SSC-CGL Solved Paper Jun 4, 2018, Shift 1

In a triangle ABC, the points F and E respectively on AB and AC sides are such that FE || BC and FE divide the triangle into two parts with equal ar . . .

The average of twelve numbers is 42. The last five numbers have an average of 40 and the first four numbers have an average of 44. The sixth number . . .

Trigonometric: $\displaystyle \frac{2 + \tan^2 \theta + \cot^2 \theta}{\sec \theta \cosec \theta} = ?$

Four years ago, the ratio of the ages of A and B was 4: 5. Eight years from now, the ratio of the ages of A and B will be 11: 13. What is the sum of . . .

A truck covers a distance of 384 km at a certain speed. If the speed is reduced by 16 km / h, it will take two hours more to cover the same distance . . .

Someone sold an item at a loss of 15%. If he sold it for Rs 30.60 more then he would get 9% profit. In order to get 10% profit, he has to sell the i . . .

If a number of 9 digits is 985x3678y, the number is divisible by 72, then the value of (4x - 3y) will be:

An amount becomes 8,028 in 3 years at a fixed percentage interest rate and 12,042 in 6 years, when the interest is compounded annually. What is the . . .

The ratio of efficiencies of A, B and C is 2 : 5 : 3. On working together, all three of them can complete work in 27 days. In how many days will bot . . .

If 120 is reduced by x%, the same result will be obtained if 40 is increased by x%. Then x% of 210 will be what percentage less than (x + 20) % of 1 . . .

After giving two successive discounts each of x% on the marked price of an item, total discount is Rs. 259.20. If the face value of the object is Rs . . .

The radius of a circle with O center is 10 cm, PQ and PR are the chords of 12 cm. PO cuts the chord QR at point S. What is the length of OS?

A circle is drawn inside a triangle ABC. The circle touches the sides AB, BC and AC at the points R, P and Q respectively. If AQ = 4.5 cm, PC = 5.5 . . .

In ∆ ABC, the bisectors of ∠B and ∠C meet at point O inside the triangle. If ∠BOC = 122 degree , what will be the measure of ∠A?

If $\displaystyle \sin \theta = \frac{p^2 - 1}{p^2 + 1}$, then $\displaystyle \cos \theta = ?$

If $\displaystyle x^{4} + x^{-4} = 194, x \gt 0$, then what would be the value of $\displaystyle (x - 2)^2 ?$

If $\displaystyle \frac{5\sqrt 5 x^3 - 81\sqrt 3 y^3}{\sqrt 5 x - 3\sqrt 3 y} = $ $\displaystyle Ax^2 + By^2 +Cxy, $ then $\displaystyle 6A + B - \s . . .

If $\displaystyle x + y + z = 19$, $\displaystyle x^2 + y^2 + z^2 = 133$ and $\displaystyle xz = y^2$, then the difference between $\displaystyle x$ . . .

If $\displaystyle 4 - 2\sin^2 \theta - 5\cos \theta = 0$, with $\displaystyle 0\degree \lt \theta \lt 90 \degree$, then the value of $\displaystyle . . .

A solid cube with a volume of 13824 cu. cm is cut into eight cubes of the same volume. The ratio of the surface area of the original cube and the to . . .