1.
A dice is rolled three times and the sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was a four is
2.
A boat covers a distance of 30 km downstream in 2 hours while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in km per hour?
3.
Weekly incomes of two persons are in the ratio of 7:3 and their weekly expenses are in the ratio of 5: 2. If each of them saves Rs. 300 per week, then the weekly income of the first person is:
4.
A five-digit number is formed by using the digits 1, 2, 3, 4, and 5 without repetitions. What is the probability that the number is divisible by 4?
5.
If the algebraic sum of deviations of 20 observations measured from 23 is 70, mean of these observations would be:
6.
Wheat is now being sold at Rs. 27 per kg. During last month its cost was Rs. 24 per kg. Find by how much percent a family reduces its consumption so as to keep the expenditure fixed.
7.
An alloy of gold and silver weighs 50 gms. It contains 80% gold. How much gold should be added to the alloy so that percentage of gold is increased to 90?
8.
There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is:
9.
The radius of a circle is so increased that its circumference increased by 5%. The area of the circle then increases by:
10.
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
11.
In 4 years, Rs. 6000 amounts to Rs. 8000. In what time at the same rate will Rs. 525 amount to Rs. 700?
(a)
(b)
(c)
(d)
12.
At the start of a game of cards, J and B together had four times as much money as T, while T and B together had three times as much as J.
At the end of the evening, J and B together had three times as much money as T, while T and B together had twice as much as J. B lost Rs. 200.
What fraction of the total money did T have at the beginning of the game?
13.
If a and b are negative, and c is positive, which of the following statements is/are true?
I. a–b < a–c
II. if a < b, then a/c < b/c
III. 1/b < 1/c
14.
At the start of a game of cards, J and B together had four times as much money as T, while T and B together had three times as much as J.
At the end of the evening, J and B together had three times as much money as T, while T and B together had twice as much as J. B lost Rs. 200.
What fraction of the total money did J win/lose?
15.
The diagonal of a square is 42 cm. The diagonal of another square whose area is double that of the first square is:
16.
At the start of a game of cards, J and B together had four times as much money as T, while T and B together had three times as much as J.
At the end of the evening, J and B together had three times as much money as T, while T and B together had twice as much as J. B lost Rs. 200.
What amount did B start with?
17.
The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm X 6 cm x 2 cm, is
18.
This question is based on the information given below:
The Venn diagram given below shows the estimated readership of 3 daily newspapers (X, Y & Z) in a city. The total readership and advertising cost for each of these papers is as below:
News- paper
Readership (lakhs)
Advertising cost (Rs. per sq.cm)
X
8.7
6000
Y
9.1
6500
Z
5.6
5000
The total population of the city is estimated to be 14 million. The common readership (in lakhs) is indicated in the giver Venn diagram.
The number of people (in lakhs) who read only one newspaper is:
19.
Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary on shopping and on household expenses. She saves the remaining amount of Rs. 12,750. What is Sonali's monthly income?
20.
This question is based on the information given below:
The Venn diagram given below shows the estimated readership of 3 daily newspapers (X, Y & Z) in a city. The total readership and advertising cost for each of these papers is as below:
News- paper
Readership (lakhs)
Advertising cost (Rs. per sq.cm)
X
8.7
6000
Y
9.1
6500
Z
5.6
5000
The total population of the city is estimated to be 14 million. The common readership (in lakhs) is indicated in the giver Venn diagram.
The number of people (in lakhs) who read at least one newspaper is:
21.
In an examination, out of 80 students, 85% of the girls and 70% of the boys passed. How many boys appeared in the examination if the total pass percentage was 75%?
22.
How many kgs of tea worth Rs. 25 per kg must be blended with 30 kgs of tea worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be a gain of 10%?
23.
What number should replace the question mark in the image below?
24.
300 gms of salt solution has 40% salt in it. How much salt should be added to make it 50% in the solution?
25.
What image from the bottom row should replace the question mark?