SSC CGL Solved Papers Portal

A triangular prism has side lengths of 5 cm, 6 cm, and 7 cm. If its height is 8 cm, what is the lateral surface area?

A solid metal sphere of radius 12 cm is melted and reshaped into smaller spheres, each of radius 2 cm. How many smaller spheres can be created?

The internal surface area (in cm²) of an open (at the top) cuboidal box whose internal length, breadth and height are 8 cm, 17 cm and 22 cm, respectively, is:

A circular sprinkler is placed inside a triangular garden with sides 13 m, 14 m, and 15 m. What is the radius of the sprinkler if it touches all three sides of the triangle?

ABCD is a quadrilateral in which AB || DC, and E and F are the mid points of the diagonals AC and BD, respectively. If AB = 60 cm, BC = 65 cm, DC = 18 cm, and AD = 10 cm, then what is the length (in cm) of EF?

The equations x² - 5x + 6 = 0 and x² + ax + b = 0, have exactly one common root, and the other root of the second equation is -4. Among the following, which are the possible values of a and b?

If (5x + 1)³ + (x + 3)³ + 8(3x - 4)³ = 6(5x + 1)(x + 3)(3x - 4) then the value of x is:

Find the solution (x, y, z) for the following system of equations:
x - y + z = 2
2x - y - z = -6;
x + 2y + z = -3

On a farm, there are 60 hens, 55 goats, 12 horses and some farmers. If the total number of feet is 285 more than the total number of heads, then find the number of farmers.

Find the value of √[(cot θ + cos θ) / (cot θ - cos θ)]

If sec²θ + tan²θ = 7/12, find the value of sec⁴θ - tan⁴θ

If ^{1 + cos θ}⁄_{1 - cos θ} = ^m2⁄_n², then the value of ^{m2 + n2}⁄_mn is :

From the summit of a 90-meter-high building, the angles of depression to the top and bottom of a tower are measured at 30° and 60° respectively. What is the height of the tower?

If x = ^{(√5 + √3)}⁄_{(√5 - √3)} + ^{(√5 - √3)}⁄_{(√5 + √3)}, then the value of x is:

If n is a natural number, then n(n+1)(n+2)(n+3) + 1 is always:

Evaluate: (1 - 1/3)(1 - 1/4)(1 - 1/5).......(1 - 1/36)

A salt and water mixture, of which 7.5% is salt, costs 22.50 per litre. Another salt and water mixture, of which 17.5% is salt, costs z per litre. If the cost of twelve litres of a salt and water mixture, of which 22.5% is salt, is 450, find the value of z.

A prominent global logistics corporation liquidates two surplus GPS tracking modules to a secondary technology buyer. The final sales contract indicates that both modules were sold for exactly Rs.990 each. The corporate accounting ledger reveals that one module yielded a 10% financial profit on its original cost, while the other module resulted in a 10% financial loss. Calculating across the entirety of this dual transaction, what is the corporation's overall net profit or loss percentage?

A pen is priced at 47. A scheme offers "Buy 4, Get 1 at 50% off". What is the effective price per pen?

Surjeet buys 20 kg of sugar for 900. He sells 18 kg of sugar for 918. What is the percentage profit made by Surjeet?

In an isosceles triangle , AB=AC. Each of the equal angles is 5⁰ more than three - fourths of the third angle. Find the value of (3∠A - ∠B).

Two pipes, A and B, can fill a tank in 8 hours and 14 hours, respectively. A third pipe C, can empty the completely filled tank in 12 hours. If all three pipes are opened together in an empty tank, then how long (in hours) will it take to fill the tank?

Two trains of lengths 200 m and 250 m run in the same direction at speeds of 60 km/h and 90 km/h. How long will the faster train take to cross the slower one?

A glass contains 500 cc of milk and a cup contains 500 cc of water. From the glass, 150 cc of milk is transferred to the cup and mixed thoroughly. Next, 150 cc of mixture is transferred from the cup to the glass. The amount of water in glass and the amount of milk in the cup are in the ratio

In the given histogram, which class is the median class?