Maths Practice Question and Answer

Q:

Given that √4096 = 64, the value of √4096 + √40.96 +√0.004096 is-

899 0

  • 1
    70.4
    Correct
    Wrong
  • 2
    70.464
    Correct
    Wrong
  • 3
    71.104
    Correct
    Wrong
  • 4
    71.4
    Correct
    Wrong
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Answer : 2. "70.464"
Explanation :

Given Exp. = √4096 + √40.96 +√0.004096

= 64 + 6.4 + 0.064

= 70.464

Q:

A can do a piece of work in 24 day, B in 32 days and C in 64 days. All begin to do it together, but A leaves after 6 days and B leaves 6 days before the completion of the work. How many days did the work last?

1101 0

  • 1
    15
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    18
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 2. "20"

Q:

P, Q, R are employed to do a work for Rs. 5750. P and Q together finished 19/23 of work and Q and R together finished 8/23 of work. Wage of Q, in rupees, is-

1295 0

  • 1
    2850
    Correct
    Wrong
  • 2
    3750
    Correct
    Wrong
  • 3
    2750
    Correct
    Wrong
  • 4
    1000
    Correct
    Wrong
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Answer : 4. "1000"

Q:

When (6767 +67) is divided by 68, the remainder is-

1132 0

  • 1
    13
    Correct
    Wrong
  • 2
    63
    Correct
    Wrong
  • 3
    66
    Correct
    Wrong
  • 4
    67
    Correct
    Wrong
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Answer : 3. "66"
Explanation :

(6767+ 67) = 67(6766 + 166)

As 66 is an even number

We know   6766 is an even number

We know   (6766 + 1) is perfectly divisible by (67 + 1)

i.e. 68

We know   The remainder = 66

(6767+ 67) = 67(6766 + 166)

Q:

The sum of the squares of two natural consecutive odd numbers is 394. The sum of the numbers is –

943 0

  • 1
    24
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 4. "28"
Explanation :

Let the consecutive odd numbers be x and (x+2)

We know that x2 + (x + 2)2 = 394

We know   x2 + x2 + 4x + 4 = 394

We know   2 x2 +4x – 390 = 0

We know   x2 + 2x – 195 = 0

We know  (x +15) (x-13) = 0

We know   x = 13

We know    Required sum = 13 +15 =28

Q:

√6+√6+√6+… is equal to –

891 0

  • 1
    2
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 4. "3"
Explanation :

Let √6+√6+√6+…. be x.

We know x =√6+x

We know x2 = 6+x

We know x2 - x – 6 = 0

We know (x-3) (x+2) = 0

We know x = 3

Q:

The value of (81)3.6 * (9)2.7/ (81)4.2 * (3) is __

1136 0

  • 1
    3
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    8.2
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

(81)3.6 * (9)2.7/(81)4.2 * (3) = (3)14.4 * (3)5.4/(3)16.8 * (3)

= 314.4+5.4-16.8-1

= 32

= 9 

Q:

The product of 2 numbers is 1575 and their quotient is 9/7. Then the sum of the numbers is –

848 0

  • 1
    74
    Correct
    Wrong
  • 2
    78
    Correct
    Wrong
  • 3
    80
    Correct
    Wrong
  • 4
    90
    Correct
    Wrong
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Answer : 3. "80"
Explanation :

Let the numbers be x and y .

We know   xy = 1575

And  x/y = 9/7

We know   xy/x/y = 1575/9/7

We know    y2  = 1225

We know  y = 35 and x = 45

We know   The sum of the numbers = 45+35

= 80

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