SSC CGL Tier l 2023 Question Paper Shift 1 (July 20th)

Instructions

For the following questions answer them individually

SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 51


A shopkeeper sold a pair of headphones for ₹5,520 at a gain of 20%. What would have been the gain or loss percent if it had been sold for ₹4,370?

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SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 52


In a certain year, the population of a city was 18000. If in the next year, the population of males increased by 5% and that of females increased by 7%, and the total population increased to 19200, then what was the ratio of the populations of males and females in that given year?

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SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 53


An inlet pipe can fill an empty tank in 120 hours while an outlet pipe drains a completely-filled tank in 54 hours. If 8 inlet pipes and 3 outlet pipes are opened simultaneously, when the tank is empty, then in how many hours will the tank get completely filled?

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SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 54


If $$\sin x = \frac{3}{10}$$, then what is the value of $$\tan x + \cot x = $$?

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SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 55


The marked price of a frock is ₹4,500. It is to be sold at ₹2,400 at two successive discounts. If the first discount is 20%, then the second discount will be:

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SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 56


Which of the following numbers is divisible by 11?

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SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 57


Two trains of length 130 m and 120 mare running on parallel lines in the same direction at a speed of 40 km/h and 50 km/h, respectively. In how much time will they pass each other?

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SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 58


The square of the sum of two given natural numbers is 784, while the product of the two given numbers is 192. Find the positive difference between the squares of these two given numbers.

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SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 59


Solve the given expression.
$$\frac{\sec^2(90^\circ - \theta) - \cot^2 \theta}{2(\sin^2 35^\circ + \sin^2 55^\circ)}$$

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SSC CGL Tier l 2023 Shift 1 (July 20th) - Question 60


What is the sum of the divisors of 484 that are perfect squares?

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