Quantitative Aptitude Practice Question and Answer
8Q: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ? 1664 05b5cc6dce4d2b4197774e99c
5b5cc6dce4d2b4197774e99c- 1400 mtrue
- 2300 mfalse
- 3500 mfalse
- 4600 mfalse
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Answer : 1. "400 m"
Explanation :
Answer: A) 400 m Explanation: Speed = 78 x 5/18 = 65/3 m/sec.Time = 1 min = 60 sec.Let the length of the train be x meters.Then, (900 + x)/60 = 65/3x = 400 m.
Q: The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ? 1664 05b5cc731e4d2b4197774f823
5b5cc731e4d2b4197774f823- 115 mtsfalse
- 230 mtstrue
- 324 mtsfalse
- 436 mtsfalse
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Answer : 2. "30 mts"
Explanation :
Answer: B) 30 mts Explanation: The cow can graze an area of 2826 sq.m i.e it is able to cover area of circle of 2826 sq.m Therefore, πr2 =2826r2 =(2826×7/22) = 899.18 = 900r = 30 m. Therefore, the radius of the circle implies the length of the rope = 30 mts.
Q: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum ? 1663 05b5cc6e2e4d2b4197774ec39
5b5cc6e2e4d2b4197774ec39- 1Rs. 5858false
- 2Rs. 8800false
- 3Rs. 7000true
- 4Rs. 6350false
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Answer : 3. "Rs. 7000"
Explanation :
Answer: C) Rs. 7000 Explanation: Let the sum be Rs. S.(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840 => 12S/100 = 840 => S = 7000.
Q: Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. 1662 05b5cc6c7e4d2b4197774dec8
5b5cc6c7e4d2b4197774dec8- 11:9false
- 29:1false
- 33:7false
- 47:3true
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Answer : 4. "7:3"
Explanation :
Answer: D) 7:3 Explanation: Ratio of Milk and water in a vessel A is 4 : 1 Ratio of Milk and water in a vessel B is 3 : 2 Ratio of only milk in vessel A = 4 : 5 Ratio of only milk in vessel B = 3 : 5 Let 'x' be the quantity of milk in vessel C Now as equal quantities are taken out from both vessels A & B => 4/5 : 3/5 x 3/5-x x - 4/5 => 35-xx-45 = 11 (equal quantities) => x = 7/10 Therefore, quantity of milk in vessel C = 7 => Water quantity = 10 - 7 = 3 Hence the ratio of milk & water in vessel 3 is 7 : 3
Q: A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number ? 1659 05b5cc6c9e4d2b4197774df9c
5b5cc6c9e4d2b4197774df9c- 17false
- 223true
- 39false
- 421false
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Answer : 2. "23"
Explanation :
Answer: B) 23 Explanation: Let the greater and smaller number be p and q respectively. 4q = p + 5 ------ (I) p = 3q+2 ------- (II) From equation (I) and (II) q = 7 p = 23
Q: There are 1650 students in a college. The difference between the number of boys and girls in the college is 400. What is the percentage of girls in the college ? 1658 05b5cc6c5e4d2b4197774dd1e
5b5cc6c5e4d2b4197774dd1e- 149false
- 234false
- 343false
- 438true
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Answer : 4. "38"
Explanation :
Answer: D) 38 Explanation: Let no. of boys be 'B' and no. of girls be 'G' Here from given data, B + G = 1650 .....(1) B - G = 400 .....(2) From (1) & (2), we get 2B = 2050 => B = 1025 => G = 1650 - 1025 = 625 Hence, the % of girls = 625 x 100/1650 => 38% (approx).
Q: The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ? 1658 05b5cc6f8e4d2b4197774f072
5b5cc6f8e4d2b4197774f072- 128false
- 219false
- 337false
- 417true
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Answer : 4. "17"
Explanation :
Answer: D) 17 Explanation: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.P + Q = 8 ----- (1)(10Q + P) - (10P + Q) = 549(Q - P) = 54(Q - P) = 6 ----- (2)Solve (1) and (2) P = 1 and Q = 7The required number is = 17
Q: Sreya bought a plot for Rs. 6,00,000, then sold half of the plot at 10 % profit and rest at 15% profit. What is the total profit % that Sreya gain? 1657 05b5cc6bfe4d2b4197774da65
5b5cc6bfe4d2b4197774da65- 113.8 %false
- 211.4 %false
- 312.5 %true
- 414.5 %false
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Answer : 3. "12.5 %"
Explanation :
Answer: C) 12.5 % Explanation: 10% profit at half plot = 600000/2 x 10/100 = Rs. 30,000 15% profit at remaining half plot = 600000/2 x 15/100 = Rs. 45,000 Now, total profit = 30000 + 45000 = 75000 Profit % = 75000/600000 x 100 = 12.5 %