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Q:

The product of three consecutive even numbers when divided by 8 is 720. The product of their square roots is :

A) 12 sqrt(10)	B) 24 sqrt(10)
C) 120	D) none of these

Answer & Explanation Answer: B) 24 sqrt(10)

Explanation:

Let the numbers be x, x + 2 and X + 4.

Then, x(x + 2)(x +4) / 8 = 720 => x(x + 2)(x +4) = 5760.

√x * √(x + 2) * √(x +4) = √x(x +2)(x + 4 ) = √5760 = 24√10.

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Filed Under: Problems on Numbers

Q:

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

A) 100	B) 200
C) 300	D) 400

Answer & Explanation Answer: D) 400

Explanation:

Let the numbers be x and y.

Then, xy = 9375 and x/y = 15.

$(\frac{x y}{\frac{x}{y}}) = 9375 / 15$

=> $y^{2} = 625$

=> y = 25

=> x = 15y = 15 x 25 = 375.

Sum of the numbers = 375 + 25 = 400.

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Filed Under: Problems on Numbers

Q:

54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :

A) 24	B) 34
C) 44	D) 54

Answer & Explanation Answer: B) 34

Explanation:

Let the two parts be (54 - x) and x.

Then, 10 (54 - x) + 22x = 780

=> 12x = 240

=> x = 20.

Bigger part = (54 - x) = 34.

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Filed Under: Problems on Numbers

Q:

Three numbers are in the ratio 4 : 5 : 6 and their average is 25. The largest number is :

A) 30	B) 40
C) 50	D) 60

Answer & Explanation Answer: A) 30

Explanation:

Let the numbers be 4x, 5x and 6x, Then, (4x + 5x + 6x ) / 3 = 25

=> 5x = 25

=> x = 5.

Largest number 6x = 30.

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Filed Under: Problems on Numbers

Q:

How many pairs of letters in the word 'CHAIRS' have as many letters between them in the word as in the alphabet?

A) 2	B) 3
C) 1	D) 4

Answer & Explanation Answer: A) 2

Explanation:

Letters in the word Letters in the alphabet

$C H A - -$ $C B A - -$

$R S - -$ $R S - -$

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Filed Under: Alphabet Test

Q:

How many independent words can 'HEARTLESS' be divided into without changing the order of the letters and using each letter only once ?

A) 5	B) 4
C) 2	D) 3

Answer & Explanation Answer: D) 3

Explanation:

The words are HE, ART and LESS.

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Filed Under: Alphabet Test

Q:

Two letters in the word 'LEMON' have as many letters between them in the word as in the alphabet Which one of the two letters comes earlier in the alphabet ?

A) L	B) N
C) E	D) M

Answer & Explanation Answer: A) L

Explanation:

Letters in the word Letters in the alphabet

LEMO LMNO

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Filed Under: Alphabet Test

Q:

Which letter in the word SELFRIGHTEOUSNESS' does not change its position when the letters are reversed ?

A) G	B) T
C) E	D) H

Answer & Explanation Answer: B) T

Explanation:

Clearly, when the letters of a Word are written in reverse order, the position of the middle letter remains unchanged.

Thus, in the word SELFRIGHTEOUSNESS, the middle letter it T does not change its position when the letters are reversed.

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Filed Under: Alphabet Test

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