SSC CGL 16th August 2021 Shift-2
For the following questions answer them individually
$$\frac{\cot^3 \theta}{\cosec^2 \theta} + \frac{\tan^3 \theta}{\sec^2 \theta} + 2\sin \theta \cos \theta = ?$$
If the nine-digit number 7p5964q28 is completelydivisible by 88, whatis the value of $$(p^2 - q)$$ , forthe largest value of q, where p and q are natural numbers?
Table shows the number of trees planted in 4 cities from 2016 to 2020.
In which year were the maximum number of trees planted?
Chamanial, Arshad and Jagjit Singh contested an election. All the votes polled were valid. Arshad got 35% ofthe total votes. For every 35 votes Chamanilal got 14 votes. The winner got 4950 more votes than the person who received the least number of votes. Find the total number of votes polled.
AB is a diameter of a circle. C and D are points on the opposite sides of the diameter AB, such that $$\angle ACD = 25^\circ$$. E is a point on the minor are BD. Find the measure of $$\angle BED$$ (in degrees).
Three shopkeepers A, B and C marked an identical article at ₹4820. A, B and C sold their article on successive discounts of 20% and 20%; 25% and 15%; 30% and 10% respectively. Which shopkeeper gives the maximum discount and how much (in Rs)?
Hridaya opened her piggy bank and found coins of denomination ₹1, ₹2, ₹5 and ₹10 in the ratio 10 : 5 : 2 : 1. If there are 72 coins in all, then how much money (in ₹) was there in the piggy bank in the form of coins?
A sum at a certain rate of simple interest becomes ₹14880 after 3 years and ₹16800 after 5 years. Find the simple interest on the same sum at 10%per annum for 4 years (in ₹).
From an external point A, two tangents AB and AC have been drawnto a circle touching the circle at B and C respectively. P and Q are points on AB and AC respectively such that PQ touchesthe circle at R. IfAB = 11 cm, AP=7 cm and AQ = 9 cm, then find the length of PQ (in cm).
What is the ratio of the average of first eight prime numbers to the average of first ten even natural numbers?
