IIT JEE Practice Question and Answer
8Q: There is 50% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ? 1634 05b5cc767e4d2b4197774fe01
5b5cc767e4d2b4197774fe01- 1Rs. 5422false
- 2Rs. 5489false
- 3Rs. 3972true
- 4Rs. 6145false
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Answer : 3. "Rs. 3972"
Explanation :
Answer: C) Rs. 3972 Explanation: Let p = Rs. 100. Then, S.I is Rs. 50 and time = 5 years. ∴ R = 100×50100×5= 10% p.a. Now, p = Rs. 12,000 , T = 3 years and R = 10% p.a. C.I. = Rs. 12000×1+101003-1= Rs. 3972
Q: Which number replaces the '?' in the given series 108, 127, 2413, 2430, 41310, ?, 619875 2156 05b5cc767e4d2b4197774fdf2
5b5cc767e4d2b4197774fdf2- 141975false
- 241325true
- 384375false
- 441365false
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Answer : 2. "41325"
Explanation :
Answer: B) 41325 Explanation: The given series follows a pattern of +19, x19, +17, x17, +15, x15,... Here the number which is to be replaced in ? is 41310+15=41325.
Q: Find the next number in the series 265, 269, 278, 284, ? 1073 05b5cc767e4d2b4197774fdf7
5b5cc767e4d2b4197774fdf7- 1309true
- 2319false
- 3298false
- 4415false
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Answer : 1. "309"
Explanation :
Answer: A) 309 Explanation: The pattern in the given series is +4, +9, +16, +25, ... i.e. 22,32,42,52... The next number is 284+25 = 309.
Q: Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank? 5781 05b5cc764e4d2b4197774fde1
5b5cc764e4d2b4197774fde1- 148minfalse
- 272minfalse
- 324mintrue
- 4None of thesefalse
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Answer : 3. "24min"
Explanation :
Answer: C) 24min Explanation: Given taps X and Y can fill the tank in 30 and 40 minutes respectively. Therefore, part filled by tap X in 1 minute = 1/30 part filled by tap Y in 1 minute = 1/40 Tap Z can empty the tank in 60 minutes. Therefore, part emptied by tap Z in 1 minute = 1/60 Net part filled by Pipes X,Y,Z together in 1 minute = [1/30 +1/40 - 1/60] = 5/120 = 1/24 i.e., the tank can be filled in 24 minutes.
Q: What is to be replaced in place of '?' in the following series ? A2BC, ?, ABC4, A5BC 5265 05b5cc764e4d2b4197774fdb2
5b5cc764e4d2b4197774fdb2- 1A3BCfalse
- 2ABC3false
- 3AB3Ctrue
- 4A2B3C4false
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Answer : 3. "AB3C"
Explanation :
Answer: C) Option C Explanation: Because the letters are the same, concentrate on the number series, which is a simple 2, 3, 4, 5, 6 series, and follows each letter in order.
Q: Two stations A and B are 200 km apart on a straight track. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? 1365 05b5cc764e4d2b4197774fdad
5b5cc764e4d2b4197774fdad- 112 a.m.false
- 21 p.m.false
- 311 a.m.false
- 412 p.m.true
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Answer : 4. "12 p.m."
Explanation :
Answer: D) 12 p.m. Explanation: Assume both trains meet after 'p' hours after 7 a.m.Distance covered by train starting from A in 'p' hours = 20p kmDistance covered by train starting from B in (p-1) hours = 25(p-1)Total distance = 200=> 20x + 25(x-1) = 200=> 45x = 225=> p= 5Means, they meet after 5 hours after 7 am, ie, they meet at 12 p.m.
Q: A Bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the Bus is ? 966 05b5cc764e4d2b4197774fda3
5b5cc764e4d2b4197774fda3- 148 kmphtrue
- 250 kmphfalse
- 346 kmphfalse
- 442 kmphfalse
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Answer : 1. "48 kmph"
Explanation :
Answer: A) 48 kmph Explanation: we know that speed = distance traveled/time takenlet the total distance traveled by the car is 2x km.then time taken by it to cover first half is x/60 hour.and for second half is x/40 hour.Then average speed= total distance travelled / total time taken. i.e. 2xx60+x40 => 2x5x120 = 48 kmph.
Q: Statement: Air export volumes have increased substantially over the past decade causing backlogs and difficulties for air cargo agents because of increased demand for space and service.Courses of action:a. Airlines and air cargo agents should jointly work out a solution to combat the problem.b. The reasons for the increase in the volume of air exports should be found out. 1407 05b5cc764e4d2b4197774fd94
5b5cc764e4d2b4197774fd94- 1Only a followstrue
- 2Both a and b followsfalse
- 3Only b followsfalse
- 4Neither a nor b followsfalse
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Answer : 1. "Only a follows"
Explanation :
Answer: A) Only a follows Explanation: The problem faced, by the airlines and cargo agents is the non availability of cargo space. Therefore, right course of action is to combat the problem.