Average problems
- 1. A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?
Options- A. 34
- B. 36
- C. 35
- D. 37 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 37
Explanation:
16x + 85 = 17(x + 3)
x = 34 + 3 = 37
- 2. Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9?
Options- A. 2
- B. 1.5
- C. 1.25
- D. 2.5 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator
Correct Answer: 1.5
Explanation:
Given Five boxes of bananas sell for Rs. 30.
=> 1 Box of Bananas for = 30/5 = Rs. 6
Then, for Rs. 9
=> 9/6 = 3/2 = 1.5
Hence, for Rs. 9, 1.5 box of bananas can buy.
- 3. Ian has 14 boxes of paper and divides them evenly between 4 coworkers. How many whole boxes did each coworker get?
Options- A. 2
- B. 2.5
- C. 3
- D. 3.5 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 3
Explanation:
Given number of boxes = 14
Number of workers = 4
Now, number of whole boxes per worker = 14/4 = 3.5
Hence, number of whole boxes per each coworker = 3
- 4. There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was :
Options- A. 20
- B. 35
- C. 54
- D. 40 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, IT Trainer
Correct Answer: 20
Explanation:
Numbers of students in section A = x
? Numbers of students in section B and C = (100 ? x)
? x 70 + (100 ? x) 87.5 = 84 100
=> 70x + 87.5 100 ? 87.5x = 8400
=> 8750 ? 17.5x = 8400
=> 17.5x = 8750 ? 8400 => x = 20.
- 5. Third proportion of 10 and 20 is
Options- A. 30
- B. 40
- C. 25
- D. 20 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 40
Explanation:
The third proportional of two numbers p and q is defined to be that number r such that
p : q = q : r.
Here, required third proportional of 10 & 20, and let it be 'a'
=> 10 : 20 = 20 : a
10a = 20 x 20
=> a = 40
Hence, third proportional of 10 & 20 is 40.
- 6. Navaneet has thrice the money Poonam has and Poonam has 25% more money than Hebah. If the average money of the three is Rs. 350, What is the amount that Navaneet has ?
Options- A. Rs. 175
- B. Rs. 220.75
- C. Rs. 218.55
- D. Rs. 656.25 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs. 656.25
Explanation:
Assume Hebah has Rs. M
Since 25% more money at Poonam
=> Money at Poonam = M + (25% of M)
=> Money at Poonam = M + 0.25M = Rs. 1.25M
Money with Navaneet is thrice the money with Poonam,
=> Money at Navaneet = 3(1.25M) = Rs. 3.75M
Now, sum of all Money = (M + 1.25M + 3.75M) = Rs. 6M
But given the average of the money is Rs. 350
=> 6M/3 = 350
=> 2M = 350
=> M = 350/2 = Rs. 175
=> Amount of money Navaneet has = Rs. 3.75M = 3.75 x 175 = Rs. 656.25.
- 7. The average marks of a student in 7 subjects is 85. His average marks in 6 subjects except English is 83. What is his marks in English ?
Options- A. 97
- B. 98
- C. 92
- D. 93 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 97
Explanation:
Marks in English = 85×7 ? 83×6
= 595 ? 498
= 97
- 8. Find the average of first 50 natural numbers?
Options- A. 25
- B. 25.5
- C. 26
- D. 26.5 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 25.5
Explanation:
We Know that sum of the n natural numbers =
Then sum of 50 natural numbers= = 1250
Average of the 50 natural numbers = = 25.5
- 9. P, Q, R, S, T and U are six consecutive odd numbers and their average is 52. What is the product of P and U ?
Options- A. 2212
- B. 2154
- C. 2349
- D. 2679 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 2679
Explanation:
Let x, x+2, x+4, x+6, x+8 and x+10 are six consecutive odd numbers.
Given that their average is 52
Then, x + x+2 + x+4 + x+6 + x+8 + x+10 = 52×6
6x + 30 = 312
x = 47
So Product = 47 × 57 = 2679
- 10. The average age of a class is 19 years. While the average age of girls is 18 and that of boys is 21. If the number of girls in the class is 16, Find the number of Boys in the class?
Options- A. 12
- B. 10
- C. 8
- D. 6 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 8
Explanation:
Let the number of boys = x
From the given data,
=> [21x + 16(18)]/(x+16) = 19
=> 21x - 19x = 19(16) - 16(18)
=> 2x = 16
=> x = 8
Therefore, the number of boys in the class = 8.
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