NTSE Mathematics Modern Mathematics MCQs

Question: A coin is tossed thrice. The probability of obtaining a head and a tail alternately is

• a) 1/14
• b) 1/8
• c) 3/7
• d) None of these

Answer: 1/14

Question: A card is drawn from a well shuffled pack of cards. The chance that it will be a red ace is

• a) 1/26
• b) 1/4
• c) 3/52
• d) None of these

Answer: 1/26

Question: All aces are removed from a pack of cards and now a card is dawn from it. What is the chance that will be a picture card.

• a) 16/48
• b) 16/52
• c) 1/16
• d) None of these

Answer: None of these

Question: An urn contains 4 red, 5 white and 1 black ball. A ball is drawn at random. What is the change that it will be either red or black.

• a) 1/4
• b) 1/5
• c) 1/2
• d) None of these

Answer: 1/2

Question: Two dice are rolled simultaneously. What is the chance that on odd prime number will turn up on both

• a) 1/3
• b) 1/2
• c) 1/6
• d) None of these

Answer: None of these

Question: Three dice are rolled simultaneously. What is the chance that all three will show a 4.

• a) 1/216
• b) 27/216
• c) 64/216
• d) None of these

Answer: 1/216

Question: Bag A has 2 red and 3 white balls. Bag B has 3 red and 2 white balls. Balls in the two bags are mixed and then a ball is drawn. What is the chance that it is not a red ball.

• a) 1/3
• b) 2/3
• c) 1/4
• d) None of these

Answer: None of these

Question: In a consignment 2% item are defective. An item is chosen at random from consignment of 400 items. The chance of it being defective is :

• a) 0.02
• b) 0.2
• c) 1/8
• d) None of these

Answer: 0.02

Question: 5 coins are tossed simultaneously. The chance that all will show head is :

• a) 1/64
• b) 1/32
• c) 1/2
• d) None of these

Answer: 1/32

Question: The chance that I will catch the bus on any day is 19/20. The chance that I will miss my bus on two successive days is :

• a) 1/200
• b) 1/20
• c) 1/400
• d) None of these

Answer: 1/400

More Questions................

Question: A bag contains three green marbles, four blue marbles, and two orange marbles. If a marble is picked at random, the probability that it is not a orange marble is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A box contains 9 red, 7 white & 4 black balls. A ball is drawn at random. What is probability that the ball drawn will be red.

• a) 9/3
• b) 9/20
• c) 9/10
• d) None of these

Answer: 9/20

Question: A coin is tossed successively three. Determine the probability of getting two heads.

• a) 3/8
• b) 1/8
• c) 2/6
• d) 5/8

Answer: 3/8

Question: A number is selected from numbers 1 to 27. The probability that it is prime is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If P(E) = 0.05, then P(not E) =

• a) -0.05
• b) 0.5
• c) 0.9
• d) 0.95

Answer: 0.95

Question: A letter is chosen at random from the letters of the vowels ‘ASSASSINATION’. Find the probability that the letter chosen is a vowel.

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: JKLM is square with sides of length s 6 units. Points A and B are the midpoints of the sides KL and LM respectively. If a point is selected at random from the interior of the square. What is the probability that the point is chosen from the interior of JAB ?

• a)

  

• b)

  

• c)

   

• d)

  

Answer:

Question: The probability of questing the correct answer to a certain test questions   is . The probability of not guessing the correct answer to this equations is _, then x =

• a) 2
• b) 3
• c) 4
• d) 6

Answer: 4

Question: A jar contains 54 marbles each of which is blue, green or white. The probability of selecting a blue marble at random from the jar is 4/9, and the probability of selecting a green marble at random is 1/3. How many white marbles does the jar contains ?

• a) 10
• b) 12
• c) 14
• d) 16

Answer: 12

Question: N = {12, 18, 2, 6} P = {1, 4, 2, 3}. If N and P are to be sleeted at random from sets N and P respectively what is the probability that N/2P will be a member of set P ?

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: Two square flowerbeds are placed symmetrically is rectangular garden as shown in the diagram. The distance between the beds is y and so is the width of the order around the beds on all sides. A seed blow into the garden by the wind is equally likely to land anywhere in the garden. When is the probability that is actually lands in a flowerbed ?

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: Three dice are rolled simultaneously. What is the chance that all three will show a 4.

• a) 1/216
• b) 27/216
• c) 64/216
• d) None of these

Answer: 1/216

Question: Bag A has 2 red and 3 white balls. Bag B has 3 red and 2 white balls. Balls in the two bags are mixed and then a ball is drawn. What is the chance that it is not a red ball.

• a) 1/3
• b) 2/3
• c) 1/4
• d) None of these

Answer: None of these

Question: In a consignment 2% item are defective. An item is chosen at random from consignment of 400 items. The chance of it being defective is :

• a) 0.02
• b) 0.2
• c) 1/8
• d) None of these

Answer: 0.02

Question: A card is drawn from a well shuffled pack of cards. The chance that it will be a red ace is

• a) 1/26
• b) 1/4
• c) 3/52
• d) None of these

Answer: 1/26