IIT JEE Practice Question and Answer
8Q: There are five bags. In the first bag we put some fruits. Each bag the number of fruits is reduced by 1/4. The last bag contains 4. Then the number of fruits in the first bag is ? 892 05b5cc715e4d2b4197774f477
5b5cc715e4d2b4197774f477- 12596false
- 21024true
- 3256false
- 464false
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Answer : 2. "1024"
Explanation :
Answer: B) 1024 Explanation: Fruits reduced by 1/4.Total no. of bags N = 5Formula to find no. of fruits in 1st bag = 4^nLast Bag = 4 fruits.That means, 4th bag = 4 x 4 = 16 fruits3rd bag = 16 x 4 = 64 fruits2nd bag = 64 x 4 = 256 fruits1st bag = 256 x 4= 1024 fruits.
Q: If 'A $ B' means 'A is brother of B', 'A @ B' means 'A is wife of B', 'A #B' means ' A is daughter of B' and 'A * B' means 'A is father of B', then which of the following expressions indicates the relationship 'U is father-in-law of P ? 1572 05b5cc715e4d2b4197774f468
5b5cc715e4d2b4197774f468- 1P@Q$T#U*Wtrue
- 2P@Q$T#W*Ufalse
- 3P@W$Q*T#Ufalse
- 4P@Q$W*T#Ufalse
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Answer : 1. "P@Q$T#U*W"
Explanation :
Answer: A) P@Q$T#U*W Explanation: Here the P is the wife of Q who is brother of T who is daughter of U. That implies P is wife of U's son Q => U is father-in-law of P.
Q: Six friends A, B, C, D, E and F joined an institute in the year 1993 but on different days. Only E has joined after C and D. C joined immediately before A and immediately after B. F is not the first or the last person to join. D will not be in any corner.Who is the first person joining the Institute? 1496 05b5cc715e4d2b4197774f46d
5b5cc715e4d2b4197774f46d- 1Efalse
- 2Dfalse
- 3Afalse
- 4Btrue
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Answer : 4. "B"
Explanation :
Answer: D) B Explanation: The only possible way is BCAFDEAs D & F is not in any corner and E is after C and D. C is after B and before ASo the first person to join the institute is B
Q: Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ? 3536 05b5cc715e4d2b4197774f463
5b5cc715e4d2b4197774f463- 17 : 12false
- 28 : 13true
- 39 : 4false
- 42 : 5false
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Answer : 2. "8 : 13"
Explanation :
Answer: B) 8 : 13 Explanation: To get the solution that contains 1 part of milk and two parts of water,they must be mixed in the ratio as7x+6x/5y+11y = 1/226x = 16yx/y = 16/26x/y = 8/13
Q: A man pointing to a lady says, "Her brother is the father of my only son's sister." How is that lady related to the man ? 2326 05b5cc715e4d2b4197774f45e
5b5cc715e4d2b4197774f45e- 1sister of father-in-lawfalse
- 2daughter-in-lawfalse
- 3Sistertrue
- 4daughterfalse
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Answer : 3. "Sister"
Explanation :
Answer: C) Sister Explanation:
Q: Find the correct sentence from the following options ? 1573 05b5cc715e4d2b4197774f459
5b5cc715e4d2b4197774f459- 1The dacoits having stopped to divide the booty, the police had overtaken themfalse
- 2The dacoits being stopped to divide the booty, the police overtook them.false
- 3The dacoits having been stopped for dividing the booty, the police overtook themfalse
- 4The dacoits having stopped for dividing the booty, the police overtook themtrue
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Answer : 4. "The dacoits having stopped for dividing the booty, the police overtook them"
Explanation :
Answer: D) The dacoits having stopped for dividing the booty, the police overtook them Explanation: As it is the past continuous sentence.
Q: Ali and Faizer are 27m apart. They both start walking and meet 9 hrs later, if they travel in the same direction and meet after 3 hrs if they walk in opposite dirction, Ali’s speed must most likely be ? 1449 05b5cc715e4d2b4197774f44f
5b5cc715e4d2b4197774f44f- 19 m/hfalse
- 23 m/hfalse
- 36 m/htrue
- 412 m/hfalse
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Answer : 3. "6 m/h"
Explanation :
Answer: C) 6 m/h Explanation: let, speed of Ali=X mph and Faizer=Y mph Now, relative speed when Ali is walking int the same direction with Faizer= (X-Y)mphhence, according to question, 27/(X-Y)=9 ; solving X-Y=3; --- (1) Now relative speed when walking in the opposite direction= (X+Y) mphhence, according to question, 27/(X+y)=3; solving X+Y=9; --- (2) solving 1 and 2 we get X=6 and Y=3, where X is the speed of Ali.
Q: A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 2082 05b5cc715e4d2b4197774f445
5b5cc715e4d2b4197774f445- 115:07 hrstrue
- 215:20 hrsfalse
- 315:05 hrsfalse
- 415:00 hrsfalse
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Answer : 1. "15:07 hrs"
Explanation :
Answer: A) 15:07 hrs Explanation: Next train comes at 17:00 hrs.So, last train will be = 17:00hrs - 2:30hrs= 14:30hrsAnnouncement made after 37 min of the last train.S0, 14:30hrs + 00:37 min= 15:07 hrs.