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AFAQ Leaders Club
MCQ GUIDE: MATHEMATICS
LEVEL: SECONDARY
AFAQ Leaders Club
MCQ GUIDE: Mathematics
SECONDARY LEVEL
1. 7372 x 7372+ 7372 x 628 = ? 58976000
2. 999 + 888 + 777 + ? = 19700 17036
3. 24 is divided into two parts such that 7 times of the first part added to 5times of second part makes 146. The first part is?
13
4.1
4of a number subtracted from
1
3of a number gives 12. The number is ?
1445. What is sum of all prime numbers from 60 to 80?
3516. How many numbers up to 100 are divisible by 7?
147. Which of the following number is divisible by 9?
6288036848. What is the total number of prime numbers less than 70?
199. What the product of two numbers is 120. The sum of their squares is 289.
The sum of the two numbers is ? 23
10.31
10�
�
��+
�
��
�
��= ?
1
11.(272-32) . (124 + 176) / 17 x 15 – 15 = ? 300
12.92 x 182 / 316 = ? 16/81
13.If we multiply a fraction by itself and divide the product by its reciprocal,
the fraction thus obtained is 1826
27. The original fractions is?
2�
�
14.Which of the following fraction is less than 7/8 and greater than 1/3? 17/24
15. 108 ÷ 48 ��1
4+
2
5� 3
3
4= ?
101
3
16.0.8 � 0.8 � 0.8 − 0.5 � 0.53 � 0.5
0.8 � 0.8 + 0.8 � 0.5+0.5 � 0.5= ?
0.3
17.1 – [1- {1-(1 – 1 – 1)}] = ? 0
18.5005 – 5000 ÷ 10.00 = ? 4505
19. A boy was asked to multiply a certain number by 25. He multiplied it by52 and got his answer more than actual by 324. The number was?
12
20. What is the value of (0.000001)1 3 = ?
����
21.How many zeros are there in 200010 ? 30
22.What is the value of M in (�� )
2�+2 = (�� )
9−� ?
-11
23.2-2(+2) = -? 16
24.If (15)3.5 x (15)x = 158 , than x = ? 4.5
25.If 5a = 625 then 5a-2 = ? 25
26.25 x 25 x 25 x 25 = 5x, then x = ?
827.If m and n are whole numbers such that mn = (2), the value of (m – 1) x+1
is ? 1000
28.(2.4 x 103) / (8 x 10-2) = ? 3 x 104
29.The value of (256) 54
1024
30. If 15625 = 125, then value
of 15625 + 156.25 + 1.5625 is = ?
���.��
31.Find the square root of 6492304? 2548
32.If � = 10 � 490, then value of x is = ? 70
33.If � = 3081 + 36 + 169 , the value of x is = ?
55
34.If 0.04 � 0.4 � � = 0.4 x 0.0.4 x �, �ℎ�� �� �� ?
0.016
35.Find the least number which when multiplied with 74088 will make it aperfect squares?
42
36.250
?= 10
62537.The number 343 is the cube of = ?
738.The cube root of 729 is = ?
9
39.The square root of (7 + 3 5) (7 – 3 5) = ?
2
40. If a:b = 5:9 and b:c = 4:7, find a:b:c? 20:36:63
41.3rd proportional to 16 & 36 ? 81
42.Divide Rs. 1162 among A,B,C in the ratio 35:28:20 ? Rs 490, Rs 392, Rs 280
43.Which one of 2:3, 4:5 , 7:9 & 11:13 is largest? 11:13
44.Find the number that must be subtracted from the term of the ratio 5:6 tomake it equal to 2:3.
3
45.Fine the number that must be added to the term of the ratio 11:29 to makeit equal to 11:20
11
46.If a:b = 2:5, then the value of (2x + 3b) : (7a + 5b) is ? ��
��
47.An Alloy contains copper and zinc in the ratio 7:3. If Alloy contains 10.5kg zinc, then quantity of copper.
24.5 kg48.0.4:1.4:1.4:x , then x = ?
4.949. 0.4:1.4:1.4:x , then x = ?
4.9
50. If � = �5 then (x + 5) : (y : 8) is equal to ?
5:851. Two numbers are in the ratio 2:3 & their HCF is 6. The number are?
12 : 1852. If 15% of x is same as 20% of y, then x : y =?
3 : 453. If 27 : 72 = x : 8 , then x = ?
354. Which ratio is largest?
21 : 2955.Find the 3rd proportional to 4 , 42?
441
56. 175
8x 128 = ?
2256
57. 23 ÷ 2
1
4= ?
���
58.Which fraction is greater? 14 or 7 27 ?
���
59.3.1 x 2.7 = ? 8.37
60.5.064 + 3.98 + .7036 + 7.6 + .3 + 2 = ? 19.6476
61.0.5791 x 1000 = ? 579.1
62..4 x .04 x .004 x 4 = ? 0.002560
63.5.6 ÷ 0.0008 = ? 700
64.0.006 ÷ ? = 0.6 .01
65. The vulgar fraction of 0.1254 is? ��
���
66.A man earns Rs. 20.56 on Monday Rs 32.90 on Tuesday Rs 20.78 onWednesday. He spends half of all that he earned during the three days.How much he left?
37.1267.Which fraction is the largest?
��
68.If each bag of tokens weighs 53
4�� , how many pounds do 3 bags weigh?
17�
�
69. If1
3of liquid contents of can evaporates on the first day and 3
4 of
reminder evaporates on second day, the fractional part of original contentremaining at the close of 2nd day is?
�
�
70. The sum of 2.75 and 3.78 is? ͞4.53
71.Find the HCF of 332, 3724 and 4508. 196
72.If x = 23 x 35 x 59 and y = 25 x 37 x 511, find HCF of x & y? 23 x 35 x 59
73.Find the greatest possible length which can be used to measure exactlythe lengths 7m , 3m85cm, 12m95cm.
35 cm
74.The HCF of two numbers is 11 and their LCM is 693. If one of thenumbers is 77. Find the others?
99
75.Find the LCM of40
84,
60
189&
55
56
���
�
76.Reduce391
667to lowest terms.
��
��
77.Find the lest number exactly divisible by 12,15,20 & 27. 540
78.Find the greatest number which can divide 284 , 698 & 1618 leaving thesame reminder 8 in each case.
2379.The HCF and LCM of nay two numbers are 63 and 1260 respectively. If
one of two numbers is 315, then other is? 252
80. Find the greatest numbers that will divide 148, 246 & 623 leavingreminder 4,6 & 11 respectively.
1281. The HCF of x and 6x is?
x
82.Find the greatest number which will divide 25 , 73 & 97 so as to leave thesame reminder in each case.
24
83.The LCM of3
5,
3
10���
6
25= ?
�
�
84. The HCF of 3556 and 3444 is = ? 28
85. The LCM of two numbers is 14 times their HCF. The sum of LCM andHCF is 600. If one number is 80, then other number is?
28086.The standard form of linear equation in one unknown is?
��+ � , �,� � � & � ≠ �
87.If two linear equations have same solutions, they are called? Equivalent
88.The solution of3
�−1− =
3�
�−1, � ≠ 1 is
undefined
89.2x + 3 = 5 has the solution 1
90. − � = ?
�91.Linear equations have _______ solutions?
�92.If a<b and b<c so a<c, is called
Transitive93.The solution of 9-7 x > 19-2x is
{ � � � <− �}
94.� = 0 is the solution of
� − � < 095.A solution that does not satisfy original equation is called?
Extraneous root96.Find the zeros of polynomial �2 + 7�+ 12 ?
-3 , 497.Find quadratic polynomial whose zeros are – 7 & - 2 ?
�� + ��− �
98.Linear polynomial has degree? 1
99.A cubic polynomial at the most has _______ zeros? 3
100. Final zeros of polynomial 4�2 − 4� + 1
�
�
101. Find a if – 2 is the of 2�2 − � + � = 0 ?
-10
102. Degree of polynomial is the Highest power of x
103. The degree if polynomial �2 �2�2 + �2� + �2 + � �� ?
4
104. Zeros of x2 – 25 are 5 & - 5
105. The graph of 2 degree polynomial is ? Parabolas
106. What comes next 1 , 2 , 6 , 24 ---------? 120
107. What is the 10th term in sequence 1,4,7,10…….? 28
108. The common difference of the sequence 5,8,11,14 ……? 3
109. Fifth term of sequence �� = 2� − 3 is
7
110. Third term of sequence �� = ( − 1)� � − 7 �� ?
4
111. The fifth term of 3,6,12….is? 48
112. Calculate mean between 3 5 ��� 5 5 ?
� �
113. Complete the series 240, 120, 60, 30 ______? 15
114. Complete the series A, G, B, H, C________? I
115. The mean between 9 and 11 is ? 10
116. The second term of sequence�2− 4
2�� ?
0117. The sum of first 4 terms of series 1+4+7+______
22118. The 10th term of sequence 5,7,9,11 ____ is ?
23119. The 5th term of sequence 1,4,9,16____?
25120. The 6th term of sequence 0,3,8,15_____?
35
121.3
4>
12
�, then value of x is ?
16
122. For what value of x is 3 � + 5 − 5 = 7? {-1 ,-9}
123. Solution set of 2� = 6 ��? {3 , -3}
124. When � > 0 , � > 0 & � − � 0 �ℎ��?
� < �
125. If�
2− 2 >
�
3, �ℎ�� ���� �ℎ� ����� �� � ?
� > ��
126. The number of integers that satisfy inequality �2 + 48 , 16� �� ? 7
127. If 4 – a > 5 then
� < − �
128. If � � � then solution set of 2� = 4 �� {2}
129. If 4p2 = 9 and 2q2-9q + 10 = 0 then ?
p≥ �
130.3�
2= 3 the solution set is ?
{2, -2}
131. If 6x-7>5, then x will be?
� > �
132. If 3(a-6) < 4+a, then value of a will be? � < ��
133. The interval which includes one end point but not the other isclassified as?
Half-open interval134. If x < 25 and 25 < y then
� < �135. If a + 2 < 5 then 1
� < �
136. Find average of all prime numbers between 1 & 10. 3.4
137. Find average of first 50 natural numbers 51
138. Find average of first 10 multiple of 5. 27.5
139. A batsman makes a score of 90 runs in 17th inning & increase hisaverage by 3. Find his average after 17th innings.
42
140. Average of first five prime numbers is? 5.6
141. The average of 7 consecutive number is 33 the largest of thesenumbers is
36
142. The average of 7 numbers is 5. If the average of first six of thesenumber is 4. Then 7th number is?
11
143. A cricketer has a certain average for 9 innings. In 10th inning hescore 100 runs thereby increasing his average by 8 runs. His new averageis?
28 runs
144. The average of first 50 natural numbers is? 25.5
145. Out of 3 numbers the first is twice the second and three times thethird the average of three numbers is 88. The smallest no is?
48
146. The average weight of 6 men is 68.5 kg. if it is known that 2 menweigh 60kg each. Find average weight of others.
72.75 kg
147. The average of 20 number is zero of them at the most how manymay be greater than zero?
19148. Muaaz bought 5 items whose average price is 10 rupee. How
much did muaaz pay for all items? 50
149. If a car travels at an average speed of 25mls its average speed inkm/h is
90 km/h150. The average of 1st 17 multiple of 13 is ?
���
151. The word percent means? Hundredth
152. 77% is equal to? 0.77
153. 0.012 is equal to? 1.2%
154. What is 35% of 160? 56
155. 54 is 45% of what number? 120
156. 77 is what percent of 140? 55%
157. What percentage is equal to3
5?
60%
158. The radius of circle is increased by 2% find percentage increase inarea?
��
��%
159. 62
3% expressed as fraction its lowest term?
�
��
160. What fraction is 0.8%?
�
���
161. If 15% of x is equal to 5% of y, then 30% of x will equal to howmuch percent of y.
10% of y
162. If the side of square is increased by 10%, its area will be increasedby?
21%163. If the population of town increase from 100 to 150. What is
percent increase.
��%164. 25% of a number is 20 what is 40% of that no?
32165. What percent is 3% of 2%?
150%
166. The idea of matrix is given by: Arthur Cayley
167. The matrix is written in? Brackets
168. Matrices are denoted conventionally by: Capital letters
169. The order of the matrix is given by m x n
170. The order of matrix A = [2] is: 1 x 1
171. If the matrix has only one row, then it is called? Row Matrix
172. If No of rows and columns are not equal then it is? Rectangular Matrix
173. If there are exactly one row and on column in matrix, then it iscalled?
Square
174. Null matrix has all its entries of? Zero
175. Transpose of a matrix is obtained by: Interchanging rows and columns & Interchanging Columns &
Rows176. The negative of a matrix is denoted by?
–A
177. A matrix is symmetric, if ? At = A
178. Diagonal Matrix is actually? Square Matrix
179. A Matrix having all diagonal entries 1 is called? Identity Matrix
180. The Scalar Matrix and identity matrix are? Diagonal Matrix
181. (At)t = __________? A
182. A+B = B+A Commutative law
183. A + B = 0 = B+A shows? Additive inverse of Matrix
184. 2A + B = __________? A + (A+B)
185. B + Bt is ?
Symmetric
186. Distributive law of multiplication over subtraction is? A(B-C) = AB-AC
187. Multiplicative identity of matrix is? AB = A= BA
188. The product of [1 2]10is?
[4]
189. If � = 0 then the matrix is? Singular Matrix
190. Inverse of a Matrix is given by?
����
�
191. (AB)-1 = B-1A-1
192.5 0
0 5is called?
Scalar
193. Order of transpose of2 13 04 5
?
2-by-three
194. Let M b a square matrix� �� �
, then M-1 is
���−��
� − �− � �
195. (MN)T = M(NT) Associative law
196. A pair of equations to determine the value of 2 variables is called? Simultaneous Linear Equations
197. The methods of solve pair of simultaneous liner equations are?
2198. The theory of matrices was developed in?
1858
199. The value of determinant� �� �
?
ad – bc
200. The multiplication of matrices3 2 11 5 02 2 1
&123
3 x 1 matrix
201. The matrix A is Hermitian when (A)t = _________? A
202. A Square A is Hermitian when (A)t = ___? aij = 0 for all i>j
203. The matrix A = [aij]2x3 and B=[bij]3x2 are suitable for? AB
204. If A is singular matrix then the value of a in A =1 42 �
�� ?
8
205. If A =2� �� − �
then � is?
3
206. A = {1,2,3,4…….} is set of _________ numbers? Natural
207. x = {…..,-3,-2,-1,0,1,2,3……..} is set of? Z
208. The equation s{��� ≠�
�,�,���Λ� ≠ 0
Irrational Number
209. R= _________?
Q∪Q/
210. It can be written as 227 but it is ______number?
Irrational
211. 23.23 = ___________? 23/99
212. ∀a,b �R, a+b�R shows____ property under addition. Closure
213. ∀���, a=a shows __ property. Reflexive
214. ∀�,���, � < � �� � = � �� � > � �� ������? Trichotomy Property
215. � + − � = 0, Name the Property
Additive Inverse
216. � � � = ?
�� �
217. � �� = ?
(� �)�
218. � �� = ? a
219. 4 32 = ?
���
220. am-n
����
221. ( 8 125 )−4
3 = ?
�����
222.4(3�)
3�+1− 3�= ?
2
223. A number whose square is -1 is called? Complex Number
224. The symbol � for ���� is first used by? Leonard Euler
225. �2 = _____?
– 1
226. �10 = _____?
− �227. Set of complex number is shows by?
� = {��� = � + � , ∀�,��� ∧ ∀���}
228. Complex number may be divided into ________ parts? 2
229. In conjugate of complex number _________ part sign is changed? imaginary
230. If a=c & b=d, then which of the following is ture? a+bi=c+di
231. Symmetric law of complex number states?
�� = �� → �� = ��232. ���� = ? , if �1 = � + ��& �2 = � + ��
(ac-bd) + (ad+bc)i233. If �� = �� then ����� will be
1
234. The imaginary part of (− 1 + − 2)2 is = ?
− � �
235. (25
16)−1
2 is = ?
��
236. The idea of logarithms was first given by? Al-Khwarizmi
237. The tables of logarithms was first made by? John Napier
238. John Napier prepared logarithm table using base? e
239. The concise, precise and convenient method to write very large orsmall numbers is called?
Scientific Notation
240. 0.000042 in scientific form is ______? 4.2 x 10-5
241. Common logarithms have base of ? 10
242. ����1 = _________? 0
243. ����� = _________? 1
244. Log 10 = _________? 1
245. ����2 = ?
�
�
246. The log of any number consists of ______ parts.
�
247. The characteristic of number 1.024 is?
�248. The characteristic of Number 0.00456 is?
− �249. The number of significant digits in 0.00459 is?
�250. Common log is also called ?
Decadic Log251. Napier’s log is also known as?
Natural Log
252. Lo���� = __________?
nlogam
253. logan = __________? Loga n x loga b
254. The log of unity to any base is _______? 0
255. Log e = ____________ where e ≈ 2.718 0.4343
256. The first co-efficient of polynomial is called? Leading co-efficient
257. Every polynomial is a _________ expression? Rational
258. To examine if a rational expression is in its lowest HCF
259. To find sum & difference of rational expression, first we find their? L.C.M
260. The LCM of ( 1 �−4 ) + (1�+4 ) +(
1�2−�2
) = _______?
���−��
261. By substituting specific numbers in Algebraic Expression, theresulting number is called _____ of expression.
Value
262. Evaluate x2 + y2 if x=1 and y=1? 2
263. (a+b)2 + (a-b)2 = ? 2(a2+b2)
264. (a+b)2 – (a-b)2
4ab
265. (a+b+c)2 is specifically called?
Trinomial266. a3±b3 =
c) � ± � �� ∓ ��+ ��
267. (4x + 7y) (16x2 – 28xy + 49y2) = ______? b) (4x)3 + (7y)3
268. (x+y)(x-y)(x2+xy+y2)(x2-xy+y2) = ?
x6 – y6
269. zx2 + 4y + 3xy – 2 is an algebraic?
����������270. The degree of polynomial 3x5+4x5y+7y5 is ?
6271. x2 – 4 =
(x+2) (x-2)
272. Conjugate surd of 2 − � is defined as?
� + �
273. A surd which contains sum or difference of two surds is called? Binomial
274. An irrational radical with rational radiant is called? Surd
275. Highest power of polynomial is called? Degree
276. The factors of xy+xz are? x and (y+z)
277. The factors of ax + ad + bc + bd are? (a+b) (c+d)
278. (2x + 3)2 = ? 4x2 + 9 + 12 x
279. (2x – 2y + z) (2x + 2y – z) 4x2 – (2y – z)2
280. (x – 3) (x – 4) are the factors of expression? x2-7x+12
281. ______ theorem stated that if a polynomial is called? Reminder
282. In reminder theorem, the degree of reminder should be____? Zero
283. The division Algorithm of reminder theorem is? p (x)= (x – a) + q (x) + R
284. The reminder of p (x) = x2 + 6x – 2 when divided by x is? 2
285. The condition of factor theorem is p (a) = _________? 0
286. Factor theorem algorithan is given by? p (x) = (x-a) q (x)
287. The factor theorem is used to find Factors
288. What will be added to complete the square of qa2 – 12ab?? (a2 – 2b2), (a2+2b2)
289. Find y if z2 + 4z + y is a complete square? 4
290. (a2 + b)2? a3 +3a2b + 3ab2 +b3
291. The HCF can be find by __________? Both Division and Factorization
292. LCM =?
� � × � (�)
���
293. HCF 39x2y2 and 13xy is ? 13xy
294. The square root of 4x2 – 12 x + 9 is ? Both 2x – 3 and 3 – 2x
295. Square root of P (x) is given by ? q (x) . q (x)
296. expansion of (x + 3y) (x – y) gives? X2 + 2xy – 3y2
297. 9a2 – 4 gives? (3a + 2) (3a – 2)
298. If x = 3 is solution of x2 + kx + 15, the value of k is? k = – 8, x = 5
299. The two positive numbers differ by 5 & square of their sum is 169are?
4,9
300. The whole number such that twice of its square added to itselfgives 10?
2301. Factorize – 4h2 + 81 =?
(9 + 2h) (9 – 2h)302. Factorize 4x – 20 =?
4 (x – 5)303. If a = 20, 6 = 35 & c = 5 than (4a + b) /c is?
23304. “pqr” is what type of polynomial?
monomia305. The value of x2 – 5 at x = –1 is?
4306. What degree does x3 – 2y2 – 8y2 + 2 have?
4307. Value of 5x25 – 3x23 + 2x–12 at x= 1?
4308. 15 ax2 / 5x gives?
3ax309. Simplify a (c – b) – b (a – c) =?
a2 – 2ab + b2
310. The specific order of real number (x,y) is called ? Order Pair
311. Two mutually perpendicular lines shows? Plane
312. xy-plane is also known as? Cartesian plane or xy-plane or Rectangular plan
313. Number x<o & y>o lies in __________ quadrant of xy-plane? 2nd
314. The point of intersection of two linear equations is called? Solution
315. If (x,o) = (o,y), them (x,y) = __________? (o,o)
316. Which ordered pair satisfies equation (y = 2x)?
(1,2)
317. The x-coordinator of a point is called __________? abscissa
318. Collinear points are those points that lies on _______line? same
319. For a equation x=a, the graph will be? Parallel to x-axis
320. The slope of a straight line is referred as? Inclination of plane
321. The point graph where the equation intercept crosses the x-coordinator is called?
x-intercept
322. The graph of linear equation with true variable is plotted in? Two dimensions
323. The slope of linear equations straight line is qualified with the helpof?
Real Number
324. The ordered pair of y intercept can be find by substituting the? x = o
325. The seat of child is 4th place in 2nd row, the correspondents orderedpair is?
(4,2)
326. The point of intersection of two co-ordinates axis is calles? Origin
327. The horizontal line xox on xy plane is calles? x-axis
328. The y-coordinate of point is called? Ordinate
329. x and y-axis are ____________ to each other?
Perpendicular
330. the maximum degree of quadratic equation is? two
331. The standard form of quadratic equation is? ax2 + bx + c = o, x ≠ 0
332. In an equation ax2 + bx + c = o, a ≠ o if b = o then equation iscalled?
Pure Quadratic equation
333. The “quad” means? square
334. The solution of quadratic equation are called? roots
335. There are ___ways to above quadratic equation? 3
336. The maximum roots of quadratic equation ? 3
337. If a<o, then f (x) = ax2 + bx + c has? maximum value
338. If x2 – 7x + a has reminder 1 when divided by x+1, then a = _____? - 7
339. The quadratic equation whose roots are Q,B is? x2 – (x+b) x + xb = 0
340. If root of p2 + qx + 1 = o are equal then? q2 – 4p = 0
341. The sum of roots of ax2 + bx + c is? – b/c
342. Discriminate is ? b2 – 4ac
343. We get one-real solution of ax2 + bx + c =o when b2 – 4ac will be? > 0 and < 0
344. When b2 – 4ac is negative, the solution is? complex number
345. Quadratic equation can be? factored
346. The graph of f (x) = x2 is? parabola
347. The graph of x2 will flip when? a < o
348. x3 + ax + 5 is divided by x, then reminder is? 5
349. x2 + 4x + 4 is? Polynomial
350.1
∝+
1
�= _________?
∝+ �/ ∝ �351. Product of cube root of unity is?
1
352. 22 – 4ac < o but not perfect square then root of ax2 + bx + c =o are? Irrational
353. Find discriminate of quadratic equation 2x2 – 4x + 3 = 0? – 8
354. The root of equations 4 – 32x = 17x2 are?
{�
��, − �}
355. The solution set of equation 4 x2 – 16 = 0 is? {±2}
356. An equation of the luge 3x + 32–x + 6 = 0 is a/an?
Reciprocal equation
357. The linear factors of x2 – 15 x + 56 are? (x – 7) (x – 8)
358. An equation, which remains unchanged when x is replaced by 1/xis called?
Exponential equation
359. The standard form of2�+1
�+2–
�−2
�+4= 0 is?
x2 + 9x + 8 = 0
360. A root of equation that does not satisfy equation is called? extraneous root
361. Solution set of equation 16x2 – 1 = 0?
{1/ ± �}
362. An equation which contains square of variable, but no high poweris called?
Quadratic equation
363. W 63 =______? 1
364. Cube root of – 1 are? 1, - w, - w2
365. The equation whose roots are 3 and 4 is? x2 – 7x + 12 = 0
366. The roots of x2 + 8x + 16 =0 are ? Equal & Rational
367. Discriminant of x2 – 3x + 3 =0 is ? 3
368. – w2? –w 2
369. X –15 + w –17?
− �
370. A well-known collection of objects is called? Set
371. Sets are denoted by? Capital letters
372. A ≥ B means? A is superset of B
373. The set o rational number Q is a subset of? set of complex number
374. If A = { } the P (A)? {∅}
375. {x l xen, x ≤ 10} is? Set builder method
376. The set {(1,2,3), (4)} has _____ elements? 2
377. The set of student of class is? Finite set
378. The set of students of class is? Singleton set
379. If A ≤ B { B ≤ A, then? A = B
380. The number of sub set of A = {1,2,3} is? 8
381. If A has 32 elements & b has 42 elements & AUB has 62 elements,the number of elements in AUB is?
12
382. ANA ____?
A
383. ANAʹ = ___?
Aʹ
384. (ANBʹ) = ____?
AʹN Bʹ
385. A set has _________ objects? Distinct
386. If every element of set A is an element of set B, them?
� ⊂ �
387. If n (s) = m, then np (s) = ___?
��
388. AUB is defined as?
� � ∈ � ∨ � ∈ �
389. ANA� = ________?
A390. Aʹ can be defined as?
�ʹ = �/� ∈ � ∉ �⋀⋃
391. If A x B = B x A, then? A=B
392. If A has m elements and B has n elements, then A x B has elements?
�× �
393. In 3rd quadrant? x<0, y>0
394. Empty set is a? Finite Set
395. How many rational & irrational numbers are possible between 0 &1?
Infinite
396. If R1 = {(1,2) (2,3) (3,4)}, then domain is? {1,2,3}
397. If A,B,C are three sets such that ANB =AUC & ANB =AUC, then
B=C
398. Z = {x:x ≠ x} shows? { }
399. The set A will be if AU{1,2} = {1,2,3,5,9} is?
{3,5,9}
400. The number of proper subsets in {a,b,c} are? 6
401. If n (A) = 115, n (B) = 326, n (A – B) =47, then n (ANB) will be?
373
402. {(a,b) : a2+b2 = 1} on set S shown relation of? Symmetric
403. Which one is linear function?
{(�,�)|� = �� + �}
404. What is the cardinality of set of add positive integers less then 10? 5
405. The set of positive integers is? Infinite
406. Two sets are called disjoint if there _______ is empty set? Inter-Section
407. The union of sets in bit string is given by? OR
408. Set consisting of all the first elements of each ordered pair in R iscalled?
Domain409. The set of rational number is denoted by?
Q410. A={(φ)}, {φ, {φ} this P(A) has elements.
4411. A= φ, then A=?
u412. The set having all second elements of each order pair in R is
called? Range of Relation
413. Set can be described in ………………different ways. 3
414. The set of natural number I addition with zero is called set of. Whole number
415. A set with no element in called? Empty set
416. The inverse of � → � is
− � →− �417. The logical form (AUB) =A∩B is?
~ (pvq) = ~ pʌ~q2
418. Subset if AxB is called?
Relation from � → �
419. The conjunction of Two elements p & q is denoted by pʌq
420. The relation {(1,2) (2,3) (3,4) 3,5)} Not a Function
421. Point (-2,4) lies in? 2ndQuerist
422. If �:� → � & range of f=B, then f is an ___ Function. On-To
423. Venn Diagram is first used by? John Venn
424. A Subset of AxA is called ………….in A. Relation
425. Function is 1-1- and onto function, then it is? Bijective
426. 10 A≤B, Then AUB=………...? B
427. ∅c = _________? U
428. If �:� → � and range ⊆ B, the function is? Into Function
429. � ∩ �� = ________?
∅430. The relation in which are increase in one quantity causes increase in
second quantity, is called? Direct relation
431. There are ………………. types of variation? 2
432. The ratio of 2km to 600m is? 10:3
433. If � ∝1
�, then
xy=k
434. In a: b= c: d, b & c are called? Mean
435. Combination of direct & Indirect proportion is called? Joint proportion
436. If 36 men can do piece of work in 25 days? 60
437. The first term of ratio is called? Antecedent
438. The second term of ratio is called? Consequent
439. If the is compounded log itself. Then ratio is called? Duplicate
440. Show the simplest ratio. 450 cm, 3m 3:2
441. Find in proportion 4:4: 5:15 12
442. Simplest ratio s/w 4kg, 2kg 750 gm is? 16:11
443. If 3(4ϰ-5y) = 2ϰ-7y, then ratio ϰ: y is? 4:5
444. Find cost of 8kg of mangoes if 5kg of then cost Rs 250. Rs 400
445. Find ϰ of 3ϰ-2:4 :: 2ϰ+3:7? 2
446. A x1/2 and A=2 when r=3, find r when A=72. +1/2
447. Find 3rd proportional to 6,12. 24
448. Find mean proportional between 20ϰy- 5ϰy. ± ������
449. If a: b = ϰy, then inverted property is? b: a = y: ϰ
450. A fraction is an inflicted ……………. of two numbers or algebraicexpression.
Quotient
451. (x+2)2 = x+ 4+ 4x is. An identity
452. A reaction in which equality is true only for a number of unknownis called on?
Equation453. A friction in which the degree of numerator is greater than or equal
to denominator is called. An improper fraction
454. Partial fractions of 1/(x+1) (x2-1) will be of form? [A/(1+x)] + [B/ (x+1)2] +[c/x-1]
455. Partial fraction of 1/ϰ+1 is? [A/x+1] +[Bx+c/x2-x+1]
456. The rational fraction is proper fraction if degree of P(x) < Q(x)
457. 2/(x+6) (x+8) =? [1/x+6] - [7/x+8]
458. x+3 =4 is called? Equation
459.1
�2−1=?
a)�
�+�+
�
�−�
460. A group frequency data is also called? frequency distribution
461. A histogram is a set of adjacent? Rectangles
462. In commutative frequency, polygon frequencies are pouted against? upper class boundaries
463. A deviation is defined as a difference of any value of variable form a. Constant
464. A data in the form of frequency distribution is called? Grouped data
465. Mean is affected by change in? origin
466. The most frequent occurring observation in data is known as? mode
467. The measure which determines the middle most observation in data set iscalled?
median
468. The observation that divides data into four farts are called? Quartiles
469. The spread or scantiness of observations in a data set in called? Dispersion
470. Which of the following describes middle part of group data? Measure of central tendency
471. The sum of deviation about the mean is always? Zero
472. Which of the following is not measure of central tendency? Standard deviation
473. If standard variation of data is 10, the data variance is? 100
474. Sum of dots when two dice are rolled is?
Discrete variable
475. The weight of students in a class is? qualitative variable
476. The first hand unorganized data si called? primary data
477. Given ϰ1= 10, ϰ 2 =5, ϰ3 =15, ϰ4 = 20 then 50
478. Statistic is numerical quantity, which is calculated? Sample
479. The measure of dispersion can never be? negative
480. The sum of squares of deviation is least if measure from? Mean
481. Lowest value of variance can be? 0
482. The variance of a content is? 0
483. Mean deviation, variance and standard deviation of values 4,4, 4,4 is? 0
484. The coefficient of skewness is always zero for – diction twin. symmetrical
485. Lack of symmetry is called? Skewness
486. The geometric mean of -2,4,3,6, & 0 will be? can’t be computed
487. If the diatribe action has two modes, then it is? Bi-modal
488. Harmonic mean of any two number is?
���
�+�
489. Geometric mean of a & b is?
� × �
490. The minimum value in class limit is called? lower limit
491. The total of frequency up to an upper-class limit is called? cumulative frequency
492. A tabular arrangement for classifying data into different group is? Frequency distribution
493. By dividing two successive class limits & dividing their sum by 2, we abstain? Class boundary
494. The mean of squared variations of observations from their arithmetic mean is? Variation
495. The Arithmetic Mean of values 2, 7, 9, 18 is equal to.? 8
496. The difference between maximum & minimum observation is? Range
497. A frequency polygon is many sided? closed figure
498. The minimum & maximum values defined for class is? class limit
499. By empirical rule, what percent of data should lie within � ± �? 95%
500. If sin � = 3 then cos � = ?
√7/4
501. Sin (13�/6) = ? ½
502.1
sin �+1+
1
1−sin �= ?
� ���� �503. Sin (ᴫ/2) =?
1
504. 1+ tan � =?
sec2 �
505. Cos � + sin � =? 1
506. Cosec � – cot � =? -1
507. Angle between O⁰ and 90⁰ lies in? 1st quadrant
508. The system in which angles are measured in radians is? Circular system
509. The value of 24o in radians should be? 4ᴫ/3
510. ᴫ radian is equal to? 180⁰
511. Tan � =………………?
1/cot �512. 3ᴫ/2 radians are equal to?
270⁰513. 1+ tan2 � =……………?
sec2 �
514. Angle between 270⁰ & 360⁰ lies in ……………quadrant?
4th
515. If I= 52cm & � =45, then r =? 66.21cm
516. Cot �=……………………?
Cos �/sin�
517. 2ᴫ is equal is? 360⁰
518. If � =180 & r = 49cm then l=? 15.4cm
519. Value of 30⁰ in radian is? ᴫ/6
520. The fundamental trigonometric ratios are? 6
521. Area of sector with radius r is measured by?
0.5r2 �522. Sin O⁰ =……………...?
0
523. Cos 180⁰ =……………….? -1
524. 2sin 30⁰ + 2tan 45⁰ – 3cos 60⁰ +2cos2 30⁰ =……………….? 3
525. 20⁰ =…………………………? 1200ʹ
526. If tan � = √3, the � =……………….?
60⁰
527. ½ cosec 45⁰ =…………………...?
1/√2
528.tan �
cos �=?
sin�529. sec330 =…………………….?
c)
530. Which one id dimensionless? Point
531. A straight path passing through at least two points?
line532. A portion of line is called?
line segment
533. A straight path with one terminal point & extending indefinitely inother direction is called?
Ray534. A flat surface without boundaries?
plane535. Lines that intersect at 90⁰ are called?
Perpendicular536. The angle less than 90⁰ is called?
acute angle
537. The angle � such that 90⁰<�<180⁰ is called? obtuse angle
538. The angles that add up to 180⁰ is called? supplementary angles
539. Two angles that add up to right angle is called? complementary Angles
540. The angles ∠a and ∠b in figure are called?
Vertical angles541. A line that interests two or other lines, is called?
transversal542. When the lines are intersecting by transversal, which of the
following pairs of singles are congruent? All the above
543. Angles that are on same side of transversal and are both outside theparallel lines are called?
consecutive extender tangles544. The minimum number of sides of make polygon are?
3545. Septagon has …………………. sides?
7546. Dodecagon has …………. sides?
12547. The point where two ranges meet in called?
vertex548. Triangle has vertices?
3
549. A polygon with no interior angle grater then 180, is called? Convex polygon
550. A figure where all angles are equal in measure is called? equiangular
551. A polygon that is equiangular and equilateral is called? Regular polygon
552. Triangles that has 3 congruent sides is called? equilateral △
553. Triangles whose all three sides are elifferent? scalene triangles
554. The sum of all three angles of triangles is? 180⁰
555. Four-sided shape is called? quadrilaterals
556. The adjacent angles of quadrilaterals are always? supplementary
557. Four sided figure whose opposite sides are parallel and all anglesare of 90, is?
Both a & b558. Rhombus is sided figure?
4559. Four sided that has only one set of parallel sides’ known as?
Trapezoid560. Deltoid is also called?
kite561. Square can be classified into?
Both a & b562. Square is a Quadrilateral?
Regular563. The sum of all angles in pentagon is?
540⁰564. The sum of all angles in octagon is?
1080⁰565. Sum of interior angles of n-gun=?
(n-2) x 180⁰566. The set of points equal in distance from center is?
circle567. The line segment so that joins two points on circle is?
chord
5cm
5cm
1cm5cm
5cm
5cm
2cm 2cm
568. Secant is line intersecting circle at points? two
569. The line AB is to the cried?
Tangent570. For similar figures, which quantity should be equal?
Angles571. The generalization of plane to more than two dimensions is called?
hyper plane572. The circumfix Terence of circle means, its?
perimeter573. The punts that lie on the same straight line, are?
Collinear574. The point on line segment that divides it into two equal lengths, is?
Mid-Point575. Pi is the ratio of circumference of circle to its?
Diameter576. A pyramid with circular cross section is called?
cone577. A two-dimensional piece of 3-D space, is?
surface578. The amount of space occupied by a closes 3-D object is?
Volume579. A property of two moduli?
congruent580. What is the perimeter of a square with side length of Sum?
20cm581. The perimeter of given shape is?
16 cm582. Perimeter of circle is given by?
2ᴫr583. calculate area?
3cm2cm
4cm
6cm
4.5cm
7.5cm
3cm
5cm
3cm
2cm3cm
10 cm2
584. Find the area?
12 cm2
585. Area of parallelogram is same as that of? Rectangle
586. Find the area?
18cm2
587. The area of the circle whose radius is 1cm is? ᴫcm2
588. the circumference of circle whose radius is 1 cm is? 2ᴫ
589. The perimeter of given shape is?
13 cm590. The area of square whose side is low?
100m2
591. The area of square whose perimeter is 20cm? 25cm2
592. Solid object with two congruent & parallel faces is? prism
593. A solid with two parallel circular bases is? cylinder
594. A solid figure where all points are an equal distance from thecenter point is called?
sphere595. The volume of sphere is given by?
4/3�r3
a
c
596. The volume of ball having radius 3 cm is?
36 �cm3
597. The side of triangle opposite to right angle is called? hypotenuse
598. Pythagorean theorem is applicable for triangle?
Right Angle599. According to Pythagorean theorem?
a2= b2+c2
600. vertical angles that are opposite to each other are also? Equal
601. The surface area of hollow cylinder with radius r & height h ismeasured by?
2 ᴫrh602. A polygon having 10 sides is called?
decagon603. The exterior angles of any polygon sum up to?
360⁰604. A triangles two sides & two angles are equal is?
isosceles △605. In terms of radars, a diameter is equal to?
2r606. The longest chord in a circle is known as?
Diameter607. Angles are measured in?
degree608. The interior angles of any triangles sum up to?
180⁰609. find perimeter of circle having rides 10cm?
20 ᴫ cm610. Find a?
If
135⁰
b
b=45⁰a=?
611. Find the average of w, x, y, z in given figure?
45⁰612. Find x?
10613. The sum of all measures of the angles around a point is?
360⁰614. The sum of acute angle and obtuse angle made by transversal is?
180⁰
615. What is the value of x if ratio of y to x is 7 to 3?
27⁰616. What is the value of a+b/a-b in given figure?
11⁰
w⁰
x⁰ y⁰
z⁰
y⁰ x⁰
a⁰a⁰
a⁰ a⁰ a⁰
a⁰
b⁰
b⁰b⁰b⁰
b⁰
b⁰
617. A angles is equal to one-third of its supplement. It measure is equalto?
45⁰618. The complement of angle exceeds the angle by 60⁰ then the angle
is equal to? 15⁰
619. Find the 3rd angle?
60⁰620. In the given figures which of the following is true?
a+b=c621. What are the values of a & b?
a= 73⁰, b= 75⁰622. Find x?
65⁰623. Find the value of a⁰ ?
60⁰ 60⁰
x
a
b
c
b⁰C
75⁰
32⁰
a⁰
B
A
D
E
75⁰
45⁰ b⁰A
B
Ca⁰
D
x⁰
A
B
C
C
D35⁰
120⁰
120⁰624. The average of x & y in given figure?
45⁰625. The perimeter of triangle is?
a + b +c626. Calculate area of triangle whose base is 2 cm and height is 5 cm?
5cm2
627. Find a⁰, b⁰ and c⁰ in given triangle?
35⁰,55⁰, 90⁰
628. Find the value of x?
30⁰
629. Find the area of △PRT?
C
A
B
x
y
A
B Ca
bc
b125⁰
C
c
145⁰ a
A B
3x
2x
30⁰
4.5630. The total sum of all the angles of given figure is?
360⁰631. Find the value of �⁰?
110⁰632. The complete measure of complete circle is?
360⁰633. An angle whose vertex is at center of circle is?
central angle634. The length of the arc x is given by?
�
������
635. what is the circumference of circle whose area is 100�? 20ᴫ
636. What is the area of acre whose circumference is ᴫ? ᴫ/4
637. the area of sector si given by?
�
�����
PQ
R S
T
53
b⁰ a⁰
50⁰
�⁰
30⁰
638. What is the length of are AB?
8 ᴫ639. What is the area of given circle?
100m2
640. What is the area of shredded circle? 40 ᴫ
641. The length of rectangle is 7 more than its width. If perimeter ofrectangle is same as perimeter of square of side 8.5. what is the length ofdiagonal of rectangle?
13642. A square having side 7m has area?
49m2
643. If length of rectangle is 4 times it width, its area is 144, what is itsperimeter?
60644. How many sides does a polygon has if the measure of each interior
angle is 8 times the measure of each exterior angle? 18
In given figure w, x, y, z are midpoints of rectangle ABCD,
645. find perimeter of w, x, y, z? 40
646. What is the area of w, x, y, z? 96
BO
A
10m
w BA 8
6
x
CyD
z
647. What is the perimeter of rectangle ABCD? 56
648. Find area of the region outside of ABCD in given figure?
15649. What is the area of circle whose radius is diagonal of square whose
area is 4? 8 ᴫ
650. The sum of all angles of square is? 360⁰
651. Name the triangle with sides 8 cm, 15 cm and 17cm?
Right angle △652. Two chords of a circle which are equidistant from canter are?
Congruent653. The largest chord in a circle is?
diameter654. In figure ADB is called?
A chord
655. Radii of a circle are? All equal
656. Right bisector of chord of a circle always passes through the? center
657. Through how many collinear points, a circle can pass? 3
658. A chord passing through the center of circle is? diameter
D
F
E D
G
C
A B
6
3
4
DA B
O
659. In fig the line PQ is called?
tangent
660. In circle if �� is radial segment and PTQ is tangent line, then?
OT ⊥ ͞PQ661. A line which has two points in common with circle is called?
Secant of circle662. Two tangents drawn to a circle from point outside it is in length?
equal663. A circle has only one?
center664. A 4cm long chord make sentry angle of 60. The radial segment is?
4665. A pair of chords of circle subtending two congruent Centro angle is?
Congruent666. Equal chords of circle make equal angler?
central667. Any two angles in same segment of circle are?
Equal668. The opposite angles of any quadrilateral incised in circle are?
supplementary669. The portion of circle between two radii and an area is called?
sector670. Angle inscribed in semi- circle is?
ᴫ/2671. the measure of external angle of regular hexagon is?
ᴫ/8672. how many tangents can be drawn from a point outside the circle
2673. The center of an inscribed circle is called?
T
P
Q
O
Q
T
P
O
in center674. The center of a circumscribed circle is called?
Circumventer675. Two intersecting circles are not?
Concentric
676. In the correspondence △ ���⟷△ ���, then which of thefollowing is true?
∠� ↔ ∠�
677. If bisector of an angle of triangle bisect the side opposite to it, thetriangle is?
isosceles678. Each signal of parallelogram dissects it into congruent triangles?
Two679. The line segment joins the mid points of the sides of quadrilateral
taken in order form? parallelogram
680. The symbol of congruently is?
≅681. The bi sector of angles of triangle are?
Concurrent682. Any point on the bi sector of an angle is equidistant from its?
Arms683. The right bi sector of sides of triangle are?
Concurrent684. Right bi sector always ______?
Perpendicular685. In scalene triangle, opposite to largest side is of measure greater
then? 60⁰
686. The Hypotenuses of the right-angle triangle is always ___ thaneach of other two sides?
greater687. from a point outside a line, the perpendicular is the __ distance
from point top line? Shortest
688. The comparison of two like quantities is called? ratio
689. Equality of two ration is? Proportion
690. The point determine line and ___ non collinear point?
3691. A line segment has exactly midpoint?
one
692. a2+b2 = c2, then triangle is? ∠c = 90o?
Right∆
693. a2+b2 > c2, then triangle is ? <c= 90o?
Acute ∆
694. a2 + b2 > c2, then triangle is? ∠c= 90o?
Obtuse ∆695. Pythagoras theorem state that?
a2 + b2 = c2
696. Triangle on the same base and are of same attitude are ?
equal
697. A triangle region means the union of triangle and its? Interior
698. The point where three medias of triangle meet is called? Centroid
699. The common point is known as point of? concurrent
C
A Bc
ab
