Quantitative Aptitude Practice Question and Answer

Q: When 0.46 is written in simplest form, the sum of the numerator and the denominator is  ? 1720 0

  • 1
    69
    Correct
    Wrong
  • 2
    73
    Correct
    Wrong
  • 3
    96
    Correct
    Wrong
  • 4
    41
    Correct
    Wrong
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Answer : 2. "73"
Explanation :

Answer: B) 73 Explanation: 0.46 = 46/100 = 23/50. Sum of the numerator and denominator is 23 + 50 = 73

Q: A 250 metre long train crosses a pole in 15 seconds. What is its speed in km/hour? 1718 0

  • 1
    90
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    70
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 4. "None of these"

Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 1718 0

  • 1
    8 m/h
    Correct
    Wrong
  • 2
    5 m/h
    Correct
    Wrong
  • 3
    7 m/h
    Correct
    Wrong
  • 4
    6 m/h
    Correct
    Wrong
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Answer : 2. "5 m/h"
Explanation :

Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h

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 ? 1718 1

  • 1
    42.2 mts
    Correct
    Wrong
  • 2
    33.45 mts
    Correct
    Wrong
  • 3
    66.6 mts
    Correct
    Wrong
  • 4
    58.78 mts
    Correct
    Wrong
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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.

Q: If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ? 1716 0

  • 1
    24%
    Correct
    Wrong
  • 2
    29%
    Correct
    Wrong
  • 3
    34%
    Correct
    Wrong
  • 4
    25%
    Correct
    Wrong
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Answer : 4. "25%"
Explanation :

Answer: D) 25% Explanation: Here, k = 7 and l = 28Therefore, first number = klx100 % of second number = 7/28 x 100% of second number = 25% of second number.

Q: A and B started a business investing the money in ratio 4:6, after 6 months B withdraw his investment and C joins him with twice the amount of B. At the end of the year total profit is Rs.3315. Find share of C ? 1713 0

  • 1
    Rs. 450
    Correct
    Wrong
  • 2
    Rs. 1020
    Correct
    Wrong
  • 3
    Rs. 765
    Correct
    Wrong
  • 4
    Rs. 1530
    Correct
    Wrong
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Answer : 4. "Rs. 1530"
Explanation :

Answer: D) Rs. 1530 Explanation: Ratio of investments of A, B & C => Share of C = 1530 Share of B = 765 Share of A = 1020

Q: The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ? 1713 0

  • 1
    2 yrs
    Correct
    Wrong
  • 2
    4 yrs
    Correct
    Wrong
  • 3
    3 yrs
    Correct
    Wrong
  • 4
    5 yrs
    Correct
    Wrong
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Answer : 1. "2 yrs"
Explanation :

Answer: A) 2 yrs Explanation: 29 x 2 = 5820 x 3 = 60         -----------               2 years Therefore, the age of child is 2 years.

Q: Rajitha's present age is three years less than twice her age 12 years ago. Also, the ratio of Raj's present age to Rajitha's present age is 4:9. What will be Raj's age after 5 years ? 1712 0

  • 1
    17 yrs
    Correct
    Wrong
  • 2
    16 yrs
    Correct
    Wrong
  • 3
    19 yrs
    Correct
    Wrong
  • 4
    21 yrs
    Correct
    Wrong
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Answer : 1. "17 yrs"
Explanation :

Answer: A) 17 yrs Explanation: Let the present age of Raj and Rajitha be 4x and 9x.Then, according to question,9x = 2(9x-12)-3 => 9x = 27 => x = 3Raj's present age = 4x = 12yrs, After 5 years Raj's age will be 12 + 5 = 17 yrs.

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