Chap 1 arithmetical reasoning

Chapter 1 Arithmetical Reasoning
Compete for Excellence
By:
Er. Amit Kumar Yadav
Section Officer
Federal Parliament
Government of Nepal
SET A
1. The total of the ages of Amar, Akbar and
Anthony is 80 years. What was the total of
their ages three years ago ?
A. 71 years
B. 72 years
C. 74 years
D. 77 years
Answer: Option A
2. 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
Answer: Option B
3. An institute organised a fete and 1/5 of the
girls and 1/8 of the boys participated in the
same. What fraction of the total number of
students took part in the fete ?
A. 2/13
B. 13/40
C. Data inadequate
D. None of these
Answer: Option C
Solution:
No answer description available for this
question.
4. A number of friends decided to go on a
picnic and planned to spend Rs. 96 on
eatables. Four of them, however, did not
turn up. As a consequence, the remaining
ones had to contribute Rs. 4 each extra.
The number of those who attended the
picnic was
A. 8
B. 12
C. 16
D. 24
Answer: Option A
Solution:
5. A, B, C, D and E play a game of cards. A
says to B, "If you give me three cards, you
will have as many as E has and if I give you
three cards, you will have as many as D
has." A and B together have 10 cards more
than what D and E together have. If B has
two cards more than what C has and the
total number of cards be 133, how many
cards does B have ?
A. 22
B. 23
C. 25
D. 35
Answer: Option C
6. A pineapple costs Rs. 7 each. A
watermelon costs Rs. 5 each. X spends Rs.
38 on these fruits. The number of
pineapples purchased is
A. 2
B. 3
C. 4

D. Data inadequate
Answer: Option C
Solution:
7. A woman says, "If you reverse my own
age, the figures represent my husband's
age. He is, of course, senior to me and
the difference between our ages is one-
eleventh of their sum." The woman's age
is
A. 23 years
B. 34 years
C. 45 years
D. None of these
Answer: Option C
8. A girl counted in the following way on the
fingers of her left hand : She started by
calling the thumb 1, the index finger 2,
middle finger 3, ring finger 4, little finger 5
and then reversed direction calling the
ring finger 6, middle finger 7 and so on.
She counted upto 1994. She ended
counting on which finger ?
A. Thumb
B. Index finger
C. Middle finger
D. Ring finger
Answer: Option B
9. A man has Rs. 480 in the denominations
of one-rupee notes, five-rupee notes and
ten-rupee notes. The number of notes of
each denomination is equal. What is the
total number of notes that he has ?
A. 45
B. 60
C. 75
D. 90
Answer: Option D
10. What is the product of all the numbers
in the dial of a telephone ?
A. 1,58,480
B. 1,59,450
C. 1,59,480
D. None of these
Answer: Option D
11. A is 3 years older to B and 3 years
younger to C, while B and D are twins.
How many years older is C to D?
A. 2
B. 3
C. 6
D. 12
Answer: Option C.
12. The 30 members of a club decided to
play a badminton singles tournament.
Every time a member loses a game he is
out of the tournament. There are no ties.
What is the minimum number of matches
that must be played to determine the
winner ?
A. 15
B. 29
C. 61
D. None of these
Answer: Option B
13. In a garden, there are 10 rows and 12
columns of mango trees. The distance
between the two trees is 2 metres and a
distance of one metre is left from all
sides of the boundary of the garden. The
length of the garden is
A. 20 m
B. 22 m
C. 24 m
D. 26 m
Answer: Option C.

14. 12 year old Manick is three times as old
as his brother Rahul. How old will Manick
be when he is twice as old as Rahul ?
A. 14 years
B. 16 years
C. 18 years
D. 20 years
Answer: Option B
15. A tailor had a number of shirt pieces to cut
from a roll of fabric. He cut each roll of
equal length into 10 pieces. He cut at the
rate of 45 cuts a minute. How many rolls
would be cut in 24 minutes ?
A. 32 rolls
B. 54 rolls
C. 108 rolls
D. 120 rolls
Answer: Option D
16. In a class of 60 students, the number of
boys and girls participating in the annual
sports is in the ratio 3 : 2 respectively. The
number of girls not participating in the
sports is 5 more than the number of boys
not participating in the sports. If the
number of boys participating in the sports
is 15, then how many girls are there in the
class ?
A. 20
B. 25
C. 30
D. Data inadequate
E. None of these
Answer: Option C
17. There are deer and peacocks in a zoo. By
counting heads they are 80. The number
of their legs is 200. How many peacocks
are there ?
A. 20
B. 30
C. 50
D. 60
Answer: Option D
18. A man wears socks of two colours - Black
and brown. He has altogether 20 black
socks and 20 brown socks in a drawer.
Supposing he has to take out the socks in
the dark, how many must he take out to
be sure that he has a matching pair ?
A. 3
B. 20
C. 39
D. None of these
Answer: Option A.
19. 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. 4
B. 8
C. 12
D. 24
Answer: Option D
20. Mac has £ 3 more than Ken, but then Ken
wins on the horses and trebles his money,
so that he now has £ 2 more than the
original amount of money that the two
boys had between them. How much
money did Mac and Ken have between
them before Ken's win ?
A. £ 9
B. £ 11
C. £ 13
D. £ 15
Answer: Option C

21. In a class, there are 18 boys who are over
160 cm tall. If these constitute three-
fourths of the boys and the total number of
boys is two-thirds of the total number of
students in the class, what is the number
of girls in the class ?
A. 6
B. 12
C. 18
D. 24
Answer: Option B
22. 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. 12
B. 15
C. 18
D. 20
Answer: Option B
23. A waiter's salary consists of his salary
and tips. During one week his tips were
5/4 of his salary. What fraction of his
income came from tips ?
A. 4/9
B. 5/4
C. 5/8
D. 5/9
Answer: Option D
Solution:
If you write down all the numbers from 1
24. to 100, then how many times do you write
3 ?
A. 11
B. 18
C. 20
D. 21
Answer: Option C
25. If 100 cats kill 100 mice in 100 days, then
4 cats would kill 4 mice in how many days
?
A. 1 day
B. 4 days
C. 40 days
D. 100 days
Answer: Option D
Solution:
Set- B
1. A student got twice as many sums
wrong as he got right. If he
attempted 48 sums in all, how
many did he solve correctly ?
A. 12
B. 16
C. 18
D. 24
Answer: Option B
David gets on the elevator at the 11th floor

2
.
of a building and rides up at the rate of 57
floors per minute. At the same time, Albert
gets on an elevator at the 51st floor of the
same building and rides down at the rate of
63 floors per minute. If they continue
travelling at these rates, then at which floor
will their paths cross ?
A. 19
B. 28
C. 30
D. 37
Answer: Option C
Solution:
3. I have a few sweets to be distributed. If I
keep 2, 3 or 4 in a pack, I am left with
one sweet. If I keep 5 in a pack, I am left
with none. What is the minimum number
of sweets I have to pack and distribute ?
A. 25
B. 37
C. 54
D. 65
Answer: Option A
4.If a clock takes seven seconds to strike
seven, how long will it take to strike ten ?
A. 7 seconds
B. 9 seconds
C. 10 seconds
D. None of these
Answer: Option D
Solution:
5. In a group of cows and hens, the number of
legs are 14 more than twice the number of
heads. The number of cows is
A. 5
B. 7
C. 10
D. 12
Answer: Option B
6. A father tells his son, "I was of your present
age when you were born". If the father is
36 now, how old was the boy five years
back ?
A. 13
B. 15
C. 17
D. 20
Answer: Option A.
7. A fires 5 shots to B's 3 but A kills only
once in 3 shots while B kills once in 2
shots. When B has missed 27 times, A
has killed
A. 30 birds
B. 60 birds
C. 72 birds
D. 90 birds
Answer: Option A
Solution:

8. In a class, 3/5 of the students are girls and
rest are boys. If 2/9 of the girls and 1/4 of
the boys are absent, what part of the total
number of students is present ?
A. 17/25
B. 18/49
C. 23/30
D. 23/36
Answer: Option C
Solution:
9. In a family, a couple has a son and a
daughter. The age of the father is three
times that of his daughter and the age of
the son is half of that of his mother. The
wife is 9 years younger to her husband and
the brother is seven years older than his
sister. What is the age of the mother ?
A. 40 years
B. 45 years
C. 50 years
D. 60 years
Answer: Option D
10. If a 1 mm thick paper is folded so that the
area is halved at every fold, then what
would be the thickness of the pile after 50
folds ?
A. 100 km
B. 1000 km
C. 1 million km
D. 1 billion km
Answer: Option D
11. First bunch of bananas has (1/4)
again as many bananas as a second
bunch. If the second bunch has 3
bananas less than the first bunch,
then the number of bananas in the
first bunch is
A. 9
B. 10
C. 12
D. 15
Answer: Option D
Solution:
12. Mr. X, a mathematician, defines a
number as 'connected with 6 if it is
divisible by 6 or if the sum of its digits
is 6, or if 6 is one of the digits of the
number. Other numbers are all 'not
connected with 6'. As per this
definition, the number of integers from
1 to 60 (both inclusive) which are not
connected with 6 is
A. 18
B. 22
C. 42
D. 43
Answer: Option D

13. Find the number which when added to
itself 13 times, gives 112.
A. 7
B. 8
C. 9
D. 11
Answer: Option B
14. 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. 120 grams
B. 140 grams
C. 240 grams
D. 280 grams
E. None of these
Answer: Option C
15. A total of 324 coins of 20 paise and
25 paise make a sum of Rs. 71. The
number of 25-paise coins is
A. 120
B. 124
C. 144
D. 200
Answer: Option B
16. A player holds 13 cards of four suits,
of which seven are black and six are
red. There are twice as many
diamonds as spades and twice as
many hearts as diamonds. How many
clubs does he hold ?
A. 4
B. 5
C. 6
D. 7
Answer: Option C
17. The taxi charges in a city comprise of
a fixed charge, together with the
charge of the distance covered. For a
journey of 16 km, the charges paid
are Rs. 156 and for a journey of 24
km, the charges paid are Rs. 204.
What will a person have to pay for
travelling a distance of 30 km?
A. Rs. 236
B. Rs. 240
C. Rs. 248
D. Rs. 252
Answer: Option B
18. If every 2 out of 3 readymade shirts
need alterations in the sleeves, and
every 4 out of 5 need it in the body,
how many alterations will be required
for 60 shirts ?
A. 88
B. 123
C. 133
D. 143
Answer: Option C
Solution:
19. At the end of a business conference
the ten people present all shake
hands with each other once. How
many handshakes will there be
altogether ?
A. 20
B. 45
C. 55
D. 90
Answer: Option B

Chap 1 arithmetical reasoning

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Chap 1 arithmetical reasoning