IIT JEE Practice Question and Answer
8Q: 1, 2, 8, 33, ? Find the next number in the given series? 1786 05b5cc6bae4d2b4197774d7e4
5b5cc6bae4d2b4197774d7e4- 1148true
- 2145false
- 3143false
- 4141false
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Answer : 1. "148"
Explanation :
Answer: A) 148 Explanation: 1 x 1 + 1 x 1 = (1 + 1) = 2 2 x 2 + 2 x 2 = (4 + 4) = 8 8 x 3 + 3 x 3 = (24 + 9) = 33 33 x 4 + 4 x 4 = (132 + 16) = 148 148 x 5 + 5 x 5 = (740 + 25) = 765.
Q: What can you hear but not touch or see? 1786 05b5cc69ee4d2b4197774c96a
5b5cc69ee4d2b4197774c96a- Show AnswerHide Answer
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Answer :
Explanation :
The sound is what can you hear but not touch or see.
Q: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ? 1785 05b5cc731e4d2b4197774f7fb
5b5cc731e4d2b4197774f7fb- 16false
- 28false
- 34true
- 49false
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Answer : 3. "4"
Explanation :
Answer: C) 4 Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4
Q: If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ? 1784 05b5cc74ae4d2b4197774fa81
5b5cc74ae4d2b4197774fa81- 151/1221false
- 242/221false
- 31/221true
- 452/1245false
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Answer : 3. "1/221"
Explanation :
Answer: C) 1/221 Explanation: Total Combination of getting a card from 52 cards = C152 Because there is no replacement, so number of cards after getting first card= 51 Now, Combination of getting an another card= C151 Total combination of getting 2 cards from 52 cards without replacement= (C152×C151) There are total 4 Ace in stack. Combination of getting 1 Ace is = C14 Because there is no replacement, So number of cards after getting first Ace = 3 Combination of getting an another Ace = C13 Total Combination of getting 2 Ace without replacement=C14×C13 Now,Probability of getting 2 cards which are Ace =C14×C13C152×C151 = 1/221.
Q: Which of the following has the highest entropy? 1783 05b5cc669e4d2b4197774bf31
5b5cc669e4d2b4197774bf31- 1Hydrogentrue
- 2Diamondfalse
- 3Liquid nitrogenfalse
- 4Mercuryfalse
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Answer : 1. "Hydrogen"
Explanation :
Answer: A) Hydrogen Explanation: Entropy is a measure of disorder . It will be maximum in gases followed by liquids and least in solids. Hence, here the gas is only hydrogen and it has the highest entropy.
Q: Which planet experiences the volcano with the name of "Arsia Mon" ? 1783 05b5cc6cfe4d2b4197774e2d2
5b5cc6cfe4d2b4197774e2d2- 1Earthfalse
- 2Marstrue
- 3Jupiterfalse
- 4Nonefalse
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Answer : 2. "Mars"
Explanation :
Answer: B) Mars Explanation: Arsia Mons is among the three volcanos of the planet Mars. Arsia Mons is a shield volcano with a slow slope. Arsia Mons is thirty times in volumes of Mauna Loa in Hawaii, the largest volcano on Earth.
Q: What is the time required to punch 1500 cards of 45 column each at the rate of 9,000 punches per hour ? 1783 05b5cc711e4d2b4197774f3e1
5b5cc711e4d2b4197774f3e1- 18 hrsfalse
- 27 hrs 15 minfalse
- 37 hrs 30 mintrue
- 48 hrs 20 minfalse
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Answer : 3. "7 hrs 30 min"
Explanation :
Answer: C) 7 hrs 30 min Explanation: Total number of cards = 1500total columns = 45so, total punches=1500 x 45 = 67500for 1 hour if we make 9000 punches, we require 67500/9000 = 7.5so 7hours:30mins.
Q: Pavan and Sravan are two persons. If Pavan works with his actual efficiency and Sravan twice of his actual efficiency then it takes 25 days to complete the work. But If Pavan works twice of his actual efficiency and Sravan with his normal efficiency then the work is completed in 20 days. How many days would it take if Sravan alone works with his actual efficiency (in Days)? 1783 05b5cc6c7e4d2b4197774ded2
5b5cc6c7e4d2b4197774ded2- 150false
- 2100true
- 370false
- 435false
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Answer : 2. "100"
Explanation :
Answer: B) 100 Explanation: Let the Efficiency of pavan be E(P) Let the Efficiency of sravan be E(S) Here Work W = LCM(25,20) = 100 Now, E(P+2S) = 100/25 = 4 ....(1) E(2P+S) = 100/20 = 5 ....(2) Hence, from (1) & (2) we get E(S) = 1 => Number of days Savan alone work to complete the work = 100/1 = 100 days.

