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Q:

# A fraction becomes 2/3 when 1 is added to both, its numerator and denominator .And , it becomes 1/2 when 1 is subtracted from both the numerator and denominator. What is the fraction?

Answer:
Q:

On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is  ?

 A) 476190476 B) 48617 C) 47619 D) 4587962

Answer & Explanation Answer: C) 47619

Explanation:

By hit and trail, we find that

47619 x 7 = 333333.

7) 333333 (47619
333333
----------------
0

And 476190476 x 7 = 3333333333 but smallest number is 47619.

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1 11
Q:

Find the number which multiplied by 15 is increased by 56  ?

 A) 6 B) 4 C) 3 D) 12

Answer & Explanation Answer: B) 4

Explanation:

Let the number be x. Then,

15x - x = 56

x = 4

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1 9
Q:

96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ?

 A) 42 B) 54 C) 46 D) 58

Answer & Explanation Answer: A) 42

Explanation:

Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.

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1 10
Q:

The least number of four digits which is divisible by 4, 6, 8 and 10 is ?

 A) 1107 B) 1080 C) 1100 D) 1208

Answer & Explanation Answer: B) 1080

Explanation:

LCM of 4, 6, 8 and 10 = 120
120) 1000 (8
960
------
40

The least number of four digits which is divisible by 4, 6, 8 and 10 => 1000 + 120 - 40 = 1080.

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1 25
Q:

Find the least number with which 16200 should be multiplied, to make it a perfect cube ?

 A) 45 B) 48 C) 360 D) 36

Answer & Explanation Answer: A) 45

Explanation:

16200 = $\inline \fn_jvn \small 2^{3}x3^{4}x5^{2}$

A perfect cube has a property of having the indices of all its prime factors divisible by 3.

Required number = $\inline \fn_jvn \small 3^{2}x5$ = 9x5 = 45.

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