Maths Practice Question and Answer
8 Q: $$ (17)^{2} + 6 × (13)^{2}-212×6$$
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62c3ea29a00ee61c312bf0db- 111false
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Answer : 4. "31"
Q: $${I. \sqrt{200x}+\sqrt{102}=0}$$
$${II.\sqrt{160y}+\sqrt{200}=0}$$
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5fd326a2d82ef86315b6ed85$${II.\sqrt{160y}+\sqrt{200}=0}$$
- 1x ˃ytrue
- 2x ≥ yfalse
- 3x ˂ yfalse
- 4x ≤ yfalse
- 5x = y या संबंध स्थापित नहीं किया जा सकता हैfalse
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Answer : 1. "x ˃y"
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?
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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: A tank can be filled by A in 60 minutes and emptied by B in 75 minutes. The tank is half filled and Ravi wants to fill the tank but opens B mistakenly and realizes after half hour and closed tap B. He then opens A and tank is completely filled in _______ minutes.
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64e75543de1aa1b70fdef7a0- 148false
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Answer : 2. "54"
Q: Find value of $$ {^3\sqrt{\sqrt{0.000729}}}+^3{\sqrt{0.008}}$$
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60f932065ae28778f13c83e8- 10.1false
- 20.5true
- 30.06false
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Answer : 2. "0.5"
Q: If $$ secθ+tanθ=2+\sqrt{5}$$, then the value of $$ sinθ+cosθ$$ is:
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5f058db23f7f070477919df3- 1$$ 3\over{\sqrt{5}}$$true
- 2$$ {\sqrt{5}}$$false
- 3$$ 7\over{\sqrt{5}}$$false
- 4$$ 1\over{\sqrt{5}}$$false
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Answer : 1. "$$ 3\over{\sqrt{5}}$$"
Q:Direction: Study the following information and answer the related questions. P, Q, R, S, T, A, B, C, D and E are employees of a company. A table shows the average age of any two employees of the company. The average age of A and B is 27.5.
i.e. average age of A & P is given as (A+P)/2=39.5

What is the ratio of ages of Q and E?
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6062bc2accecc445217a7037i.e. average age of A & P is given as (A+P)/2=39.5
- 123: 25false
- 225: 23false
- 346: 43true
- 443: 46false
- 5None of thesefalse
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Answer : 3. "46: 43 "
Q: A buys a water cooler at some price and sells it to B at 20% profit. B sells it to C at 10% profit. If C bought it for Rs 6666, then B's cost price is
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5f1e630e3b87486bfc534450- 15400false
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