Test 1 - 3 Year Program

Domain: Class IX Test Code: TST2006AT20677 Course:Admission Test

Total Questions: 10 Total Time: 60 min. Maximum Marks: 30.0

Section Details:

Section 1

Subjects: Mathematical Aptitude, Class IX Maths, Logical Aptitude

Total Questions: 10

Section 1Section Title: Section 1

Total No. of

Questions:10

Subjects:Mathematical Aptitude, Class IX Maths, Logical Aptitude

1. If 5 spiders can catch five flies in five minutes. How many flies can hundred spiders catch in 100 minutes?

(A). 100 (B). 1000

(C). 500 (D). 2000

Correct Answer

D

Explanation

No. of spider-minutes (same as man-hours term) = 5 5 for 5 flies i.e. 25 spider-minutes for 5 flies.

No. of spider-minutes given = 100 100 No. of flies =

(Marks: 3.0, Negative Marks : 0.0).

2. When 75% of a no. is added to 75, the result is the same number. The no. is

(A). 150 (B). 300

(C). 100 (D). 450

Correct

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Answer B

Explanation

Let the number be x.

According to the condition:

(Marks: 3.0, Negative Marks : 0.0).

3. Directions: The question given below is followed by three statements. Study the question and the statements. Identify which option is necessary to answer the question.

A tank is fitted with two taps A and B. In how much time will the tank be full if both the taps are opened together?

I. A is 100% more efficient than B

II. A alone takes 16 hours to fill the tank

III. B alone takes 32 hours to fill the tank

(A). I and III only (B). I, II and III

(C). I and II only (D). Any two of the three

Correct Answer

D

Explanation

If 'A' is 100% more efficient than 'B', it takes half time than B. From (III), B takes 32 hours to complete the full tank so A will take 16 hours. Time taken when they worked together is

(Marks: 3.0, Negative Marks : 0.0).

4. Ramu had some currency notes of denominations Rs. 50, Rs. 20 and Rs. 10, such that at least two notes of each denominations were present with him. He had to pay a bill of Rs. 200 in a shop and when he counted all the money he had, he realized that he was short of Rs. 30. How many notes of Rs.20 and total number of notes did Ramu have ?

(A). 7 (B). 6

(C). 2 (D). 3

Correct Answer

A , C

Explanation

Let x notes of Rs 50 & y notes of Rs 20 & z notes of Rs 10 Atleast 2 of each will make a sum Of minimum Rs - 160 But the required sum should be 170

Hence, he can have one more 10 rupee note.

Total 7 notes & 2 twenty notes.

(Marks: 3.0, Negative Marks : 0.0).

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5. A quadratic equation whose difference of roots is 3 and the sum of the squares of the roots is 29 is given by :

(A). (B).

(C). (D).

Correct Answer

B , D

Explanation

( Product of roots)

(Marks: 3.0, Negative Marks : 0.0).

6. Of all the m games that the Indian Cricket Team played, it has not won p games and not lost q games. What are the no. of draws and what fraction of the games that it played has it drawn ?

(A). (B).

(C). (D).

Correct Answer

B , C

Explanation

Not won p games out of m games means no. of won games = m - p Not lost q games out of m games means no. of lost games = m - q

No. of games drawn

Fraction of draws (Marks: 3.0, Negative Marks : 0.0).

7. An alloy A contains two elements, copper and tin in the ratio 2 : 3, whereas alloy B contains the same elements in the ratio 3 : 4. If 20 kg of alloy A is mixed with 28 kg of alloy B and some pure copper to form a third alloy C, containing copper and tin in the ratio 6 : 7, then the quantity of pure copper mixed with the alloys is :

(A). 4 kg (B). 5 kg

(C). 3 kg (D). 7 kg

Correct Answer

A

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Vidyamandir Classes Admission test for AimiiT 2015

Explanation

(Marks: 3.0, Negative Marks : 0.0).

8. Chakradhar and Dhruva have two spools of 'manja' (specially prepared thread) to fly their kites. Each of the manjas has tiny knots at regular intervals, which helps in keeping track of the length of the manja that is used. Each of the persons has the same length of manja. While Chakradhar's manja has knots at intervals of 10 feet, Dhruva's has knots at intervals of 12 feet and it has 10 knots less than that of Chakradhar. Each of the manjas has knots at only one of the extreme ends. Then the length of the manja with either of them (in feet) is :

(A). 610 (B). 590

(C). 600 (D). 1190

Correct Answer

C

Explanation

Let x be the number of knots in Chakradhar's Spool

(Marks: 3.0, Negative Marks : 0.0).

9. If is a factor of , then ?

(A). 4 (B). 0

(C). -4 (D). 6

Correct Answer

A

The number of notes in Dhruva's spool =

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Explanation

is a factor of P(a)

But

(a - 3) is a factor of P(a) 3p + q = -12 . . . . . . (i)

(a + 1) is is also factor P(a) -p + q = 20 . . . . . .(ii)

Solving (i) and (ii), we get :

p = -8 and q = 12

. (Marks: 3.0, Negative Marks : 0.0).

10. Ram owns a garden. In the garden, the number of mango trees is equal to number of mangoes per tree and the cost price per mango is the same as the number of mango trees in the garden. The maintenance cost is Rs. 935 per tree. If Ram sells one mango at Rs. 61, the overall loss in the business is Rs. 875. The number of mangoes in the garden, if no mangoes were wasted and the number of trees was more than 30 were :

(A). 625 (B). 1225

(C). 900 (D). None of these

Correct Answer

B

Explanation

Let there be x number of mango trees in the garden

Number of mangoes per tree = x and the cost price per mango is Rs. x

Total number of mangoes in the garden = x2 and total cost price = Rs. x3

Total maintenance cost = Rs. 935x

Total selling price Rs. 61x2

and loss in the business = Rs. 875

We get

As x > 30

x = 35.

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Total numbers of mangos are

=

(Marks: 3.0, Negative Marks : 0.0).

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Vidyamandir Classes Admission test for AimiiT 2015