Maths Practice Question and Answer
8 Q: A field in the shape of a trapezium whose parallel sides are 200 meter and 400-meter-long, whereas each of other two sides is 260 meter long. What is the area (in m2) of the field?
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5fc0df0996415e6951a995fe- 172,000true
- 252,000false
- 348,000false
- 460,000false
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Answer : 1. "72,000"
Q: A sum of ₹ 3000 yields an interest of ₹ 1080 at 12% per annum simple interest in how many years ?
1335 06116217a56340c20700ac41d
6116217a56340c20700ac41d- 14 Yearsfalse
- 23 Yearstrue
- 35 yearsfalse
- 42½ Yearsfalse
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Answer : 2. "3 Years"
Q: A alone can do a piece of work in 15 days, while B alone can do it in 20 days. They work together for 6 days and the rest of the work is done by C in 6 days. If they get Rs 800 for the whole work, how should they divide the money?
1335 064f1e9943be218b6cde52171
64f1e9943be218b6cde52171- 1Rs. 320, Rs. 240 and Rs. 240true
- 2Rs. 640, Rs. 280 and Rs. 260false
- 3Rs. 320, Rs. 420 and Rs. 360false
- 4Rs. 360, Rs. 420 and Rs. 240false
- 5Rs. 320, Rs. 240 and Rs. 720false
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Answer : 1. "Rs. 320, Rs. 240 and Rs. 240"
Explanation :
Let's break down the problem step by step:
- A can complete the work in 15 days, so his daily work rate is 1/15 of the work per day.
- B can complete the work in 20 days, so his daily work rate is 1/20 of the work per day.
- A and B work together for 6 days. In these 6 days, their combined work rate is (1/15 + 1/20) = (4/60 + 3/60) = 7/60 of the work per day.
- In 6 days, they complete (6 * 7/60) = 42/60 of the work, which simplifies to 7/10 of the work.
Now, let C complete the remaining 3/10 of the work in 6 days. We can calculate C's daily work rate:
C's daily work rate = Work done by C in 6 days / 6 C's daily work rate = (3/10) / 6 C's daily work rate = 1/20 of the work per day.
Now, let's calculate the total amount earned by each worker:
A's share: A worked for 6 days at a rate of 1/15 of the work per day, so he completed (6 * 1/15) = 2/5 of the work. A's share of the money is (2/5) * Rs 800 = Rs 320.
B's share: B worked for 6 days at a rate of 1/20 of the work per day, so he completed (6 * 1/20) = 3/10 of the work. B's share of the money is (3/10) * Rs 800 = Rs 240.
C's share: C worked for 6 days at a rate of 1/20 of the work per day, so he completed (6 * 1/20) = 3/10 of the work. C's share of the money is (3/10) * Rs 800 = Rs 240.
Now, to check if the total amount is correct, you can add up their individual shares:
Rs 320 (A) + Rs 240 (B) + Rs 240 (C) = Rs 800
So, they should divide the money as follows:
- A gets Rs 320.
- B gets Rs 240.
- C gets Rs 240.
Q: When an article is sold for Rs 366, there is a loss of 39%. To gain 41% it should be sold for Rs?
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602e38c1bb9bb966a304d6ff- 1626false
- 2426false
- 3846true
- 4354false
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Answer : 3. "846 "
Q: A motorboat whose speed is 20 km/h in still water takes 30 minutes more to go 24 km upstream than to cover the same distance downstream. If the speed of the boat in still water is increased by 2 km/h, then bow much time will it take to go 39 km downstream and 30 km upstream?
1335 0646ca32ecdae930acb92492f
646ca32ecdae930acb92492f- 13 h 40 mfalse
- 22 h 40 mfalse
- 33 h 10 mtrue
- 42 h 50 mfalse
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Answer : 3. "3 h 10 m"
Q: In a moter of 120 machine parts, 5 % parts were defective, in another motor of 80 machine parts, 10 % parts were defective. For the two motors considered together, the percentage of defective machine parts were
1335 05ef56f01196e681f76d94b38
5ef56f01196e681f76d94b38- 16.5false
- 27.5false
- 37true
- 48false
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Answer : 3. "7"
Q: In a village, 70 percent of the households have a mobile. 20 percent of the households have TV and 15 percent of the families have both TV and mobile. If the total number of families is 116, then how many families have neither mobile nor TV?
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5f058b93b864a45d9076abed- 132false
- 229true
- 323false
- 424false
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Answer : 2. "29"
Q: The area of a circle is 616 sq cm, find its circumference?
1335 05f0e7954dcdb5f61f5c2fab3
5f0e7954dcdb5f61f5c2fab3- 144 cmfalse
- 288 cmtrue
- 322 cmfalse
- 4176 cmfalse
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