Maths Mcqs Practice Test

Question 1

A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.

Accepted Answer

D. 1/126

Question 2

Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.

Accepted Answer

B. 5/12

Question 3

Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is__________?

Accepted Answer

B. 5/9

Question 4

Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.

Accepted Answer

B. 1/36

Question 5

A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is__________?

Accepted Answer

A. 25/42

Question 6

A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.

Accepted Answer

D. 7/15

Question 7

If six persons sit in a row, then the probability that three particular persons are always together is____________?

Accepted Answer

C. 1/5

Question 8

If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is__________?

Accepted Answer

D. 4/13

Question 9

If four coins are tossed, the probability of getting two heads and two tails is__________?

Accepted Answer

A. 3/8

Question 10

If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?

Accepted Answer

B. 1/2

Question 11

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is_____________?

Accepted Answer

D. 17/20

Question 12

If a number is chosen at random from the set {1, 2, 3, …., 100}, then the probability that the chosen number is a perfect cube is___________?

Accepted Answer

A. 1/25

Question 13

A coin is tossed live times. What is the probability that there is at the least one tail?

Accepted Answer

A. 31/32

Question 14

The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?

Accepted Answer

B. 17/25

Question 15

Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in_________?

Accepted Answer

C. 7 hours

Question 16

A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?

Accepted Answer

D. 7.2 hrs

Question 17

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

Accepted Answer

B. 3 hrs 45 min

Question 18

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

Accepted Answer

D. 30 min

Question 19

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

Accepted Answer

C. 144 min.

Question 20

A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full the leak will empty it in.

Accepted Answer

D. 40 hrs