37
Q:

# A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

 A) 29/5 B) 37/4 C) 42 D) 54

Explanation:

After 10 days : 150 men had food for 35 days.

Suppose 125 men had food for x days.

Now, Less men, More days (Indirect Proportion)

125 : 150 :: 35 : x    =>    125 x x = 150 x 35

=>

=> x = 42.

Q:

X and Y together can finish a piece of work in 15 days, while Y alone can finish it in 40 days. X alone can finish the work in:

 A) 24 days B) 26 days C) 25 days D) 23 days

Explanation:

0 20
Q:

Three of the following four word-pairs are alike in a certain way and one is different. Pick the odd one out.

 A) Chisel : Sculptor B) Anvil : Blacksmith C) Paper : Book D) Scalpel : Surgeon

Explanation:

0 55
Q:

A certain sum is divided among A, B, C and D such that the ratio of the shares is A : B : C : D = 4 : 12 : 30 : 45. If the difference between the shares of A and D is ₹5,535, then the total sum (in ₹) is:

 A) 12785 B) 13550 C) 12285 D) 11000

Explanation:

0 49
Q:

Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the equation.
512*32*9*100*6*25*2

 A) ÷, ×, +, =, −, × B) ÷, ×, +, −, =, × C) ÷, ×, −, +, =, × D) +, ×, ÷, =, −, ×

Explanation:

0 42
Q:

Select the option in which the numbers are related in the same way as are the numbers of the following set.

173 : 125 : 85

 A) 365 : 293 : 229 B) 285 : 221 : 135 C) 259 : 199 : 147 D) 293 : 228 : 171

Explanation:

0 180
Q:

If sqrt x + frac{1}{sqrt x} = 2sqrt2, then x^2 + frac{1}{x^2} is equal to:

 A) 36 B) 34 C) 32 D) 64

Explanation:

2 255
Q:

If a + b + c = 8 and ab + bc + ca = 20, then a^3 + b^3 + c^3 - 3abc is equal to:

 A) 30 B) 24 C) 32 D) 36

Explanation:

1 1707
Q:

The usual average speed of a car on a particular stretch of road is 75 km/hr. On a particular day, the average speed was 12% less than the usual, as a result of which the time taken was I S minutes more.

How long is the stretch of road, in kilometres?

 A) 155 B) 176 C) 165 D) 150