GATE Practice Question and Answer
8Q: Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay ? 2484 05b5cc6eee4d2b4197774ef04
5b5cc6eee4d2b4197774ef04- 141 yrsfalse
- 240 yrstrue
- 337 yrsfalse
- 433 yrsfalse
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Answer : 2. "40 yrs"
Explanation :
Answer: B) 40 yrs Explanation: Let the present ages of Ajay and Vijay be 'A' and 'V' years respectively. => A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8) => 3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8 V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8 => 3/4 A - 6 + 8 = 5/6 A + 20/3 - 8 => 10 - 20/3 = 10/12 A - 9/12 A => 10/3 = A/12 => A = 40.
Q: A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ? 5450 05b5cc6eee4d2b4197774eed7
5b5cc6eee4d2b4197774eed7- 1²²C₁₀ + 1false
- 2²²C₉ + ¹⁰C₁false
- 3²²C₁₀false
- 4²²C₁₀ - 1true
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Answer : 4. "²²C₁₀ - 1"
Explanation :
Answer: D) ²²C₁₀ - 1 Explanation: The total number of ways of forming the group of ten representatives is ²²C₁₀. The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way The required number of ways = ²²C₁₀ - 1
Q: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ? 2774 05b5cc6ebe4d2b4197774eeb9
5b5cc6ebe4d2b4197774eeb9- 120% p.atrue
- 215% p.afalse
- 318% p.afalse
- 424% p.afalse
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Answer : 1. "20% p.a"
Explanation :
Answer: A) 20% p.a Explanation: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year. Rate of interest = (100 x 240) / (1200) = 20% p.a
Q: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ? 2920 05b5cc6ebe4d2b4197774eeaa
5b5cc6ebe4d2b4197774eeaa- 1A = 48000 B = 40000 C = 30000false
- 2A = 30000 B = 40000 C = 48000true
- 3A = 30000 B = 48000 C = 40000false
- 4A = 40000 B = 48000 C = 30000false
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Answer : 2. "A = 30000 B = 40000 C = 48000"
Explanation :
Answer: B) A = 30000 B = 40000 C = 48000 Explanation: Compound ratio of A:B:CA:B = 3:4B:C = 5:6----------A:B:C = 15:20:24 We can divide Rs.118000 in this ratio. Share of A = 15/59 x 118000 = 30000 Share of B = 20/59 x 118000 = 40000 Share of C = 24/59 x 118000 = 48000
Q: In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ? 3346 05b5cc6ebe4d2b4197774ee9b
5b5cc6ebe4d2b4197774ee9b- 1910false
- 21000false
- 3970false
- 4None of the abovetrue
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Answer : 4. "None of the above"
Explanation :
Answer: D) None of the above Explanation: 504/M = 384/800 (504 x 800) / 384 = M M = 1050
Q: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? 963 05b5cc6ebe4d2b4197774ee64
5b5cc6ebe4d2b4197774ee64- 11false
- 21/2true
- 30false
- 43/5false
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Answer : 2. "1/2"
Explanation :
Answer: B) 1/2 Explanation: The number of exhaustive outcomes is 36.Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2P(E) = 1 - 1/2 = 1/2.
Q: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 5830 05b5cc6ebe4d2b4197774ee46
5b5cc6ebe4d2b4197774ee46- 11/3 kmphfalse
- 22/3 kmphfalse
- 31/4 kmphfalse
- 41/2 kmphtrue
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Answer : 4. "1/2 kmph"
Explanation :
Answer: D) 1/2 kmph Explanation: Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr. Speed in downstream = 3 x 60/18 = 10 km/hr Rate of current = (10-9)/2 = 1/2 km/hr.
Q: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 1811 05b5cc6e9e4d2b4197774ee3c
5b5cc6e9e4d2b4197774ee3c- 197 %false
- 2110 %true
- 3135 %false
- 4115 %false
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Answer : 2. "110 %"
Explanation :
Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.