IIT JEE Practice Question and Answer
8Q: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement ? 3012 05b5cc6e7e4d2b4197774edb0
5b5cc6e7e4d2b4197774edb0- 11900true
- 22100false
- 31700false
- 42000false
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Answer : 1. "1900"
Explanation :
Answer: A) 1900 Explanation: Given 2000 ---- 54 days The provisions for 2000 men for 39 days can be completed by 'm' men for only 20 days. i.e, 2000 ----- 39 days == m ---- 20 days => m x 20 = 2000 x 39 m = 3900 So total men for 20 days is 3900 => 2000 old and 1900 new reinforcement. Hence, reinforcement = 1900.
Q: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 1169 05b5cc6e7e4d2b4197774edab
5b5cc6e7e4d2b4197774edab- 16true
- 27false
- 39false
- 411false
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Answer : 1. "6"
Explanation :
Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.
Q: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1877 05b5cc6e7e4d2b4197774eda6
5b5cc6e7e4d2b4197774eda6- 1360false
- 2180true
- 390false
- 4120false
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Answer : 2. "180"
Explanation :
Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ; 8 x 9 x 25 x 7 = 23 × 32 × 52 × 7 16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72 H.C.F = 22 × 32 × 5 = 180.
Q: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit ? 1808 05b5cc6e7e4d2b4197774ed9c
5b5cc6e7e4d2b4197774ed9c- 1Rs. 8840false
- 2Rs. 8800false
- 3Rs. 8810false
- 4Nonetrue
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Answer : 4. "None"
Explanation :
Answer: D) None Explanation: Amount = 80001+51002 = 8000 x 21/20 x 21/20 = Rs. 8820
Q: The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ? 1153 05b5cc6e7e4d2b4197774eda1
5b5cc6e7e4d2b4197774eda1- 115 mfalse
- 24 mfalse
- 36 mtrue
- 49 mfalse
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Answer : 3. "6 m"
Explanation :
Answer: C) 6 m Explanation: The edge of the new cube is = 33+43+53 = a3 => a = 6 m.
Q: A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ? 8524 05b5cc6e7e4d2b4197774ed97
5b5cc6e7e4d2b4197774ed97- 12 hrs 10 minfalse
- 22 hrstrue
- 32 hrs 5 minfalse
- 42 hrs 30 minfalse
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Answer : 2. "2 hrs"
Explanation :
Answer: B) 2 hrs Explanation: |-----------20--------------------|50 40 Difference = 20kms Relative Speed = 50 – 40 = 10 kmph Time = 20/10 = 2 hours.
Q: 96% of the population of a village is 23040. The total population of the village is ? 3253 05b5cc6e7e4d2b4197774ed92
5b5cc6e7e4d2b4197774ed92- 124000true
- 232256false
- 325478false
- 426587false
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Answer : 1. "24000"
Explanation :
Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.
Q: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ? 2321 05b5cc6e7e4d2b4197774ed83
5b5cc6e7e4d2b4197774ed83- 134true
- 236false
- 338false
- 440false
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Answer : 1. "34"
Explanation :
Answer: A) 34 Explanation: M + Tu + W + Th = 4 x 48 = 192Tu + W + Th + F = 4 x 46 = 184M = 42Tu + W + Th = 192 - 42 = 150F = 184 – 150 = 34