IIT JEE Practice Question and Answer
8Q: A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount? 980 05b5cc6b0e4d2b4197774d2d0
5b5cc6b0e4d2b4197774d2d0- 11564false
- 21600true
- 31632false
- 41714false
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Answer : 2. "1600"
Explanation :
Answer: B) 1600 Explanation: Let O's share = Rs. P => N's share = 75100 x P = 3P4 M's share = 54 x 3P4 = 15P16 15P16 + 3P4 + P = 4300=> P = 4300 x 1643 = 1600
Q: Two letters are randomly chosen from the word TIME. Find the probability that the letters are T and M? 979 05b5cc6ade4d2b4197774d10e
5b5cc6ade4d2b4197774d10e- 11/4false
- 21/6true
- 31/8false
- 44false
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Answer : 2. "1/6"
Explanation :
Answer: B) 1/6 Explanation: Required probability is given by P(E) = n(E)n(S) = 14C2 = 16
Q: A salesman calculated his profit on the marked price and finds it to be 30%. He forgets the fact that he gave a discount of 20%. What is his actual profit percentage? 979 05b5cc6bae4d2b4197774d7ad
5b5cc6bae4d2b4197774d7ad- 1260/11%false
- 218.4%false
- 322.5%false
- 4100/7%true
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Answer : 4. "100/7%"
Explanation :
Answer: D) 100/7% Explanation: When profit is calculated on Marked Price (M.P) then, C.P = M.P - P% Let M.P = 100 => C.P = 100 - 30 = 70 But S.P = Rs. 80 as he gave 20% discount, Now, Actual Profit = 80-7070x100 = 100/7 %
Q: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? 978 05b5cc71ee4d2b4197774f5c7
5b5cc71ee4d2b4197774f5c7- 1[1, 32]false
- 2(0, 1)false
- 3[1, 1/2]true
- 4(1, 1/2]false
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Answer : 3. "[1, 1/2]"
Explanation :
Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32= P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].
Q: Can you find the next number in the sequence "0, 1, 4, 7, 8, 5, 2, 3, 6, 9, 9, 6, 3, 2, 5, 8, 7, 4, 1, 0, 0, …" ? 977 05b5cc6fbe4d2b4197774f0a9
5b5cc6fbe4d2b4197774f0a9- 10false
- 21true
- 34false
- 47false
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Answer : 2. "1"
Explanation :
Answer: B) 1 Explanation: The pattern follows the palindrome sequence. Here the digits 0 1 4 7 8 5 8 3 6 9 9 6 3 8 5 8 7 4 1 0 0 1 4 7 ... So the next digit in the sequence is 1.
Q: Grey Revolution is associated with 977 05b5cc6b4e4d2b4197774d4c0
5b5cc6b4e4d2b4197774d4c0- 1Cottonfalse
- 2Fruitsfalse
- 3Fertilizerstrue
- 4Oil seedsfalse
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Answer : 3. "Fertilizers"
Explanation :
Answer: C) Fertilizers Explanation: Grey Revolution is associated with Fertilizers. Cotton - Silver fiber Revolution Fruits - Golden Revolution Oil seeds - Yellow Revolution
Q: What is the most commonly spoken language in the world? 977 05b5cc69ae4d2b4197774c773
5b5cc69ae4d2b4197774c773- 1Mandarin Chinesetrue
- 2Englishfalse
- 3Spanishfalse
- 4Hindifalse
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Answer : 1. "Mandarin Chinese"
Explanation :
Answer: A) Mandarin Chinese Explanation:
Q: What do lines of latitude measure? 976 05b5cc6a1e4d2b4197774cb03
5b5cc6a1e4d2b4197774cb03- 1east-west position between the polesfalse
- 2north-south position between the polestrue
- 3north-east position between the polesfalse
- 4south-west position between the polesfalse
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Answer : 2. "north-south position between the poles"
Explanation :
Answer: B) north-south position between the poles Explanation: Lines of latitude measure north-south position between the poles. Lines of latitude are imaginary reference lines that describe how far north or south a location on the Earth is from the Equator. The equator is defined as 0 degrees, the North Pole is 90 degrees north, and the South Pole is 90 degrees south. Lines of latitude are all parallel to each other, thus they are often referred to as parallels.