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- Question
- What least number must be subtracted from 1936, so that the remainder when divided by 9, 10, 15 will leave in each case the same remainder 7?
Options- A. 46
- B. 53
- C. 39
- D. 44
- Correct Answer
- 39
ExplanationThe L.C.M of 9, 10, 15 = 90
On dividing 1936 by 90, the remainder = 46
But a part of this remainder = 7
Hence, the two numbers = 46 - 7 = 39. - 1. The average age of 5 member of a committee is the same is it was 3 years ago ,because an old member has been replaced by a new member . the difference between the age of old and new member is?
Options- A. 2 years
- B. 4 years
- C. 8 years
- D. 15 years Discuss
- 2. The average age of 11 players of a cricket is decreased by two month when two of them aged 17 years and 20 years are replaced by two reserves . the average of the reserves is?
Options- A. 17 years 1 month
- B. 17 years 7 month
- C. 17 years 11 months
- D. 18 years 3 months Discuss
- 3. The average of A and B is 20 years. If C were to replace A, the average would be 19 and if C were to replace B, the Average would be 21. What are the ages of A, B and C?
Options- A. 22, 18, 20
- B. 18, 22, 20
- C. 20, 22, 18
- D. 18, 20, 22 Discuss
- 4. The average of four consecutive numbers A, B, C, and D is 49.5. What is the product of B and D?
Options- A. 2499
- B. 2352
- C. 2450
- D. 2550 Discuss
- 5. A cricketer had a mean score of 60 runs in 10 innings. Find out how many runs are to be score in the eleventh innings to raise the mean score to 62?
Options- A. 80
- B. 81
- C. 83
- D. 82 Discuss
- 6. If 47a + 47b = 5452, what is the average of a and b?
Options- A. 116
- B. 23.5
- C. 96
- D. 58 Discuss
- 7. The average salary per head of all workers of an institution is ? 60. The average salary per head of 12 officers is ? 400. The average salary per head of the rest is ? 56. Then, the total number of workers in the institutions?
Options- A. 1030
- B. 1032
- C. 1062
- D. 1060 Discuss
- 8. The average weight of a class of 15 boys and 10 girls is 38.4 kg. If the average weight of the boys is 40 kg, then what is the average weight of the girls?
Options- A. 36.5 kg
- B. 35 kg
- C. 36 kg
- D. 35.6 kg Discuss
- 9. A car travels a certain distance from town A to town B at the speed of 42 km/h and from town B to town A at a speed of 48 km/h. What is the average speed of the car?
Options- A. 45 km/h
- B. 46 km/h
- C. 44 km/h
- D. Cannot be determind Discuss
- 10. The average of four positive integers is 73.5. The highest integer is 108 and the lowest integer is 29, the difference between the remaining two integers is 15. Which of the following is the smaller of the remaining two integers?
Options- A. 80
- B. 86
- C. 73
- D. Cannot be determind Discuss
More questions
Correct Answer: 15 years
Explanation:
Increase in sum of age during 3 years = 3 x 5 years
= 15 years
So , the difference between ages of old and new member is 15 years
Correct Answer: 17 years 7 month
Explanation:
Decrease in sum of age = 11 x 2 months
= 1 year 10 months
Total age of reserves = (17 + 20 ) years - (1 year 10 month)
= 35 years 2 months
Average age of the reserves = (35 years 2 months ) / 2
= 17 years 7 months
Correct Answer: 20, 22, 18
Explanation:
Let a, b, c are the ages of A, B and C respectively
a + b = 2 X 20 = 40 ...(1)
b + c = 2 x 19 = 38 ...(2)
c + a = 2 x 21 = 42 ...(3)
Adding all the 3 equalities
2a + 2b + 2c = 120
a + b + c = 60 --- (4)
From eq. (2) and (4)
a = 22
From eq. (1) and (4)
b = 18
From eq. (4)
c= 20
? Age of A = 22 years
Age of B = 18 years
Age of C = 20 years
Correct Answer: 2499
Explanation:
Let the numbers A, B, C, and D are N , N+1, N + 2 and N + 3, respectively.
According to the question,
[N + (N+1) + (N+2) + (N+3)] / 4 = 49.5
? 4N + 6 = 4 x 49.5
? 4N = 198 - 6 ? N = 192/4
? N = 48
The required product = B x D
= (N + 1) x (N + 3)
= (48 +1) (48 +3 )
= 49 x 51
= 2499
Correct Answer: 82
Explanation:
Here, n = 10, a = 60, b = 62
Number of runs scored in 11th inning
= n (b - a) + b
= 10 (62 - 60) + 62
= 20 + 62 = 82
Correct Answer: 58
Explanation:
47(a + b) = 5452
? a + b = 5452/47 = 116
? Average value = (a + b)/2
= 116/2
= 58
Correct Answer: 1032
Explanation:
Let The total number of workers = N
According To the question,
60N = 12 x 400 + 56 (N - 12)
? 60N - 56N = 4800 - 672
? 4N = 4128
? N = 1032
Correct Answer: 36 kg
Explanation:
Given that, number of boys (n1) = 15
Numbers of girls (n2)= 10
Average weight of boys and girls = 38.4 kg
Average of boys = 40 kg
Let average of girls be a2
By formula, average = (na1 + n2 a2) / (n1 + n2)
? 38.4 = (15(40) + 10 x a2)/(15 + 10)
? 38.4 x 25 = 600+ 10a2
? a2= (960 - 600)/10 = 360/10 = 36 kg
Correct Answer:
Explanation:
If two equal distance are covered at different speeds at A km/h and B km/h respectively, then
Average speed during the whole journey = 2AB/(A + B) km/h
? Average speed of the car = (2 x 42 x 48) / (42 + 48)
= (2 x 42 x 48)/90
= 44.8 km/h
Correct Answer:
Explanation:
Let one integer be x.
? Other ingeger x + 15
According to the question,
29 + x + x + 15+ 108 = 4 x 73.5
? 2x + 152 = 294
? 2x = 294 - 152 = 142
? x = 142/2 = 71
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