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Mathematics β€” Old Questions (TPSC)

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Today (November 04, 2025) Daily MCQs: 60 questions β€” Showing page 4 of 6

Q31. In a fertilizer which is a mixture of Urea and Potas, the ratio of Urea and Potas is 4:1. If 5 kg of Potas is mixed with 25 kg of that fertilizer, what will be the new ratio of Urea and Potas in that fertilizer ?

  • 3:1
  • 2:1
  • 3:2
  • 4:3
Correct Option: B  [ 2:1 ]

Explanation:

Q32. A trader buys some articles at the rate of 5 for a rupee and sells them at the rate of 4 for a rupee. Find his gain per cent.

  • 45
  • 40
  • 30
  • 25
Correct Option: D  [ 25 ]

Explanation:

Q33. Two trains, 132 metre and 108 metre in length are running towards each other on separate parallel lines, one at a speed of 32 km/h and the other at a speed of 40 km/h. In what time will they pass each other from the moment they meet?

  • 12 seconds
  • 10 seconds
  • 15 seconds
  • 20 seconds
Correct Option: A  [ 12 seconds ]

Explanation:

Q34. If diagonals of a parallelogram are equal then

  • it is a rectangle
  • it is a parallelogram
  • Both (A) and (B) are correct
  • None of these
Correct Option: C  [ Both (A) and (B) are correct ]

Explanation:

Q35. In a Rhombus :

  • all sides are equal
  • all sides are not equal
  • Both (A) and (B) are correct
  • None of these
Correct Option: A  [ all sides are equal ]

Explanation:

Q36. First Rs. 8,000 of annual income is tax free and income tax is 1 % beyond this. An employee paid Rs. 160 as income tax in a year. His monthly income is :

  • Rs. 1500
  • Rs. 2000
  • Rs. 2500
  • Rs. 3500
Correct Option: B  [ Rs. 2000 ]

Explanation:

Q37. Two person start from the same point and walk on a circular path at the same speed but in opposite direction. They will be diametrically opposite to each other when each has covered :

  • <sup class="frac">1</sup>&#8260;<span class="frac">16</span>th distance
  • <sup class="frac">1</sup>&#8260;<span class="frac">8</span>th distance
  • <sup class="frac">1</sup>&#8260;<span class="frac">2</span>th distance
  • <sup class="frac">1</sup>&#8260;<span class="frac">4</span>th distance
Correct Option: D  [ <sup class="frac">1</sup>&#8260;<span class="frac">4</span>th distance ]

Explanation:

Q38. If the radius of a circle is diminished by 10 % , then its area is diminished by :

  • 10 %
  • 19 %
  • 20 %
  • 36 %
Correct Option: B  [ 19 % ]

Explanation:

Q39. The value of √156 . 25

  • 12.5
  • 2.45
  • 6.25
  • 3.85
Correct Option: A  [ 12.5 ]

Explanation:

Q40. What is 50 % of 40 % of Rs. 3,450 ?

  • Rs. 690
  • Rs. 520
  • Rs. 517.5
  • None of these
Correct Option: A  [ Rs. 690 ]

Explanation:
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