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

Previous12 3 Next

Q1.	The LCM and HCF of two numbers are 660 and 10 respectively. If the sum of the numbers is 170, the what should be difference of the numbers ?

1)	30	2)	40
3)	48	4)	50
5)	None of these

Answer : 50
Explanation : Let , two numbers are 10a and 10b ,where a and b are relatively prime numbers.

According to the question,10a X b = 660

or ab = 66 ------------- (i)

Also given, 10a + 10b = 170

or a + b = 17 ------------------- (ii)

Solving Eqs. (i) and (ii) we get a = 11 and b = 6

So, numbers are 110 and 60.

Thus, the difference is 110 - 60 = 50

View Answer

Q2.	When in each box 6 or 8 dozens of oranges were packed, five dozens were remaining. Therefore, bigger boxes were taken to pack 9 or 10 dozens of oranges. However still five dozens of oranges remains. What was the least number of dozens of oranges to be packed ?

1)	288	2)	360
3)	365	4)	435
5)	None of these

Answer : 365
Explanation : LCM of 6,8,9 and 10 is 360.

So, total numbers of dozens of oranges are 360 +5 = 365

View Answer

Q3.	There are 408 boys and 312 girls in a school which are to be divided into equal sections of either boys or girls alone. what should be the total number of sections thus formed ?

1)	30	2)	31
3)	32	4)	35
5)	None of these

Answer : 30
Explanation : HCF of 408 and 312 is 24.

So, total numbers of sections = (408+312) /24 = 30

View Answer

Q4.	What are the two natural numbers whose difference is 66 and the LCM is 360 ?

1)	90 and 24	2)	120 and 24
3)	120 and 54	4)	180 and 114
5)	None of these

Answer : 90 and 24
Explanation : The factors of 360 = 2 X 2 X 2 X 3 X 3 X 5

So, two numbers are 2 X 2 X 2 X 3 =24 and 2 X 3 X 3 X 5 = 90

View Answer

Q5.	The sum of two numbers is 27 and their H.C.F is 3. If one of the number is lies between 13 to 16, the find the value of the other number ?

1)	12	2)	15
3)	18	4)	24
5)	None of these

Answer : 12
Explanation : Let, two numbers are 3x and 3y respectively.

Then, 3x + 3y = 27

or 3 (x + y) = 27

or (x + y) = 27/3 = 9

So, pairs of numbers are 9 = (1,8) , (2,7) , ( 3,6) and (4,5) .

Thus the numbers are 3 x 4 = 12 and 3 x 5 =15

View Answer

Q6.	What is four-digit largest number which when divided by 4, 5 , 6, 8 and 12 leaves reminder is zero in each case ?

1)	9936	2)	9950
3)	9960	4)	9990
5)	None of these

Answer : 9960
Explanation : The L.C.M of 4, 5 , 6, 8 and 12 is 120.

The four-digit largest number is 9999.

Then, if 9999 is divided by 120, reminder is 39.

So, the require number = 9999 - 39 = 9960.

View Answer

Q7.	A rectangular size floor has 240 feet length and 200 feet wide. How many largest square size marbels slabs are require to pave ,so that no waste of slabs in the paving ?

1)	24	2)	25
3)	30	4)	36
5)	None of these

Answer : 30
Explanation : The H.C.F of 240 and 200 is 40.

Area of the floor = (240 X 200) square feet and area of the slab is (40X40) square feet.

So, Numbers of slabs require = (240 X 200)/(40X40) = 30.

View Answer

Q8.	A worker has paid Rs.4320 if he works for all day but he has paid Rs.2520 due to some days of absent in a month.How many days he was absent ?

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

Answer : 5 days
Explanation : The H.C.F of 4320 and 2520 is 360.

So, 4320/360 = 12 days and 2520/360 = 7 days

Thus, numbers of he absent =12-7=5 days.

View Answer

Q9.	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

View Answer

Q10.	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.

View Answer

Previous12 3 Next

Mathmetics

Q1.

The LCM and HCF of two numbers are 660 and 10 respectively. If the sum of the numbers is 170, the what should be difference of the numbers ?

Q2.

When in each box 6 or 8 dozens of oranges were packed, five dozens were remaining. Therefore, bigger boxes were taken to pack 9 or 10 dozens of oranges. However still five dozens of oranges remains. What was the least number of dozens of oranges to be packed ?

Q3.

There are 408 boys and 312 girls in a school which are to be divided into equal sections of either boys or girls alone. what should be the total number of sections thus formed ?

Q4.

What are the two natural numbers whose difference is 66 and the LCM is 360 ?

Q5.

The sum of two numbers is 27 and their H.C.F is 3. If one of the number is lies between 13 to 16, the find the value of the other number ?

Q6.

What is four-digit largest number which when divided by 4, 5 , 6, 8 and 12 leaves reminder is zero in each case ?

Q7.

A rectangular size floor has 240 feet length and 200 feet wide. How many largest square size marbels slabs are require to pave ,so that no waste of slabs in the paving ?

Q8.

A worker has paid Rs.4320 if he works for all day but he has paid Rs.2520 due to some days of absent in a month.How many days he was absent ?

Q9.

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 ?

Q10.

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 ?

Suggested Links