GATE Practice Question and Answer
8Q: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ? 1446 05b5cc6dfe4d2b4197774eaf3
5b5cc6dfe4d2b4197774eaf3- 111 monthsfalse
- 29 monthsfalse
- 37 monthsfalse
- 410 monthstrue
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Answer : 4. "10 months"
Explanation :
Answer: D) 10 months Explanation: 7x5: 5xk = 7:10k = 10 months
Q: A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ? 998 05b5cc6dfe4d2b4197774eaee
5b5cc6dfe4d2b4197774eaee- 132 hrsfalse
- 224 hrsfalse
- 328 hrstrue
- 426 hrsfalse
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Answer : 3. "28 hrs"
Explanation :
Answer: C) 28 hrs Explanation: 1/K + 1/L + 1/M = 1/8 (Given)Also given that K = 2L and L = 2M=> 1/2L + 1/L + 2/L = 1/8=> (1 + 2 + 4)/2L = 1/8=> 2L/7 = 8=> L = 28 hours.
Q: The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is: 1078 05b5cc6dfe4d2b4197774eae9
5b5cc6dfe4d2b4197774eae9- 130true
- 227false
- 323false
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Answer : 1. "30"
Explanation :
Answer: A) 30 Explanation: Then, A:B = 2:3 and B:C = 5:8= (5 x 3/5) : (8 x 3/5) = 3:24/5A:B:C = 2:3:24/5= 10:15:24 => B = 98 x 15/49 = 30.
Q: The price of an article has been reduced by 35%. In order to restore the original price the new price must be increased by ? 1066 05b5cc6dfe4d2b4197774eae4
5b5cc6dfe4d2b4197774eae4- 151.8 %false
- 249.25 %false
- 347.2 %false
- 453.84 %true
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Answer : 4. "53.84 %"
Explanation :
Answer: D) 53.84 % Explanation: 100 65 -------65 ------- 35100 ------ ? => 53.84 %
Q: A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ? 1240 05b5cc6dfe4d2b4197774ead0
5b5cc6dfe4d2b4197774ead0- 110 daystrue
- 214 daysfalse
- 311 daysfalse
- 49 daysfalse
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Answer : 1. "10 days"
Explanation :
Answer: A) 10 days Explanation: For 30 days he receives 30 x 25 = 750 Actually he gets 425 Therefore, Fine is 750 - 425 = 325 => No of days absent = 325/(25+7.50)= 10
Q: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ? 1629 05b5cc6dfe4d2b4197774eacb
5b5cc6dfe4d2b4197774eacb- 145/7 %false
- 250/9 %true
- 351/7 %false
- 447/ 9 %false
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Answer : 2. "50/9 %"
Explanation :
Answer: B) 50/9 % Explanation: Let sum = S. Then, amount = 7S/6 S.I. = 7S/6 - S = S/6; Time = 3 years. Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.
Q: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ? 1175 05b5cc6dfe4d2b4197774eac6
5b5cc6dfe4d2b4197774eac6- 1476190476false
- 248617false
- 347619true
- 44587962false
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Answer : 3. "47619"
Explanation :
Answer: C) 47619 Explanation: By hit and trail, we find that 47619 x 7 = 333333. 7) 333333 (47619 333333---------------- 0 And 476190476 x 7 = 3333333333 but smallest number is 47619.
Q: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ? 1318 05b5cc6dfe4d2b4197774eabc
5b5cc6dfe4d2b4197774eabc- 15true
- 24false
- 37false
- 46false
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Answer : 1. "5"
Explanation :
Answer: A) 5 Explanation: Let the number be x. Then, 3x2 - 4x = x + 50 3x2- 5x - 50 = 0 (3x + 10)(x - 5) = 0 x = 5