Verbal Reasoning - Arithmetical Reasoning
Exam Duration: 60 Mins Total Questions : 30
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
A student got twice as many sums wrong as he got right. If he attempeted 48 sums in all, how many did he solve correctly ?
- (a)
12
- (b)
16
- (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
An enterprising businessman earns an income of Re. 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. One the 10th day of business, his income is
- (a)
Rs. \(2^{9}\)
- (b)
Rs. \(2^{10}\)
- (c)
Rs. 10
- (d)
Rs. \(10^{2}\)
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
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
In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements?
- (a)
Only 20% of the total members own three cars each.
- (b)
48% of the total members own only one car each.
- (c)
60% of the total members own at least two cars each.
- (d)
80% of the total members own at least one car.
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.
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
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 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 total value of coins in the bag?
- (a)
Rs. 130
- (b)
Rs. 140
- (c)
Rs. 150
- (d)
Rs. 160
After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would been left equal distribution. What was the total number of sweets?
- (a)
328
- (b)
348
- (c)
358
- (d)
Data inadequate
Between two book-ends in your study are displayed your five favourite puzzle books. If you decide to arrange the five books in every possible combination and moved just one book every minute, how long would it take you ?
- (a)
1 hour
- (b)
2 hours
- (c)
3 hours
- (d)
4 hours
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
Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start ?
- (a)
7 times
- (b)
8 times
- (c)
9 times
- (d)
11 times
At the fair I bought 6 erasers and 2 pens for Rs. 15. If I could have bought 4 more erasers for Rs. 14 than pens for Rs. 9, the price of a pen was
- (a)
Rs. 1.50
- (b)
Rs. 1.75
- (c)
Rs. 2.25
- (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
Robin says, "If Jai gives me Rs. 40, he will have half as much as Atul, but if Atul gives me Rs. 40, then the three of us will all have the same amount." What is the total amount of money that Robin, Jai, and Atul have between them ?
- (a)
Rs. 240
- (b)
Rs. 320
- (c)
Rs. 360
- (d)
Rs. 420
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 group of cows are 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
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 Social Science only?
- (a)
15
- (b)
21
- (c)
30
- (d)
42
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
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
- (a)
23 years
- (b)
25 years
- (c)
33 years
- (d)
35 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
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
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 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
There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hindi, how many can speak only Hindi and how many can speak only English?
- (a)
39, 29 and 11 respectively
- (b)
37, 27 and 13 respectively
- (c)
28, 18 and 22 respectively
- (d)
21, 11 and 29 respectively
Out of a total of 120 musicians in a culb, 5% can play all the three instruments - guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone ?
- (a)
30
- (b)
38
- (c)
44
- (d)
45
Mr. Johnson was to earn pounds 300 and a free holiday for seven weeks' work. He worked for only 4 weeks and earned pounds 30 and a free holiday. What was the value of the holiday?
- (a)
300 pounds
- (b)
330 pounds
- (c)
360 pounds
- (d)
420 pounds
Mac has 3 pounds more than Ken, but then ken wins on the horses and trebles his money, so that he now has 2 pounds 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 pounds
- (b)
11 pounds
- (c)
13 pounds
- (d)
15 pounds