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Mathmetics

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

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Q161.

A man spends 1/3rd of his salary on food and 2/5th on house rent. Then he saves an amount of Rs. 2000 per month. What is his monthly salary ?

1)	Rs.6500	2)	Rs. 7500
3)	Rs.9000	4)	Rs.12000
5)	None of these

Answer : Rs. 7500
Explanation : Let, the man's income be Rs.x.

Expenditure on food = x/3 and expenditure on house rent = 2x/5

His saving = x - (x/3 + 2x/5) = 4x/15

So,4x/15 = 2000

or x =( 2000 X 15 ) /4 = 7500.

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Q162.

The ratio between the present ages of A and B is 2 : 3 respectively. Four years ago, the ratio between their ages was 5 : 8. respectively. What will be A�s age after 7 years ?

1)	29 yrs	2)	35 yrs
3)	31 yrs	4)	33 yrs
5)	None of these

Answer : 31 yrs
Explanation :

Let, the present ages of A and B be 2x years and 3x years respectively.

So, (2x-4)/(3x-4) = 5/8

or 16x - 32 = 15x -20

or x = 12

Therefore, the Ages of A after 7 years = 2x + 7 = 2 x 12 + 7 = 31 years

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Q163.

Three men or eight boys can do a piece of work in 17 days. How many days will two men and six boys together take to finish the same work ?

1)	9 days	2)	11 days
3)	14 days	4)	12 days
5)	None of these

Answer : 12 days
Explanation :

3 men = 8 boys

2 m = (8/3)x2 = 16/3 boys.

(2 men + 6 boys) = (16/2)+6 boys = 34/3boys

8 boys can complete the work in 17 days

or 34/3boys boys can complete the work in x days

or (34/3) : 8 = 17 : x

or x =(17x8x3)/34 = 12 days

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Q164.

Three- tenth of a number is equal to 36% of another number. If the sum of these two numbers is 88, then what is the value of the smaller number ?

1)	38	2)	40
3)	48	4)	56
5)	None of these

Answer : 40
Explanation :

Let, one number be x.

The other number = (88 - x)

x x 3/10 = (88 - x) x 36/100

= 30x = 3168 - 36x

x = 3168/66 = 48

The smaller number = 88 - 48 = 40

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Q165.

If the total cost of four tube-lights and three bulbs is Rs. 260 and the ratio between the cost of a tube-lights and a bulb is 5 : 2 respectively. What is the total cost one tube-light and six bulbs ?

1)	Rs. 210	2)	Rs. 130
3)	Rs. 180	4)	Rs. 170
5)	None of these

Answer : Rs. 170
Explanation :

Let, the C.P. of 1 tube light be Rs.5x

C.P. of 1 bulb = Rs. 2x

4 x 5x + 3 x 2x = 260

x = 260/26 = 10

C.P. of 1 tube light and 6 bulbs

= 5 x X + 6 x 2 xX

= 5 x 10 + 12 x 10 = Rs.170

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Q166.

Alok spends 23% of an amount of money on an insurance policy, 33% on food, 19% of children�s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much total amount did he spend on food and insurance policy together ?

1)	Rs.3200	2)	Rs.3126
3)	Rs.3136	4)	Rs.3048
5)	None of these

Answer : Rs.3136
Explanation :

Let, the total amount of money with Alok be Rs.x .

x = (504 x 100)/[100 - (23+33+19+16) ]= Rs. 5600

Reqd. amount of money

= ( Rs. 5600 x 56)/100= Rs. 3136

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Q167.

The sum of the present ages of Ram, Shyam and Vijay is 72 years. Also the sum of present ages of Ram and Shyam is 42 years. What is the present age of Vijay ?

1)	30 yrs	2)	24 yrs
3)	18 yrs	4)	36 yrs
5)	None of these

Answer : 30 yrs
Explanation : The present age of Vijay = 72 - 42 = 30 years

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Q168.

A some of money at compound interest amounts to thrice itself in three years. In how man years will it be nine times itself ?

1)	4 years	2)	6 years
3)	8 years	4)	12 years
5)	None of these

Answer : None of these
Explanation : Let, principal be x.It will be 3x after years.

9x will takes another 3 years.

So,total time taken= 3+3 = 6 years.

Short-cut method:

x ------ 3x in 3 years

9x i.e. (3x)² = 3 X 2 = 6 years.

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Q169.

Two numbers are such that their difference, their sum and their product are in the ratio 1:7:24 respectively. What is the product of the two numbers ?

1)	12	2)	24
3)	36	4)	48
5)	None of these

Answer : 48

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Q170.

The income of A,B and C together is Rs.14500 and they spend 60%,65% and 70% of their income respectively. If their savings are in the ratio 14:21:15 . What is the income of B ?

1)	Rs.4000	2)	Rs.4800
3)	Rs.5600	4)	Rs.6000
5)	None of these

Answer : Rs.6000
Explanation : We know that, income - expenditure = saving

Let, their income are 100% individually.

So, A's saving = 100 - 60= 40% ; B's saving = 100 - 65= 35% ; C's saving = 100 - 70= 30%

But their saving ratio are 14:21:15.

Then, A's income , 40% = 14 or 100% =( 14/40) x 100 = 35

B's income , 35% = 21 or 100% =( 21/35) x 100 = 60

C's income , 30% = 15 or 100% =( 15/30) x 100 = 50

So, 35x + 60x + 50x = Rs.14500

or 145x = Rs.14500

or x = 100

Therefore income of B= 100x60 = Rs.6000.

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Previous 1 2...14 15 161718 19 20...63 64 Next

Mathmetics

Q161.

A man spends 1/3rd of his salary on food and 2/5th on house rent. Then he saves an amount of Rs. 2000 per month. What is his monthly salary ?

Q162.

The ratio between the present ages of A and B is 2 : 3 respectively. Four years ago, the ratio between their ages was 5 : 8. respectively. What will be A�s age after 7 years ?

Q163.

Three men or eight boys can do a piece of work in 17 days. How many days will two men and six boys together take to finish the same work ?

Q164.

Three- tenth of a number is equal to 36% of another number. If the sum of these two numbers is 88, then what is the value of the smaller number ?

Q165.

If the total cost of four tube-lights and three bulbs is Rs. 260 and the ratio between the cost of a tube-lights and a bulb is 5 : 2 respectively. What is the total cost one tube-light and six bulbs ?

Q166.

Alok spends 23% of an amount of money on an insurance policy, 33% on food, 19% of children�s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much total amount did he spend on food and insurance policy together ?

Q167.

The sum of the present ages of Ram, Shyam and Vijay is 72 years. Also the sum of present ages of Ram and Shyam is 42 years. What is the present age of Vijay ?

Q168.

A some of money at compound interest amounts to thrice itself in three years. In how man years will it be nine times itself ?

Q169.

Two numbers are such that their difference, their sum and their product are in the ratio 1:7:24 respectively. What is the product of the two numbers ?

Q170.

The income of A,B and C together is Rs.14500 and they spend 60%,65% and 70% of their income respectively. If their savings are in the ratio 14:21:15 . What is the income of B ?

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