IIT JEE Practice Question and Answer
8Q: The compound interest on Rs. 8000 for 3 year at 10% p.a. is 1208 05b5cc6b9e4d2b4197774d6df
5b5cc6b9e4d2b4197774d6df- 12648true
- 22145false
- 32587false
- 42784false
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Answer : 1. "2648"
Explanation :
Answer: A) 2648 Explanation: 8000 × 33.1% = 2648
Q: In how many ways can the letters of the word 'LEADER' be arranged ? 1206 05b5cc71ee4d2b4197774f58b
5b5cc71ee4d2b4197774f58b- 1360true
- 2420false
- 3576false
- 4220false
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Answer : 1. "360"
Explanation :
Answer: A) 360 Explanation: No. of letters in the word = 6No. of 'E' repeated = 2Total No. of arrangement = 6!/2! = 360
Q: In a plane 8 points are colliner out of 12 points, then the number of triangles we get with those 12 points is 1206 05b5cc7b4e4d2b419777508ab
5b5cc7b4e4d2b419777508ab- 120false
- 2160false
- 3164true
- 4220false
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Answer : 3. "164"
Explanation :
Answer: C) 164 Explanation: For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear. If all these 8 points are different we get 8C3 triangles as they are collinear. In 12C3 triangles, we do not get 8C3 triangles Therefore, The number of triangles we get = 12C3-8C3 = 164
Q: In how many different ways could couples be picked from 6 men and 9 women ? 1203 05b5cc728e4d2b4197774f728
5b5cc728e4d2b4197774f728- 126false
- 254true
- 352false
- 428false
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Answer : 2. "54"
Explanation :
Answer: B) 54 Explanation: Number of mens = 8 Number of womens = 5 Different ways could couples be picked = C16× 9C1 = 9 x 6 = 54 ways.
Q: Name the body that has recently announced a plan to promote micro-enterprises in 115 aspirational districts across the country after tying up with Common Service Centre (CSC). 1203 05b5cc697e4d2b4197774c5e0
5b5cc697e4d2b4197774c5e0- 1SEBIfalse
- 2C). A) SEBI B)false
- 3. A) SEBI B) RBI C) SIDBItrue
- 4IRDAIfalse
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Answer : 3. ".
A) SEBI
B) RBI
C) SIDBI"
Explanation :
Answer: C) SIDBI Explanation: Small Industries and Development Bank of India (SIDBI) announced a plan to promote micro-enterprises in 115 aspirational districts across the country. It has tied up with Common Service Centre (CSC).
Q: A train is moving and crossing a man who is running on a platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ? 1200 05b5cc6c3e4d2b4197774dc27
5b5cc6c3e4d2b4197774dc27- 1202 mtsfalse
- 2188 mtsfalse
- 3165 mtstrue
- 4156 mtsfalse
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Answer : 3. "165 mts"
Explanation :
Answer: C) 165 mts Explanation: Let the length of the train = L mts Relative speed of train and man = 74 - 8 = 66 kmph = 66 x 5/18 m/s => 66 x 5/18 = L/9 => L = 165 mts.
Q: Find the Missing Numbers in the given Number Puzzle ? 1199 05b5cc6c9e4d2b4197774df74
5b5cc6c9e4d2b4197774df74- 1169 & 81true
- 267 & 121false
- 364 & 115false
- 470 & 110false
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Answer : 1. "169 & 81"
Explanation :
Answer: A) 169 & 81 Explanation: Observe that in each column, square of sum of digits in the first row = Respective second row elements. In the same way, square of sum of digits in the second row = Respective third row elements. => 6+42=102=100 => 4+92=132=169 => 8+12=92=81.
Q: A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ? 1198 05b5cc6c4e4d2b4197774dcc3
5b5cc6c4e4d2b4197774dcc3- 1250 mtsfalse
- 2400 mtstrue
- 3320 mtsfalse
- 4390 mtsfalse
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Answer : 2. "400 mts"
Explanation :
Answer: B) 400 mts Explanation: Let the length of the 1st train = L mts Speed of 1st train = 48 kmph Now the length of the 2nd train = L/2 mts Speed of 2nd train = 42 kmph Let the length of the bridge = D mts Distance = L + L/2 = 3L/2 Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite) Time = 12 sec => 3L/2x25 = 12 => L = 200 mts Now it covers the bridge in 45 sec => distance = D + 200 Time = 45 sec Speed = 48 x5/18 = 40/3 m/s => D + 200/(40/3) = 45 => D = 600 - 200 = 400 mts Hence, the length of the bridge = 400 mts.

