Quantitative Aptitude Practice Question and Answer

Q:

Mr. Khanna took a loan of Rs 10,000 on simple interest for two years at the rate 3% per annum. The total amount that he will be paying as interest in 2 year is 3% of his monthly salary. What his monthly salary?

2344 0

  • 1
    Rs 30,000
    Correct
    Wrong
  • 2
    Rs 16,000
    Correct
    Wrong
  • 3
    Rs 20,000
    Correct
    Wrong
  • 4
    Rs 12,000
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 3. "Rs 20,000"
Explanation :

3% of SI=PRT/100

10,000*3*2/100= 3 of x
then x =20,000

Q: The ratio between boys and girl’s in a school is 4:6 respectively. If the number of boys is increased by 200 the ratio becomes 5:6 respectively. How many girls are there in the school? 2339 0

  • 1
    1200
    Correct
    Wrong
  • 2
    800
    Correct
    Wrong
  • 3
    1000
    Correct
    Wrong
  • 4
    500
    Correct
    Wrong
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Answer : 1. "1200"

Q: If A: B=3:4, B:C=8:9, and C:D=15:16, Find A:D 2335 1

  • 1
    5:8
    Correct
    Wrong
  • 2
    5:7
    Correct
    Wrong
  • 3
    15:32
    Correct
    Wrong
  • 4
    20:44
    Correct
    Wrong
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Answer : 1. "5:8"

Q: 7, 11, 19, 35, ? Find the next number in the given number series? 2331 0

  • 1
    131
    Correct
    Wrong
  • 2
    94
    Correct
    Wrong
  • 3
    83
    Correct
    Wrong
  • 4
    67
    Correct
    Wrong
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Answer : 4. "67"
Explanation :

Answer: D) 67 Explanation: Here the given series 7, 11, 19, 35, ? follows a pattern that (x 2 - 3) i.e, 7 7 x 2 - 3 = 11 11 x 2 - 3 = 19 19 x 2 - 3 = 35 35 x 2 - 3 = 67 67 x 2 - 3 = 131   Hence the next number in the given number series is 67.

Q: A is 3 times faster than B. If A can finish a work 32 days less than that of B, find the number of days need to finish the work if both are working together? 2331 0

  • 1
    12 days
    Correct
    Wrong
  • 2
    24 days
    Correct
    Wrong
  • 3
    32 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 1. "12 days"
Explanation :

Answer: A) 12 days Explanation: It is given that efficiency ratio =3:1 so time ratio will be 1:3 (since work is same)   Also given that time diff = 32 days. ratio difference = 3-1 =2  2 ratio = 32 days 1 ratio = 16 days. So A will alone finish it in 16 days and B will finish it in 16*3 = 48 days.   Total work = LCM of 16 and 48 = 48. Total time = Total work/Total efficiency  ie; 48/4= 12 days.

Q: 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 ? 2323 0

  • 1
    4% p.a.
    Correct
    Wrong
  • 2
    6% p.a.
    Correct
    Wrong
  • 3
    8% p.a.
    Correct
    Wrong
  • 4
    12% p.a.
    Correct
    Wrong
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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: How many remainders are possible if 16n is divided by 9 for any positive integral value of n ? 2322 0

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

Answer: C) 3 Explanation: When 16nis divided by 9, we have  1619, remainder = 7   1629, remainder = 4  1639, remainder = 1  1649, remainder = 7  1659, remainder = 4  1669, remainder = 1  So, we have cyclicity of 3 factors i.e 7,4,1.  Hence only 3 remainders are possible.

Q: A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ? 2313 0

  • 1
    24 - 1
    Correct
    Wrong
  • 2
    2425-1
    Correct
    Wrong
  • 3
    (24-1)(23-1)25
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "(24-1)(23-1)25"
Explanation :

Answer: C) C Explanation: It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects.   Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection.   Hence, we can select 1 black ball from 4 black ballsor 2 black balls from 4 black balls.or 3 black balls from 4 black balls.or 4 black balls from 4 black balls.   Hence, number of ways in which we can select the black balls   = 4C1 + 4C2 + 4C3 + 4C4= 24-1 ........(A)   Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection.   Hence, we can select 1 red ball from 3 red ballsor 2 red balls from 3 red ballsor 3 red balls from 3 red balls   Hence, number of ways in which we can select the red balls= 3C1 + 3C2 + 3C3=23-1........(B)   Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)or 1 blue ball from 5 blue ballsor 2 blue balls from 5 blue ballsor 3 blue balls from 5 blue ballsor 4 blue balls from 5 blue ballsor 5 blue balls from 5 blue balls.   Hence, number of ways in which we can select the blue balls= 5C0 + 5C1 + 5C2 + … + 5C5= 25..............(C)   From (A), (B) and (C), required number of ways=  2524-123-1

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