The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
A.
3500
B.
4000
C.
4050
D.
5000
Answer: Option B Explanation:
Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 x 2) = 10100 .... (i)
Q + R = (6250 x 2) = 12500 .... (ii)
P + R = (5200 x 2) = 10400 .... (iii)
Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)
Subtracting (ii) from (iv), we get P = 4000. P's monthly income = Rs. 4000. Learn more problems on : Average Discuss about this problem : Discuss in Forum
2.
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Answer: Option D Explanation:
We shall find the day on 1st April, 2001. 1st April, 2001 = (2000 years + Period from 1.1.2001 to 1.4.2001)
Odd days in 1600 years = 0
Odd days in 400 years = 0
Jan. Feb. March April (31 + 28 + 31 + 1) = 91 days 0 odd days.
Total number of odd days = (0 + 0 + 0) = 0
On 1st April, 2001 it was Sunday.
In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th. Learn more problems on : Calendar Discuss about this problem : Discuss in Forum
4.
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
A.
20
B.
23
C.
169
D.
None of these
Answer: Option B Explanation:
Let the numbers be x and y.
Then, xy = 120 and x2 + y2 = 289. (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529 x + y = 529 = 23. Learn more problems on : Problems on Numbers Discuss about this problem : Discuss in Forum
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Direction (for Q.Nos. 7 - 8): Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
7.
A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs. 17 per kg. Find his profit percentage.
I.
The rate of X is Rs. 20 per kg.
II.
The rate of Y is Rs. 13 per kg.
A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer
Answer: Option D Explanation:
The ratio, in which X and Y are mixed, is not given.
So, both I and II together cannot give the answer. Correct answer is (D). Learn more problems on : Profit and Loss Discuss about this problem : Discuss in Forum
8.
By selling a product with 20% profit, how much profit was earned?
I.
The difference between cost and selling price is Rs. 40.
II.
The selling price is 120 percent of the cost price.
A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer
Answer: Option A Explanation:
Gain = 20%
I. Profit = (S.P.) - (C.P.) = Rs. 40.
Thus, I give the answer. But, II does not give the answer. Correct answer is (A). Learn more problems on : Profit and Loss Discuss about this problem : Discuss in Forum
9.
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
A.
4%
B.
6%
C.
20%
D.
25%
Answer: Option C Explanation:
Let C.P. of 1 litre milk be Re. 1
Then, S.P. of 1 litre of mixture = Re. 1, Gain = 25%.
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
A.
20
B.
80
C.
100
D.
200
Answer: Option C Explanation:
Let the number of students in rooms A and B be x and y respectively.
Then, x - 10 = y + 10 x - y = 20 .... (i)
and x + 20 = 2(y - 20) x - 2y = -60 .... (ii)
Solving (i) and (ii) we get: x = 100 , y = 80. The required answer A = 100. Learn more problems on : Simplification Discuss about this problem : Discuss in Forum
12.
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
A.
Rs. 120
B.
Rs. 160
C.
Rs. 240
D.
Rs. 300
Answer: Option C Explanation:
Let C's share = Rs. x
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?
Direction (for Q.No. 14): Find out the wrong number in the series.
14.
3, 7, 15, 27, 63, 127, 255
A.
7
B.
15
C.
27
D.
63
E.
127
Answer: Option C Explanation:
Go on multiplying the number by 2 and adding 1 to it to get the next number.
So, 27 is wrong. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum
Direction (for Q.No. 15): Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
15.
By selling an article what is the profit percent gained?
I.
5% discount is given on list price.
II.
If discount is not given, 20% profit is gained.
III.
The cost price of the articles is Rs. 5000.
A.
Only I and II
B.
Only II and II
C.
Only I and III
D.
All I, II and III
E.
None of these
Answer: Option A Explanation: I. Let the list price be Rs. x.
Then, S.P. = 95% of Rs. x = Rs.
x x
95
= Rs.
19x
100
20
II. When S.P. = Rs. x and gain = 20%.
Then, C.P. = Rs.
100
x x
= Rs.
5x
120
6
Gain =
19x
-
5x
=
57x - 50x
=
7x
20
6
60
60
Gain % =
7x
x
6
x 100
% = 14%.
60
5x
Thus, I and II only give the answer. Correct answer is (A). Learn more problems on : Profit and Loss Discuss about this problem : Discuss in Forum
Direction (for Q.No. 16): Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
16.
What is Ravi's present age?
I.
The present age of Ravi is half of that of his father.
II.
After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11.
III.
Ravi is 5 years younger than his brother.
A.
I and II only
B.
II and III only
C.
I and III only
D.
All I, II and III
E.
Even with all the three statements answer cannot be determined.
Answer: Option A Explanation:
I. Let Ravi's present age be x years. Then, his father's present age = 2x years.
II. After 5 years,
Ravi's age
=
6
Father's age
11
III. Ravi is younger than his brother.
From I and II, we get
x + 5
=
6
. This gives x, the answer.
2x + 5
11
Thus, I and II together give the answer. Clearly, III is redundant. Correct answer is (A). Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum
17.
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
A.
5
B.
10
C.
15
D.
20
Answer: Option D Explanation:
Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.
The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.
The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it. Required number of numbers = (1 x 5 x 4) = 20. Learn more problems on : Permutation and Combination Discuss about this problem : Discuss in Forum
18.
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
A.
210
B.
1050
C.
25200
D.
21400
E.
None of these
Answer: Option C Explanation:
Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)
= (7C3 x 4C2)
=
7 x 6 x 5
x
4 x 3
3 x 2 x 1
2 x 1
= 210.
Number of groups, each having 3 consonants and 2 vowels = 210.
Each group contains 5 letters.
Number of ways of arranging 5 letters among themselves
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
A.
32
B.
48
C.
64
D.
96
E.
None of these
Answer: Option C Explanation:
We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).
P's monthly income = Rs. 4000.
0 odd days. 
%
litres
x - y = 20 .... (i)
of what B gets and B gets 
, search by visitors: scientific names and their meaning, studies ends with ology, studies ends with logy,words ends with logy...