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01. A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 28 adults have their meal, find the total number of children that can be catered with the remaining food.
A. 42 B. 54
C. 90 D. 70

Answer and Explanation

Answer: 54

Explanation:
As there is meal for 70 adults and 28 have their meal, the meal left can be catered to 42 adults.
Now, 70 adults = 90 children
7 adults = 9 children
Therefore, 42 adults = 54 children
Hence, the meal can be catered to 54 children.

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02. If a quarter kg of potato costs 60 paise , how many paise will 200 gms cost?
A. 48 paise B. 54 paise
C. 58 paise D. 72 paise

Answer and Explanation

Answer: 48 paise

Explanation:
Let the required cost be x paise. Less weight, Less cost (Direct proportion)
Hence, 250 : 200 :: 6 : x
           x = (200 * 60)/ 250 = 48

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03. For a road work, a contractor was given a deadline to complete the work in 25 days. Hence, he employed a certain number of workers to accomplish the job. But from the very first day 9 workers were absent and the remaining workers could finish the work in 40 days. What number of workers did the contractor hired in the beginning?
A. 20 B. 30
C. 24 D. 16

Answer and Explanation

Answer: 24

Explanation:
Let the number of workers initially hired be x.

Hence, x workers can complete the work in 25 days and (x-9) workers can complete the work in 40 days.

Now, the number of men and the amount of work are in direct proportion and number of men and number of days in indirect proportion.
x*25 = (x – 9)*40
25x = 40x – 360
15x = 360
x = 24

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04. If the price of 6 toys is Rs 264.37, what will be the approximate price of 5 toys?
A. Rs 140 B. Rs 200
C. Rs 220 D. Rs 240

Answer and Explanation

Answer: Rs 220

Explanation:
Let the require price be Rs x. Then, less toys, Less cost (direct proportion)
Hence, 6 : 5 :: 264 : 37
           6x = (5 * 264.37)
           x = ( 5 * 264.37) / 6
           x = (5 * 264.37) / 6
              
              = 220.308

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05. An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
A. 178 B. 195
C. 204 D. 488

Answer and Explanation

Answer: 195

Explanation:
Let the required time be x seconds. Then, More metres, more time ( Direct Proportion)

0.128 : 25 :: 1 : x
0.128 x x = 25 x 1

x =   25
     0.128

x = 25 x 1000
         128

x = 195.31
Required time = 195 sec (approximately)

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06. If 11.25 m of a uniform iron rod weighs 42.75 kg. what will be the weight of 6 m of the same rod?
A. 22.8 kg B. 25.6 kg
C. 28 kg D. 26.5 kg

Answer and Explanation

Answer: 22.8 kg

Explanation:
Let the required weight be x kg. Then, Less lenght, Less weight (Direct Proportion)

11.25 : 6 :: 42.75 : x
11.25 x x = 6 x 42.75

x = (6 x 42.75)
         11.25
x = 22.8

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07. A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:
A. 10 m B. 12.5 m
C. 17.5 m D. 21.25 m

Answer and Explanation

Answer: 12.5 m

Explanation:
Let the height of the building x metres.
Less lengthy shadow, Less in the height (Direct Proportion)
40.25 : 28.75 :: 17.5 : x
40.25 x x = 28.75 x 17.5
x = 28.75 x 17.5
            40.25
x = 12.5

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08. If the cost of x meters of wire is d rupees, then what is the cost of y meters of wire at the same rate?
A. Rs (xy)/d B. Rs xd
C. Rs yd D. Rs (yd)/x

Answer and Explanation

Answer: Rs (yd)/x

Explanation:
Cost of x meters = Rs d . Cost of 1 metre = Rs d/x
Cost of y mts = Rs (d/x * y) = Rs (yd) / x

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09. A military camp has a food reserve for 250 personnel for 40 days. If after 15 days 50 more personnel are added to the camp, find the number of days the reserve will last for?
A. 20 B. 36
C. 25 D. 42

Answer and Explanation

Answer: 25

Explanation:
As the camp has a reserve for 250 personnel that can last for 40 days, after 10 days the reserve left for 250 personnel is for 30 days. Now 50 more personnel are added in the camp.
Hence, the food reserve for 300 personnel will last for:

250:300::x:30 ……..(it is an indirect proportion as less men means more days)
x = (250*30)/300
x = 25 days

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10. If 11.25 m of uniform iron rod weighs 42.75 kg, what will be the weight of 6m of the same rod?
A. 22.8 kg B. 25.8 kg
C. 28 kg D. 26.5 kg

Answer and Explanation

Answer: 22.8 kg

Explanation:
Let the required weight be x kg. Less length, less weight (direct proportion)
Hence, 11.25 : 6 ::42.75 : x
 => x = (6 * 42.75)/11.25
      x = 22.8

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