Quantitative Aptitude Practice Question and Answer
8Q: A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ? 2743 05b5cc6eee4d2b4197774eeeb
5b5cc6eee4d2b4197774eeeb- 14% p.a.false
- 26% p.a.false
- 38% p.a.false
- 412% p.a.true
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Answer : 4. "12% p.a."
Explanation :
Answer: D) 12% p.a. Explanation: If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate. Let the earlier rate of interest be x%. Now it will be (x + 3)% % increase = (x + 3) - x/x * 100 = 25=> x = 12%
Q: What number should replace the question mark? 125, 138, 164, ?, 255 2736 05b5cc6a1e4d2b4197774cabd
5b5cc6a1e4d2b4197774cabd- 1189false
- 2197false
- 3200false
- 4203true
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Answer : 4. "203"
Explanation :
Answer: D) 203 Explanation: The given number series is 125, 138, 164, ?, 255 125 125 + 13x1 = 138 138 + 13x2 = 164 164 + 13x3 = 203 203 + 13x4 = 255 Hence, the missing number in the series is 203.
Q: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ? 2733 05b5cc6e1e4d2b4197774ebf2
5b5cc6e1e4d2b4197774ebf2- 1Rs. 6000false
- 2Rs. 4500false
- 3Rs. 5000true
- 4Rs. 6500false
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Answer : 3. "Rs. 5000"
Explanation :
Answer: C) Rs. 5000 Explanation: Income = Rs. 100 Expenditure = Rs. 80 Savings = Rs. 20 Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92 Present Savings = 100 – 92 = Rs. 8 100 ------ 8? --------- 400 => 5000 His salary = Rs. 5000
Q: A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ? 2724 05b5cc741e4d2b4197774f99a
5b5cc741e4d2b4197774f99a- 188572true
- 277854false
- 399584false
- 455654false
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Answer : 1. "88572"
Explanation :
Answer: A) 88572 Explanation: Given a secret is told to 3 persons in 3 minutes.And if the process continues with each person saying 3 other persons,In 30 minutes => the rocess for 10 times because each person time is 3 minutes.Required number of persons = 3 + 32 + 33 + .... + 39 + 310 Now it forms a geometric progression, Sum to n terms is S = arn - 1r - 1 Here a = 3, r = 3 => 59048 x 3 /2 = 88572.
Q: Length of a train is 300 metre. It’s speed is 72 km/hour. In how many seconds it can cross a pole? 2717 05d15fd8e44a3a75f13296b87
5d15fd8e44a3a75f13296b87- 118 secondsfalse
- 215 secondstrue
- 312 secondsfalse
- 420 secondsfalse
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Answer : 2. "15 seconds"
Q: The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much greater than twice the sum of the two original numbers ? 2713 05b5cc74ae4d2b4197774faae
5b5cc74ae4d2b4197774faae- 1p timesfalse
- 22p timesfalse
- 3(p + 4) timestrue
- 4(2p + 3) timesfalse
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Answer : 3. "(p + 4) times"
Explanation :
Answer: C) (p + 4) times Explanation: Let the two no's be a and b;Given product of the no's is p = ab;If the each nos is increased by 2 then the new product will be (a+2)(b+2) = ab + 2a + 2b + 4= ab + 2(a+b) + 4= p + 2(a+b) + 4Hence the new product is (p+4) times greater than twice the sum of the two original numbers.
Q: The third proportional to 9 and 12 is ? 2713 05b5cc6e9e4d2b4197774ede8
5b5cc6e9e4d2b4197774ede8- 114false
- 216true
- 318false
- 420false
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Answer : 2. "16"
Explanation :
Answer: B) 16 Explanation: Let the third proportion to 9 & 12 be 'x'. => 9:12 = 12 :p => p = 12x12/9 = 16.
Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 2712 15b5cc72ce4d2b4197774f79c
5b5cc72ce4d2b4197774f79c- 142.2 mtsfalse
- 233.45 mtsfalse
- 366.6 mtstrue
- 458.78 mtsfalse
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Answer : 3. "66.6 mts"
Explanation :
Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.