IIT JEE Practice Question and Answer
8Q: One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ? 1375 05b5cc6c3e4d2b4197774dc8b
5b5cc6c3e4d2b4197774dc8b- 1550false
- 2575false
- 3625false
- 4700true
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Answer : 4. "700"
Explanation :
Answer: D) 700 Explanation: Let number of boys = B Number of girls = G From the given data, 1B/3 + 1G/2 = 300 But given B/3 = 100 => B = 300 G/2 = 300 - 100 G = 200 x 2 => G = 400 Therefore, total number of students in the college = B + G = 700.
Q: Manju borrows Rs.5000 for 2 years at 4% p.a. simple interest from Sudha. She immediately lends it to another person at 6 1⁄4% p.a for 2 years. Find her gain in the transaction per year. 1374 05b5cc6cfe4d2b4197774e332
5b5cc6cfe4d2b4197774e332- 1Rs. 101false
- 2Rs. 98.5false
- 3Rs. 124.3false
- 4Rs. 112.5true
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Answer : 4. "Rs. 112.5"
Explanation :
Answer: D) Rs. 112.5 Explanation: Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest She also lends it at 6 1⁄4% p.a for 2 years => Total Gain = 6 1/4% − 4% = 2 1/4% So her gain in the transaction for 1 year = The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum = PTR100=5000×94×1100 = Rs. 112.5/ year.
Q: In the given number series which follows the definite rules then find out the value of (M, N, O, and P) in second number series. 7 18 42 94 204 4 M N O P What value will come in place of P? 1373 05b5cc6b4e4d2b4197774d4e8
5b5cc6b4e4d2b4197774d4e8- 1179false
- 2184false
- 3164false
- 4156true
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Answer : 4. "156"
Explanation :
Answer: D) 156 Explanation: Here the given series 7 18 42 94 204 follows a pattern that, 7 7 ×2+4 = 18 18 ×2+6 = 42 42 ×2+10 = 94 94 ×2+16 = 204 Similarly, 4 4 ×2+4 = 12 12 ×2+6 = 30 30 ×2+10 = 70 70 ×2+16 = 156 Hence, the value of P = 156.
Q: Who has been elected as 13th Vice President of India ? 1369 05b5cc6cce4d2b4197774e144
5b5cc6cce4d2b4197774e144- 1M Venkaiah Naidutrue
- 2Gopalkrishna Gandhifalse
- 3Hamid Ansarifalse
- 4Ram Nath Kovindfalse
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Answer : 1. "M Venkaiah Naidu"
Explanation :
Answer: A) M Venkaiah Naidu Explanation:
Q: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? 1367 05b5cc6bee4d2b4197774d97e
5b5cc6bee4d2b4197774d97e- 127 7/9 mtstrue
- 225 8/7 mtsfalse
- 321 1/4 mtsfalse
- 422 mtsfalse
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Answer : 1. "27 7/9 mts"
Explanation :
Answer: A) 27 7/9 mts Explanation: Relative speed = (40 - 20) km/hr = 20 x 5 m/sec = 50 m/sec. 18 9 Length of faster train = 50 x 5 m = 250 m = 27 7 m. 9 9 9
Q: 3 divided by 1/3? 1366 05b5cc6b3e4d2b4197774d487
5b5cc6b3e4d2b4197774d487- 11false
- 20false
- 39true
- 4Nonefalse
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: 3 divided by 1/3 => 313 = 3 x 3/1 = 9
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 ? 1365 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.
Q: Which company is now listed to be one of the world's most valuable privately held companies ? 1365 05b5cc6cee4d2b4197774e223
5b5cc6cee4d2b4197774e223- 1Space Xtrue
- 2Tata Steelsfalse
- 3Facebookfalse
- 4Applefalse
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Answer : 1. "Space X"
Explanation :
Answer: A) Space X Explanation: