GATE Practice Question and Answer
8Q: A person lends Rs. 1540 for five years and Rs. 1800 for four years. If he gets Rs. 1788 as interest on both amounts, what is the rate of interest ? 1652 05b5cc6c8e4d2b4197774deec
5b5cc6c8e4d2b4197774deec- 114.5%false
- 211%false
- 312%true
- 410.5%false
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Answer : 3. "12%"
Explanation :
Answer: C) 12% Explanation: Let the interest rate be r% We know that, S.I = PTR/100 => (1540 x 5 x r)/100 + (1800 x 4 x r)/100 = 1788 => r = 178800/14900 = 12%
Q: The angle between the minute hand and the hour hand of a clock when the time is 4.15 is 1652 05b5cc6cfe4d2b4197774e328
5b5cc6cfe4d2b4197774e328- 10false
- 237.5true
- 327false
- 415false
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Answer : 2. "37.5"
Explanation :
Answer: B) 37.5 Explanation: Angle between hands of a clock When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock => 30H-M5+M2 degrees Here H = 4, M = 15 and the minute hand is behind the hour hand. Hence the angle = 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees
Q: What is the maximum velocity with which a body of mass 'm' must enter a vertical loop of radius 'R'so that it can complete the loop? 1652 05b5cc6f1e4d2b4197774ef91
5b5cc6f1e4d2b4197774ef91- 10false
- 2gRfalse
- 32gRfalse
- 45gRtrue
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Answer : 4. "5gR"
Explanation :
Answer: D) D Explanation: To complete the vertical loop, the minimum speed required at the lowest point = 5gR.
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Answer :
Explanation :
9 P in SS is a short form for 9 Planets i Solar System. There are many more of this kind. Some of them are: 1. 7 C in a R - 7 Colours in a Rainbow 2. 90 D in a R A - 90 Degrees in a Right Angle 3. 52 W in a Y - 52 Weeks in a Year 4. 5 C in an OF 5. 12 S of the Z
Q: Standing on a platform, Rajan told Kumar that Varanasi was more than 20 km but less than 25 km from there. Kumar knew that it was more than 18 km but less than 22 km from there. If both of them are correct, then which of the following is the true distance of Varanasi from the platform ? 1651 05b5cc6c5e4d2b4197774dd28
5b5cc6c5e4d2b4197774dd28- 120 kmfalse
- 222 kmfalse
- 319 kmfalse
- 421 kmtrue
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Answer : 4. "21 km"
Explanation :
Answer: D) 21 km Explanation: From both voices it can be conclude that, Varanasi is more than 20km but less than 22km away. That is it is 21 kms away.
Q: On retirement, a woman gets Rs. 1,45,440 of her provident fund which she invests in a scheme at 20% per annum. Her monthly income from this scheme will be 1650 05b5cc6a2e4d2b4197774cb9e
5b5cc6a2e4d2b4197774cb9e- 1Rs. 2550false
- 2Rs. 2424true
- 3Rs. 2224false
- 4Rs. 2380false
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Answer : 2. "Rs. 2424"
Explanation :
Answer: B) Rs. 2424 Explanation: Now, the principal amount P = Rs. 1,45,440 Rate of interest R = 20%/annum Now monthly income I = PTR/100 = 1,45,440 x 20 x 1/100 x 12 = 2908800/1200 = Rs. 2424. Hence, her monthly income = Rs. 2424.
Q: Which of the following vitamin helps in clotting of blood? 1650 05b5cc68be4d2b4197774c3b6
5b5cc68be4d2b4197774c3b6- 1Vitamin Ktrue
- 2Vitamin Dfalse
- 3Vitamin B1false
- 4Vitamin B2false
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Answer : 1. "Vitamin K"
Explanation :
Answer: A) Vitamin K Explanation: Vitamin K helps in clotting of blood. It is used by the body to help blood clot. Warfarin (Coumadin) is used to slow blood clotting. By helping the blood clot, vitamin K might decrease the effectiveness of warfarin (Coumadin).
Q: Prasanna invested certain amount in three different schemes X, Y and Z with the rate of interest 10% p.a, 12% p.a and 15% p.a respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme Z was 150% of the amount invested in Scheme X and 240% of the amount invested in Scheme Y, what was the amount invested in Scheme Y by Prasanna ? 1649 05b5cc6c5e4d2b4197774ddb9
5b5cc6c5e4d2b4197774ddb9- 1Rs.6000false
- 2Rs.4500false
- 3Rs.7500false
- 4Rs.5000true
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Answer : 4. "Rs.5000"
Explanation :
Answer: D) Rs.5000 Explanation: Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then, As we know: Simple interest (S.I.) = PTR/100 (a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200 = 10a + 12b + 15c = 320000 .........(1) Now, c = 240% of b = 12b/5 .........(2) And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3) From (1), (2) and (3), we have 16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000 ∴ Sum invested in Scheme Y = Rs.5000.