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The expenditure of a company on five heads A, B, C, D and E is in proportion to 3:5:7:11:? respectively. The expenditure on E is equal to the arithmetic mean of the expenditures on A and D. If the expenditure on C exceeds that on B by ₹18,000, find the total expenditure of the company.

Ratio and Proportion

Asked in: SSC, CGL MAINS 2026

Categories Ratio and Proportion, Maths

A, B, and C invest in a business in the ratio 2:3:5. After 4 months, A increases his capital by 50%, B decreases his capital by 50%, and C leaves the capital unchanged. At the end of the year, if the total profit is Rs. 33,000, find the share of B.

Partnership

Asked in: SSC, CGL MAINS 2026

Categories Partnership, Maths

A sum of 4800 is divided among A, B and C in the ratio 3:4:5. By how much is B’s share more than A’s share?

Partnership

Asked in: SSC, CGL MAINS 2026

Categories Partnership, Maths

A hemispherical tank is full of water. It is connected to a pipe that empties it at a rate of 7 litres per second. How much approximate time (in minutes) will it take to empty half the tank if the internal radius of the tank is 2.1 meters? (Use π = 22/7 and 1 m³ = 1000 liters)

Mensuration

Asked in: SSC, CGL, CGL MAINS 2026, CHSL

Categories Mensuration, Maths

If 3x − ky + 8 = 0 and 9x − 18y + 20 = 0 have no solution, find k.

Cordinate Geometry

Asked in: SSC, CGL, CGL MAINS 2026, CHSL

Categories Cordinate Geometry, Maths

A number is chosen at random from the set {1, 2, 3, …, 120}. What is the probability that the number chosen is divisible by 6 or 8 but not divisible by 24?

Probability

Asked in: SSC, CGL, CGL MAINS 2026, CHSL

Categories Probability, Maths

If the mode of the data set {a, a + 2, a + 4, a + 6, a + 6, a + 6, a + 8} is 26, find a.

Algebra

Asked in: SSC, CGL MAINS 2026

Categories Algebra, Maths

At what rate of interest per annum will a sum of Rs.15,625 amount to Rs.19,683 in 1 year and 6 months, if the interest is compounded half-yearly?

Compound Interest

Asked in: SSC, CGL MAINS 2026

Categories Compound Interest, Maths

The diagonals of three faces of a rectangular parallelepiped that meet at a single corner measure √5 cm, √10 cm, and √13 cm. What is the volume of this parallelepiped?

Mensuration

Asked in: SSC, CGL MAINS 2026

Categories Mensuration, Maths

In an equilateral triangle, the circumcenter coincides with which of the following?

Mensuration

Asked in: CGL MAINS 2026

Categories Mensuration, Maths, Triangles

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- Compound Interest (1)
- Cordinate Geometry (1)
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  - Triangles (7)
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