SSC CGL 11th April 2022 Shift-3

If p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24, then find the value of $$\left(2p + q\right)$$.

A sum of money was borrowed and paid back in two equal annual instalments of ₹980, allowing 4% compound interest. The sum (in₹, to the nearest tens) borrowed was:

Two circles touch each other externally at T. RS is a direct common tangent to the two circles touching the circles at P and Q, $$\angle TPQ = 42^{\circ}$$. $$\angle$$ PQT (in degrees) is:

If $$\sec A = \frac{17}{8}$$, given that $$A < 90^{\circ}$$, What is the value of following? $$\frac{34 \sin A + 15 \cot A}{68 \cos A - 16 \tan A}$$

AB is the diameter of a circle with centre O. C and D are two points on the circumference of the circle on either side of AB. such that $$\angle CAB= 42^{\circ}$$ and $$\angle ABD = 57^{\circ}$$. What is difference (in degrees) between the measures of $$\angle CAD$$ and $$\angle CBD$$?

If $$a^{2} + b^{2} + c^{2} = 6.25$$ and (ab + be - ca)= 0.52. what is the value of (a + b + c). if (a + b + c) < 0 ?

What is the greatest number by which when 156. 181 and 331 are divided, the remainder is 6 in each case?

A can finish a piece of work in 48 days and B can finish it in 60 days. They work together for 12 days and then A goes away. In how much time (in days and hours) will B finish 25% of the remaining work?

The following pie-charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400 in academic years 2019 and 2020.
respectively. What is the percentage increase or decrease in the number of students of Engineering in 2020 as compared to 2019? (correct to 2 decimal places)

A 35 cm high bucket in the form ofn frustum is full of water. Radii of its lower and upper ends are 12 cm and 18 cm, respectively. If water from this bucket is poured in a cylindrical drum, whose base radius is 20 cm, then what will be the height of water (in cm) in the drum?