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- Question
One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ?
Options- A. 550
- B. 575
- C. 625
- D. 700
- Correct Answer
- 700
ExplanationLet number of boys = B
Number of girls = G
From the given data,
1B/3 + 1G/2 = 300
But given B/3 = 100
=> B = 300
G/2 = 300 - 100
G = 200 x 2
=> G = 400
Therefore, total number of students in the college = B + G = 700.
- 1. A jar can 20 litre milk. From the jar, 4 litres milk was taken out and replaced with an equal quantity of water. If 4 litres of the newly formed mixture is taken out of the can, then what is the final quantity of milk left in the can?
Options- A. 14.5 lit
- B. 12.8 lit
- C. 11.6 lit
- D. 10.46 lit Discuss
- 2. 80% of 900 + 162 x 4 x ? = 113 - 99
Options- A. 0.5
- B. 1
- C. 4
- D. 0 Discuss
- 3. Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ?
Options- A. 76.8
- B. 86.8
- C. 78.8
- D. 84.8 Discuss
- 4. If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?
Options- A. 4:3
- B. 2:3
- C. 3:2
- D. 5:3 Discuss
- 5. In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?
Options- A. 625
- B. 525
- C. 425
- D. 325 Discuss
- 6. At an examination in which maximum marks are 500. P got 10% less than Q, Q got 25% more than R and R got 20% less than S. If P got 360 marks what percentage of marks was obtained by S ?
Options- A. 77
- B. 74
- C. 80
- D. 83 Discuss
- 7. A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ?
Options- A. 105
- B. 101
- C. 98
- D. 109 Discuss
- 8. A earns 50% of B's salary, B earns 80% of C's salary. If the total earnings for a month is Rs. 22000, then what is the earning for A ?
Options- A. Rs. 4000
- B. Rs. 4200
- C. Rs. 4400
- D. Rs. 4600 Discuss
- 9. The average of a set of whole numbers is 27.2. when the 20% of the elements are eliminated from the set of numbers then the average become 34. The number of elements in the new set of numbers can be :
Options- A. 27
- B. 35
- C. 52
- D. 63 Discuss
- 10. Each edge of a cube is increased by 20% then the percentage increase in surface area of the cube is :
Options- A. 144%
- B. 40%
- C. 44%
- D. 72.8% Discuss
Percentage problems
Search Results
Correct Answer: 12.8 lit
Explanation:
This can be solved as
Correct Answer: 0.5
Explanation:
80x900/100 + 256 x 4 x ? = 1331 - 99
720 + 1024 x ? = 1232
? = 1232 - 720/1024
? = 512/1024 = 0.5
? = 0.5
Correct Answer: 84.8
Explanation:
Let 'M' be the maximum marks in the examination.
Therefore, Madhu got 32% of M = 32M/100 = 0.32M
And Kumar got 42% of M = 42M/100 = 0.42M.
In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1)
The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2)
Now, Equating (1) and (2), we get
0.1M = 24 => M = 24/0.1 = 240
'M' is the maximum mark and is equal to 240 marks.
We know that Madhu got 32% of the maximum marks.
Therefore, Madhu got 32 x 240/100 = 76.8 marks.
We also know that Madhu got 8 marks less than the cut-off marks.
Therefore, the cut-off marks will be 8 marks more than what Madhu got
= 76.8 + 8 = 84.8.
Correct Answer: 4:3
Explanation:
Let the numbers be p & q
q-p/4 = 4q/6
=> q-4q/6 = p/4
=> 2q/6 = p/4
=> p/q = 4/3
Correct Answer: 525
Explanation:
Given 40% minimum passing marks for boys = 483 + 117 = 600
=> 1% = 600/40
=> 100% = 600 x 100/40 = 1500
Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.
Correct Answer: 80
Explanation:
Let marks obtained by S = M
R's marks = 0.80M
Q's marks = 1.25 (0.80M)
P's marks = (0.90) (1.25) (0.80M)
= 0.9M
But 0.9M = 360
M = ?
M = 400
Hence % of marks obtained by S
= 400/500 x 100 = 80%.
Correct Answer: 105
Explanation:
Let number of pages in a book = p
According to questions
p - [3p/7 + (2/5 x 4p/7)] = 36
= p - 23p/35 = 36
=> 12p = 36 × 35
p = 105
Correct Answer: Rs. 4000
Explanation:
Let C's salary be Rs. x
Then B's salary = 80x/100
=> A's salary = (50/100) * (80x/100) = 40x/100
But given total earnings in a month = 22000
=> x + 80x/100 + 40x/100 = 22000
=> x + 120x/100 = 22000
=> x = 10000
=> A's salary = 40 x 10000/100 = Rs. 4000
Correct Answer: 52
Explanation:
only (c) is correct since it is divisible by 4.
Let the original number of element be x then the new no.of elements will be
So K must be divisible by 4
Since, x = Kx5/4
Correct Answer: 44%
Explanation:
The surface area of a cube = 6 = 6
New Surface area = 6 x 1.44
Therefore, %
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