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Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

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Q251.

Salaries of A and B are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is B's salary ?

1)	Rs.17,000	2)	Rs.20,000
3)	Rs.25,500	4)	Rs.38,000
5)	None of these

Answer : Rs.38,000
Explanation :

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Q252.

In a mixture of 60 liters, the ratio of milk and water 2 : 1. How many liters of water must be added in to the mixture so that the ratio became 1 : 2 ?

1)	20 litres	2)	30 litres
3)	40 litres	4)	60 litres
5)	None of these

Answer : 60 litres
Explanation :

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Q253.

Two numbers are respectively 20% and 50% more than a third number. What is the ratio of the two numbers ?

1)	2 : 5	2)	3 : 5
3)	4 : 5	4)	6 : 7
5)	None of these

Answer : 4 : 5
Explanation :

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Q254.

What is the sum of two consecutive even numbers, the difference of whose squares is 84 ?

1)	24	2)	38
3)	42	4)	48
5)	Non of these

Answer : 38
Explanation :

Let, the numbers be x and x + 2.

Then, (x + 2)² - x² = 84

or 4x + 4 = 84 or 4x = 80

or x = 20. The required sum = x + (x + 2) = 2x + 2 = 42.

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Q255.

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. What is the number ?

1)	235	2)	253
3)	273	4)	352
5)	None of these

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 digits is smaller than the unit's digit.

Hence, required number = 253.

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Q256.

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. What is the number ?

1)	18	2)	24
3)	42	4)	81
5)	None of these

Answer : 24
Explanation :

Let, the ten's and unit digit be x and y respectively.

So, xy = 8 and the number be 10x+y

When 18 is added, the number be 10x+ y +18.

Then, 10x + y + 18 = 10 y + x

or 9x - 9y = -18 x - y = - 2

We know that (x+y)²=( x-y)² + 4xy = (-2)² + 4 x 8 =36

or x+y = 6

By solving we get x = 2 and y = 4

Thus, the number is 24.

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Q257.

A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by-

1)	3	2)	5
3)	10	4)	11
5)	None of these

Answer : 11
Explanation :

Let, the ten's digit be x and unit's digit be y.

Then, number = 10x + y.

Number obtained by interchanging the digits = 10y + x.

(10x + y) + (10y + x) = 11(x + y), which is divisible by 11

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Q258.

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

1)	4	2)	8
3)	12	4)	14
5)	None of these

Answer : 8
Explanation :

Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.

Let, ten's and unit's digits be 2x and x respectively.

Then, (10 x 2x + x) - (10x + 2x) = 36

or 9x = 36

or x = 4.

So, required difference = (2x + x) - (2x - x) = 2x = 8.

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Q259.

What will be remainder when (67⁶⁷ + 67) is divided by 68 ?

1)	1	2)	53
3)	66	4)	67
5)	None of these

Answer : 66
Explanation :

(xⁿ + 1) will be divisible by (x + 1) only when n is odd.

(67⁶⁷ + 1) will be divisible by (67 + 1)

(67⁶⁷ + 1) + 66, when divided by 68 will give 66 as remainder.

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Q260.

The product of two numbers is 120 and the sum of their squares is 289. What is the The sum of the number ?

1)	19	2)	21
3)	23	4)	45
5)	None of these

Answer : 23
Explanation :

Let, the numbers be x and y.

Then, xy = 120 and x² + y² = 289.

(x + y)² = x² + y² + 2xy = 289 + (2 x 120) = 529

x + y = 529 = 23.

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Previous 1 2...23 24 252627 28 29...63 64 Next

Mathmetics

Q251.

Salaries of A and B are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is B's salary ?

Q252.

In a mixture of 60 liters, the ratio of milk and water 2 : 1. How many liters of water must be added in to the mixture so that the ratio became 1 : 2 ?

Q253.

Two numbers are respectively 20% and 50% more than a third number. What is the ratio of the two numbers ?

Q254.

What is the sum of two consecutive even numbers, the difference of whose squares is 84 ?

Q255.

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. What is the number ?

Q256.

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. What is the number ?

Q257.

A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by-

Q258.

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

Q259.

What will be remainder when (67⁶⁷ + 67) is divided by 68 ?

Q260.

The product of two numbers is 120 and the sum of their squares is 289. What is the The sum of the number ?

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Mathmetics

Q251.

Salaries of A and B are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is B's salary ?

Q252.

In a mixture of 60 liters, the ratio of milk and water 2 : 1. How many liters of water must be added in to the mixture so that the ratio became 1 : 2 ?

Q253.

Two numbers are respectively 20% and 50% more than a third number. What is the ratio of the two numbers ?

Q254.

What is the sum of two consecutive even numbers, the difference of whose squares is 84 ?

Q255.

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. What is the number ?

Q256.

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. What is the number ?

Q257.

A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by-

Q258.

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

Q259.

What will be remainder when (6767 + 67) is divided by 68 ?

Q260.

The product of two numbers is 120 and the sum of their squares is 289. What is the The sum of the number ?

Study Materials +

Quick Links

Contact Us

Location

What will be remainder when (67⁶⁷ + 67) is divided by 68 ?