Verbal Reasoning

Arithmetic Reasoning - Base Level

Verbal Reasoning Exercise Mode

Arithmetic Reasoning - Base Level

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Question 11
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

A
Rs. 4, Rs. 23
B
Rs. 13, Rs. 17
C
Rs. 15, Rs. 14
D
Rs. 17, Rs. 13
Correct Answer: Option B

Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.
Then, 2x + 3y = 77 ...(i) and
3x + 2y = 73 ...(ii)
Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.
Putting y = 17 in (i), we get: x = 13.

Question 12
A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether?

A
54
B
84
C
104
D
108
Correct Answer: Option C

Since each pole at the corner of the plot is common to its two sides.
Therefore total number of poles needed = 27 × 4 - 4 = 104.

Question 13
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now number of men and women is equal. In the beginning, how many passengers entered the bus?

A
25
B
35
C
45
D
55
Correct Answer: Option C

Originally, let number of women = x. Then number of men = 2x.
So, in city Y, we have (2x - 10) = (x + 5 ) or x = 15.
Total number of passengers in the beginning = ( x + 2x) = 3x = 45.

Question 14
A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle?

A
12
B
24
C
48
D
60
Correct Answer: Option B

Total number of routes from Bristol to Carlisle = ( 4 × 3 × 2) = 24.

Question 15
Find the number which when added to itself 13 times, gives 112.

A
5
B
6
C
7
D
8
Correct Answer: Option D

Let the number be x.
Then x + 13x = 112 ‹=›14x = 112 ‹=› x = 8.

Question 16
The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class?

A
40
B
42
C
44
D
46
Correct Answer: Option B

Let number of girls = x and number of boys = 3x.
Then, 3x + x = 4x = total number of students.
Thus, to find exact value of x,
The total number of students must be divisible by 4.

Question 17
Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start?

A
5 times
B
6 times
C
7 times
D
8 times
Correct Answer: Option D

L.C.M. of 6,5,7,10 and 12 is 420.
So, the bells will toll together after every 420 seconds. i.e. 7 minutes.
Now 7 × 8 = 56 and 7 × 9 = 63.
Thus, in 1 hour( or 60 minutes), the bells will toll together 8 times, excluding the one at the start.

Question 18
In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

A
18
B
36
C
45
D
None of these
Correct Answer: Option D

Let R, G and B represent the number of balls in red, green and blue boxes respectively.
Then,
R + G + B = 108 ...(i),
G + R = 2B ...(ii)
B = 2R ...(iii)
From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.
Putting G = 3R and B = 2R in (i), we get:
R + 3R + 2R = 108 => 6R = 108 => R = 18.
Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

Question 19
Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake?

A
100 grams
B
150 grams
C
200 grams
D
240 grams
Correct Answer: Option D

The seven pieces consist of 6 smaller equal pieces and one calf cake piece.
Weight of each small piece = 20 g.
So, total weight of the cake = [2 × (20 × 6)]g = 240g.

Question 20
A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son(in years) is

A
10
B
12
C
15
D
18
Correct Answer: Option C

Let son’s age be x years.
Then father’s age = (3x) years.
Five years ago, father’s age = (3x - 5) years and
Son’s age = (x - 5) years.
So 3x - 5 = 4 (x - 5)‹=›3x - 5 = 4x - 20 ‹=› x = 5.

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