SNAP Mock Test by SIBM Pune

We know that when there are two dice thrown, there are 36 possible outcomes.

(1,1), (1,2)......(1,6)

(2,1), (2,2),.....(2,6)

..

(6,1), (6,2), .....(6,6)

We need to get a sum of 9

(3,6),(4,5),(5,4),(6,3)

Thus, there are four possibilities.

Therefore, the probability of getting a sum of 9 = 4/36 = 1/9

Option B is the correct answer.

A man covers a distance of 120 km at 40 km/h and returns at 60 km/h. What is his average speed?

A man covers a distance of 120 km at 40 km/h

Time taken = 120/40 = 3 hours

A man covers a distance of 120 km on the return journey at 60 km/h.

Time taken = 120/60 = 2 hours.

Average speed = Total distance travelled / Total time taken 

Average speed = 240/5 = 48 km/hr

The sum of three numbers in AP is 27.

Let us assume the numbers are a-d, a , a+d

Where d is the common difference.

Sum a-d+a+a+d = 27

3a = 27

a = 9

If 1 is added to the first number, 2 to the second, and 3 to the third, the new numbers are in GP.

So, the new numbers are 

9-d+1, 9+2, 9+d+2

10-d , 11, 11+d

Checking options:

A) 6, 9, 12 when we add numbers it becomes 7, 11, 15 (Not in GP)

B) 5, 9, 13 when we add numbers it becomes 6, 11, 16 (Not in GP)

C) 10, 9, 8 when we add numbers it becomes 11, 11, 11 (In GP)

D) 4, 9, 14 when we add numbers it becomes 5, 11, 17 (Not in GP)

Hence, answer is option C.

We know that the product of two numbers = the product of HCF and LCM

The HCF of two numbers is 15, and the LCM is 360.

If one number is 45

Assuming the other number to be N

Therefore, 15*360 = 45*N

Thus, N = 120

An electric pump can fill a cistern in 6 hours.

Assuming the capacity of the cistern to be 90 litres.

Thus, the electric pump can fill the cistern 90 litres in 6 hours or 15 litres in one hour.

Because of a leak in the cistern, it was taking 9 hrs to fill the cistern.

Therefore, the total volume filled in 1 hour = 90/9 = 10 litres per hour.

We know the pump can fill 15 litres in one hour; therefore, because of the leak, 5 litres of water are removed every hour.

If the tank is filled, it contains 90 litres.

The time taken by the leak to empty = 90/5 = 18 hours.

495 is not divisible by 7, so we can eliminate it.

455 and 490 are not divisible by 3, since a number is divisible by 3 only if the sum of its digits is divisible by 3.

Hence, 420 is the correct answer.