Which of the given statements is correct? Statement 1: Concave mirrors are used in solar furnaces to focus sunlight at a point for heating. Statement 2: Convex mirrors can never form real images.
a.
Both statements 1 and 2 are incorrect .
b.
Both statements 1 and 2 are correct .
c.
Only statement 2 is correct.
d.
Only statement 1 is correct.
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A body undergoes a displacement of 5 m under the action of a constant force of 5 N, in the same direction as the force. How much work will be done under the action of this force?
a.
1 J
b.
5 J
c.
25 J
d.
1/5 J
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A and B working together can do a piece of work in 3 days. B alone can do the same work in 9 days. How long (in days) will A alone take to do double the work?
a.
12
b.
4.5
c.
9
d.
10
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Two taps function simultaneously to fill a tank in 24 hours. The second tap fills the tank 14 hours slower than the first tap. How many hours will it take by the second tap to fill the tank alone? 6694
a.
70
b.
56
c.
42
d.
28
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A dealer marks his goods at 57% above the cost price and allows a discount of 22% on the marked price. What is his gain percentage (correct to two decimal places)?
a.
20.14%
b.
25.98%
c.
19.94%
d.
22.46%
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Two trains having lengths of 440 m and 310 m are running at speeds of 60 km/hr and 90 km/hr, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is:
a.
1.5
b.
7.2
c.
6
d.
10.1
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In quadrilateral PQRS, the bisectors of ∠ R and ∠ S meet at the point T (inside the quadrilateral) and ∠ STR = 10.5°. If the ratio of ∠ P to ∠ Q is 3 : 4, then what is the difference between the measures of ∠ Q and ∠ P?
a.
3°
b.
1°
c.
7°
d.
5°
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The cost of a washing machine is 75% less than the cost of a TV. If the cost of the washing machine increases by 80% and that of the TV decreases by 14%, then what is the percentage change in the total cost of 8 washing machines and 2 TVs?
a.
Increase by 29%
b.
Decrease by 30%
c.
Increase by 33%
d.
Decrease by 32%
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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some huts are dens. No den is a cave. Conclusions: (I): Some huts are caves. (II): Some dens are huts.
a.
Only conclusion (I) follows
b.
Both conclusions (I) and (II) follow
c.
Only conclusion (II) follows
d.
Neither conclusion (I) nor (II) follows
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Refer to the following number series and answer the question that follows (all numbers are single digit numbers only). Counting to be done from left to right only. (Left) 7 2 8 6 7 3 8 5 9 6 2 4 5 2 8 7 8 6 3 6 4 9 5 1 2 4 3 (Right) How many such odd digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an odd digit?
a.
More than three
b.
One
c.
Three
d.
Two
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Refer to the following number series and answer the question that follows (all numbers are single digit numbers only). Counting to be done from left to right only. (Left) 4 1 7 9 2 2 7 9 9 9 4 7 7 8 9 1 8 6 2 1 2 2 8 (Right) How many such even digits are there, each of which is immediately preceded by an even digit and also immediately followed by an odd digit?
a.
Two
b.
None
c.
Three
d.
One
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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: No student is a teacher. No student is a carpenter. Conclusion: (I) Some teachers are carpenters. (II) Some students are teachers.
a.
Neither conclusion (I) nor (II) follows
b.
Only conclusion (II) follows
c.
Both conclusions (I) and (II) follow
d.
Only conclusion (I) follows
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