Verbal Reasoning

Arithmetic Reasoning - Expert Level

Verbal Reasoning Exercise Mode

Arithmetic Reasoning - Expert Level

Practice and master this topic with our carefully crafted questions.

10 Questions
15 Minutes
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Question 21
There are n boxes and m fruits. If we put 3 fruits in each box 3 fruits will be excess. If we put 4 fruits in each box 1 box will be excess. Find number of boxes and fruits ?

A
3 & 9
B
6 & 19
C
7 & 24
D
5 & 18
Correct Answer: Option C

7 boxes & 24 Balls.

Let, n = No. of boxes ; m = No. of fruits

3n+3 = m---------->(1)

4(n-1)= m---------->(2)

=>4n-4 = 3n+3;

=>4n-3n = 4+3

n = 7

Put n=7 in eqn(1)

=> 3(7)+3 = m

21+3 = m

m = 24;

Number of boxes = 7 and fruits = 24

Question 22
If 200 cats kill 200 mice in 200 days, then 8 cats would kill 8 mice in how many days ?

A
8 days
B
200 days
C
800 days
D
1 day
Correct Answer: Option B

As given

200 cats kill 200 mice in 200 days

1 cats kill 1 mouse in 200 days

Then

8 cats kill 8 mice in 200 days.

Question 23
The price of commodity X increases by 60 rupees every year, while the price of commodity Y increases by 20 rupees every year. If in 2002, the price of commodity X was Rs. 320 and that of Y was Rs. 740, in which year commodity X will cost 60 rupees more than the commodity Y ?

A
2011
B
2014
C
2012
D
2017
Correct Answer: Option B

If After p years , commodity X will cost 60 rupees more than the commodity Y, then

320 + 60p = 740 + 20p + 60

=> p = 12

So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.

Question 24
In a street, there are certain number of houses. People in that street are decided to paint their houses with certain colours. If four houses are painted with each colour, then one house will be left without any colour. If five houses are painted with each colour, then one colour will remain. Find the number of houses in that street ?

A
25
B
6
C
32
D
7
Correct Answer: Option A

Let X be number of houses and y be colors.

on the basis of question

X = 4Y+1

X = 5(Y-1)

on solving these 2 equations X = 25

Question 25
Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?

A
240 gms
B
280 gms
C
180 gms
D
170 gms
Correct Answer: Option A

The nine pieces consist of 8 smaller equal pieces and one half cake piece.

Weight of each small piece = 15 g.

So, total weight of the cake = [2 x (15 x 8)]g = 240 g.

Question 26
At what time will B catch up with A, if A starts from a place at 11.00 A.M. and travels at a speed of 3.5 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on.

A
8 : 47 pm
B
6 : 40 pm
C
8 : 42 pm
D
7 : 40 pm
Correct Answer: Option D

At 1 pm ... Distance between A and B = 2x3.5 = 7 kms

At 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kms

At 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.

....

....

....

At 7 pm distance between A and B = 3 kms.

From 7 pm to 8 pm, speed of A = 3.5 kmph

speed of B = 8 kmph

Relative speed = 4.5 kmph

Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins.

So meeting time is 7 : 40 PM.

Question 27
What is the time required to punch 1500 cards of 45 column each at the rate of 9,000 punches per hour ?

A
8 hrs
B
7 hrs 15 min
C
7 hrs 30 min
D
8 hrs 20 min
Correct Answer: Option C

Total number of cards = 1500

Total columns = 45

so, total punches=1500 x 45 = 67500

for 1 hour if we make 9000 punches,

we require 67500/9000 = 7.5

so 7hours:30mins.

Question 28
Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x' ?

A
4
B
10
C
8
D
5
Correct Answer: Option D

If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.

V - x = A + x --- (1)

If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.

V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)

From (1) we have V - A = 2x

Substituting V - A = 2x in (2)

6x = 30 => x = 5.

Question 29
There are five bags. In the first bag we put some fruits. Each bag the number of fruits is reduced by 1/4. The last bag contains 4. Then the number of fruits in the first bag is ?

A
2596
B
1024
C
256
D
64
Correct Answer: Option B

Fruits reduced by 1/4.

Total no. of bags N = 5

Formula to find no. of fruits in 1st bag = 4^n

Last Bag = 4 fruits.

That means, 4th bag = 4 x 4 = 16 fruits

3rd bag = 16 x 4 = 64 fruits

2nd bag = 64 x 4 = 256 fruits

1st bag = 256 x 4= 1024 fruits.

Question 30
On sport’s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner ?

A
44
B
46
C
48
D
49
Correct Answer: Option C

No. of students will be 98 x 12 = 1176

let us consider n circles then 1 + 2 + 3 + ....+ n = 1176

n(n+1)/2 = 1176

n = 48 circles.

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