Quantitative aptitude Question for all banking Bank PO,Clerk,IBPS PO,Railway,SSC,PSUs,IAS,OAS ,C-SAT Exams

Mathmetics

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

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Q161.

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.

View Answer

Q162.

In a school, 3/7 of the students are girls and the rest are boys. 1/4 of the boys are below ten years of the age and 5/6 of the girls are also below ten years of age. If number of students above ten years of age is 500 , find the total number of students in the school ?

1)	1000	2)	1200
3)	1400	4)	2000
5)	None of these

Answer : 1000
Explanation : Let, total numbers of students are x.

Girls = 3x/7. and boys = 1 - 3x/7 = 4x/7.

Below 10 years boys = (4x/7) 1/4 = 4x/28 = x/7

The girls are also below ten years of age = (3x/7) 5/6 = 5x/14

So, above ten years = x - (x/7 + 5x/14) = x- x/2 = x/2

Given, x/2= 500

or x = 1000.

View Answer

Q163.

A vendor sells 20 articles and gets a profit which is equal to cost price of 4 articles. What is his percentage of profit in this transaction ?

1)	20 %	2)	24 %
3)	25 %	4)	33.33 %
5)	None of these

Answer : 20 %
Explanation : Let, C.P of each article is Rs.1/.

So, C.P of 20's articles = Rs.20/ and C.P of 4's articles = Rs.4/ i.e. profit

We know that, S.P = C.P + Profit = 20 + 4 = Rs. 24/

Therefore, % of profit = (4/20) x 100 = 20%

View Answer

Q164.

A vendor sells 20 articles and gets a profit which is equal to selling price of 4 articles. What is the percentage of profit in this transaction ?

1)	20 %	2)	24 %
3)	25 %	4)	33.33 %
5)	None of these

Answer : 25 %
Explanation : Let, S.P of each article is Rs.1/.

So, S.P of 20's articles = Rs.20/ and S.P of 4's articles = Rs.4/ i.e. profit

We, know that C.P = S.P -Profit = 20 - 4 = Rs. 16/

Therefore, % of profit = (4/16) x 100 = 25%

View Answer

Q165.

A number gets reduced to its one-third when 48 is subtracted from it. What is two-thirds of that number ?

1)	24	2)	36
3)	48	4)	72
5)	None of these

Answer : 48
Explanation : Let, the number be x.

So,x-48 = x/3

or x-x/3= 48

or x = 72

Therefore, two-thirds of 72 is 48.

View Answer

Q166.

One third of A�s marks in Arithmetic is equal to half of his marks in English. If he gets 150 marks in the two subjects together, how many marks has he got in English?

1)	30	2)	40
3)	50	4)	60
5)	None of these

Answer : 60
Explanation : Given, A�s marks in Arithmetic is x and A�s marks in English y and x +y=150 ----- (I)

so, x/3 = y/2

or 2x =3y

or 2x - 3y = 0 ------- (II)

Putting the value in both equation, we get y = 60.

View Answer

Q167.

What is the sum of the following expression (1³ + 2³+ 3³ + 4³+ 5³ + 6³ + ��.. + 10³).

1)	2525	2)	2925
3)	3025	4)	3225
5)	None of these

Answer : 3025
Explanation : We know that , the sum of the cube all natural number i.e. 1- n = [(n. n+1)/2]²

The sequence is (1³ + 2³+ 3³ + 4³+ ��.. + 10³)

So, [(10 x 11)/2]² = 3025

View Answer

Q168.

What is value of the given sequence (5³ + 6³ + 7³+��.. + 10³) ?

1)	2295	2)	2425
3)	2595	4)	2925
5)	None of these

Answer : 2925
Explanation : We know that , the sum of the cube all natural number i.e. 1- n = [(n. n+1)/2]²

The sequence is (1³ + 2³+ 3³ + 4³+ ��.. + 10³) - (1³ + 2³+ 3³ + 4³)

So, [(10 x 11)/2]² - [(4x5)/2]² = 3025 -100 = 2925

View Answer

Q169.

The sum of the squares of two numbers is 68 and the square of their difference is 36. what is the product of the two numbers ?

1)	16	2)	52
3)	58	4)	104
5)	None of these

Answer : 52
Explanation : Let, two numbers are x and y respectively.

So, x² + y² = 68 and ( x - y )² = 36.

We know that, ( x - y )²= x² + y² - 2xy

or 68 - 2xy = 36

or 2xy = 68+36 = 104

or xy = 104/2=52

View Answer

Q170.

If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, then what is the number ?

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

Answer : 3
Explanation : Let, the number be x.

2x + 20 = 8x - 4

or 8x - 2x = 20 + 4 = 24

or 6x =24

or x= 24/6= 4

View Answer

Previous 1 2...14 15 161718 19 20...62 63 Next

Mathmetics

Q161.

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 ?

Q162.

In a school, 3/7 of the students are girls and the rest are boys. 1/4 of the boys are below ten years of the age and 5/6 of the girls are also below ten years of age. If number of students above ten years of age is 500 , find the total number of students in the school ?

Q163.

A vendor sells 20 articles and gets a profit which is equal to cost price of 4 articles. What is his percentage of profit in this transaction ?

A vendor sells 20 articles and gets a profit which is equal to cost price of 4 articles. What is his percentage of profit in this transaction ?

Q164.

A vendor sells 20 articles and gets a profit which is equal to selling price of 4 articles. What is the percentage of profit in this transaction ?

Q165.

A number gets reduced to its one-third when 48 is subtracted from it. What is two-thirds of that number ?

Q166.

One third of A�s marks in Arithmetic is equal to half of his marks in English. If he gets 150 marks in the two subjects together, how many marks has he got in English?

Q167.

What is the sum of the following expression (13 + 23+ 33 + 43+ 53 + 63 + ��.. + 103).

Q168.

What is value of the given sequence (53 + 63 + 73+��.. + 103) ?

Q169.

The sum of the squares of two numbers is 68 and the square of their difference is 36. what is the product of the two numbers ?

Q170.

If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, then what is the number ?

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What is the sum of the following expression (1³ + 2³+ 3³ + 4³+ 5³ + 6³ + ��.. + 10³).

What is value of the given sequence (5³ + 6³ + 7³+��.. + 10³) ?