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Mathmetics

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

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Q151.

The ratio between the profit and the sale price of an article is 1 : 5. What is the ratio between the sale and the cost price of that article ?

1)	4 : 5	2)	5 : 4
3)	3 : 2	4)	Data Inadequate
5)	None of these

Answer : 5 : 4
Explanation :

C.P. = S.P. - Profit

or C.P. = 5 -1 = 4

or S.P. : C.P. = 5 : 4

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Q152.

A sum was put at a certain rate of interest for 5 years. Had it been put at 2% higher rate, it would have fetched Rs. 72 more. What is the sum ?

1)	Rs. 4,250	2)	Rs. 4,500
3)	Rs. 6,400	4)	Rs. 7200
5)	None of these

Answer : Rs. 7200
Explanation :

We know that Sum = (S.I X 100 )/ R X T

= (Diff. in S.I X 100 ) / Diff. in rate X Time

= (72 X100)/ 2 X 5 = Rs. 7200.

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Q153.

In what proportion should a milkman mix milk at Rs.2.40 per litre and Rs.3.60 per litre to make a mixture worth Rs.2.50 per litre ?

1)	5: 17	2)	1:11
3)	11:1	4)	2:3
5)	None of these

Answer : 11:1
Explanation :

By alligation method :-

2.40 3.60

2.50

3.60 - 2.50 2.50 - 2.40

= 1.10 10

So, Ratio will be 11 : 1.

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Q154.

A river is flowing at 2 kmph. It takes a man twice as long to row up as, to row down the river. What is the rate (in km/hr) of the man in still water ?

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

Answer : 6
Explanation :

Let,speed of boat man be x kmph.

So, speed in down stream =(x+2) kmph. and speed in up-stream = (x-2) kmph.

Since, distance is constant for both case ,

the equation = 2(x-2) = (x+2)

or 2x-4 = x+2

or x= 6 kmph

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Q155.

The speed of a car increases by 2 km after every hour. If the distance travelled in the first hour was 35 km. What was the total distance travelled in 12 hours ?

1)	456 km	2)	482 km
3)	548 km	4)	552 km
5)	None of these

Answer : 552 km
Explanation :

Given, the first term, a = 35, common difference, d = 2 and total number of terms, (n) = 12.

The sum of this series will be the total distance travelled.

Sum, S_n= n/2[2a + (n - 1) d] = 6 [70 + 11 x 2] = 552 km.

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Q156.

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)	9	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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Q157.

The cost of 16 pens and 12 pencils is Rs. 720. What is the cost of 20 pens and 15 pencils ?

1)	Rs.800	2)	Rs.840
3)	Rs. 880	4)	Rs.900
5)	None of these

Answer : Rs.900
Explanation :

Let, the price of the pen be �x� and that of a pencil be �y�.

16x + 12y = 720 or (16x) X 5/4 + 12y X 5/4 = 720 X 5/4

or 20x + 15y = 900

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Q158.

The ratio of the sum and the difference of two numbers is 3: 1. Then what is the ratio of these two numbers ?

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

Answer : 2 : 1
Explanation :

Let, the number be �x� and �y�

So, (x+y)/(x-y) = 3/1

or x + y = 3x - 3y

or 2x = 4y

or x:y = 2:1

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Q159.

The sum of two numbers is 28 and their difference is 4. What is the product of the two numbers ?

1)	184	2)	192
3)	196	4)	212
5)	None of these

Answer : 192
Explanation :

(x + y)² = (x - y)² + 4xy

or x + y = 28, x - y = 4

or 4xy = (28)² - (4)²

or 4xy = (28 + 4) (28 - 4)

or xy = = 32 x 6 = 192

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Q160.

A,B and C have to distribute Rs.1200 among themselves. A and C together have Rs. 700 and B and C have Rs.800. How much amount does C have ?

1)	Rs.400	2)	Rs.500
3)	Rs.600	4)	Rs.300
5)	None of these

Answer : Rs.300
Explanation :

Given, A + B + C = 1200

or A + B + 2C = 700 + 800 = 1500

or 1200 - C + 2C = 1500

or C = 1500 - 1200 = 300

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Previous 1 2...13 14 151617 18 19...63 64 Next

Mathmetics

Q151.

The ratio between the profit and the sale price of an article is 1 : 5. What is the ratio between the sale and the cost price of that article ?

Q152.

A sum was put at a certain rate of interest for 5 years. Had it been put at 2% higher rate, it would have fetched Rs. 72 more. What is the sum ?

Q153.

In what proportion should a milkman mix milk at Rs.2.40 per litre and Rs.3.60 per litre to make a mixture worth Rs.2.50 per litre ?

Q154.

A river is flowing at 2 kmph. It takes a man twice as long to row up as, to row down the river. What is the rate (in km/hr) of the man in still water ?

Q155.

The speed of a car increases by 2 km after every hour. If the distance travelled in the first hour was 35 km. What was the total distance travelled in 12 hours ?

Q156.

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:

Q157.

The cost of 16 pens and 12 pencils is Rs. 720. What is the cost of 20 pens and 15 pencils ?

Q158.

The ratio of the sum and the difference of two numbers is 3: 1. Then what is the ratio of these two numbers ?

Q159.

The sum of two numbers is 28 and their difference is 4. What is the product of the two numbers ?

Q160.

A,B and C have to distribute Rs.1200 among themselves. A and C together have Rs. 700 and B and C have Rs.800. How much amount does C have ?

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