IIT JEE Practice Question and Answer
8Q: The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ? 1229 15b5cc767e4d2b4197774fdfc
5b5cc767e4d2b4197774fdfc- 1Rs. 1100true
- 2Rs. 5500false
- 3Rs. 1400false
- 4Rs. 4120false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Rs. 1100"
Explanation :
Answer: A) Rs. 1100 Explanation: Let the sum be Rs.x. Then, x1+101002-x=1155 ⇒x11102-1=1155 => x =5500 sum = Rs. 5500. So, S.I = Rs. 5500×5×4100 = 1100
Q: Find the next number in the series 265, 269, 278, 284, ? 1099 05b5cc767e4d2b4197774fdf7
5b5cc767e4d2b4197774fdf7- 1309true
- 2319false
- 3298false
- 4415false
- Show AnswerHide Answer
- Workspace
- SingleChoice
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: Which number replaces the '?' in the given series 108, 127, 2413, 2430, 41310, ?, 619875 2176 05b5cc767e4d2b4197774fdf2
5b5cc767e4d2b4197774fdf2- 141975false
- 241325true
- 384375false
- 441365false
- Show AnswerHide Answer
- Workspace
- SingleChoice
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: 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? 5816 05b5cc764e4d2b4197774fde1
5b5cc764e4d2b4197774fde1- 148minfalse
- 272minfalse
- 324mintrue
- 4None of thesefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
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 5311 05b5cc764e4d2b4197774fdb2
5b5cc764e4d2b4197774fdb2- 1A3BCfalse
- 2ABC3false
- 3AB3Ctrue
- 4A2B3C4false
- Show AnswerHide Answer
- Workspace
- SingleChoice
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? 1396 05b5cc764e4d2b4197774fdad
5b5cc764e4d2b4197774fdad- 112 a.m.false
- 21 p.m.false
- 311 a.m.false
- 412 p.m.true
- Show AnswerHide Answer
- Workspace
- SingleChoice
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 ? 993 05b5cc764e4d2b4197774fda3
5b5cc764e4d2b4197774fda3- 148 kmphtrue
- 250 kmphfalse
- 346 kmphfalse
- 442 kmphfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
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: A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ? 1079 05b5cc764e4d2b4197774fd99
5b5cc764e4d2b4197774fd99- 1107 kmphfalse
- 2106 kmphtrue
- 372 kmphfalse
- 476 kmphfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "106 kmph"
Explanation :
Answer: B) 106 kmph Explanation: As we know that Speed = Distance / Timefor average speed = Total Distance / Total Time TakenThus, Total Distance = 325 + 470 = 795 kmThus, Total Speed = 7.5 hrsAverage Speed = 795/7.5 => 106 kmph.