SSC CGL 19th April 2022 Shift-1

The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.
What is the maximum change percentage in the number of cars as compared to the previous hour? ( correct to 2 decimal places)

If $$a^{3} + b^{3} = 218$$ and a + b =2, then the value of $$\sqrt{1-ab}$$ is:

A sum of ₹18,000 becomes ₹21,780 after 2 years on compound interest compounded annually. What will be the compound interest (in ₹) on the same sum for the same period if the rate of interest increases by 5%?

14 men can complete a work in 15 days. If 21 men are employed, then in how many days will they complete the same work?

A invested 30% more than B. B invested 40% less than C. who invested ₹8,000. The average of the total amount invested by all of them together (to the nearest ₹) is:

The length of the shadow on the ground of a tall tree of height 30 m is $$10\sqrt{3}$$ m. What is the angle (in degrees) of elevation of the sun?

The profit earned by selling an article for ₹832 is equal to the loss incurred when the article is sold for ₹448. What should be the selling price (in ₹) to make a profit of 10%?

From the body of a solid cube of edge 7 cm, a solid sphere is removed. The volume of the remaining solid was found to be $$163\frac{1}{3} cm^{3}$$. What is the diameter (in cm) of the sphere? (Taken $$\pi = \frac{22}{7}$$).

Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF?

A shopkeeper offers his customers a discount of 10%. On an item marked at a price of ₹400, which was a little damaged, he offered additional discount of 10%. At what price (in ₹) is the item available to customers?