Verbal Reasoning - Arithmetical Reasoning
Exam Duration: 60 Mins Total Questions : 30
A shepherd had 17 sheep. All but nine died. How many was he left with ?
- (a)
Nil
- (b)
8
- (c)
9
- (d)
17
The 30 members of club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. These 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
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
First bunch of bananas has \(1\over4\) 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
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
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
The total number of digits used in numbering the pages of a book having 366 pages is
- (a)
732
- (b)
990
- (c)
1098
- (d)
1305
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
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 8.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
- (a)
4 p.m.
- (b)
5 p.m.
- (c)
6 p.m.
- (d)
None of these
In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children in 2 : 3, then what percent of the population is literate?
- (a)
20%
- (b)
25%
- (c)
50%
- (d)
75%
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.
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
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.
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 minutes. How many rolls would be cut in 24 minutes?
- (a)
32 rolls
- (b)
54 rolls
- (c)
108 rolls
- (d)
120 rolls
A bag contains coins of four different denominations, viz. 1 rupee, 50-paise, 25-paise and 10-paise. There are as many 50-paise coins as the value of 25-paise coins in rupees. The value of 1-rupee coins is 5 times the value of 50-paise coins. The ratio of the number of 10-paise coins to that of 1-rupee coins is 4 : 3, which the total number of coins in the bag is 325.
What is the value of 50-paise coins ?
- (a)
Rs. 10
- (b)
Rs. 15
- (c)
Rs. 20
- (d)
Rs. 30
A bag contains coins of four different denominations, viz. 1 rupee, 50-paise, 25-paise, and 10-paise. There are as many 50-paise coins as the value of 25-paise coins in rupees. The value of 1-rupee coins is 5 times the value of 50-paise coins. The ratio of the number of 10-paise coins to that of 1-rupee coins is 4 : 3, which the total number of coins in the bag is 325.
What is the ratio of 50-paise coins to 25-paise coins?
- (a)
1 : 4
- (b)
2 : 5
- (c)
2 : 3
- (d)
1 : 3
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
In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined, and B and C scored 107 between them. How many runs did E score?
- (a)
62
- (b)
45
- (c)
28
- (d)
20
An egg vendor calls on his first customer and sells half his eggs half an egg. To the second customer, he sells half of what he was left with and half an egg, and to the third customer, he sells half of what he was then left with and half an egg. However, he did not break any egg. If, in the end, the vendor was left with three eggs, how many eggs did he have initially ?
- (a)
26
- (b)
31
- (c)
39
- (d)
None of these
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
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 of 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
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 passed at least in one subject?
- (a)
450
- (b)
390
- (c)
304
- (d)
167
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
Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
- (a)
10 years
- (b)
38 years
- (c)
39 years
- (d)
64 years
A is three times as old as B. C was twice as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C?
- (a)
9, 46
- (b)
9, 50
- (c)
10, 46
- (d)
10, 50
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
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
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 all the three newspapers is
- (a)
1
- (b)
4
- (c)
5
- (d)
6
Consider the Venn diagram given below :
The number in the Venn diagram indicates the number of persons reading the newspapers. The diagram is drawn after surveying 50 persons. In a population of 10,000, how many can be expected to read at least two newspapers ?
- (a)
5000
- (b)
5400
- (c)
6000
- (d)
6250