118
Q:

# Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?

 A) 20 years B) 22 years C) 25 years D) 27 years

Explanation:

Let Varun's age today = x years.

Then, Varun's age after 1 year = (x + 1) years.

Therefore x + 1 = 2 (x - 12) $\inline \Rightarrow$ x + 1 = 2x - 24 $\inline \Rightarrow$ x = 25.

Q:

Find the least number by which 175760 be divided to make it a perfect cube.

 A) 6 B) 10 C) 9 D) 30

Explanation:

175760 =2³ x 2 x 5 x 13³
= 2³ x 2 x 5 x 13³

To make perfect cube, it must be divided by 2 x 5 = 10

2 81
Q:

The sum of three consecutive multiples of 3 is 72. What is the second largest number ?

 A) 27 B) 24 C) 21 D) 42

Explanation:

Let the numbers be 3x, 3x + 3 and 3x + 6.
Then,
3x + (3x + 3) + (3x + 6) = 72
9x = 63
x = 7
Largest number = 3x + 6 = 27.

=> Second largest number = 27 - 3 = 24

1 111
Q:

When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ?

 A) 188 million B) 166 2/3 million C) 192 3/4 million D) None

Explanation:

5% - 2% = 3%
=> 3% ------ 5 million bags
100% ---- ?
=> 166 2/3 million bags.

2 144
Q:

If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true  ?

 A) x > y < z B) x < y < z C) x > y > z D) z < x < y

Explanation:

x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3)

As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5)

As (√10 + 3) > (√8 + √7) > (√6 + √5)

z < x < y.

1 122
Q:

Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?

 A) 12 & 7 B) 13 & 8 C) 15 & 10 D) 14 & 9