200950 + Mcqs in General McqOptions

1.	consider the followingstatements I. No integer of the form 4k + 3, where k an integer, can be expressed as the sum of two squares. II. Square of an odd integer can expressed in the form 8k + 1, where k is an integer. Which of the above statements is/are correct?
A.	Only I
B.	Neither I nor II
C.	Only II
D.	Both I and II
Answer» B. Neither I nor II

Discussion

2.	Ram can do a piece of work in 6 days and Shyam can finish the same work in 12 days. How much work will be finished, if both work together for 2 days?
A.	One-fourth of the work
B.	Whole of the work
C.	One-third of the work
D.	Half of the work
Answer» E.

Discussion

3.	What is the value of x for which x, x + 1, x + 3 are all prime numbers?
A.	0
B.	101
C.	1
D.	2
Answer» E.

Discussion

4.	How many numbers between —11 and 11 are multiples of 2 or 3?
A.	11
B.	None of these
C.	14
D.	15
Answer» E.

Discussion

5.	A train crosses a telegraph post in 8 s and a bridge 200 m long in 24 s. What is the length of the train?
A.	120 m
B.	160 m
C.	100 m
D.	140 m
Answer» D. 140 m

Discussion

6.	A wheel of radius 2.1 m of a vehicle makes 75 revolutions in 1 min. What is the speed of the vehicle?
A.	59.4 km/h
B.	35.4 km/h
C.	78 km/h
D.	37.4 km/h
Answer» B. 35.4 km/h

Discussion

7.	What is the least number which when divided by 42, 72 and 84 leaves the remainders 25, 55 and 67, respectively?
A.	521
B.	487
C.	512
D.	504
Answer» C. 512

Discussion

8.	195 + 215 is divisible by
A.	Only 10
B.	Neither 10 nor 20
C.	Only 20
D.	Both 10 and 20
Answer» E.

Discussion

9.	If P:Q =3/5:5/7 and Q:R 3/4:2/5 ,then what is P:Q:R equal to?
A.	3/5:5/7:2/5
B.	3/5:5/7:3/4
C.	9/20:15/28:2/7
D.	3/5
Answer» D. 3/5

Discussion

10.	A trader marks 10% higher than the cost price. He gives a discount of 10% on the marked price. In this kind of sales how much per cent does the trader gain or loss?
A.	5% gain
B.	3% loss
C.	2% gain
D.	1% loss
Answer» E.

Discussion

11.	What is the sum of the digits of the least number which when divided by 52, leaves 33 as remainder, when divided by 78 leaves 59 and when divided by 117, leaves 98 as remainder?
A.	17
B.	21
C.	18
D.	19
Answer» B. 21

Discussion

12.	Consider the following statements If p is a prime such that p + 2 is also a prime, thenI. p (p + 2) + 1 is a perfect square.II. 12 is a divisor of p + (p +2), if p u003e 3.Which of the above statements is/are correct?
A.	Only I
B.	Neither I nor II
C.	Only II
D.	Both I and II
Answer» E.

Discussion

13.	If the HCF of three numbers 144, x and 192 is 12, then the number x cannot be
A.	180
B.	48
C.	84
D.	60
Answer» C. 84

Discussion

14.	A person bought 8 quintal of rice for certain rupees. After a week, he sold 3 quintal of rice at 10% profit, 3 quintal of rice with neither profit nor loss and 2 quintal at 5% loss. In this transaction, what is the profit?
A.	10%
B.	None of these
C.	20%
D.	25%
Answer» C. 20%

Discussion

15.	The principal on which a simple interest of 55 will be obtained after 9 months at the rate of 3 % 3 per annum is
A.	1000
B.	2500
C.	1500
D.	2000
Answer» E.

Discussion

16.	For any integer 'd' and 'b' with HCF (a,b) =1 ,What is HCF (a+b,a-b) equal to ?
A.	It is always 1
B.	None of these
C.	It is always 2
D.	Either 1 or 2
Answer» E.

Discussion

17.	What is the LCM of 2/3, 7/9 and 14/ 15 ?
A.	7/3
B.	1/3
C.	14/3
D.	2/3
Answer» B. 1/3

Discussion

18.	A student moves √2 x km East from his residency and then moves x km North. He, then goes x kn North-East and finally he takes a turn of 90 towards right and moves a distance x km am reaches his school. What is the shortest distance o the school from his residence?
A.	3x km
B.	3√2 x km
C.	(2√2 + 1)x km
D.	2√2x km
Answer» B. 3√2 x km

Discussion

19.	If 3 men and 4 boys can do a piece of work in 8 days, then 6 men and 8 boys can do the same work in
A.	2 days
B.	16 days
C.	4 days
D.	6 days
Answer» D. 6 days

Discussion

20.	If x : y = 7 : 5, then what is the value of (5x - 2y) : (3x + 2y) ?
A.	5/4
B.	31/42
C.	6/5
D.	25/31
Answer» E.

Discussion

21.	' X' is twice as old as 'Y' 3 yr ago, when ' X' was as old as 'Y' today. If the difference between their ages at present is 3 yr, how old is ' X' at present?
A.	18 yr
B.	8 yr
C.	12 yr
D.	9 yr
Answer» E.

Discussion

22.	Which one of the following has least number of divisors?
A.	88
B.	99
C.	91
D.	96
Answer» D. 96

Discussion

23.	Out of a sum of rs 640, a part was lent at 6% simple interest and the other at 9% simple interest. If the interest on the first part after 3 yr is equal to the interest on the second part after 6 yr, then what is the second part?
A.	rs120
B.	rs 180
C.	rs 140
D.	rs 160
Answer» E.

Discussion

24.	76 ladies complete a job in 33 days. Due to some reason some ladies did not join the work and therefore, it was completed in 44 days. The number of ladies who did not report for the work is
A.	17
B.	20
C.	18
D.	19
Answer» E.

Discussion

25.	4 goats or 6 sheeps can graze a field in 50 days. 2 goats and 9 sheeps can graze the field in
A.	75 days
B.	25 days
C.	100 days
D.	50 days
Answer» C. 100 days

Discussion

26.	What is 5% of 50% of 500?
A.	12.5
B.	6.25
C.	25
D.	1.25
Answer» D. 1.25

Discussion

27.	Two lots of onions with equal quantity, one costing 10 per kg and the other costing rs 15 per kg, are mixed together and whole lot is sold at 15 per kg. What is the profit or loss?
A.	10% loss
B.	20% loss
C.	10% profit
D.	20% profit
Answer» E.

Discussion

28.	What is the logarithm of 0.0001 with respect to base 10?
A.	4
B.	3
C.	- 4
D.	- 3
Answer» D. - 3

Discussion

29.	P and Q can do a job in 2 days; Q and R can do it in 4 days and P and R in 12/5 days. What is the number of days required for P alone to do the job?
A.	5/2
B.	6
C.	3
D.	14/5
Answer» D. 14/5

Discussion

30.	Two vessels are full of milk with milk-water ration 1 : 3 and 3 : 5, respectively. If both are mixed in the ratio 3 : 2, what is the ratio of milk and water in the new mixture?
A.	4 : 15
B.	None of these
C.	3 : 7
D.	6
Answer» C. 3 : 7

Discussion

31.	The LCM of two numbers is 2376 while their HCF is 33. If one of the numbers is 297, then the other number is
A.	216
B.	792
C.	264
D.	642
Answer» D. 642

Discussion

32.	The two digit number, which when divided by sum of the digits and product of the digits, respectively. The remainder is same and the difference of quotients is one, is
A.	14
B.	41
C.	23
D.	32
Answer» E.

Discussion

33.	A sailor sails a distance of 48 km along the flow of a river in 8 h. If it takes 12 h to return the same distance, then the speed of the flow of the river is
A.	1 km/h
B.	2 km/h
C.	0.5 km/h
D.	1.5 km/h
Answer» B. 2 km/h

Discussion

34.	Two cars A and B start simultaneously from a certain place at the speed of 30 km/h and 45 km/h, respectively. The car B reaches the destination 2 h earlier than A. What is the distance between the starting point and destination?
A.	180 km
B.	360 km
C.	90 km
D.	270 km
Answer» B. 360 km

Discussion

35.	A person can do a job as fast as his two sons working together. If one son does the job in 6 days and the other in 12 days, how many days does it take the father to do the job?
A.	9 days
B.	3 days
C.	6 days
D.	4 days
Answer» E.

Discussion

36.	If N, (N + 2) and (N + 4) are prime numbers, then the number of possible solutions for N are
A.	1
B.	None of these
C.	2
D.	3
Answer» B. None of these

Discussion

37.	In a class, the number of boys is more than the number of girls by 12% of the total students. What is the ratio of number of boys to that of girls?
A.	11 : 14
B.	25 : 28
C.	14 : 11
D.	28
Answer» D. 28

Discussion

38.	If one man or two women or three boys can do a piece of work in 55 days, then one man, one woman and one boy will do it in how many days?
A.	20 days
B.	50 days
C.	30 days
D.	40 days
Answer» D. 40 days

Discussion

39.	The speeds of three cars are in the ratio 4 3 . 2. What is the ratio between the times taken by the cars to cover the same distance?
A.	2 : 3 : 4
B.	4 : 3 : 2
C.	3 : 4 : 6
D.	1
Answer» D. 1

Discussion

40.	An employee is required to contribute 10% of k,his pay to General Provident Fund. If he gets Rs13500 as net pay in a month, then what is the mor4 General Provident Fund contribution (assuming no other deductions)?
A.	Rs1215
B.	Rs 1650
C.	Rs1350
D.	Rs 1500
Answer» E.

Discussion

41.	How many rational numbers are there between 1 and 1000?
A.	998
B.	infinite
C.	999
D.	1000
Answer» C. 999

Discussion

42.	A three-digit number is divisible by 11 and has its digit in the unit's place equal to 1. The number is 297 more than the number obtained by reversing the digits. What is the number?
A.	121
B.	451
C.	231
D.	561
Answer» C. 231

Discussion

43.	The wages of labourers in a factory has increased i in the ratio 22 : 25 and their number decreased in the ratio 3 : 2. What was the original wage bill of the factory, if the present bill is rs 5000?
A.	4000
B.	None of these
C.	6000
D.	8000
Answer» C. 6000

Discussion

44.	A can finish a work in 8 days and B can do it in 12 days. After A had worked for 3 days, B also joins A to finish the remaining work. In how many days will the remaining work be finished?
A.	2 days
B.	5 days
C.	3 days
D.	4 days
Answer» D. 4 days

Discussion

45.	A trader sells two cycles at rs 1188 each and gains 10% on the first and loses 10% on the second. What is the profit or loss per cent on the whole?
A.	1% loss
B.	2% loss
C.	1% gain
D.	No loss no gain
Answer» B. 2% loss

Discussion

46.	15 men complete a work in 16 days employed, then the time required work will be
A.	8 days
B.	12 days
C.	7 days
D.	10 days
Answer» E.

Discussion

47.	A merchant earns a profit of 20% by selling a basket containing 80 apples which cost is 240 but he gives one-fourth of it to his friend at cost price and sells the remaining apples. In order to earn the same profit, at what price must he sell each apple?
A.	3
B.	4.8
C.	3.6
D.	3.8
Answer» E.

Discussion

48.	In an army camp ration is available for 100 soldiers for 10 days. After 2 days, 60 soldiers joined. Then, for how many more days will the remaining ration last?
A.	7 days
B.	4 days
C.	6 days
D.	5 days
Answer» E.

Discussion

49.	For any integer n, what is the HCF of integers m = 2n + 1 and k =9n + 4?
A.	3
B.	4
C.	1
D.	2
Answer» D. 2

Discussion

50.	Ratio and ProportionA person P started a business with a capital of rs 2525 and another person Q joined P after some months with a capital of rs 1200. Out of the total annual profit of rs 1644, P's share was rs 1212 .When did Q join as partners?
A.	After 2 months
B.	After 5 months
C.	After 3 months
D.	After 4 months
Answer» D. After 4 months

Discussion

Explore topic-wise MCQs in Testing Subject.

consider the followingstatements I. No integer of the form 4k + 3, where k an integer, can be expressed as the sum of two squares. II. Square of an odd integer can expressed in the form 8k + 1, where k is an integer. Which of the above statements is/are correct?

Ram can do a piece of work in 6 days and Shyam can finish the same work in 12 days. How much work will be finished, if both work together for 2 days?

What is the value of x for which x, x + 1, x + 3 are all prime numbers?

How many numbers between —11 and 11 are multiples of 2 or 3?

A train crosses a telegraph post in 8 s and a bridge 200 m long in 24 s. What is the length of the train?

A wheel of radius 2.1 m of a vehicle makes 75 revolutions in 1 min. What is the speed of the vehicle?

What is the least number which when divided by 42, 72 and 84 leaves the remainders 25, 55 and 67, respectively?

195 + 215 is divisible by

If P:Q =3/5:5/7 and Q:R 3/4:2/5 ,then what is P:Q:R equal to?

A trader marks 10% higher than the cost price. He gives a discount of 10% on the marked price. In this kind of sales how much per cent does the trader gain or loss?

What is the sum of the digits of the least number which when divided by 52, leaves 33 as remainder, when divided by 78 leaves 59 and when divided by 117, leaves 98 as remainder?

Consider the following statements If p is a prime such that p + 2 is also a prime, thenI. p (p + 2) + 1 is a perfect square.II. 12 is a divisor of p + (p +2), if p u003e 3.Which of the above statements is/are correct?

If the HCF of three numbers 144, x and 192 is 12, then the number x cannot be

A person bought 8 quintal of rice for certain rupees. After a week, he sold 3 quintal of rice at 10% profit, 3 quintal of rice with neither profit nor loss and 2 quintal at 5% loss. In this transaction, what is the profit?

The principal on which a simple interest of 55 will be obtained after 9 months at the rate of 3 % 3 per annum is

For any integer 'd' and 'b' with HCF (a,b) =1 ,What is HCF (a+b,a-b) equal to ?

What is the LCM of 2/3, 7/9 and 14/ 15 ?

A student moves √2 x km East from his residency and then moves x km North. He, then goes x kn North-East and finally he takes a turn of 90 towards right and moves a distance x km am reaches his school. What is the shortest distance o the school from his residence?

If 3 men and 4 boys can do a piece of work in 8 days, then 6 men and 8 boys can do the same work in

If x : y = 7 : 5, then what is the value of (5x - 2y) : (3x + 2y) ?

' X' is twice as old as 'Y' 3 yr ago, when ' X' was as old as 'Y' today. If the difference between their ages at present is 3 yr, how old is ' X' at present?

Which one of the following has least number of divisors?

Out of a sum of rs 640, a part was lent at 6% simple interest and the other at 9% simple interest. If the interest on the first part after 3 yr is equal to the interest on the second part after 6 yr, then what is the second part?

76 ladies complete a job in 33 days. Due to some reason some ladies did not join the work and therefore, it was completed in 44 days. The number of ladies who did not report for the work is

4 goats or 6 sheeps can graze a field in 50 days. 2 goats and 9 sheeps can graze the field in

What is 5% of 50% of 500?

Two lots of onions with equal quantity, one costing 10 per kg and the other costing rs 15 per kg, are mixed together and whole lot is sold at 15 per kg. What is the profit or loss?

What is the logarithm of 0.0001 with respect to base 10?

P and Q can do a job in 2 days; Q and R can do it in 4 days and P and R in 12/5 days. What is the number of days required for P alone to do the job?

Two vessels are full of milk with milk-water ration 1 : 3 and 3 : 5, respectively. If both are mixed in the ratio 3 : 2, what is the ratio of milk and water in the new mixture?

The LCM of two numbers is 2376 while their HCF is 33. If one of the numbers is 297, then the other number is

The two digit number, which when divided by sum of the digits and product of the digits, respectively. The remainder is same and the difference of quotients is one, is

A sailor sails a distance of 48 km along the flow of a river in 8 h. If it takes 12 h to return the same distance, then the speed of the flow of the river is

Two cars A and B start simultaneously from a certain place at the speed of 30 km/h and 45 km/h, respectively. The car B reaches the destination 2 h earlier than A. What is the distance between the starting point and destination?

A person can do a job as fast as his two sons working together. If one son does the job in 6 days and the other in 12 days, how many days does it take the father to do the job?

If N, (N + 2) and (N + 4) are prime numbers, then the number of possible solutions for N are

In a class, the number of boys is more than the number of girls by 12% of the total students. What is the ratio of number of boys to that of girls?

If one man or two women or three boys can do a piece of work in 55 days, then one man, one woman and one boy will do it in how many days?

The speeds of three cars are in the ratio 4 3 . 2. What is the ratio between the times taken by the cars to cover the same distance?

An employee is required to contribute 10% of k,his pay to General Provident Fund. If he gets Rs13500 as net pay in a month, then what is the mor4 General Provident Fund contribution (assuming no other deductions)?

How many rational numbers are there between 1 and 1000?

A three-digit number is divisible by 11 and has its digit in the unit's place equal to 1. The number is 297 more than the number obtained by reversing the digits. What is the number?

The wages of labourers in a factory has increased i in the ratio 22 : 25 and their number decreased in the ratio 3 : 2. What was the original wage bill of the factory, if the present bill is rs 5000?

A can finish a work in 8 days and B can do it in 12 days. After A had worked for 3 days, B also joins A to finish the remaining work. In how many days will the remaining work be finished?

A trader sells two cycles at rs 1188 each and gains 10% on the first and loses 10% on the second. What is the profit or loss per cent on the whole?

15 men complete a work in 16 days employed, then the time required work will be

A merchant earns a profit of 20% by selling a basket containing 80 apples which cost is 240 but he gives one-fourth of it to his friend at cost price and sells the remaining apples. In order to earn the same profit, at what price must he sell each apple?

In an army camp ration is available for 100 soldiers for 10 days. After 2 days, 60 soldiers joined. Then, for how many more days will the remaining ration last?

For any integer n, what is the HCF of integers m = 2n + 1 and k =9n + 4?

Ratio and ProportionA person P started a business with a capital of rs 2525 and another person Q joined P after some months with a capital of rs 1200. Out of the total annual profit of rs 1644, P's share was rs 1212 .When did Q join as partners?