Quantitative Aptitude Practice Question and Answer
8Q: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ? 1169 05b5cc6ebe4d2b4197774ee69
5b5cc6ebe4d2b4197774ee69- 1100 πtrue
- 2101/πfalse
- 399 π/12false
- 454/13πfalse
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Answer : 1. "100 π"
Explanation :
Answer: A) 100 π Explanation: 4/3 π x 10 x 10 x 10 = 8 x 4/3 π x r x r x rr = 54π x 5 x 5 = 100π
Q: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? 963 05b5cc6ebe4d2b4197774ee64
5b5cc6ebe4d2b4197774ee64- 11false
- 21/2true
- 30false
- 43/5false
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Answer : 2. "1/2"
Explanation :
Answer: B) 1/2 Explanation: The number of exhaustive outcomes is 36.Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2P(E) = 1 - 1/2 = 1/2.
Q: The number of permutations of the letters of the word 'MESMERISE' is ? 2616 05b5cc6ebe4d2b4197774ee5f
5b5cc6ebe4d2b4197774ee5f- 19!/(2!)^{2}x3!true
- 29! x 2! x 3!false
- 30false
- 4Nonefalse
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Answer : 1. "9!/(2!)^{2}x3!"
Explanation :
Answer: A) 9!/(2!)^{2}x3! Explanation: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.Number of arrangements = 9!(2!)2×3!
Q: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 5829 05b5cc6ebe4d2b4197774ee46
5b5cc6ebe4d2b4197774ee46- 11/3 kmphfalse
- 22/3 kmphfalse
- 31/4 kmphfalse
- 41/2 kmphtrue
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Answer : 4. "1/2 kmph"
Explanation :
Answer: D) 1/2 kmph Explanation: Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr. Speed in downstream = 3 x 60/18 = 10 km/hr Rate of current = (10-9)/2 = 1/2 km/hr.
Q: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? 6517 15b5cc6e9e4d2b4197774ee41
5b5cc6e9e4d2b4197774ee41- 1180 kmtrue
- 2160 kmfalse
- 3140 kmfalse
- 4120 kmfalse
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Answer : 1. "180 km"
Explanation :
Answer: A) 180 km Explanation: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.
Q: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 1811 05b5cc6e9e4d2b4197774ee3c
5b5cc6e9e4d2b4197774ee3c- 197 %false
- 2110 %true
- 3135 %false
- 4115 %false
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Answer : 2. "110 %"
Explanation :
Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.
Q: How many degrees will the minute hand move, in the same time in which the second hand move 5400 ? 1730 05b5cc6e9e4d2b4197774ee29
5b5cc6e9e4d2b4197774ee29- 190 degreestrue
- 285 degreesfalse
- 360 degreesfalse
- 445 degreesfalse
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Answer : 1. "90 degrees"
Explanation :
Answer: A) 90 degrees Explanation: Minute hand covers 5400/60 = 90°
Q: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ? 1653 05b5cc6e9e4d2b4197774ee15
5b5cc6e9e4d2b4197774ee15- 1Rs. 3748false
- 2Rs. 3847false
- 3Rs. 3944true
- 4Rs. 3154false
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Answer : 3. "Rs. 3944"
Explanation :
Answer: C) Rs. 3944 Explanation: Let the side of the square plot be 'a' ft.Given area of the plot (a x a) = 289 => a = 17Length of the fence = Perimeter of the plot = 4a = 68 ft.Cost of building the fence = 68 x 58 = Rs. 3944.