**Directions(1-5):** Find the missing term ‘?’ of the following number series.

- 6, 3, 3, 6, 24, ?
180175166192197Option D

*0.5,*1,*2,*4,*8

? = 192 - 3, 8, 18, 38, 78, ?
166178158190185Option C

+5,+10,+20,+40,+80

? = 158 - 5, 8, 12, 18, 27, ?
5460404867Option C

Double difference

? = 40 - 142, 133, 115, 88, ?
6267544852Option E

-9,-18,-27,-36

? = 52 - 2, 10, 30, 68, 130, ?
200195250214222Option E

Double difference

? = 222 - A pipe can fill a cistern in 6 hrs. Due to a leak in its bottom, it is filled in 7 hrs. When the cistern is full, in how much time will it be emptied by the leak?
5048554260Option D

In one hour 1/6 – 1/7 = 1/42 of the cistern is empty

The whole cistern will be emptied in 42 hrs. - Ram travels a certain distance at 3 km/h and reaches 15 minutes late. If he travels at 4 km/h, he reaches 15 minutes earlier. The distance he has to travel is:
85964Option D

Let x be the required distance.

x/3 – x/4 = (15+15)/60

x = 6 km - A father’s age is three times the sum of the ages of his two children, but 20 years hence his age will be equal to the sum of their ages. Then, the father’s age is:
2530152027Option B

Let the father’s age be x years and age of his children be a and b years

(𝑎 + 𝑏) = 𝑥/3

And

(𝑎 + 𝑏) + 20 + 20 = 𝑥 + 20

⇒ 𝑥/3 + 20 = 𝑥

⇒ 𝑥 = 30 years - A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate, it would have fetched Rs. 5100 more. The sum is:
1500014000130001700019000Option D

Simple interest for 1 year = 5100/3 = 𝑅𝑠. 1700

1% of sum = 17000

sum = 1700×100/1 = 𝑅𝑠.17000 - A card is drawn at random from a well-shuffled pack of 52 cards. What is the probability of getting a two of hearts or a two diamonds?
3/141/124/132/175/18Option D

Required probability = [13𝐶2 + 13𝐶2]/ 52𝐶2 = (78+78)/1326 = 156/1326 = 2/17