###### Advertisements

###### Advertisements

Find the least number by which 77, 175 should be divided to make it a perfect cube number.

#### Options

200

525

15

225

###### Advertisements

#### Solution

**225**

**Explanation:**

77175 = 5 × 15435

= 5 × 5 × 3087

= 5 × 5 × 9 × 343

= 5 × 5 × 3 × 3 × 7 × 7 × 7

We cannot make triplets of 5 and 3, hence the given no. must be divided by 25 × 9 = 225, to make it a perfect cube.

#### RELATED QUESTIONS

Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. The sum of digits of x is

The value of the determination `|("cos" alpha,"sin" alpha , 0),(-"sin" alpha , "cos" alpha , 0),(0,0,1)|` is :

x^{2} sin^{3} dx is equal to:

The differential coefficient of sin^{-1} x w.r.t. cos^{-1 }`sqrt (1-"x"^2)` is :

`(("cos" 30 theta + "i" "sin" 30 theta)^5 ("cos" 20 theta + "i" "sin" 20 theta)^4)/(("cos" theta + "i" "sin" theta)^-4("cos" theta "i" "sin" theta)^6)` is equal to:

The imaginary part of `"1 - i"/"1 + i"` is:

In algebra, we use alphabets such as x, y, z to denote

What is the place (location) value of 5 in 3254710?

If the numbers from 1 to 24, which are divisible by 2 are arranged in descending order, which number will be at 8th place from the bottom?

If `"x"/"y"=4/5`, then the value of `(4/7+(2"y"-"x")/(2"y"+"x"))` is

One-third of one-fourth of a number is 12. Then the number is

The price of 2 trousers and 4 shirts is ₹1,600. With the same amount, one can buy 1 trouser and 6 shirts. If one wants to buy 12 shirts, he has to pay

When 16x^{4 }+ 12x^{3 }− 10x^{2 }+8x +20 is divided by 4x − 3, the quotient and the remainder are, respectively

Three consecutive positive even numbers are such that thrice the first number exceeds double the third by 2, the third number is

Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is ₹700 when there are 25 boarders and ₹600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?

Three wheels can complete 40. 24 and 16 revolutions per minutes respectively. There is a green spot on each wheel that touches the ground at time zero. After how much time, all these spots will simultaneously touch the ground again?

The difference between the place values of two 7s in the numeral 69758472 is

n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4?

What smallest number should be added to 4456, so that the sum is completely divisible by 6?

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is

Let x = (633)^{24} − (277)^{38} + (266)^{54}. What is the unit's digit of x?

The smallest number added to 680621 to make the sum a perfect square is ______.

If the fractions `5/14, 6/11, 7/9, 8/13` and `9/10` are arranged in ascending order of their values, which one will be the fourth?

Five consecutive even integers are such that two times the second integer is ten more than the 5th integer. Find the sum of all five integers.

In an office, there are 108 tables and 132 chairs. If `1/6` of the tables and `1/4` of the chairs are broken, how many people can work in the office if each person requires one table and one chair?

‘A’, ‘B’ and ‘C’ are three consecutive even integers such that four times ‘A’ is equal to three times ‘C’. What is the value of ‘B’?

If 9 mangoes cost as much as 5 oranges, 5 oranges as much as 3 apples, 4 apples as much as 9 pineapples and if 3 pineapples cost ₹ 48, what will a mango cost?

If a + b > c + d and b + c > a + d then it is definite that

2 oranges, 3 bananas and 4 apples taken together cost ₹ 15.00. 3 oranges, 2 bananas and 1 apple cost ₹ 10.00. Then the cost of 3 oranges, 3 bananas and 3 apples cost.

A red light flashes 3 times per minute and a green light flashes 5 times in two minutes at regular intervals. If both the lights start flashing at the same time, how many times do they flash together in each hour?