Arithmatical -Simplification
DIRECTIONS : Problems based on Simplification.
6. |
How may pieces of 85cm length can be cut from a rod 42.5 metres long? |
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A. 30 |
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B. 40 |
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C. 60 |
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D. 50 |
Solution |
Number of pieces | = (42.5 ×100 / 85 ) |
= 4250 / 85 |
= 50. |
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7. |
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs.2.40 per hour for regular work
and Rs.3.20 per hours for overtime. If he earns Rs.432 in 4 weeks, then how many hours does he work for? |
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A. 160 |
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B. 175 |
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C. 180 |
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D. 195 |
Solution |
Suppose the man works overtime for x hours. |
Now, working hours in 4 weeks = (5 x 8 x 4) = 160. |
Therefore, 160 x 2.40 + x x 3.20 = 432 |
<=> 3.20x = 432 - 384 = 48 |
x = 15. |
Hence, total hours of work = (160 + 15) = 175. |
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8. |
What fraction of an hour is a second? |
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A. 1 / 24 |
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B. 1 / 60 |
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C. 1 / 120 |
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D. 1 / 3600 |
Solution |
Required fraction | = 1 sec / 1 hr |
= 1 sec / (1 x 60 x 60) sec |
= 1/ 3600. |
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9. |
A man earns on the first day and spends Rs.15 on the next day. He again earns Rs.20 on the third day and spends Rs.15 on the fourth day. If he continues to save like this, how soon will he have Rs.60 in hand? |
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A. on 17th day |
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B. on 27th day |
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C. on 30th day |
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D. on 40 th day |
Solution |
Money earned in 2 days | = Rs.(20 - 15) |
‹=›Rs. 15. |
Money earned in 16 days | = Rs.(5/2 x 16) |
‹=›Rs. 40. |
On 17th day, money in hand | = Rs.(40 + 20 ) |
= Rs. 60. |
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10. |
In a garden there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres adn a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is |
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A. 20 m |
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B. 22 m |
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C. 24 m |
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D. 26 m |
Solution |
Each row contains 12 plants. |
Leaving 2 cornerplants, 10 plants in between have ( 10 x 2) metres and 1 metre on each side is left. |
Length | = (20 + 2) m |
= 22 m. |
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