Quantitative Aptitude Practice Question and Answer

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 ? 1107 0

  • 1
    15 mts
    Correct
    Wrong
  • 2
    30 mts
    Correct
    Wrong
  • 3
    24 mts
    Correct
    Wrong
  • 4
    36 mts
    Correct
    Wrong
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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: Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ? 2355 0

  • 1
    900 mts
    Correct
    Wrong
  • 2
    300 mts
    Correct
    Wrong
  • 3
    250 mts
    Correct
    Wrong
  • 4
    500 mts
    Correct
    Wrong
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Answer : 4. "500 mts"
Explanation :

Answer: D) 500 mts Explanation: Using pythagarous theorem,distance travelled by first train = 36x5/18x30 = 300mdistance travelled by second train = 48x5/18x30 = 400mso distance between them =√( 90000 + 160000) = √250000 = 500mts.

Q: What is the right most integer of the expression 65776759 + 54697467  ? 9965 0

  • 1
    4
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Last digit for the power of 6 is 6 (always) Power cycle of 7 is 7, 9, 3, 1. Now 467/4 gives a remainder of 3 Then the last digit is 73 = 3 Last digit is 6 + 3 = 9.

Q: P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ? 2984 0

  • 1
    120
    Correct
    Wrong
  • 2
    240
    Correct
    Wrong
  • 3
    360
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 1. "120"
Explanation :

Answer: A) 120 Explanation: 1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone) so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1 so R share = (1/10) x 1200 = 120.

Q: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed ? 1279 0

  • 1
    5040
    Correct
    Wrong
  • 2
    2525
    Correct
    Wrong
  • 3
    2052
    Correct
    Wrong
  • 4
    4521
    Correct
    Wrong
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Answer : 1. "5040"
Explanation :

Answer: A) 5040 Explanation: The Word LOGARITHMS  contains 10 letters. To find how many 4 letter words we can form from that = P410 =10x9x8x7 = 5040.

Q: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ? 1325 0

  • 1
    6
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

Q: 640 ml of a mixture contains milk and water in ratio 6:2. How much of the water is to be added to get a new mixture containing half milk and half water ? 1332 0

  • 1
    360 ml
    Correct
    Wrong
  • 2
    320 ml
    Correct
    Wrong
  • 3
    310 ml
    Correct
    Wrong
  • 4
    330 ml
    Correct
    Wrong
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Answer : 2. "320 ml"
Explanation :

Answer: B) 320 ml Explanation: Here total parts of milk and water in the solution is 6+2 = 8 parts. 1part = 640/8 = 80   old mixture contains 6parts of milk and 2 parts of water(6:2).   To get new mixture containing half milk and half water, add 4parts of water to the old mixture then 6:(2+4) to make the ratio same. i.e, 4 x 80 = 320 ml.

Q: At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ? 3426 0

  • 1
    66 sec
    Correct
    Wrong
  • 2
    55 sec
    Correct
    Wrong
  • 3
    36 sec
    Correct
    Wrong
  • 4
    24 sec
    Correct
    Wrong
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Answer : 1. "66 sec"
Explanation :

Answer: A) 66 sec Explanation: For ticking 6 times, there are 5 intervals. Each interval has time duration of 30/5 = 6 secs At 12 o'clock, there are 11 intervals,so total time for 11 intervals = 11 x 6 = 66 secs.

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