Maths Practice Question and Answer

Q:

$$ (17)^{2} + 6 × (13)^{2}-212×6$$

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  • 1
    11
    Correct
    Wrong
  • 2
    23
    Correct
    Wrong
  • 3
    49
    Correct
    Wrong
  • 4
    31
    Correct
    Wrong
  • 5
    47
    Correct
    Wrong
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Answer : 4. "31"

Q:

$${I. \sqrt{200x}+\sqrt{102}=0}$$
$${II.\sqrt{160y}+\sqrt{200}=0}$$

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  • 1
    x ˃y
    Correct
    Wrong
  • 2
    x ≥ y
    Correct
    Wrong
  • 3
    x ˂ y
    Correct
    Wrong
  • 4
    x ≤ y
    Correct
    Wrong
  • 5
    x = y या संबंध स्थापित नहीं किया जा सकता है
    Correct
    Wrong
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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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  • 1
    Rs. 320, Rs. 240 and Rs. 240
    Correct
    Wrong
  • 2
    Rs. 640, Rs. 280 and Rs. 260
    Correct
    Wrong
  • 3
    Rs. 320, Rs. 420 and Rs. 360
    Correct
    Wrong
  • 4
    Rs. 360, Rs. 420 and Rs. 240
    Correct
    Wrong
  • 5
    Rs. 320, Rs. 240 and Rs. 720
    Correct
    Wrong
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Answer : 1. "Rs. 320, Rs. 240 and Rs. 240"
Explanation :

Let's break down the problem step by step:

  1. A can complete the work in 15 days, so his daily work rate is 1/15 of the work per day.
  2. B can complete the work in 20 days, so his daily work rate is 1/20 of the work per day.
  3. 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.
  4. 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:

  1. 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.

  2. 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.

  3. 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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  • 1
    48
    Correct
    Wrong
  • 2
    54
    Correct
    Wrong
  • 3
    50
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 2. "54"

Q:

Find value of $$ {^3\sqrt{\sqrt{0.000729}}}+^3{\sqrt{0.008}}$$

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  • 1
    0.1
    Correct
    Wrong
  • 2
    0.5
    Correct
    Wrong
  • 3
    0.06
    Correct
    Wrong
  • 4
    0.8
    Correct
    Wrong
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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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  • 1
    $$ 3\over{\sqrt{5}}$$
    Correct
    Wrong
  • 2
    $$ {\sqrt{5}}$$
    Correct
    Wrong
  • 3
    $$ 7\over{\sqrt{5}}$$
    Correct
    Wrong
  • 4
    $$ 1\over{\sqrt{5}}$$
    Correct
    Wrong
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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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  • 1
    23: 25
    Correct
    Wrong
  • 2
    25: 23
    Correct
    Wrong
  • 3
    46: 43
    Correct
    Wrong
  • 4
    43: 46
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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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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  • 1
    5400
    Correct
    Wrong
  • 2
    6060
    Correct
    Wrong
  • 3
    5600
    Correct
    Wrong
  • 4
    6400
    Correct
    Wrong
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Answer : 2. "6060"

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