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Find the Simple Interest when Principal = 10000, Rate = 8% per annum, and Time = 5 years.

Simple Interest

Asked in: SSC, CGL

Categories Simple Interest, Maths

A landlord bought a flat for 800,000. He wants to earn a 9% annual return on his investment after paying 2,000 per month for maintenance. What should be the monthly rent he charge?

Percentage

Asked in: SSC, CGL

Categories Percentage, Maths

A’s salary is 40% more than B’s. If B’s salary increases by 20% and A’s increases by x%, then A’s new salary becomes 25% more than B’s new salary. What is the value of x?

Percentage

Asked in: SSC, CGL

Categories Percentage, Maths

The production of bottles rose to 26000 from 16000 in 2 years. Find the rate of growth per annum.

Percentage

Asked in: SSC, CGL MAINS 2026

Categories Percentage, Maths

The price of a product is decreased by x% and then increased by x%. The final price becomes 10% less than the original. What is the value of x (approximately)?

Percentage

Asked in: SSC, CGL MAINS 2026

Categories Percentage, Maths

Find the value of 3¹ + 3² + 3³ + … + 3⁸.

Algebra

Asked in: SSC, CGL

Categories Algebra, Maths

How many integers in the set {1, 2, 3, …, 100} have exactly 3 divisors?

Algebra

Asked in: SSC, CGL

Categories Algebra, 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, Triangles

In an equilateral triangle the circumcenter coincide with which of the following?

Mensuration

Asked in: SSC, CGL MAINS 2026

Categories Mensuration, Maths, Triangles

The following table shows marks obtained by students out of 50. Determine the median.Class Interval (Marks) : Frequency0-10 : 510-20 : 820-30 : 630-40 : 640-50 : 5

Statistics

Asked in: SSC, CGL MAINS 2026

Categories Statistics, Maths

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Maths (51)
- Algebra (3)
- Average (1)
- Compound Interest (1)
- Cordinate Geometry (1)
- Mensuration (12)
  - Circle (1)
  - Surface Area and Volume (1)
  - Triangles (7)
- Partnership (6)
- Percentage (5)
- Probability (1)
- Ratio and Proportion (4)
- Simple Interest (1)
- Statistics (2)
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- Trigonometry (3)

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The investments of three partners, P, Q, and R, are initially in the ratio 6 : 7 : 9. After a year, P adds ₹30,000, Q adds ₹25,000, and R adds some amount to their respective investments. The new ratio of their investments becomes 8 : 9 : 11. Find the amount (in ₹) added by partner R.
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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 1/3, 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. (SSC CGL MAINS 19 JAN 2026)
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Find the third proportional to 18 and 36.
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Find the average of the numbers: 49, 57, 51, 48, 59.
Find the Simple Interest when Principal = 10000, Rate = 8% per annum, and Time = 5 years.
The price of petrol shot up by 5%. Before the hike, the price was Rs. 2 per litre. A man travels 3045 km every month and his car gives a mileage of 15 km per litre. What is the increase in the monthly expenditure (to the nearest Rs.) on the man’s travel due to the hike in the petrol prices?
A landlord bought a flat for 800,000. He wants to earn a 9% annual return on his investment after paying 2,000 per month for maintenance. What should be the monthly rent he charge?
A’s salary is 40% more than B’s. If B’s salary increases by 20% and A’s increases by x%, then A’s new salary becomes 25% more than B’s new salary. What is the value of x?
The production of bottles rose to 26000 from 16000 in 2 years. Find the rate of growth per annum.
The price of a product is decreased by x% and then increased by x%. The final price becomes 10% less than the original. What is the value of x (approximately)?
Find the value of 3¹ + 3² + 3³ + … + 3⁸.
How many integers in the set {1, 2, 3, …, 100} have exactly 3 divisors?
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?
In an equilateral triangle the circumcenter coincide with which of the following?
The following table shows marks obtained by students out of 50. Determine the median.Class Interval (Marks) : Frequency0-10 : 510-20 : 820-30 : 630-40 : 640-50 : 5
A rectangle has area 48 cm² and perimeter 28 cm. If the midpoints of the sides are joined to form a rhombus, what is the area of the rhombus?
In a right-angled triangle ABC, ∠B = 90°. If AB = 6 cm and BC = 8 cm, what is the distance between the centroid (G) and the orthocenter (H)?
In a right-angled triangle ABC, ∠B = 90°. If AB = 6 cm and BC = 8 cm, what is the distance between the centroid (G) and the orthocenter (H)?
In a triangle △PQR, ∠R = 62°. The perpendicular bisector of PQ at S meets QR at T. If ∠TPR = 38°, what is the measure of ∠PQR?
What is the value of 3 − (sin 239° + sin 251°)?
If (sinθ)/x = (cosθ)/y, prove that sinθ − cosθ = (x − y)/√(x² + y²).
Simplify the trigonometric expression (tan²θ − sin²θ) / (2 + tan²θ + cot²θ).
P and Q can do a work in 20 and 30 days respectively. They work together for 6 days, then Q is replaced by R. Remaining work is completed in 8 days. In how many days can R alone complete 60% of the work?
A chord of a circle subtends an angle of 60° at the circumference of the circle. What is the ratio of the radius of the circle to the length of the chord respectively?
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?
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.
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.
The base of a right pyramid is an equilateral triangle with side 10 cm, and its vertical height is 24 cm. Find the volume (in cm³) of the pyramid.
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)
If 3x − ky + 8 = 0 and 9x − 18y + 20 = 0 have no solution, find k.
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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?
In an equilateral triangle, the circumcenter coincides with which of the following?
A rectangle has an area of 48 cm² and a perimeter of 28 cm. If the midpoints of the sides of the rectangle are joined to form a rhombus, what will be the area of the rhombus?
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