# ARITHMETICAL REASONING (CALCULATION-BASED PROBLEMS)

as Sunita. How old is Reena now ?    (I. Tax & Central Excise, 1995)
(a) 6 years
(6) 7 years
(c) 8 years
(d) 12 years

Sol. Let Sunita s present age be x years.
Then, Reena's present age * 2x years.
Three years ago, Sunita's age = (* - 3) and Reena's age = (2x - 3).
So, (2x - 3) - 3(x - 3)    or    2x - 3 - 3x - 9    or    x - 6.
Reena s present age = 2x = 12 years.

MCQ TYPE - 02. The age of a father is twice that of the elder son. Ten years hence the age
of the father will be three times that of the younger son. If the difference of
ages of the two sons is 15 years, the age of the father is -
(a) 50 years
(6) 55 years
(c) 60 years
(d) 70 years

Sol. Let the age of the elder son be x.
Then, age of younger son = (* - 15); and
age of the father = 2x.
So, 2r + 10 = 3(* - 15 + 10) or 2x+ I0 = 3x - 15 or x = 25.
Father's age * 2 x ~ 5 0 years.

MCQ TYPE - 03.  If  Mary can build 22 tables in 14 days, and Cynthia can build 22 tables in 16 days, how long will it take them to build 22 tables together?
a.    9.5 days
c.    15 days
b.    7.5 days
d.    8 days
Ans:b

MCQ TYPE - 04. You just paid a tax of tk 88 on a product at tk 28,000. Your friend, assessed at the
same rate, paid a tax of tk 110. What was the assessed value of your friend’s product ?
a.tk 22,400
c.tk 35,000
b.tk 32,400
d.tk 31,000
Ans: c

MCQ TYPE - 05. What is the interest on BDT600 at 8% for 30 days?
a.BDT 4
c.BDT 7.50
b.BDT 11.52
d.BDT 4.80
Ans: a

MCQ TYPE - 06. In a chess tournament each of six players will play every other player exactly
once. How many matches will be played during the tournament ?               (C.B.L 1995)
(a) 12
(6) 15
(c) 30
(d) 36

Sol.    Clearly, we will consider the following matches :
(i)    matches of first player w i t h other 5 players;
(ii)    matches of second player with 4 players other t h a n the first player;
(iii)    matches of t h i r d player with 3 players other than the first and second players;
(iv)    matches of fourth player with 2 players other than the first three players; and
(v)    match of fifth player with the sixth one.
So, number of matches played during the tournament = 5 + 4 + 3 + 2 + 1 = 15

MCQ TYPE - 07. A worker may claim Rs 15 for each km which he travels by taxi and Rs 5
for each km which he drives his own car. If in one week he claimed Rs 500
for travelling 80 km how many kms did he travel by taxi ?
(a) 10
(b) 20
(c) 30
(d) 40

Sol.    Let the distance covered by taxi be x km.
Then, distance covered by car = (80 - x) km.
15x + 5(80 - x) = 500
or, 15x + 400 - 5x = 500
or, l Q x - 1 0 0 or x= 10
Distance covered by taxi = 10 km