An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the foilowing are the observations from the four trials: (1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT ________. Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

One H will be followed by one T

An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the foilowing are the observations from the four trials:

One H will be followed by one T

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

The square has the largest area

The circle has the largest area

The square has the largest area

The equilateral triangle has the largest area

All the three shapes have the same area

91 + Mcqs in Numerical Ability in Verbal Ability Page 1 McqOptions

1.	If q^a = 1 /r and r^b = 1 /s and s_{c = 1 /q of abc is. the value of abc is _______ .}
A.	(rps)
B.
C.	0
D.	1
E.	r + q + s
Answer» D. 1

Discussion

2.	A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1 :2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?
A.	30
B.	40
C.	120
D.	180
Answer» C. 120

Discussion

3.	Given (9 inches)^1/₂ = (0.25 yards)^1/₂, which one of the following statements is TRUE?
A.	3 inches - 0.5 yards
B.	9 inches = 1.5 yards
C.	9 inches = 0.25 yards
D.	81 inches = 0.0625 yards
Answer» D. 81 inches = 0.0625 yards

Discussion

4.	The cost function for a product in a firm is given by 5q², where q is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The number of units to be produced by the firm such that the profit is maximized is
A.	5
B.	10
C.	15
D.	25
Answer» B. 10

Discussion

5.

The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four?

Batsman Average Standard Deviation
K 31.2 5.21
L 46.0 6.35
M 54.4 6.22
N 17.9 5.90

A.

K

B.

M

C.

L

D.

N

Answer» C. L

Discussion

6.	A regular die has six sides with numbers 1 to 6 marked on its sides. If a very large number of throws show the following frequencies of occurrence: 1 0, 167; 2 0, 167; 3 0, 152; 4 0,166; 5 0,168; 6 0, 180. We call this die
A.	irregular
B.	biased
C.	Gaussian
D.	insufficient
Answer» C. Gaussian

Discussion

7.	What is the next number in the series? 12 , 35 81 , 173 , 357 ,____.
A.	525
B.	725
C.	625
D.	752
Answer» C. 625

Discussion

8.	Find the next term in the sequence: 13M, 17O, 19S, _______
A.	21 W
B.	21V
C.	23 W
D.	23I
Answer» D. 23I

Discussion

9.	If x > y > 1, which of the following must be true? i. In x > In y ii. e^x > e^y ii. y^x > x^y iv. cos x > cosy
A.	i and ii
B.	i and iii
C.	iii and iv
D.	ii and iv
Answer» B. i and iii

Discussion

10.	log tan 1 + log tan 2 + _____ + log tan 89 is 1
A.	1
B.	1/
C.
D.	0
E.	1
Answer» D. 0

Discussion

11.	If a² + b² + c² = 1, then ab + bc+ ac lies in the interval
A.
B.
C.
D.	[2, 4]
Answer» C.

Discussion

12.	Let S1 be the plane figure consisting of the points (x, y) given by the inequalities \|x 1\| 2 and \|y + 2\| 3. Let S₂ be the plane figure given by the inequalities x y 2, y 1, and x 3. Let S be the union of S₁ and S₂. The area of S is
A.	26
B.	28
C.	32
D.	34
Answer» D. 34

Discussion

13.	An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the foilowing are the observations from the four trials: (1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT ________. Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?
A.	Two T will occur
B.	One H and one T will occur
C.	Two H will occur
D.	One H will be followed by one T
Answer» C. Two H will occur

Discussion

14.

The value of the expression
1 +
1 +
1 is -
1 + log_uVW 1 + log_vWU 1 + log_wUV

A.

- 1

B.

0

C.

1

D.

3

Answer» D. 3

Discussion

15.	A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number. 1. If the house number is a multiple of 3, then it is a number from 50 to 59. 2. If the house number is NOT a multiple of 4, then it is a number from 60 to 69. 3. If the house number is NOT a multiple of 6, then it is a number from 70 to 79. Which is the house number?
A.	54
B.	65
C.	66
D.	76
Answer» E.

Discussion

16.	Right triangle PQR is to be constructed in the xy plane so that the right angle is at P and line PR is parallel to the-axis. The x and y coordinates of P, Q, and R are to be integers that satisfy the inequalities: -4 110 1,100 9,900 10,000
A.	110
B.	1,100
C.	9,900
D.	10,000
Answer» D. 10,000

Discussion

17.	Fill in the missing number in the series. 2 3 6 15 _?_ 157.5 630
A.	None of these
Answer» B.

Discussion

18.	Which of the following assertions are CORRECT? P : Adding 7 to each entry in a list adds 7 to the mean of the list Q : Adding 7 to each entry in a list adds 7 to the standard deviation of the list R : Doubling each entry in a list doubles the mean of the list S : Doubling each entry in a list leaves the standard deviation of the list unchanged
A.	P, Q
B.	Q, R
C.	P, R
D.	R, S
Answer» D. R, S

Discussion

19.	A political party orders an arch for the entrance to the ground in which the annual conventions is being held. The profile of the arch follows the equation y = 2x 0.1x² where y is the height of the arch in meters. The maximum possible height of the arch is
A.	8 meters
B.	10 meters
C.	12 meters
D.	14 meters
Answer» C. 12 meters

Discussion

20.	P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days, R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?
A.	10:11
B.	11: 10
C.	20: 21
D.	21: 20
Answer» D. 21: 20

Discussion

21.	In the given figure angle Q is a right angle, PS:QS = 3: 1, RT: QT = 5: 2 and PU: UR = 1 : 1. If area of triangle QTS is 20 cm, then the area of triangle PQR in cm2 is ________ .
A.	150 cm
B.	260 cm
C.	380 cm
D.	280 cm
Answer» E.

Discussion

22.	Find the missing sequence in the letter series. B, FH, LNP, ________.
A.	SUWY
B.	TUVW
C.	TVXZ
D.	TVVXZ
Answer» D. TVVXZ

Discussion

23.	A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1 :2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a
A.	30
B.	40
C.	120
D.	180
Answer» C. 120

Discussion

24.	Given (9 inches)
A.	3 inches - 0.5 yards
B.	9 inches = 1.5 yards
C.	9 inches = 0.25 yards
D.	81 inches = 0.0625 yards
Answer» D. 81 inches = 0.0625 yards

Discussion

25.	Which of the following curves represents the function y = (\|e
A.	<img src="http://images.interviewmania.com/wp-content/uploads/2019/10/Que-67A.jpg">
B.	<img src="http://images.interviewmania.com/wp-content/uploads/2019/10/Que-67B.jpg">
C.	<img src="http://images.interviewmania.com/wp-content/uploads/2019/10/Que-67C.jpg">
D.	<img src="http://images.interviewmania.com/wp-content/uploads/2019/10/Que-67D.jpg">
Answer» D. <img src="http://images.interviewmania.com/wp-content/uploads/2019/10/Que-67D.jpg">

Discussion

26.	M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels 5 km South and then 4 km South-East. What is the shortest distance (in km) between M and N at the end of their travel.
A.	18.60
B.	22.50
C.	20.61
D.	25.00
Answer» D. 25.00

Discussion

27.	A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 m, the area of the window in m is
A.	1.43
B.	2.06
C.	2.68
D.	2.88
Answer» C. 2.68

Discussion

28.	The volume of a sphere of diameter 1 unit is than the volume of a cube of side 1 unit.
A.	least
B.	less
C.	lesser
D.	low
Answer» C. lesser

Discussion

29.	There are 4 women P, Q, R, S and 5 men V, W, X, Y, Z in a group. We are required to form pairs each consisting of one woman and one man. P is not to be paired with Z, and Y must necessarily be paired with someone. In how many ways can 4 such pairs be formed?
A.	74
B.	76
C.	78
D.	80
Answer» D. 80

Discussion

30.	P looks at Q while Q looks at R, P is married, R is not. The number of pairs of people in which a married person is looking at an unmarried person is
A.	0
B.	1
C.	2
D.	cannot be determined
Answer» C. 2

Discussion

31.	If a and b are integers and a b is even, which of the following must always be even?
A.	ab
B.	a + b + 1
C.	a + b + 1
D.	ab b
Answer» E.

Discussion

32.	A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. during this process, the rectangle loses 650 m of area. What is the area of the original rectangle in square meters?
A.	1125
B.	2250
C.	2924
D.	4500
Answer» C. 2924

Discussion

33.	Find the missing group of letters in the following series: BC, FGH, LMNO
A.	UVWXY
B.	TUVWX
C.	STUVW
D.	RSTUV
Answer» C. STUVW

Discussion

34.	Let S1 be the plane figure consisting of the points (x, y) given by the inequalities \|x 1\| 2 and \|y + 2\| 3. Let S
A.	26
B.	28
C.	32
D.	34
Answer» D. 34

Discussion

35.	For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log\|a\| + log\|b\| + log\|c\| = 0
A.	3 and 3
B.	1 and 1
C.	1 and 3
D.	1 and 3
Answer» B. 1 and 1

Discussion

36.	Forty students watched films, A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?
A.	0
B.	2
C.	4
D.	8
Answer» D. 8

Discussion

37.	An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the foilowing are the observations from the four trials:
A.	Two T will occur
B.	One H and one T will occur
C.	Two H will occur
D.	One H will be followed by one T
Answer» C. Two H will occur

Discussion

38.	The value of the expression
A.	- 1
B.	0
C.	1
D.	3
Answer» D. 3

Discussion

39.	A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12%. If the profit percentages are interchanged with these investments he woul d have got Rs. 120 l ess. Fi nd t he r at iobet ween hi s investments in the two schemes.
A.	9: 16
B.	47: 53
C.	11: 14
D.	37: 63
Answer» C. 11: 14

Discussion

40.	Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R are open for 4 hours. Then P is closed. The total time taken to fill the tank (in hours) is _____.
A.	13.50
B.	16.50
C.	14.50
D.	15.50
Answer» D. 15.50

Discussion

41.	A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.
A.	54
B.	65
C.	66
D.	76
Answer» E.

Discussion

42.	Given that a and b are integers and a + a2b3 is odd, which one of the following statements is correct?
A.	a and b are both odd
B.	a and b are both even
C.	a is even and b is odd
D.	a is odd and b is even
Answer» E.

Discussion

43.	The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?
A.	The circle has the largest area
B.	The square has the largest area
C.	The equilateral triangle has the largest area
D.	All the three shapes have the same area
Answer» B. The square has the largest area

Discussion

44.	Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased by 10% from 2015 to 2016, the percentage increase in the actual fiscal deficit is
A.	25.00
B.	37.50
C.	35.70
D.	10.00
Answer» C. 35.70

Discussion

45.	The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X and Y. What is the minimum possible value of P?
A.	6
B.	9.5
C.	7
D.	8
Answer» D. 8

Discussion

46.	If IMHO = JNIP; IDK = JEL; and SO = TP, then IDC =
A.	JDC
B.	JED
C.	JCD
D.	JDE
Answer» C. JCD

Discussion

47.	In a company with 100 employees, 45 earn Rs. 20000 per month, 25 earn Rs. 30000,20 earn Rs. 40000,8 earn Rs. 60000, and 2 earn Rs. 150000. The median of the salaries is
A.	Rs. 20000
B.	Rs. 30000
C.	Rs. 32300
D.	Rs. 40000
Answer» C. Rs. 32300

Discussion

48.	P, Q, and R talk about S's car collection, P states that S has at least 3 cars. Q believes that S has less than 3 cars, R says that to his knowledge, S has at least one car. Only one of P, Q and R is right. The number of cars owned by S is
A.	0
B.	1
C.	3
D.	Cannot be determined
Answer» B. 1

Discussion

49.	A right-angled cone (with base radius 5 cm and height 12 cm), as shown in fte figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again.
A.	<table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 </center></td></tr><tr><td style="text-align: center;">12</td></tr></table>
B.	<table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 </center></td></tr><tr><td style="text-align: center;">24</td></tr></table>
C.	<table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>24 </center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
D.	<table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>10 </center></td></tr><tr><td style="text-align: center;">13</td></tr></table>
E.
Answer» E.

Discussion

50.	The Venn diagram shows the preference of the student population for leisure activities.
A.	44
B.	51
C.	79
D.	108
Answer» E.

Discussion

Explore topic-wise MCQs in Verbal Ability.

If q a = 1 /r and r b = 1 /s and s c = 1 /q of abc is. the value of abc is _______ .

A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1 :2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?

Given (9 inches)1/2 = (0.25 yards)1/2, which one of the following statements is TRUE?

The cost function for a product in a firm is given by 5q2, where q is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The number of units to be produced by the firm such that the profit is maximized is

The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four? BatsmanAverageStandard DeviationK31.25.21L46.06.35M54.46.22N17.95.90

A regular die has six sides with numbers 1 to 6 marked on its sides. If a very large number of throws show the following frequencies of occurrence: 1 0, 167; 2 0, 167; 3 0, 152; 4 0,166; 5 0,168; 6 0, 180. We call this die

What is the next number in the series? 12 , 35 81 , 173 , 357 ,____.

Find the next term in the sequence: 13M, 17O, 19S, _______

If x > y > 1, which of the following must be true? i. In x > In y ii. ex > ey ii. yx > xy iv. cos x > cosy

log tan 1 + log tan 2 + _____ + log tan 89 is 1

If a2 + b2 + c2 = 1, then ab + bc+ ac lies in the interval

Let S1 be the plane figure consisting of the points (x, y) given by the inequalities |x 1| 2 and |y + 2| 3. Let S2 be the plane figure given by the inequalities x y 2, y 1, and x 3. Let S be the union of S1 and S2. The area of S is

The value of the expression 1+1+1is -1 + loguVW1 + logvWU1 + logwUV

Right triangle PQR is to be constructed in the xy plane so that the right angle is at P and line PR is parallel to the-axis. The x and y coordinates of P, Q, and R are to be integers that satisfy the inequalities: -4 110 1,100 9,900 10,000

Fill in the missing number in the series. 2 3 6 15 _?_ 157.5 630

A political party orders an arch for the entrance to the ground in which the annual conventions is being held. The profile of the arch follows the equation y = 2x 0.1x2 where y is the height of the arch in meters. The maximum possible height of the arch is

In the given figure angle Q is a right angle, PS:QS = 3: 1, RT: QT = 5: 2 and PU: UR = 1 : 1. If area of triangle QTS is 20 cm, then the area of triangle PQR in cm2 is ________ .

Find the missing sequence in the letter series. B, FH, LNP, ________.

A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1 :2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a

Given (9 inches)

Which of the following curves represents the function y = (|e

M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels 5 km South and then 4 km South-East. What is the shortest distance (in km) between M and N at the end of their travel.

A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 m, the area of the window in m is

The volume of a sphere of diameter 1 unit is than the volume of a cube of side 1 unit.

There are 4 women P, Q, R, S and 5 men V, W, X, Y, Z in a group. We are required to form pairs each consisting of one woman and one man. P is not to be paired with Z, and Y must necessarily be paired with someone. In how many ways can 4 such pairs be formed?

P looks at Q while Q looks at R, P is married, R is not. The number of pairs of people in which a married person is looking at an unmarried person is

If a and b are integers and a b is even, which of the following must always be even?

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. during this process, the rectangle loses 650 m of area. What is the area of the original rectangle in square meters?

Find the missing group of letters in the following series: BC, FGH, LMNO

Let S1 be the plane figure consisting of the points (x, y) given by the inequalities |x 1| 2 and |y + 2| 3. Let S

For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log|a| + log|b| + log|c| = 0

Forty students watched films, A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?

An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the foilowing are the observations from the four trials:

The value of the expression

Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R are open for 4 hours. Then P is closed. The total time taken to fill the tank (in hours) is _____.

A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.

Given that a and b are integers and a + a2b3 is odd, which one of the following statements is correct?

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased by 10% from 2015 to 2016, the percentage increase in the actual fiscal deficit is

The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X and Y. What is the minimum possible value of P?

If IMHO = JNIP; IDK = JEL; and SO = TP, then IDC =

In a company with 100 employees, 45 earn Rs. 20000 per month, 25 earn Rs. 30000,20 earn Rs. 40000,8 earn Rs. 60000, and 2 earn Rs. 150000. The median of the salaries is

P, Q, and R talk about S's car collection, P states that S has at least 3 cars. Q believes that S has less than 3 cars, R says that to his knowledge, S has at least one car. Only one of P, Q and R is right. The number of cars owned by S is

A right-angled cone (with base radius 5 cm and height 12 cm), as shown in fte figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again.

The Venn diagram shows the preference of the student population for leisure activities.

If q^a = 1 /r and r^b = 1 /s and s_{c = 1 /q of abc is. the value of abc is _______ .}

Given (9 inches)^1/₂ = (0.25 yards)^1/₂, which one of the following statements is TRUE?

The cost function for a product in a firm is given by 5q², where q is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The number of units to be produced by the firm such that the profit is maximized is

The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four?

Batsman Average Standard Deviation
K 31.2 5.21
L 46.0 6.35
M 54.4 6.22
N 17.9 5.90

A regular die has six sides with numbers 1 to 6 marked on its sides. If a very large number of throws show the following frequencies of occurrence:
1 0, 167; 2 0, 167; 3 0, 152; 4 0,166; 5 0,168; 6 0, 180. We call this die

What is the next number in the series?
12 , 35 81 , 173 , 357 ,____.

Find the next term in the sequence:
13M, 17O, 19S, _______

If x > y > 1, which of the following must be true?
i. In x > In y
ii. e^x > e^y
ii. y^x > x^y
iv. cos x > cosy

If a² + b² + c² = 1, then ab + bc+ ac lies in the interval

Let S1 be the plane figure consisting of the points (x, y) given by the inequalities |x 1| 2 and |y + 2| 3. Let S₂ be the plane figure given by the inequalities x y 2, y 1, and x 3. Let S be the union of S₁ and S₂. The area of S is

The value of the expression
1 +
1 +
1 is -
1 + log_uVW 1 + log_vWU 1 + log_wUV

Right triangle PQR is to be constructed in the xy plane so that the right angle is at P and line PR is parallel to the-axis. The x and y coordinates of P, Q, and R are to be integers that satisfy the inequalities: -4

110

1,100

9,900

10,000

Fill in the missing number in the series.
2 3 6 15 _?_ 157.5 630

A political party orders an arch for the entrance to the ground in which the annual conventions is being held. The profile of the arch follows the equation y = 2x 0.1x² where y is the height of the arch in meters. The maximum possible height of the arch is