SSC-CGL Solved Paper Mar 4, 2020, Shift 3

If x + y + z = 3, and x² + y² + z² = 101, then √ (x³ + y³ + z³ - 3xyz) =?

A sold an article to B at a loss of 20%. B sold it to C at a profit of 12.5%. C sold it to D at a loss of 8%. D pays Rs 248.4 for that article. Find . . .

A sum of Re. x is divided between A, B, C and D in the ratio 1/3 : 1/5 : 1/6 : 1/9. The difference between the amount of B and D is Re. 832. Find th . . .

4 men and 6 women can do a work in 5 days. 3 men and 4 women can do the same work in 7 days. How many men will assist 25 women to complete 2-1/2 tim . . .

If SP of an article is 80% more than CP and a discount of 10% is given on MP. What is the ratio of CP : MP?

A field whose area is 2400√3 sq. m is in the shape of a regular hexagon. If the cost of fencing the field is Rs 16.80/m, then find the total cost r . . .

A sum of Rs 8000 is invested at the rate of 10% amounts to Rs 9261 if compounded half-yearly. What will be the amount if the rate of interest is dou . . .

Chords AB and CD of a circle intersect at E. If AE = 12cm, BE = 20.25cm and CE = 3DE. Find the length of CE?

If 2x² + y² + 8z² - 2√2xy + 4√2yz - 8zx = (Ax + y + Bz)², then the value of A² + B² - AB =?

How many numbers are there between 200 and 800 that are neither divisible by 5 nor by 7?

If 12x² - 21x + 1 = 0, then the value of 9x² + 1/16x² =?

Two circles of radius 5 cm and 7 cm intersect at two points A and B. if the distance between the centres of two circles is 10 cm, then find the leng . . .

If 7cos²θ + 3sin²θ = 6, then (cot²θ + sec²θ )/(tan²θ - sin²θ) = ?

The distance between two places is 144 km. If two cars are running in the same direction then the faster car takes over the slower car in 12 hours w . . .

If secθ + tanθ = p, then the value of (p² - 1)/(p² + 1)

In a triangle ABC, AC = 8.4 cm, BC = 14 cm. P is a point on AB such that CP = 11.2 cm and angle ACP = angle B. What is the length BP?