SSC CGL Tier l 2023 Question Paper Shift 3 (July 19th)

The sum of the two numbers is 98. The difference between the two numbers is 28. Find one of the two numbers.

The speed of boat a down the stream is 125% of the speed in still water. If the boat takes 30 minutes to cover 20 km in still water, then how much time (in hours) will it take to cover 15 km upstream?

Archana took a loan of ₹78,000 from a bank on $$24^{th}$$ January 2012 at $$8\frac{3}{4}\%$$ per annum simple interest and paid it back on $$18^{th}$$ June 2012. Find the total amount paid by Archana. (Approximated to nearest integer)

Mother told her daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be". Find the present ages of the mother and the daughter, respectively.

The following pie chart shows the annual expenditure on different items.
What is the minimum angle in the given pie chart?

What is the number of common tangents that can be drawn to two circles that touch each other externally?

Which of the numbers 9592450, 9592330, 9592885 and 9592741 is divisible by 11?

The number of mobile sim-cards in 4 states/UT are given in the bar diagram. Study the diagram and answer the question.

In Delhi, the ratio of BSNL Sim-cards and Airtel Sim-cards sold is:

For any acute angle $$\theta$$, $$\sin \theta + \sin^{2} \theta = 1$$, then the value of $$\cos^{2} \theta + \cos^{4} \theta$$ = __________.

Two persons started running on a circular track at a speed of 20 m/s and 30 m/s in opposite directions. If the circumference of the circular track is 100 m, find at how many distinct points they will cross each other?