SSC CGL Solved Papers Portal

Four prime numbers are listed in order. If the product of the first three is 105 and the product of the last three is 385, what is the largest prime number?

A train, $(x+40)$ m long, passes a pole in 10 seconds and crosses a bridge, $(x-10)$ m long, in 15 seconds. Find the value of x.

In a triangle, if one angle measures twice the smallest angle and the third one measures three times the smallest angle, then the measure of the greatest angle is

Given is the data on the ages of the students of a class. What is the mean age of all the students taken together?

An amount of ₹120 is paid using ₹10, ₹5 and ₹2 coins. If the number of coins of ₹10 and ₹2 are interchanged, then the amount becomes ₹304. If the number of ₹5 and ₹2 coins are interchanged, then the amount is ₹165. How many ₹2 coins are used in the payment of ₹120?

There are two circles touching each other externally. The radius of the first circle with centre O is 12 cm. The radius of the second circle with centre A is 5 cm. Find the length of their common tangent touching the two circles at points P and Q.

During a sale, 50% of the goods are sold at 37% profit, 30% of the remaining goods are sold at 26% profit and the still remaining goods are sold at a loss of 24%. If there is an overall profit of x%, then what is the value of x?

In an isosceles triangle ABC, $AB=AC$. D is a point inside the triangle such that $\angle BAD=20^\circ$, $\angle DCB=20^\circ$, and $\angle CAD=80^\circ$. The value of $\angle ABC$ is:

Solve the given equations for (x, y, z):
$x + y + z = 2$
$6x - 4y + 5z = 31$
$5x + 2y + 2z = 13$

A vertical communication tower stands on a building 30 meters high. From a point 70 meters from the building, the angles of elevation to the top and bottom of the tower are $60^\circ$ and $30^\circ$, respectively. What is the height of the tower (in m)?

The diagonals of a rhombus are in the ratio 3 : 4, and the length of each side of the rhombus is 25 cm. The tiler covering the rhombus-shaped floor needs its area before ordering the tiles. Find the area of the rhombus.

A regular octagonal fountain has a circumradius of 10 m. Find the approximate length of each side.

If $\sin P = \frac{5}{13}$ and $\cos Q = \frac{12}{13}$, find $\sin P \cos Q + \cos P \sin Q$:

Find the value of m which satisfies
$\left(\frac{23}{8}\right)^{12} \times \left(\frac{8}{23}\right)^{15} \times \left(\frac{23}{8}\right)^{9} = \left(\frac{8}{23}\right)^{8m+8}$

If $\tan A = 3$, find the values of $\sin A$ and $\cos A$.

A shopkeeper offers a fixed discount of 15% on rice and 100 gm rice free with every purchase of 1.9 kg rice. Find the overall discount percent offered by him on rice.

A solid hemispherical block is melted and recast into a cone of the same radius. The height of the cone is what fraction of the radius of the hemisphere?

Amit is standing on the ground and flying a kite using a 100 m long string at an angle of elevation of 30°. Nitin is standing on the roof of a building that is 10 m high and flying his kite at an angle of elevation of 45°. The two boys are standing on opposite sides of the point where the kites meet. Find the length (in m) of the string that Nitin must use so that both kites meet at the same point.

If $a + \frac{1}{a} = 3$, then find the value of $a^6 + \frac{1}{a^6}$

Find the area of a minor sector of a circle whose circumference is 88 cm and the length of its minor arc is 22 cm (use $\pi = 22/7$).

If the number of sides of a regular polygon is 12, then the measure of each exterior angle is:

Which of the following pairs of words can be used to fill in the blanks most suitably?

The _______ sorcerer upturned the _______ of poison into the goblet, his lips curling into a smirk.

Out of the four alternatives, select the word opposite in meaning to the word given.

Ensconce

Examine the given sentence and pick out the error.

In order to overcome the mental depression and stress (1) adapting meditation, yoga or (2) similar other methods (3) can be helped

Select the correctly spelt word.