Maths Practice Question and Answer

Q:

A complete factorization of x4+64 is 

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  • 1
    $$\left(x^2+8 \right)^2 \ $$
    Correct
    Wrong
  • 2
    $$\left(x^2+8 \right) \ (x^2-8)$$
    Correct
    Wrong
  • 3
    $$\left(x^2-4x+8 \right) \ (x^2-4x-8)$$
    Correct
    Wrong
  • 4
    $$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$
    Correct
    Wrong
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Answer : 4. "$$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$"

Q:

If (10 a3+4b3):(11a3-15b3)=7:5, then (3a+5b):(9a-2b)=?

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  • 1
    10:13
    Correct
    Wrong
  • 2
    8:7
    Correct
    Wrong
  • 3
    5:4
    Correct
    Wrong
  • 4
    3:2
    Correct
    Wrong
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Answer : 1. "10:13"

Q:

The circumference of the base of a cylindrical vessel is 158.4 cm and its height is 1 m. How many litres of water can it hold (correct to one decimal place)?

(Take π = 22/7)

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  • 1
    186.4
    Correct
    Wrong
  • 2
    200.8
    Correct
    Wrong
  • 3
    198.2
    Correct
    Wrong
  • 4
    199.6
    Correct
    Wrong
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Answer : 4. "199.6"

Q:

From a point within an equilateral triangle, perpendiculars drawn to the three sides, are 6 cm, 7 cm and 8 cm respectively. the length of the side of the triangle is:

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  • 1
    7 cm
    Correct
    Wrong
  • 2
    10.5 cm
    Correct
    Wrong
  • 3
    $${14 \sqrt { 3}} $$ cm
    Correct
    Wrong
  • 4
    $${14 \sqrt { 3}}\over 3 $$ cm
    Correct
    Wrong
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Answer : 1. "7 cm "

Q:

If the arcs of square length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is 

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

Q:

A shopkeeper marked every item 25%abovethe cost price and allowed 10% discount. Shruti being a regular customer got 5% additional discount on the bill and paid ₹2394 for the item purchased. What is the cost price of the item (in ₹)? 

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  • 1
    2240
    Correct
    Wrong
  • 2
    2440
    Correct
    Wrong
  • 3
    2220
    Correct
    Wrong
  • 4
    2420
    Correct
    Wrong
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Answer : 1. "2240 "

Q:

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x2+ 2x – 15 = 0

II. y2+ 16y + 55 = 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 or relationship between x and y cannot be established.
    Correct
    Wrong
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Answer : 3. "x ≥ y"

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