SSC CGL Tier l 2023 Question Paper Shift 4 (July 18th)

Simplify the following expression.

$$\left[\sqrt{25} + 12 \div 3 - \left\{20 + \left(16 \ of \ 8 \div 6\right) - \left(54 \div 18 \ of \ \frac{1}{2}\right)\right\}\right]$$

If a + b + c = 6 and $$a^{2} + b^{2} + c^{2} = 14$$, then what is the value of $$(a - b)^{2} + (b - c)^{2} + (c -a)^{2}$$?

An amount becomes double in 8 years on simple interest. In how many years would Rs.25,000 become Rs.1,00,000 with the same rate of interest?

The marked price on a book is ₹1,000. In a book fair, it is available for sale with a discount scheme offering two successive discounts of 12% and 8%. What is the final selling price (in ₹) of the book for a customer (rounded off to the nearest integer)?

A and B invested money in a business in the ratio of 7 : 5. If 15% of the total profit goes for charity, and A's share in the profit is Rs.5,950, then what is the total profit?

A shopkeeper purchases six small cold drink bottles for ₹100. For how much should he sell one such bottle to get a profit of 20%?

Find the value of the given expression.
$$\frac{4}{3} \tan^{2} 45^{\circ} + 3 \cos^{2} 30^{\circ} - 2 \sec^{2} 30^{\circ} - \frac{3}{4} \cot^{2} 60^{\circ}$$

Meenu is 38 years old. Her daughter is 8 years old. In how many years will Meenu be double her daughter's age?

Shatabdi Express train covers 700 km in 5 hours and another 1012 km in 11 hours.
What is the average speed of the train (in metres/second)?

In a company, a piece of work can be completed in 4, 6 and 18 days alone by R, S and T, respectively. In how many days will the work be completed if they work together?
(Rounded off to 2 decimal places)