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- Question
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
- Correct Answer
- 45
Explanation16200 =
A perfect cube has a property of having the indices of all its prime factors divisible by 3.
Required number = = 9x5 = 45.
- 1. 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
- 2. If 78K928L is divisible by 6, then which of the following can Q and R take ?
Options- A. K=2 & L=3
- B. K=1 & L=4
- C. K=1 & L=2
- D. K=3 & L=3 Discuss
- 3. The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?
Options- A. 12
- B. 15
- C. 17
- D. none of these answers can be determined Discuss
- 4. If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number ?
Options- A. 156
- B. 179
- C. 198
- D. 216 Discuss
- 5. A natural number when increased by 12 equals 160 times its reciprocal. Find the number?
Options- A. 20
- B. 12
- C. 8
- D. 4 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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 Discuss
- 10. 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
Problems on Numbers
Search Results
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: K=1 & L=4
Explanation:
As per divisibility rule a number is divisible by 6 means it should be divisible by 2 and 3
case 1 : the divisibility rule for 2 is the number should be end with even number
in this case R =2 & R=4
case 2 : The divisibility rule for 3 is the sum of numbers should be divisible by 3
so if we take option (2) Q=1 & R=4 the sum is 39
if we take option (3) Q=1 & R=2 the sum is 37
So Option (2) is correct 39 is divided by 3
Correct Answer: none of these answers can be determined
Explanation:
Let the ten's digit be x and unit's digit be y.
Then, (10x + y) - (10y + x) = 63
=> 9 (x - y) = 63
=> x - y = 7.
Thus, none of the numbers can be deermined..
Correct Answer: 216
Explanation:
Let the number be x.
Then, 2/3x-50 = 1/4x +50
=> 5/12x = 90
x = (90 x 12) / 5 = 216
Correct Answer: 8
Explanation:
Let the required number be 'p'.
From the given data,
p + 12 = 160 x 1/p
=> p + 12 = 160/p
=> p(p + 12) = 160
=> P^2 + 12p - 160 = 0
=> p^2 + 20p - 8p - 160 = 0
=> P(p + 20) - 8(p + 20) = 0
=> (p + 20)(p - 8) = 0
=> p = -20 or p = 8
As, given the number is a natural number, so it can't be negative.
Hence, the required number p = 8.
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: 81
Explanation:
Number = 271 x 96 + 0 = 26016
=> 95) 26016 (273
25935
--------
81
Required number = 81.
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: 5
Explanation:
Let 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.
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.
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