Arithmetical Reasoning
Exam Duration: 45 Mins Total Questions : 30
A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all ?
- (a)
9
- (b)
18
- (c)
27
- (d)
36
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
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
A placed three sheets with two carbons to get two extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. Then he typed. How many carbon copies did he get?
- (a)
1
- (b)
2
- (c)
3
- (d)
4
If you write down all the numbers from 1 to 100, then how many times do you write 3 ?
- (a)
11
- (b)
18
- (c)
20
- (d)
21
A printer numbers the pages of a book starting which 1 and uses 3189 digits in all. How many pages does the book have?
- (a)
1000
- (b)
1074
- (c)
1075
- (d)
1080
In a garden, there are 10 rown 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
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)
100
- (b)
104
- (c)
108
- (d)
None of these
In a class, \(3\over5\)of the students are girls and rest are boys. If \(2\over9\)of the girls and \(1\over4\)of the boys are absent, what part of the total number of students is present?
- (a)
\(17\over25\)
- (b)
\(18\over49\)
- (c)
\(23\over30\)
- (d)
\(23\over36\)
Find the number which when added to itself 13 times, gives 112.
- (a)
7
- (b)
8
- (c)
9
- (d)
11
If every 2 out of 3 readymade shirts need alternations in the sleeves, and every 4 out of 5 need it in the body, how many alternations will be required for 60 shirts?
- (a)
24
- (b)
123
- (c)
133
- (d)
143
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)
15
- (b)
30
- (c)
36
- (d)
45
Seven poles A, B, C, D, E, F, and G are put in such a way that the distance between the next two decreases by 1 metre. The distance between the first two poles, A and B, is 10 metres.
What is the distance between the first pole A and the last pole G?
- (a)
40 m
- (b)
45 m
- (c)
49 m
- (d)
None of these
Seven poles A, B, C, D, E, F and G are put in such a way that the distance between the next two decreases by 1 metre. The distance between the first two poles, A and B, is 10 metres.
If a monkey hops from pole G to pole C, then how much distance did it cover?
- (a)
19 m
- (b)
22 m
- (c)
26 m
- (d)
None of these
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
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
A bowl of sweets was placed on a table to be distributed among three brothers - Rajan, Sajal, and Karan. Rajan arrived first and ate what he thought was his share of sweets and left. Then, Sajal arrived. He thought that he was the first one to arrive and ate the number of sweets, he thought was his share and left. Lastly, Karan arrived. He again thought he was the first one to arrive and he took what he thought was his share. If 16 sweets are left in the bowl finally, how many sweets did the bowl contain initially?
- (a)
27
- (b)
36
- (c)
48
- (d)
54
One night, three naughty boys stole a basketful of apples from the garden, hid the root and went to sleep. Before retiring they did some quick counting and found that the fruits were less than a hundred in number. During the night one boy awoke, counted the apples and found that he could divide the apples into three equal parts if he first took one for himself. He then took one apple, ate it up and took \(\frac { 1 }{ 3 } \) of the remainder, hid them separately and went back to sleep. The third boy also awoke after sometime, did the same and went back to sleep. In the morning, when all woke up, and counted apples, they found that the remaining apples again totaled 1 more than could be divided into three equal parts. How many apples did the boy steal ?
- (a)
67
- (b)
79
- (c)
85
- (d)
None of these
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 up to 1994. She ended counting on which finger?
- (a)
Thumb
- (b)
Index finger
- (c)
Middle finger
- (d)
Ring finger
In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is
- (a)
5
- (b)
8
- (c)
10
- (d)
15
Data on 450 candidates, who took an examination is Social Science, Mathematics and Science is given below :
Passed in all the subjects 167
Failed in all the subjects 60
Failed in Social Sciences 175
Failed in Mathematics 199
Failed in Science 191
Passed in Social Sciences only 62
Passed in Mathematics only 48
Passed in Science only 52
How many failed in one subject only ?
- (a)
152
- (b)
144
- (c)
61
- (d)
56
Data on 450 candidates, who took an examination is Social Science, Mathematics and Science is given below :
Passed in all the subjects 167
Failed in all the subjects 60
Failed in Social Sciences 175
Failed in Mathematics 199
Failed in Science 191
Passed in Social Sciences only 62
Passed in Mathematics only 48
Passed in Science only 52
How many passed at least in one subject?
- (a)
450
- (b)
390
- (c)
304
- (d)
167
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
Today is Varun's birthday. One year from today he will be twice as old as he was 12 years ago. How old is Varun today ?
- (a)
20 years
- (b)
22 years
- (c)
25 years
- (d)
27 years
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
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
Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ?
- (a)
32 years, 23 years
- (b)
32 years, 29 years
- (c)
35 years, 29 years
- (d)
35 years, 33 years
In a town, 65% people watched the news on television, 40% read a newspaper and 25% read a newspaper and watched the news on television also. What percent of the people neither watched the news on television nor read a newspaper ?
- (a)
5
- (b)
10
- (c)
15
- (d)
20
In a group of 15 people, 7 read French, 8 read English while 3 of them read none of these two. How many of them read French and English both?
- (a)
0
- (b)
3
- (c)
4
- (d)
5
A publishing firm publishes newspapers A, B and C. In an effort to persuade advertisers to insert advertisement in these newspapers, the firm sends out the following statement to possible advertisers :
A survey of representative sample of the whole population shows that -
Newspaper A is read by 26%;
Newspaper B is read by 25%;
Newspaper C is read by 14 %;
Newspapers A and B are read by 11%;
Newspapers B and C are read by 10 %;
Newspapers C and A are read by 9 %;
Newspaper C only is read by 0%.
The percentage of readers who read A and B but not C, is
- (a)
2
- (b)
4
- (c)
5
- (d)
6