RRB NTPC - Averages (200 Questions with Explanation): Quantitative Aptitude Test

  • 1. If the average age of six numbers is 30. If one is excluded. The average become 25. The excluded number is:
   A.) 54
   B.) 55
   C.) 53
   D.) 45

Answer: Option 'B'

  • 2. If the average age of six numbers is 30. If one is excluded. The average become 25. The excluded number is:
   A.) 54
   B.) 55
   C.) 53
   D.) 45

Answer: Option 'B'

  • 3. Of the three numbers whose average is 45, the first is half of the sum of the others. The first number is: 
   A.) 45
   B.) 51
   C.) 59
   D.) 49

Answer: Option 'A'

45

  • 4. Of the three numbers whose average is 45, the first is half of the sum of the others. The first number is: 
   A.) 45
   B.) 51
   C.) 59
   D.) 49

Answer: Option 'A'

45

  • 5. The average age of father and his two sons is 27 Years. Five years ago, the average age of the two sons was 12 Years. If the difference between the ages of the two sons is four years, what is the present age of the father? 
   A.) 42
   B.) 47
   C.) 48
   D.) 49

Answer: Option 'B'

The total present age of father and two sons is 3S27 = 81 yrs
The total present age of sons is (12+5) X 2 = 34Years
so, present age of father is 81 - 34 = 47 yrs

  • 6. The average age of father and his two sons is 27 Years. Five years ago, the average age of the two sons was 12 Years. If the difference between the ages of the two sons is four years, what is the present age of the father? 
   A.) 42
   B.) 47
   C.) 48
   D.) 49

Answer: Option 'B'

The total present age of father and two sons is 3S27 = 81 yrs
The total present age of sons is (12+5) X 2 = 34Years
so, present age of father is 81 - 34 = 47 yrs

  • 7. There were 45 students in a hostel, if the numbers of students increased by 7, the expenses of the mess were increased by Rs. 39 per day while the average expenditure per head diminished by Re.1. What is the original expenditure of the mess? 
   A.) Rs. 562
   B.) Rs. 624
   C.) Rs. 1950
   D.) Rs. 585

Answer: Option 'D'

Let the original expenditure be Rs.x
Original average expenditure = X/45
New average expenditure = (x+39)/52
So (x/45) - ((x+39) / 52) = 1  so x = 585
so, original expenditure is Rs 585

  • 8. There were 45 students in a hostel, if the numbers of students increased by 7, the expenses of the mess were increased by Rs. 39 per day while the average expenditure per head diminished by Re.1. What is the original expenditure of the mess? 
   A.) Rs. 562
   B.) Rs. 624
   C.) Rs. 1950
   D.) Rs. 585

Answer: Option 'D'

Let the original expenditure be Rs.x
Original average expenditure = X/45
New average expenditure = (x+39)/52
So (x/45) - ((x+39) / 52) = 1  so x = 585
so, original expenditure is Rs 585

  • 9. Of three numbers, the third is twice the second and the second is 4 times the first. If their average is 78, the smallest of the three numbers is: 
   A.) 15
   B.) 21
   C.) 17
   D.) 18

Answer: Option 'D'

Let first number be x. 
So,2nd no. = 4x & 3rd no.=8x.
So,x+4x+8x=78 × 3 = 234.
13x = 234 
x = 234/13 
Hence,smallest Number x=18.

  • 10. Of three numbers, the third is twice the second and the second is 4 times the first. If their average is 78, the smallest of the three numbers is: 
   A.) 15
   B.) 21
   C.) 17
   D.) 18

Answer: Option 'D'

Let first number be x. 
So,2nd no. = 4x & 3rd no.=8x.
So,x+4x+8x=78 × 3 = 234.
13x = 234 
x = 234/13 
Hence,smallest Number x=18.

  • 11. If the average of seven numbers is 35. If one is included. The average become 40. The included number is: 
   A.) 70
   B.) 75
   C.) 65
   D.) 80

Answer: Option 'B'

75

  • 12. If the average of seven numbers is 35. If one is included. The average become 40. The included number is: 
   A.) 70
   B.) 75
   C.) 65
   D.) 80

Answer: Option 'B'

75

  • 13. Out of 12 employs of a bank, one employ retires and his place, a new employ of age 24 years joins as a result average age of employs reduces by 4 years. The age of the retired employ is: 
   A.) 72
   B.) 62
   C.) 64
   D.) 71

Answer: Option 'A'

72

  • 14. Out of 12 employs of a bank, one employ retires and his place, a new employ of age 24 years joins as a result average age of employs reduces by 4 years. The age of the retired employ is: 
   A.) 72
   B.) 62
   C.) 64
   D.) 71

Answer: Option 'A'

72

  • 15. A man covered a certain distance at a speed of 8 Kmph and returned at a speed of 4 Kmph. Find the average speed of whole journey? 
   A.) 3 ¾ Kmph
   B.) 5 1/3 Kmph
   C.) 4 ¼ Kmph
   D.) 2 ¼ Kmph

Answer: Option 'B'

5 1/3 Kmph

  • 16. A man covered a certain distance at a speed of 8 Kmph and returned at a speed of 4 Kmph. Find the average speed of whole journey? 
   A.) 3 ¾ Kmph
   B.) 5 1/3 Kmph
   C.) 4 ¼ Kmph
   D.) 2 ¼ Kmph

Answer: Option 'B'

5 1/3 Kmph

  • 17. The average of first five odd numbers is?
   A.) 5
   B.) 4
   C.) 4.5
   D.) 5.2

Answer: Option 'A'

5

  • 18. The average of first five odd numbers is?
   A.) 5
   B.) 4
   C.) 4.5
   D.) 5.2

Answer: Option 'A'

5

  • 19. The average temperature for Monday, Tuesday and Wednesday was 41 c. the average temperature for Tuesday, Wednesday and Thursday was 42 c. If the temperature on Thursday be 43 c, what was the temperature on Monday?
   A.) 41 c
   B.) 39 c
   C.) 40 c
   D.) 42 c

Answer: Option 'C'

Answer: Option 'C'

  • 20. The average temperature for Monday, Tuesday and Wednesday was 41 c. the average temperature for Tuesday, Wednesday and Thursday was 42 c. If the temperature on Thursday be 43 c, what was the temperature on Monday?
   A.) 41 c
   B.) 39 c
   C.) 40 c
   D.) 42 c

Answer: Option 'C'

Answer: Option 'C'

  • 21. A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
   A.) Rs. 2050
   B.) Rs. 2100
   C.) Rs. 1950
   D.) Rs. 2200

Answer: Option 'B'

Total expenditure for the first 3 months = 3 × 1600 = 4800
Total expenditure for 4 months = 4 × 1550 = 6200
Total expenditure for 5 months = 5 × 1800 = 9000
Total expenditure and saving (which is income for one year)
= 4800 + 6200 + 9000 + 5200 = Rs. 25200
So, Average monthly income = 25200/12  =  Rs. 2100

  • 22. A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
   A.) Rs. 2050
   B.) Rs. 2100
   C.) Rs. 1950
   D.) Rs. 2200

Answer: Option 'B'

Total expenditure for the first 3 months = 3 × 1600 = 4800
Total expenditure for 4 months = 4 × 1550 = 6200
Total expenditure for 5 months = 5 × 1800 = 9000
Total expenditure and saving (which is income for one year)
= 4800 + 6200 + 9000 + 5200 = Rs. 25200
So, Average monthly income = 25200/12  =  Rs. 2100

  • 23. The average temperature for Monday, Tuesday and Wednsday is 36.3 degrees C. The average temperature for Tuesday, Wednesday and Thursday is 36.7 degrees C. if Monday's temperature recorded as 39 degrees c, find the Thursday's temperature ? 
   A.) 40.2º C
   B.) 40.4º C
   C.) 41.4º C
   D.) 39.2º C

Answer: Option 'A'

MOn + Tue + wed Temperature  =  3 × 36.3 = 108.9
Tue + wed Temperature = 108.9 - 39 = 69.9
Tue + wed + Thu temperature = 3 × 36.7 = 110.1
So, Thursday's temperature = 110.1 - 69.9 = 40.2º C

  • 24. The average temperature for Monday, Tuesday and Wednsday is 36.3 degrees C. The average temperature for Tuesday, Wednesday and Thursday is 36.7 degrees C. if Monday's temperature recorded as 39 degrees c, find the Thursday's temperature ? 
   A.) 40.2º C
   B.) 40.4º C
   C.) 41.4º C
   D.) 39.2º C

Answer: Option 'A'

MOn + Tue + wed Temperature  =  3 × 36.3 = 108.9
Tue + wed Temperature = 108.9 - 39 = 69.9
Tue + wed + Thu temperature = 3 × 36.7 = 110.1
So, Thursday's temperature = 110.1 - 69.9 = 40.2º C

  • 25. The average age of a college is 21.8 years. If the average age of students of college is 24.2 years and Average age of lecturers of college is 20.6 years. Find the ratio of the number of students to that of Lecturers? 
   A.) 2:1
   B.) 2:3
   C.) 3:2
   D.) 1:2

Answer: Option 'D'

1:2

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