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Mathematics β€” Old Questions (TPSC)

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Today (June 10, 2026) Daily MCQs: 60 questions β€” Showing page 5 of 6

Q41. A alone can finish a piece of work in 12 days and B alone can do it in 15 days. How much time will they take to finish this work if they work together ?

  • 6 * 1/2 days
  • 6 * 2/3 days
  • 8 days
  • 8 * 1/2 days
Correct Option: B  [ 6 * 2/3 days ]

Explanation:

Q42. A man bought an article for Rs. 850.00 and sold it at a gain of 8 %. For how much did he sell it ?

  • Rs. 900.00
  • Rs. 950.00
  • Rs. 930.00
  • Rs. 918.00
Correct Option: D  [ Rs. 918.00 ]

Explanation:

Q43. If the diameter of a circle is 14 cm, what is the value of its circumference ?

  • 44 cm
  • 32 cm
  • 22 cm
  • 38 cm
Correct Option: A  [ 44 cm ]

Explanation:

Q44. How many 3 cm long cubes can be cut from a cube whose each edge is 15 cm in length ?

  • 90
  • 120
  • 125
  • 150
Correct Option: C  [ 125 ]

Explanation:

Q45. 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:

Q46. 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:

Q47. 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:

Q48. 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:

Q49. 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: Explanation:
A rhombus is a quadrilateral in which all four sides are equal in length.

However, the angles of a rhombus are not necessarily equal.

So,
Statement (A): All sides are equal βœ”οΈ
Statement (B): All sides are not equal βœ–οΈ

Correct Option: (A) All sides are equal
πŸ“Œ Exam tip: Rhombus = equal sides, but angles may differ (except square).

Q50. 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: Explanation:
First Rs. 8,000 of annual income is tax free
Income tax rate beyond Rs. 8,000 = 1%

Given income tax paid in a year = Rs. 160

Let taxable income beyond Rs. 8,000 = x

Then,
1% of x = 160
x = 160 × 100 = 16,000

Total annual income =
Tax free income + Taxable income
= 8,000 + 16,000
= Rs. 24,000

Monthly income =
24,000 ÷ 12 = Rs. 2,000

Answer: The monthly income of the employee is Rs. 2,000.
πŸ“Œ Exam tip: Always find taxable income first, then add tax-free income.
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