1 .
Some men can do a piece of work in 60 days. If 8 more men join them the work is finished 10 days before the stipulated time. How many men were there in the beginning?
Answer & Explanation
Answer : Option B |
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Explanation : |
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Let the number of men be x.
X men do the work in 60 days.
1 man does the work in 60 X xdays.
So, (x+8) men do the work in 50days.
1 man does the work in 50(x+8) days
Now,60x = 50(x+8)
Or , 60x-50x = 400
Or, x=40. |
2 .
By working 8 hours a day 6 men can Rs. 8400 in a week. How much money will 9 men earn in a week by working 6 hours a day?
Answer & Explanation
Answer : Option C |
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Explanation : |
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6 men by working 8 hrs per day earn Rs 8400
1 man can earn in a week by working 8 hrs a day
= $8400 \over 6$ $\times$ 8
9men can by working 6hrs a day earn in a week
= 8400 x $9\over 6$ x $6 \over 8$ = Rs. 9450 |
3 .
Two trains 160 meter long and 140 m long respectively run at the rate of 77 kmph and 67 kmph respectively in opposite directions on parallel tracks. How long do they take to pass each other?
Answer & Explanation
Answer : Option D |
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Explanation : |
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time = $160 + 140 \over 77 \times {5 \over 18} + 67 \times {5 \over 18 }$
= $300 \over {5 \over 18} \times 144 $
= $300 \over 40$
= 7.5 seconds |
4 .
A train crosses a 50-m-long-platform in 14 seconds and crosses an electric pole in 10 seconds. What is the speed of the train?
Answer & Explanation
Answer : Option A |
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Explanation : |
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5 .
In what proportion must some tea at Rs. 60 per kg. be mixed with another tea at Rs. 65 per kg. so that the new mixture is sold at Rs. 68.2 per kg. at a profit of 10%?
Answer & Explanation
Answer : Option B |
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Explanation : |
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Selling price = Rs 68.2
Profit = 10%
So, Cost price = $68.2 \times 100 \over 110$ = Rs.62
By alligtion method,
Reqd ratio = 3:2 |
6 .
BE and CF are two medians of $\Delta$ABC and G the centroid. FE cuts AG at O, if OG= 2 cm, then the length of AO
Answer & Explanation
Answer : Option C |
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Explanation : |
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7 .
Let ABC be an equilateral triangle and AX, BY, CZ be the altitudes. Then the right statement out of four given reponses is:
Answer & Explanation
Answer : Option A |
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Explanation : |
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8 .
The height of a right circular cylinder is 8 cm. Four times the sum of the area of its two circular faces is twice the area of its curved surface. The radius of the base is
Answer & Explanation
Answer : Option B |
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Explanation : |
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According to the question,
4 x 2$\pi$ $r^2$= 2 x 2$\pi$ r $\times$ 8
So,r = 4 cm |
9 .
Water flows in a tank whose base is 250m x 100m through a pipe whose cross-section is 3dm by 2.5dm at the speed of 20 km per hour. In what time will the water level rise to 1.5 metres?
Answer & Explanation
Answer : Option D |
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Explanation : |
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10 .
A well is 23.5 m deep and its diameter is 14m. Find the cost of plastering the inner curved surface at Rs. 4 per square metre
Answer & Explanation
Answer : Option A |
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Explanation : |
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Total cost of plastering the inner curved surface area
= 2 $\times$ $22 \over 7$ $\times$ $14 \over 2$ $\times$ 23.5 $\times$ 4 = Rs. 4136 |
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