The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?
A.
11:30 A.M.
B.
12 noon
C.
12:30 P.M.
D.
1:00 P.M.
Answer: Option D
Explanation:
(P + Q + R)'s 1 hour's work =
1
+
1
+
1
=
37
.
8
10
12
120
Work done by P, Q and R in 2 hours =
37
x 2
=
37
.
120
60
Remaining work =
1 -
37
=
23
.
60
60
(Q + R)'s 1 hour's work =
1
+
1
=
11
.
10
12
60
Now,
11
work is done by Q and R in 1 hour.
60
So,
23
work will be done by Q and R in
60
x
23
=
23
hours 2 hours.
60
11
60
11
So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
A.
4 days
B.
5 days
C.
6 days
D.
7 days
Answer: Option A
Explanation:
Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
A.
45 m
B.
50 m
C.
54 m
D.
72 m
Answer: Option B
Explanation:
2 kmph =
2 x
5
m/sec =
5
m/sec.
18
9
4 kmph =
4 x
5
m/sec =
10
m/sec.
18
9
Let the length of the train be x metres and its speed by y m/sec.
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:
A.
173 m
B.
200 m
C.
273 m
D.
300 m
Answer: Option C
Explanation:
Let AB be the lighthouse and C and D be the positions of the ships.
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
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.
14.
How many marks did Tarun secure in English?
I.
The average mark obtained by Tarun in four subjects including English is 60.
II.
The total marks obtained by him in English and Mathematics together are 170.
III.
The total marks obtained by him in Mathematics and Science together are 180.
A.
I and II only
B.
II and III only
C.
I and III only
D.
All I, II and III
E.
None of these
Answer: Option E
Explanation:
I gives, total marks in 4 subjects = (60 x 4) = 240.
In each of the following questions, a question is asked and is followed by three statements. While answering the question, you may or may not require the data provided in all the statements. You have to read the question and the three statements and then decide whether the question can be answered with any one or two of the statements or all the three statements are required to answer the question. The answer number bearing the statements, which can be dispensed with, if any, while answering the question is your answer.
15.
Mr. Gupta borrowed a sum of money on compound interest. What will be the amount to be repaid if he is repaying the entire amount at the end of 2 years?
I.
The rate of interest is 5 p.c.p.a.
II.
Simple interest fetched on the same amount in one year is Rs. 600.
III.
The amount borrowed is 10 times the simple interest in 2 years.
A.
I only
B.
III only
C.
I or II only
D.
II and Either I or III only
E.
All I, II and III are required
Answer: Option D
Explanation:
I. gives, Rate = 5% p.a.
II. gives, S.I. for 1 year = Rs. 600.
III. gives, sum = 10 x (S.I. for 2 years).
Now I, and II give the sum.
For this sum, C.I. and hence amount can be obtained.
Thus, III is redundant.
Again, II gives S.I. for 2 years = Rs. (600 x 2) = Rs. 1200.
Now, from III, Sum = Rs. (10 x 1200) = Rs . 12000.
Thus, Rate =
100 x 1200
= 5% p.a.
2 x 12000
Thus, C.I. for 2 years and therefore, amount can be obtained.
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.
16.
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.
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
A.
No profit, no loss
B.
5%
C.
8%
D.
10%
E.
None of these
Answer: Option B
Explanation:
C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
A.
2700
B.
2900
C.
3000
D.
3100
Answer: Option A
Explanation:
Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000
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.
19.
What is the volume of a cube?
I.
The area of each face of the cube is 64 square metres.
II.
The length of one side of the cube is 8 metres.
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 C
Explanation:
Let each edge be a metres. Then,
I. a2 = 64 a = 8 m Volume = (8 x 8 x 8) m3 = 512 m3.
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9y - x = 5 and 90y - 9x = 100.
ACB = 30º and