1 .
The curved surface of a solid cylinder is $2\over 3$ rd of its total surface and total surface area is$231 m^ 2$ , then the volume of cylinder is
Answer & Explanation
Answer : Option A |
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Explanation : |
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2 .
In an examination 70% students passed in English, 65% passed in Maths, 27% failed in both the subjects and 248 students passed in both the subjects. Find the total number of students
Answer & Explanation
Answer : Option C |
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Explanation : |
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Student passed in English = 70%
Student passed in Maths = 65%
Student failed in both = 27%
So, student passed in both = 70 + 65 - (100 - 27)
= 62%
Total students passed in both subject = 248
So, total number of students = $100 \over 62$ $\times$ 248 = 400 |
3 .
Two trains are moving in the same direction at 75 km/hr and 48 km/hr. The faster train crosses a man sitting in the slower in 14 seconds. Find the length of faster train
Answer & Explanation
Answer : Option A |
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Explanation : |
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ATQ,
Relative speed of fast train = (75 - 48) km/hr = 27
= $15 \over 2$ m/s
Time taken to pass the man = 14 sec
So, the length of faster train = $15 \over 2$ $\times$ 14 = 105 m |
4 .
The simplified value of $ (secA - cosA)^ 2$ + $(cosecA - sinA)^ 2$ -$ (cotA - tanA)^ 2$ is
Answer & Explanation
Answer : Option C |
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Explanation : |
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5 .
A certain number of men complete a piece of work in 60 days. If there are 8 men more, the work could be finished in 10 days less. The number of men originally were
Answer & Explanation
Answer : Option D |
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Explanation : |
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$M_ 1$ $D_ 1$ =$ M_ 2$ $D_ 2$
M $\times$ 60 = (M + 18) $\times$ 50
60 M = 50 M + 400
10 M = 400
M = 40
The number of men originally were = 40 |
6 .
After allowing a discount of 10% on marked price a trader makes a profit of 15%. The ratio of the marked price to the cost price is
Answer & Explanation
Answer : Option A |
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Explanation : |
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7 .
80 litres of a mixture contain milk and water in the ratio 27 : 5. How much more water is to be added to get a mixture containing milk and water in the ratio of 3 : 1 ?
Answer & Explanation
Answer : Option D |
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Explanation : |
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Ratio of milk and water = 27 : 5
Total mixture = 80 litres
So, milk in mixture = $27 \over 32$ $\times$ 80 = 67.5 litres
So, water in mixture = 80 - 67.5 = 12.5 litres
New ratio of milk and water = 3 : 1
So, water should be = $1 \over 3$ $\times$ 67.5 = 22.5 litres
So, water added = (22.5 - 12.5) litres
= 10 litres |
8 .
If the radius of the base of cone be 7 cm and its surface area be 550 $cm^2$ , then the volume of the cone is
Answer & Explanation
Answer : Option C |
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Explanation : |
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9 .
Mohan lends Rs. 500 to John and a certain sum to Tom at the same time at a S.I. of 8% per annum. If in 4 years, he altogether receives Rs. 210 as interest from the both, then how much the sum of money he lent to Tom?
Answer & Explanation
Answer : Option A |
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Explanation : |
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10 .
Sriya with her family travelled from Bolpur to Suri by car of a speed of 40 km/hr and returned to Bolpur at a speed of 50 km/hr. The average speed for the whole journey is
Answer & Explanation
Answer : Option C |
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Explanation : |
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ATQ,
Average speed = $2 \times 40 \times 50 \over 40 + 50$
= $4000 \over 90$
= 44 $4 \over 9$ km/hr |
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