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- Question
Which of the following has the most number of divisors?
Options- A. 99
- B. 101
- C. 176
- D. 182
- Correct Answer
- 176
Explanation
99 = 1 x 3 x 3 x 11101 = 1 x 101
176 = 1 x 2 x 2 x 2 x 2 x 11
182 = 1 x 2 x 7 x 13
So, divisors of 99 are 1, 3, 9, 11, 33, .99
Divisors of 101 are 1 and 101
Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176
Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.
Hence, 176 has the most number of divisors.
- 1. The speed of three cars in the ratio of 2 : 3 : 4 Find the ratio between the time taken by these cars to cover the same distance?
Options- A. 2 : 3 : 4
- B. 4 : 3 : 2
- C. 4 : 3 : 6
- D. 6 : 4 : 3 Discuss
- 2. Two partners invest Rs 12500 and Rs 8500 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets Rs 240 more than the other, find the total profit made in the business.
Options- A. 3250
- B. 4050
- C. 3550
- D. 3150 Discuss
- 3. 30% of 500 rupees is?
Options- A. Rs. 180
- B. Rs. 150
- C. Rs. 120
- D. Rs. 240 Discuss
- 4. If A : B = 2 : 3, B : C = 5 : 7 and C : D = 3 : 10, then what is A : D equal to?
Options- A. 1 : 7
- B. 2 : 7
- C. 1 : 5
- D. 5 : 1 Discuss
- 5. A Shopkeeper charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay's the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of (x-y) is:
Options- A. 0
- B. -2
- C. -4
- D. 5 Discuss
- 6. If P : Q = 7 : 5, then what is the value of (5P - 2Q) : (3P + 2Q)?
Options- A. 5/4
- B. 6/5
- C. 25/31
- D. 31/42 Discuss
- 7. A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?
Options- A. 52%
- B. 64%
- C. 84%
- D. 77% Discuss
- 8. 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
- 9. 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
- 10. 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
More questions
Correct Answer: 6 : 4 : 3
Explanation:
Ratio of Speed = 2 : 3 : 4
Ratio of time taken = (1/2) : (1/3) : (1/4) = 6 : 4 : 3
Correct Answer: 3150
Explanation:
Clearly, If 60 % is equally divided then remaining 40% of total profit will be divided between 2 persons A and B in ratio of (profit of A) : (profit of B)= 12,500 : 8500 = 125 : 85 = 25:17
now difference in amount = 25-17 = 8 this difference = 240
therefore 40% of total profit = 240*(25+17)/(25-17) = 1260
? 100% profit = 1260 / 40 × 100 = 3150
Correct Answer: Rs. 150
Explanation:
Given 30% of 500
Hence, 30% of Rs. 500 = Rs. 150.
Correct Answer: 1 : 7
Explanation:
Here, A : B = 2 : 3, B : C = 5 : 7 and C : D = 3 : 10
? A/D = (A/B) x (B/C) x (C/D)
= (2/3) x (5/7) x (3/10)
= 1/7
? A : D = 1 : 7
Correct Answer: -2
Explanation:
and
x = 4 and y = 6
x-y = -2
Correct Answer: 25/31
Explanation:
Given, P/Q = 7/5
? (5P - 2Q) / (3P + 2Q) = (5 x 7 - 2 x 5) / (3 x 7 + 2 x 5)
= (35 - 10) / (21 + 10)
= 25/31
Correct Answer: 84%
Explanation:
Let the number be 'x'
Then, according to the given data,
=
= 84%
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: 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: 12.8 lit
Explanation:
This can be solved as
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