1.
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?
A. 2/17 B.
3/14 C. 4/13 D. 5/18
2.
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:
A. 15000 B.
17000 C. 13000 D. 19000
3.
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:
A. 25 B.
30 C. 15 D. 20
4.
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:
A. 8 B.
7 C. 6 D. 4
5.
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?
A. 50 B.
48 C. 46 D. 42
1. Option A
ReplyDeleteRequired probability
= [13𝐶2 + 13𝐶2] / 52𝐶2
= (78+78)/1326
= 156/1326
= 2/17
2. Simple interest for 1 year = 5100/3 = 𝑅𝑠. 1700
ReplyDelete1% of sum = 17000
sum = 1700×100/1
= 𝑅𝑠.17000
3. Option B
ReplyDeleteLet 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
4. Option C
ReplyDeleteLet x be the required distance.
x/3 – x/4 = (15+15)/60
x = 6 km
5. Option D
ReplyDeleteIn one hour 1/6 – 1/7 = 1/42 of the cistern is empty
The whole cistern will be emptied in 42 hrs.