Aptitude Practice Question and Answer
8 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?
1150 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: By selling a bicycle for Rs. 2,850 a shopkeeper gain 14%. If the profit is reduced to 8 %, then the selling price will be
1150 05efd36d27228dd6b06e2843f
5efd36d27228dd6b06e2843f- 1Rs. 2,800false
- 2Rs. 3,000false
- 3Rs. 2,600false
- 4Rs. 2,700true
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Answer : 4. "Rs. 2,700 "
Q: If the difference between CI and SI for 3 years at the rate of 10% is Rs 31. Find the principle.
1149 05e9d2e8b772f97276f50e3ad
5e9d2e8b772f97276f50e3ad- 1₹ 1,000true
- 2₹ 1,500false
- 3₹2,000false
- 4₹ 800false
- 5None of thesefalse
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Answer : 1. "₹ 1,000 "
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?
1149 05fc0df0996415e6951a995fe
5fc0df0996415e6951a995fe- 172,000true
- 252,000false
- 348,000false
- 460,000false
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Answer : 1. "72,000"
Q: If a=tanθ + 1 and b=sinθ+cosθ then find (b2-1)a=?
1149 0605c564922ce9764eb4d0d5e
605c564922ce9764eb4d0d5e- 1abfalse
- 22bsecθfalse
- 32bfalse
- 42bsin θtrue
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Answer : 4. "2bsin θ"
Q: If cosec θ=1.25 then $$ {4 \ tanθ-5 \ cosθ + 1\over secθ+ 4cotθ-1}=?$$
1149 060531738528a962d2e428f1e
60531738528a962d2e428f1e- 1$$ {9\over 10}$$false
- 22false
- 3$$ {10\over 11}$$true
- 4$$ {1\over 2}$$false
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Answer : 3. "$$ {10\over 11}$$"
Q: If 1.5a=0.04 b then find out the value of $$ {b-a\over b+a}$$.
1149 0602cc61b9f2a38430905cbc7
602cc61b9f2a38430905cbc7- 1$$ {73\over 77}$$true
- 2$$ {77\over 33}$$false
- 3$$ {2\over 75}$$false
- 4$$ {75\over 2}$$false
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Answer : 1. "$$ {73\over 77}$$"
Q: A man walking at a speed of 5 km / h crosses a bridge in 15 minutes, find the length of the bridge.
1149 0603745049d90e74af72b1607
603745049d90e74af72b1607- 1600 meterfalse
- 2750 meterfalse
- 31000 meterfalse
- 41250 metertrue
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