Linear Equation - Questions

8/11/2019 Linear Equation - Questions

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1. f(x) is a 6 degree term with coefficient of x^6 equal to 1. f(1)=7. f(2)=10

f(3)=13 f(4)=16 f(5)=19 Find f(6) ?

2. Nikhils mother asks him to buy 100 pieces of sweets worth Rs 100/-. The

sweet shop has three kinds of sweets kajubarfi, gulabjamun and sandesh.

Kajubarfi costs Rs 10/- per piece, Gulabjamun costs Rs 3/- per piece and

Sandesh costs 50 paise per piece. If Nikhil decides to buy at least one sweet

of each type, how many Gulabjamuns should he buy?

3. Three truck drivers Amar, Akbar and Anthony stop at a road side eating

joint. Amar orders 10 rotis, 4 plates of tadka and a cup of tea. Akbar orders

7 rotis, 3 plates of tadka and a cup of tea. Amar pays Rs 80 for the meal and

Akbar pays Rs 60. Meanwhile, Anthony orders 5 rotis, 5 plates of tadka and5 cups of tea. How much (in Rs) Anthony will pay?

(A) 75

(B) 80

(C) 95

(D) 100

(E) None of the above

Q. A boy bought 3 apples, 5 mangoes, and 8 bananas for Rs.87. Had he

bought 5 apples, 7 mangoes and 6 bananas, it would have cost him

Rs.121. By how how much an apple and a mango together cost morethan a banana?

a)Rs.15

b)Rs.17

c)Rs.19

d)Rs.20

e) Cannot be determined


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4.A property dealer bought a rectangular piece of land at Rs. 1000/sft. The length

of the plot is less than twice its breadth. Due to its size, there were no buyers for

the full plot. Hence he decided to sell it in smaller sized pieces as given below.

The largest square from one end was sold at Rs. 1200/sqft. From the remaining

rectangle, the largest square was sold at Rs. 1150/sqft.

Due to crash in the property prices, the dealer found it difficult to make profit

from the sale of the remaining part of the land. If the ratio of the perimeter of the

remaining land to the perimeter of the original land is 3:8, at what price (in Rs)

the remaining part of the land is to be sold such that the dealer makes an overall

profit of 10%?

(A) 500 /sqft

(B) 550 /sqft

(C) 600 /sqft

(D) 650 /sqft

(E) None of the above

Q5. Rahul gives $ 90 plus one I-pad as salary to his employee for one year.If his

employee leaves after 9 months and receives $65 and the I-pad. Find the price of

I-pad?

a) $12 b) $15 c)$8 d) $10 e) $16

Q6. Solve the simultaneous equations:

X+y+xy = 19

Y+z+yz = 11

X+z+xz =14

7.For what values of 'k' will the pair of equations 3x + 4y = 12 and kx + 12y = 30 not have a unique solution?

A. 12

B. 9

C. 3

D. 7.5

E. 2.5


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Q8. 3x+2y+4z = -1-4x+3y-pz = 312x+qy-13z = -14

If this system of equation have infinite solutions, then find the value of pq.[x,y and z are real numbers]

a)-13 b) -12 c) -11 d) -10 e) -9

9. In three more years, Miguel's grandfather will be six times as old asMiguel was last year. When Miguel's present age is added to his

grandfather's present age, the total is68. How old is each one

now? Copyright Elizabeth Stapel 2000-2011 All Rights Reserved

10. One-half of Heather's age two years from now plus one-third ofher age three years ago is twenty years. How old is she now?

11. "Here lies Diophantus," the wonder behold . . .Through art algebraic, the stone tells how old:"God gave him his boyhood one-sixth of his life,One twelfth more as youth while whiskers grew rife;And then yet one-seventh ere marriage begun;In five years there came a bouncing new son.Alas, the dear child of master and sage

After attaining half the measure of his fathers lifechill fate took him.After consoling his fate by this science of numbersfor four years, he ended his life."

Find Diophantus' age at death.


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12.. All but 6 pets are dog, all but 9pets are cat and all but 13 pets are

rabbit.Find total no. of pets(dogs+cats+rabbits) I have ?

13.A biologist is researchinga newly-discovered species

of bacteria. At time t =

0hours, he puts one hundred

bacteria into what he has determined to be a favorable growthmedium. Six hours later, he measures 450bacteria. Assuming

exponential growth, what is the growth constant "k" for the

bacteria?

14.A certain type of bacteria, given a favorable growth

medium, doubles in population every 6.5hours. Given that

there were approximately 100bacteria to start with, how

many bacteria will there be in a day and a half?

15. In an examination there are 30 questions.In 1 mark is given for each correct answer and

0.25 is deducted for every incorrect answer.Ankur attempted all the questions and scored

13.75.How many incorrect answers did he have?

a.10 b.11

c.12 d.None of the above

16. A pencil, eraser and notebook together cost Rs100. A notebook costs more than

two pencils, three pencils cost more than four erasers, and three erasers cost more than

a notebook. Assuming the cost of each item to be a positive integer, what is the

difference between the cost of notebook and pencil?


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(1) 29 (2) 32 (3) 25 (4) 10 (5) 15

17. Meghana purchased some apples, oranges and pineapples, spending a total amount

of 100. The cost of an apple is 7, of an orange is 3 and of a pineapple is 8. If Meghanahas purchased at least five of each fruit, then how many oranges did she buy?

a)5

b)6

c)7

d)8

Q.18 )In an examination there are 150 questions. A studentscores 1 mark for a correct answer, -1/4 for a wrong answer and-1/6 for not attempting a question.

The net score of Goyal in that test is 57.

i). The number of combinations of correctly answeredquestions and unanswered questions in which Goyalcould have scored 57 is

a)2

b)3

c)4

d)5

ii).The number of questions for which Goyal got a wrong

answer, given that the number of correct answers is amultiple of 5, is

a)46

b)52


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c)66

d)None of these

Q19 )Rajeev bought some erasers, pencils and pens (at least one

of each kind). The cost of each eraser is 10. Rajeev has bought

twice as many pens as pencils. A pencil is thrice as expensive asan eraser whereas a pen is twice as expensive as an eraser.

Rajeev has spent a total amount of 470i). Find the maximum number of items that could have

been bought by Rajeev.

a)43

b)40

c)41

d)47II). If Rajeev has bought at least one pencil more than the

number of erasers, then find the number of items boughtby Rajeev.

a)17

b)23

c)24

d)19


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Linear Equation - Questions