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Mathmetics

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

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Q191.

The average age of 50 students of a class is 16 years. When 10 new students are admitted, then the average age increased by 0.5 years. What is the average age of the new students ?

1)	17 years	2)	18 years
3)	19 years	4)	20 years
5)	None of these

Answer : 19 years
Explanation : The total age of 50 students = 50 X 16 = 800 yrs.

After admitted 10 new students ,total age become 60 X 16.5 = 990 yrs.

So, age of new students = 990 -800 = 190 yrs.

Thus, their average 190 /10 = 19 yrs.

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Q192.

The average expenditure of a man for the first five month of a year is Rs.5,000 and for the next seven- month is Rs-5,400. He saves Rs.2,300 during the year. What his average monthly income ?

1)	Rs.5,425	2)	Rs.5,500
3)	Rs.5,446	4)	Rs.5,600
5)	None of these

Answer : Rs.5,425
Explanation :

Total expenditure is = (55000 + 75400) = 62800

His saving is Rs. 2300

Total annual income = 62800 + 2300 = 65100

Monthly income = 65100 � 12 = Rs. 5425

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Q193.

Two-fifth of a number is two more than one-third another number.If the sum of the two numbers is 16,what is their product ?

1)	40	2)	48
3)	54	4)	60
5)	None of these

Answer : 60
Explanation : Let, two numbers are x and y respectively.

According to the questions, x + y = 16 ------- (I) and 2x/5 - y/3 = 2 -------- (II)

or 6x -5y = 30

Solving both equations , we get x = 10 and y = 6

So, their product = 10 X 6 = 60

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Q194.

The profit earned by selling an article for Rs.744 is double the loss incurred when the same article is sold for Rs.240. What would the selling price of the article if it is sold at 15% profit ?

1)	Rs.472.20	2)	Rs.469.80
3)	Rs.468.20	4)	Rs.479.20
5)	None of these

Answer : Rs.469.80
Explanation : Let, the C.P be Rs.x.

Then, according to the question, 744 - x = 2(x-240)

or 744 - x = 2x - 480

or 3x = 744 + 480 =1224

or x = 1224/3 = Rs.408

So, required S.P = 408 X (115/100 ) = Rs.469.20

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Q195.

The H.C.F and L.C.M of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then what is that number ?

1)	78	2)	91
3)	104	4)	117
5)	None of these

Answer : 91
Explanation : Let, two numbers are 13x and 13y respectively.

So, 13x X 13y = 13 X 455

or xy = 35

Then, pairs of numbers are 35 = (1 X 35) , (5 x 7).

So, second pairs is considerable i.e. 13X5 = 65 and 13 X 7 = 91

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Q196.

The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then what is their difference ?

1)	10	2)	12
3)	15	4)	20
5)	None of these

Answer : 10
Explanation : Let, two numbers are 5x and 5y respectively.

So, 5x X 5y = 5 X 495

or 25xy = 5 X 495

or xy = 99

So, pairs of numbers are i.e. 99 = (1 X 99) and (9 x 11)

Therefore , the satisfy numbers are 9 x 5 = 45 and 11 x 5 = 55

So, the difference is 55 - 45 = 10.

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Q197.

The L.C.M of two numbers is 45 times their H.C.F. If one of the number is 125 and the sum of H.C.F and L.C.M is 1150, the other number is -

1)	215	2)	220
3)	225	4)	235
5)	None of these

Answer : 225
Explanation : Given that, 45 H.C.F = L.C.M and

H.C.F + L.C.M = 1150

or H.C.F + 45 H.C.F = 1150

or 46 H.C.F = 1150

or H.C.F = 1150/46 =25

So, L.C.M = 25 X 45 = 1125

Now, we can get 125 X x = 25 X 1125

or x = (25 X 1125) /125 = 225

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Q198.

What is value of the following expressions:
(51 + 52 + 53 + ... + 100) = ?

1)	2825	2)	2975
3)	3025	4)	3775
5)	None of these

Answer : 3775
Explanation :

We know that,S_n = (1 + 2 + 3 + ... + 50 + 51 + 52 + ... + 100)/2 - (1 + 2 + 3 + ... + 50)/2

= 100 x (1 + 100) - 50 x (1 + 50) = (50 x 101) - (25 x 51)

= (5050 - 1275) = 3775.

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Q199.

A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?

1)	8	2)	9
3)	10	4)	12
5)	None of these

Answer : 10
Explanation :

4 a 3 |

9 8 4 } ==> a + 8 = b ==> b - a = 8

13 b 7 |

Also, 13 b7 is divisible by 11 (7 + 3) - (b + 1) = (9 - b)

(9 - b) = 0

or b = 9 (b = 9 and a = 1)

So, (a + b) = 10.

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Q200.

When a number is divided by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?

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

Answer : 4
Explanation :

We, know that , Dividend = (divisor x Quotient )+Reminder

D = 5Q + 3

or D² = (5Q + 3)² = (25Q² + 30Q + 9) = 5(5Q² + 6Q + 1) + 4

On dividing D² by 5, we get 4 as remainder.

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Mathmetics

Q191.

The average age of 50 students of a class is 16 years. When 10 new students are admitted, then the average age increased by 0.5 years. What is the average age of the new students ?

Q192.

The average expenditure of a man for the first five month of a year is Rs.5,000 and for the next seven- month is Rs-5,400. He saves Rs.2,300 during the year. What his average monthly income ?

Q193.

Two-fifth of a number is two more than one-third another number.If the sum of the two numbers is 16,what is their product ?

Q194.

The profit earned by selling an article for Rs.744 is double the loss incurred when the same article is sold for Rs.240. What would the selling price of the article if it is sold at 15% profit ?

Q195.

The H.C.F and L.C.M of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then what is that number ?

Q196.

The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then what is their difference ?

Q197.

The L.C.M of two numbers is 45 times their H.C.F. If one of the number is 125 and the sum of H.C.F and L.C.M is 1150, the other number is -

Q198.

What is value of the following expressions:
(51 + 52 + 53 + ... + 100) = ?

Q199.

A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?

Q200.

When a number is divided by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?

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Mathmetics

Q191.

The average age of 50 students of a class is 16 years. When 10 new students are admitted, then the average age increased by 0.5 years. What is the average age of the new students ?

Q192.

The average expenditure of a man for the first five month of a year is Rs.5,000 and for the next seven- month is Rs-5,400. He saves Rs.2,300 during the year. What his average monthly income ?

Q193.

Two-fifth of a number is two more than one-third another number.If the sum of the two numbers is 16,what is their product ?

Q194.

The profit earned by selling an article for Rs.744 is double the loss incurred when the same article is sold for Rs.240. What would the selling price of the article if it is sold at 15% profit ?

Q195.

The H.C.F and L.C.M of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then what is that number ?

Q196.

The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then what is their difference ?

Q197.

The L.C.M of two numbers is 45 times their H.C.F. If one of the number is 125 and the sum of H.C.F and L.C.M is 1150, the other number is -

Q198.

What is value of the following expressions: (51 + 52 + 53 + ... + 100) = ?

Q199.

A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?

Q200.

When a number is divided by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?

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Quick Links

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What is value of the following expressions:
(51 + 52 + 53 + ... + 100) = ?