GATE Practice Question and Answer
8Q: Shamma lends Rs.40,000 to two of her friends. She gives Rs.24,000 to the first at 8% p.a. simple interest. Shamma wants to make a profit of 10% on the whole. The simple interest rate at which she should lend the remaining sum of money to the second friend is: 2037 05b5cc6b7e4d2b4197774d624
5b5cc6b7e4d2b4197774d624- 113%true
- 28.5%false
- 39.5%false
- 411.25%false
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Answer : 1. "13%"
Explanation :
Answer: A) 13% Explanation: The ratio of money she lended is 24000 : 16000 = 3 : 2 Let the rate of interest be R% 8% R% 10 3 : 2 R = 13%.
Q: Square is to Triangle and Cube is to 2830 05b5cc6b7e4d2b4197774d606
5b5cc6b7e4d2b4197774d606- 1Pyramidtrue
- 2Rectanglefalse
- 3Icefalse
- 4Rhombusfalse
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Answer : 1. "Pyramid"
Explanation :
Answer: A) Pyramid Explanation: Square is 2-dimensional 4 sided figure Whereas Cube is 3-dimensional figure which looks like Square. Similarly, Triangle is 2-dimensional 3 sided figure Whereas Pyramid is 3-dimensional figure which looks like Triangle.
Q: The sum of three consecutive odd numbers is 93. What is the middle number? 2152 05b5cc6b7e4d2b4197774d5e7
5b5cc6b7e4d2b4197774d5e7- 131true
- 233false
- 329false
- 427false
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Answer : 1. "31"
Explanation :
Answer: A) 31 Explanation: Let the three consecutive odd numbers be x, x+2, x+4 Then, x + x + 2 + x + 4 = 93 => 3x + 6 = 93 => 3x = 87 => x = 29 => 29, 31, 33 are three consecutive odd numbers. Therefore, the middle number is 31.
Q: A train travelling with a speed of 60 km/hr catches another train travelling in the same direction and then leaves it 120m behind in 18 seconds. The speed of the second train is 1632 05b5cc6b7e4d2b4197774d5dd
5b5cc6b7e4d2b4197774d5dd- 142 kmphfalse
- 272 kmphfalse
- 336 kmphtrue
- 444 kmphfalse
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Answer : 3. "36 kmph"
Explanation :
Answer: C) 36 kmph Explanation: Given speed of the first train = 60 km/hr = 60 x 5/18 = 50/3 m/s Let the speed of the second train = x m/s Then, the difference in the speed is given by 503 - x = 12018 => x = 10 m/s => 10 x 18/5 = 36 km/hr
Q: In a college, number of boys is 75% of number of girls. Difference between boys and girls is 35. On a particular day 20% boys were absent, then find the number of boys those who present? 1533 05b5cc6b7e4d2b4197774d5e2
5b5cc6b7e4d2b4197774d5e2- 172false
- 284true
- 393false
- 481false
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Answer : 2. "84"
Explanation :
Answer: B) 84 Explanation: Ratio of girls and boys = 100% : 75% = 4:3 Difference is 1 unit = 35 So, 3 units = 35 x 3 = 105 If 20% absent, that’s mean 80% present. So, present boys = 80% of 105 = 80×105100 = 84
Q: Hari Ram’s present age is three times his son’s present age and two fifth of his father’s present age. The average of the present age of all of them is 46 years. What is the difference between Hari Ram’s son’s present age and Hari Ram’s father’s present age? 5476 05b5cc6b7e4d2b4197774d5d8
5b5cc6b7e4d2b4197774d5d8- 144 yrsfalse
- 256 yrsfalse
- 367 yrsfalse
- 478 yrstrue
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Answer : 4. "78 yrs"
Explanation :
Answer: D) 78 yrs Explanation: Let Hari Ram's present age = x Then, his son's age = x/3 Father's age = 5x/2 x + x3 + 52x3 = 46=> x = 36 yrs Now the required difference = 52x36 - 363 = 78 yrs
Q: 111 13 112 24 113 35 117 ? 2110 05b5cc6b7e4d2b4197774d5ce
5b5cc6b7e4d2b4197774d5ce- 146false
- 257false
- 368false
- 479true
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Answer : 4. "79"
Explanation :
Answer: D) 79
Explanation: The given puzzle follows a pattern that,
Number -
Q: 5/8 as a Decimal Equals To 1524 05b5cc6b6e4d2b4197774d5c3
5b5cc6b6e4d2b4197774d5c3- 10.625true
- 20.541false
- 30.258false
- 40.147false
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Answer : 1. "0.625"
Explanation :
Answer: A) 0.625 Explanation: 5/8 is Nothing but to divide 5 into 8 parts. As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.) Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6) Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20. Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62) Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40. Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625) Therefore, the decimal value of 58 is 0.625. Now find a decimal value of 1117 and Discuss your at Discuss.