Arithmetical Reasoning Online Quiz



Following quiz provides Multiple Choice Questions (MCQs) related to Arithmetical Reasoning. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - In a family, total sum of ages of father and son is 56. After 4 years the age of father is will be 3 times that of his son. The fathers age is.

Options :

A - 22

B - 34

C - 44

D - 56

Answer : C

Explanation

Let, fathers age = x, age of son would be (56-x), (x+4) = 3(56 - x + 4)

x = 44, Hence, Option C is correct.

Q 2 - Suresh has some grapes when he bought it from a local market near Bhubaneswar. First bunch of grapes has (1/4) as many grapes as the second bunch. If the second bunch has 3 grapes less than the first bunch, then the number of grapes in the first bunch are

Options :

A - 12

B - 16

C - 15

D - 19

Answer : A

Explanation

Let the number of grapes in the second bunch be a. Then, the number of grapes in the first bunch

= a + (1/4) * a

= (5/4) * a

So,

(5/4) * a - a = 3

5a 4a = 12

a = 12.

Q 3 - Ronit Kumar can cover a distance in 1hr 24min by cycling by covering two third of the distance at four kilometre per hour and rest at a speed of one kilometre more than the previous. Find out the total distance.

Options :

A - 5

B - 6

C - 7

D - 9

Answer : B

Explanation

Distance = (2/3) S

distance = 1-2/3 S = (1/3)S

21/15 hr = (2/3) S/4 + (1/3) S /5

84 =(14/3)S x 3

S = 6km.

Q 4 - Two trains are running from Jamshedpur and Kanpur towards each other. Train from Jamshedpur takes 2 hours more than that of the train from Kanpur in covering a distance of 30 km. If Jamshedpur train doubles its speed, then it would take 1 hour less than that of Kanpur. Jamshedpur trains speed is?

Options :

A - 5

B - 4

C - 7

D - 8

Answer : A

Explanation

Let Jamshedpur train's speed be a km/hr. Then, according to the question if we put it in a mathematical formula then (30/a) (30/2a) = 3

6a = 30

a = 5 km/hr.

Q 5 - Sureshs father on his birthday told Suresh that he was of his present age when Suresh was born. If Sureshs father is 36 now, then how old was Suresh five years ago?

Options :

A - 15

B - 13

C - 17

D - 30

Answer : B

Explanation

Let Sureshs fathers age be x and Sureshs age be y.

Then, x y = y or x = 2y

Now, x = 36. So, 2y = 36 or y = 18.

Therefore Sureshs present age = 18 years. So, Sureshs age 5 years ago = 13 years.

Q 6 - 16 men and 20 boys can do a piece of work in 30 days. In how many days, 15 men and 15 boys will take to finish the work?

Options :

A - 174/9

B - 18

C - 40

D - 60

E - Other than the given options

Answer : A

Explanation

16 men = 20 boys

1 man = 5/4 boys

15 men = 75/4 boys

Total no of boys = 75/4 + 15 = 135/4

20 boys = 30 days

135/4 boys = 30 × 20 × 4 /135 = 17 7/9 days

Q 7 - When Raghav Swain was born, his father Harivansh Swain was 32 years older than his brother Ranjit and his mother Urmila was 25 years older than his sister Sharmistha. If Ranjit is 6 years older than Rahul and Mrs Urmila Swain is 3 years younger than Mr. Harivansh, how old was Sharmistha when Rahul was born?

Options :

A - 10 years

B - 18 years

C - 15 years

D - 13 years

Answer : A

Explanation

When Rahul was born,

his brother Ranjits age = 6 years,

his father Harivanshs age = ( 6 + 32 ) = 38 years.

His mother Urmilas age = ( 38 - 3) years = 35 years.

His sister Sharmisthas age = ( 35 - 25 ) years = 10 years.

Hence, option A.

Q 8 - P is able to complete a certain task in 6 days and Q can do it within 8 days. P and Q agreed to do the task together for Rs. 4000. R joined them and they finished the task within 3 days. How much is to be paid to R?

Options :

A - Rs.300

B - Rs.700

C - Rs.400

D - Rs.500

Answer : D

Explanation

$Work \: done \: by \: R \: in \: one \: day \: = \: \frac{1}{3} - \lgroup\frac{1}{6} + \frac{1}{8}\rgroup = \frac{1}{3} - \frac{7}{24} = \frac{1}{24}$

$P's share \: : \: Q's share \: : \: R's Share \: = \: \frac{1}{6} : \frac{1}{8} : \frac{1}{24} = 4 \: : \: 3 \: : \: 1$

$\therefore \: R's \: share \: for \: 3 \: days \:= \: Rs.\lgroup3*\frac{1}{24}*4000\rgroup \: = \: Rs.500.$

Q 9 - Shikhar and his friend Shashanks age 5 years ago was 42 years. 6 years hence what will be their age?

Options :

A - 60

B - 62

C - 64

D - 66

Answer : C

Explanation

5 years + 6 years total 11 years. 11 × 2 = 22 years. So, 42 + 22 = 64.

Q 10 - A data is given regarding the number of pens of a local company sold in a fortnight.

15 14 16 12 15 12 18 19 16 12 15 18 17 71 19

Find the mean?

Options :

A - 19

B - 19.26

C - 20

D - 20.26

Answer : B

Explanation

Adding all the numbers and dividing it with 15 we get 19.26 which is mean.

reasoning_arithmetical.htm
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