1000+ MAT Aptitude Test Questions and Answers Pdf - 1

Question: 1

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is

(A) 4

(B) 5

(D) 10

View Answer

Ans: B

Let the number be x.

Then, 3x² - 4x = x + 50

⇔ 3x² - 5x - 50 = 0

⇔ (3x + 10) (x - 5) = 0

⇔ x = 5.

Question: 2

Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The larger number is

(A) 48

(B) 56

(D) 72

View Answer

Ans: B

Let the number be 4x and 7x.

Then, $${4x + 4}/{7x + 4}$$ = $${3}/{5}$$

⇔ 5(4x + 4) = 3(7x + 4) ⇔ x = 8.

∴ Larger number = 7x = 56.

Question: 3

Two different natural numbers are such that their product is less than their sum. One of the numbers must be

(A) 1

(B) 2

(D) 4

View Answer

Ans: A

Since , x < 1 + x, so one of the number is 1.

Question: 4

If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their squares is

(A) 12

(B) 28

(D) 160

View Answer

Ans: D

Let the numbers be x and y.

Then, x + y = 20 and x – y = 8

∴ x² - y²

= (x + y) (x - y) = 20 × 8 = 160.

Question: 5

By how much is $${3}/{4}$$th of 568 lesser than $${7}/{8}$$th of 1008?

(A) 452

(B) 454

(D) 468

View Answer

Ans: C

$${7}/{8}$$ of 1008 – $${3}/{4}$$ of 568

= $$(1008 × {7}/{8})$$ - $$(568 × {3}/{4})$$

= 882 - 426 = 456.

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1000+ MAT Aptitude Test Questions and Answers Pdf - 1

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