167 + Mcqs in CAT Page 2 McqOptions

51.	The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?
A.	Rs. 22.5
B.	Rs. 2.5
C.	Rs. 202
D.	Rs. 25
Answer» B. Rs. 2.5

Discussion

52.	If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?
A.	4:3
B.	2:3
C.	3:2
D.	5:3
Answer» B. 2:3

Discussion

53.	A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ?
A.	175
B.	140
C.	135
D.	95
Answer» C. 135

Discussion

54.	The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned ?
A.	Rs. 11828.80
B.	Rs. 19828.80
C.	Rs. 9828.80
D.	Rs. 19328.80
Answer» C. Rs. 9828.80

Discussion

55.	The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ?
A.	2413 sq.m
B.	1234 sq.m
C.	4312 sq.m
D.	2143 sq.m
Answer» D. 2143 sq.m

Discussion

56.	A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days ?
A.	9 days
B.	11 days
C.	13 days
D.	15 days
Answer» D. 15 days

Discussion

57.	The second day of a month is Sunday, What will be the last day of the next month which has 31 days ?
A.	Friday
B.	Saturday
C.	Sunday
D.	Can't be determined
Answer» E.

Discussion

58.	On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ?
A.	476190476
B.	48617
C.	47619
D.	4587962
Answer» D. 4587962

Discussion

59.	If J is the interest on K and K is the interest on L, the rate and time is the same on both the cases. What is the relation between J, K and L ?
A.	J x J = KL
B.	K x K= JL
C.	L x L = JK
D.	JKL = 1
Answer» C. L x L = JK

Discussion

60.	A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
A.	240 mts
B.	270 mts
C.	260 mts
D.	250 mts
Answer» B. 270 mts

Discussion

61.	The price of a car is increased by 25%, by how much percent, must the new price of this car be decreased to restore its original price ?
A.	20%
B.	24%
C.	21%
D.	25%
Answer» B. 24%

Discussion

62.	At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?
A.	4.58 %
B.	5.96 %
C.	6.52 %
D.	4.98 %
Answer» C. 6.52 %

Discussion

63.	Find the odd one in the number series given below ? 17, 9, 10, 18.5, 35, 90
A.	9
B.	10
C.	18.5
D.	90
Answer» D. 90

Discussion

64.	Simplify the following equation [K-L2-K+L2]4K = a/b
A.	K = b /a
B.	bL = -a
C.	KL = 1
D.	aK = -b
Answer» C. KL = 1

Discussion

65.	A,B,C,D,E,F,G and H are sitting around a circular table facing the centre but not necessarily in the same order. G sits third to the right of C. E is second to the right of G and 4th to the right of H. B is fourth to the right of C. D is not an immediate neighbour of E. A and C are immediate neighbours. Which of the following is/are correct ?
A.	F is third to the left of B
B.	F is second to the right of B
C.	B is an immediate neighbour of D
D.	All of the above
Answer» C. B is an immediate neighbour of D

Discussion

66.	What will come in place of the question mark(?) in the following question ? 56% of 870 + 82% of 180 = 32% of 90 + ?
A.	777
B.	666
C.	606
D.	789
Answer» D. 789

Discussion

67.	A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water?
A.	1 : 3
B.	3 : 2
C.	2 : 3
D.	3 : 1
Answer» B. 3 : 2

Discussion

68.	Find the missing number in the series 1, 6, ?, 15, 45, 66, 91
A.	24
B.	28
C.	32
D.	26
Answer» C. 32

Discussion

69.	Simplify 413 + 215 + 414 = ?
A.	10 47/60
B.	11 45/73
C.	11 47/36
D.	10 35/48
Answer» B. 11 45/73

Discussion

70.	If a+b=5 and 3a+2b=20,then (3a+b)will be :
A.	20
B.	15
C.	25
D.	30
Answer» D. 30

Discussion

71.	Three milkmen rented a pasture. A grazed 24 cows for 4 months; B 10 cows for 6 months; C 56 cows for 5 months. If A's share of rent is Rs. 960, find the total rent of the field?
A.	4530
B.	4440
C.	4360
D.	4280
Answer» D. 4280

Discussion

72.	A sales boy is allowed 412 % discount on the total sales made by him plus a bonus of 14% on the sales over Rs.12,000.If his total earnings were Rs.2400, then his total sales(in Rs.) are ?
A.	Rs.60,145.23
B.	Rs.54,285.54
C.	Rs.52,147.85
D.	Rs.50,589.47
Answer» E.

Discussion

73.	The capacity of a tank is 2400 m3. A pump can be used both for filling and emptying the tank. The emptying capacity of the pump is 10 m3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.
A.	46 cub.m/min
B.	44 cub.m/min
C.	48 cub.m/min
D.	50 cub.m/min
Answer» E.

Discussion

74.	18 as a decimal?
A.	0.375
B.	0.247
C.	0.214
D.	0.125
Answer» E.

Discussion

75.	Solve the equation 122x+1 = 1 ?
A.	-1/2
B.	1/2
C.	1
D.	-1
Answer» B. 1/2

Discussion

76.	Three men, four women and six children can complete a work in 9 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days?
A.	7
B.	8
C.	9
D.	6
Answer» B. 8

Discussion

77.	The respective ratio between the speed of a bike, a van and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together?
A.	60 kmph
B.	62 kmph
C.	64 kmph
D.	63 kmph
Answer» B. 62 kmph

Discussion

78.	Complete the missing number in the given series. 5, 20, 76, ( ), 448
A.	185
B.	225
C.	415
D.	232
Answer» C. 415

Discussion

79.	Arun s weight is 140% of Akhil s weight. Nani s weight is 90% of Shreyon s weight. Shreyon s weight is twice as much as Akhil s. What percentage of Arun s weight is Nani s weight?
A.	76%
B.	77%
C.	78%
D.	79%
Answer» D. 79%

Discussion

80.	The missing number in the Series 114, 131, 165, 216, ?, 369
A.	314
B.	304
C.	294
D.	284
Answer» E.

Discussion

81.	Find the odd one out of the floowing number series? 270, 261, 279, 252, 289, 243
A.	270
B.	279
C.	289
D.	243
Answer» D. 243

Discussion

82.	Simplify the following and find the value of ? 13 of ? + 47 of 114 of 539 = 31% of 2000
A.	1134
B.	1237
C.	1187
D.	1249
Answer» B. 1237

Discussion

83.	The ratio of K s and M s ages is 4: 5. If the difference between the present age of M and the age of K, 5 years hence is 3 years, then what is the difference and total of present ages of K and M?
A.	8, 72 yrs
B.	16, 65 yrs
C.	12, 84 yrs
D.	10, 60 yrs
Answer» B. 16, 65 yrs

Discussion

84.	A Woman s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream?
A.	72 km
B.	36 km
C.	56 km
D.	42 km
Answer» B. 36 km

Discussion

85.	Derivative of sinx by first principle?
A.	-sinx
B.	-cosx
C.	cosx
D.	sinx
Answer» D. sinx

Discussion

86.	Find the next number in the sequence? 28, 16, 28, 76, 274
A.	1233
B.	1243
C.	1256
D.	1276
Answer» C. 1256

Discussion

87.	Find the missing number? 5 19 49 101 181 295 ?
A.	401
B.	351
C.	449
D.	501
Answer» D. 501

Discussion

88.	Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years?
A.	Rs. 3845
B.	Rs. 4826
C.	Rs. 5142
D.	Rs. 4415
Answer» C. Rs. 5142

Discussion

89.	What value will come in place of question mark (?) in the number - series given below ? 4, 30, ?, 1440, 7195, 71940
A.	145
B.	545
C.	650
D.	999
Answer» B. 545

Discussion

90.	The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm.
A.	Only statement A is required
B.	Only statement B is required
C.	Both A & B are required
D.	Neither (
Answer» B. Only statement B is required

Discussion

91.	Find the Odd One Out? 4, 6, 12, 30, 81, 315.
A.	6
B.	12
C.	81
D.	315
Answer» D. 315

Discussion

92.	In following number series only one number is wrong. Find out that wrong or odd number in the series? 6, 78, 858, 7722, 54055, 270270
A.	270270
B.	54055
C.	7722
D.	858
Answer» C. 7722

Discussion

93.	10 25 45 54 60 75 85 Find the Odd Number?
A.	54
B.	10
C.	45
D.	85
Answer» B. 10

Discussion

94.	54, 60 LCM is
A.	600
B.	540
C.	60
D.	54
Answer» C. 60

Discussion

95.	The average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 yrs, and B is 5 years younger to C, then find the difference between the age of A and C?
A.	11 yrs
B.	9 yrs
C.	7 yrs
D.	13 yrs
Answer» C. 7 yrs

Discussion

96.	The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference of their ages ?
A.	6
B.	4
C.	8
D.	10
Answer» C. 8

Discussion

97.	Evaluate : 3.392-2.6123.39-2.69?
A.	3
B.	4
C.	6
D.	1
Answer» D. 1

Discussion

98.	If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number?
A.	5.65
B.	2.7
C.	3.5
D.	6.66
Answer» D. 6.66

Discussion

99.	The average marks of a student in 7 subjects is 85. His average marks in 6 subjects except English is 83. What is his marks in English ?
A.	97
B.	98
C.	92
D.	93
Answer» B. 98

Discussion

100.	A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in ?
A.	17 + 4/7 days
B.	13 + 1/3 days
C.	15 + 3/2 days
D.	16 days
Answer» C. 15 + 3/2 days

Discussion

Explore topic-wise MCQs in Quantitative Aptitude.

The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?

If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?

A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ?

The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned ?

The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ?

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days ?

The second day of a month is Sunday, What will be the last day of the next month which has 31 days ?

On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ?

If J is the interest on K and K is the interest on L, the rate and time is the same on both the cases. What is the relation between J, K and L ?

A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?

The price of a car is increased by 25%, by how much percent, must the new price of this car be decreased to restore its original price ?

At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?

Find the odd one in the number series given below ? 17, 9, 10, 18.5, 35, 90

Simplify the following equation [K-L2-K+L2]4K = a/b

What will come in place of the question mark(?) in the following question ? 56% of 870 + 82% of 180 = 32% of 90 + ?

A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water?

Find the missing number in the series 1, 6, ?, 15, 45, 66, 91

Simplify 413 + 215 + 414 = ?

If a+b=5 and 3a+2b=20,then (3a+b)will be :

Three milkmen rented a pasture. A grazed 24 cows for 4 months; B 10 cows for 6 months; C 56 cows for 5 months. If A's share of rent is Rs. 960, find the total rent of the field?

A sales boy is allowed 412 % discount on the total sales made by him plus a bonus of 14% on the sales over Rs.12,000.If his total earnings were Rs.2400, then his total sales(in Rs.) are ?

The capacity of a tank is 2400 m3. A pump can be used both for filling and emptying the tank. The emptying capacity of the pump is 10 m3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.

18 as a decimal?

Solve the equation 122x+1 = 1 ?

Three men, four women and six children can complete a work in 9 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days?

The respective ratio between the speed of a bike, a van and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together?

Complete the missing number in the given series. 5, 20, 76, ( ), 448

Arun s weight is 140% of Akhil s weight. Nani s weight is 90% of Shreyon s weight. Shreyon s weight is twice as much as Akhil s. What percentage of Arun s weight is Nani s weight?

The missing number in the Series 114, 131, 165, 216, ?, 369

Find the odd one out of the floowing number series? 270, 261, 279, 252, 289, 243

Simplify the following and find the value of ? 13 of ? + 47 of 114 of 539 = 31% of 2000

The ratio of K s and M s ages is 4: 5. If the difference between the present age of M and the age of K, 5 years hence is 3 years, then what is the difference and total of present ages of K and M?

A Woman s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream?

Derivative of sinx by first principle?

Find the next number in the sequence? 28, 16, 28, 76, 274

Find the missing number? 5 19 49 101 181 295 ?

Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years?

What value will come in place of question mark (?) in the number - series given below ? 4, 30, ?, 1440, 7195, 71940

Find the Odd One Out? 4, 6, 12, 30, 81, 315.

In following number series only one number is wrong. Find out that wrong or odd number in the series? 6, 78, 858, 7722, 54055, 270270

10 25 45 54 60 75 85 Find the Odd Number?

54, 60 LCM is

The average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 yrs, and B is 5 years younger to C, then find the difference between the age of A and C?

The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference of their ages ?

Evaluate : 3.392-2.6123.39-2.69?

If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number?

The average marks of a student in 7 subjects is 85. His average marks in 6 subjects except English is 83. What is his marks in English ?

A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in ?