SSC-CGL Solved Paper Mar 3, 2020, Shift 1

Chords AB and AC subtend angles of 110° and 130° at the center of a circle as shown. The angle BAC = ?

A, B and C can do a work in 24, 12 and 15 days respectively. All start a work together. After 3 days B and C leave the work. How many days will A ta . . .

If 1005x4 is divisible by 8, find the value of x?

If the radius of a circle is 42 cm, how much distance will be covered by making 8 rounds?

The average of first 5 numbers out of 6 numbers is equal to 7 times the 6-th number. If average of all the numbers is 138, then what is the 6-th num . . .

A completes a job in 40 days. The efficiency of B is 25% more than that of A. C is 28% more efficient than B. The work can be completed by A, B and . . .

If x - y = 4, and xy = 45, what is the value of (x³ - y‎³)?

if x = 4cos A + 5sin A, and y = 4sin A - 5cos A, then find the value of (x² + y²)?

Radii of two cylinders are in the ratio 4 : 5 and their heights are in the ratio 9 : 8. The ratio of their volumes is?

ABC is a triangle with an area of 44 sq. cm. If D and E are the midpoints of BC and AB respectively, then the area of triangle BDE is?

In a triangle ABC, M and N are points on AB and AC respectively, such that MN is parallel to BC and AN : NC is 4 : 5. If the area of the quadrilater . . .

Re 4300 becomes Re 4644 when invested at SI for 2 years. What will Re 10104 become when invested for 5 years at the same plan?

Given x + y = 8, y + z = 13, z + x = 17, then the value of x²/yz = ?

If $\displaystyle x^{2a} = y^{2b} = z^{2c}$ and x² = yz, then (ab + bc + ca)/bc = ?

If 6 tan A = 5, then (8 sin A- 4 cos A)/(cos A - 2 sin A) = ?

Raj sells an item at Rs. x and incurs a loss of 10%. Had he sold it at a profit of 20%, he would have got Rs. 332 more. What is x?

An item marked at Rs. 350 is sold at a discount of 28%. What is the cost price if the profit is 12%?

Length of a rectangle is increased by 40%, and the breadth reduced by 20%. Find the percent change in the area?

In a class of 640 the ratio of boys to girls is 5 : 3. If the number of girls is increased by 30, how should the strength of boys be changed so that . . .

A train crosses a pole in 18 seconds, but a 170 meter long bridge in 36 seconds. What is the speed of the train?

If (secθ + tanθ)/(secθ - tanθ) = 5/3, what is the value of (cosecθ + cotθ)/(cosecθ - cotθ)?

If x⁴ + x²y² + y⁴ = 21, x² + xy + y² = 7, then the value of (1/x² + 1/y²) = ?

A circular park is in the form of a ring of inner and outer circumference 440 m and 506 m. The cost of levelling at Rs. 6 per square meter is?

200 leaves a remainder 8 when divided by x. How many such x are possible?

Speed of a train A is 20% more than that of train B. After meeting, they take x and 2-1/2 hours respectively to reach their destinations. What is x?

A train crosses a pole in 18 seconds, but a 170 meter long bridge in 36 seconds. What is the speed of the train?