1000+ Math Aptitude Test Questions and Answers - 1

Question: 1

If (72)² is subtracted from the square of a number, the answer so obtained is 5075. What is the number?

(A) 96

(B) 102

(D) 106

View Answer

Ans: B

Let the number be x.

Then, x² - (73)² = 5075 ⇔ x² - 5329 = 5075

⇔ x² = 5075 +5329 = 10404

⇔ x = $$√10404$$ = 102.

Question: 2

The sum and product of two numbers are 12 and 35 respectively, the sum of their reciprocals will be

(A) $${1}/{35}$$

(B) $${7}/{32}$$

(D) $${35}/{8}$$

View Answer

Ans: C

Let the numbers be x and y.

Then x + y = 12 and xy = 35

∴ $${1}/{x} + {1}/{y}$$ = $${x + y} /{xy}$$ = $${12}/{35}$$

Question: 3

Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is

(A) 12

(B) 18

(D) 36

View Answer

Ans: B

Let the numbers be 3x, 4x and 6x.

Then, 3x × 4x × 6x = 1944

⇔ 72x³ = 1944 ⇔ x³ = 27

∴ Largest number = 6x = 18.

Question: 4

Two numbers differ by 5. If their product is 336, then the sum of the two numbers is

(A) 27

(B) 37

(D) 51

View Answer

Ans: B

Let the number be x and y.

Then, x - y = 5 and xy = 336.

(x + y)² = (x - y)² + 4xy = 25 + 4 × 336 = 1369

⇒ x + y = $$√1369$$ = 37.

Question: 5

The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are

(A) 600, 400

(B) 628, 372

(D) 680, 360

View Answer

Ans: B

Let the numbers be x and y.

Then, x² - y² = 256000 and x + y = 1000.

On dividing, we get : x - y = 256.

Solving x + y = 1000 and x - y = 256,

We get : x = 628 and y = 372.

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