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- Question
The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?
Options- A. 10
- B. 5
- C. 50
- D. 25
- Correct Answer
- 5
ExplanationLet the larger number be p
Then, smaller number = 1/6 x p = p/6
Given difference between two numbers = 25
p - p/6 = 25
5p/6 = 25
5p = 150
p = 30
Then, p/6 = 30/6 = 5
Hence, larger number = 30 and smaller number = 5 which makes the difference = 25.
- 1. The ratio of two positive numbers is 3 : 5 and the average of the number is 48. What is the product of numbers?
Options- A. 3365
- B. 2160
- C. 1854
- D. 1632 Discuss
- 2. On dividing a number by 96, we get 271 as quotient and 0 as remainder. On dividing the same number by 95, what will be the remainder ?
Options- A. 87
- B. 59
- C. 92
- D. 81 Discuss
- 3. 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ?
Options- A. 42
- B. 54
- C. 46
- D. 58 Discuss
- 4. Find the least number with which 16200 should be multiplied, to make it a perfect cube ?
Options- A. 45
- B. 48
- C. 360
- D. 36 Discuss
- 5. The sum of one-half, one-third and one-fourth of a number exceeds the number by 22. The number is
Options- A. 264
- B. 284
- C. 215
- D. 302 Discuss
- 6. A text book of mathematics cost 2 Rs/- more than a text book of literature. If 5 literature books cost 38 Rs/- more than 3 mathematics books, what is the cost of each literature book?
Options- A. 44
- B. 22
- C. 24
- D. 11 Discuss
- 7. The largest 4 digit number exactly divisible by 88 is
Options- A. 8888
- B. 9999
- C. 9944
- D. 9988 Discuss
- 8. A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :
Options- A. 253
- B. 263
- C. 273
- D. 283 Discuss
- 9. If two painters can complete two rooms in two hours, how many painters would it take to do 18 rooms in 6 hours?
Options- A. 2 painters
- B. 6 painters
- C. 4 painters
- D. None Discuss
- 10. A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ?
Options- A. 2 hrs 50 min
- B. 3 hrs 25 min
- C. 3 hrs
- D. 2 hrs 5 min Discuss
Problems on Numbers
Search Results
Correct Answer: 2160
Explanation:
Let the number be 3p and 5p
ATQ,
8p = 2 x 48
p = 96/8
p = 12
The numbers are 36 and 60.
Hence, the product of the numbers = 36 x 60 = 2160.
Correct Answer: 81
Explanation:
Number = 271 x 96 + 0 = 26016
=> 95) 26016 (273
25935
--------
81
Required number = 81.
Correct Answer: 42
Explanation:
Let x and y be the two parts of 96.
x/7 = y/9 => x:y = 7:9
=> The smallest part is = 7/16 x 96 = 42.
Correct Answer: 45
Explanation:
16200 =
A perfect cube has a property of having the indices of all its prime factors divisible by 3.
Required number = = 9x5 = 45.
Correct Answer: 264
Explanation:
Let the number be 'x'. Then, from given data
x/2 + x/3 + x/4 = x+22
13x/12 = x+22
x = 264
Correct Answer: 22
Explanation:
Let each literature text book cost be Rs. X
Then, cost of mathematics text book = Rs. (X + 2)
ATQ,
5X = 38 + 3(X + 2)
5X = 38 + 3X + 6
2X = 44
X = 22.
Therefore, cost of each literature text book = Rs. X = Rs. 22.
And that of masthematics = X + 2 = Rs. 24.
Correct Answer: 9944
Explanation:
To find the largest 4 digit number exactly divisible by 88,
We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.
The largest possible 4 digit number is 9999
Now,
88) 9999 (113
88
_______
119
88
_______
319
264
_______
55
_______
Therefore, the largest 4 digit number exactly divisible by 88 is given by
9999 - 55 = 9944.
Correct Answer: 253
Explanation:
Let the middle digit be x.
Then, 2x = 10 or x = 5. So, the number is either 253 or 352
Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit.
Hence, required number = 253.
Correct Answer: 6 painters
Explanation:
Two painters can complete two rooms in two hours.So 18 rooms can be painted in 6 hrs by 6 painters
Correct Answer: 3 hrs
Explanation:
Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.
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