SSC CGL 13th Dec 2022 Shift-1

Instructions

For the following questions answer them individually

Question 51

If $$\sec^2 A + \tan^2 A = 3$$, then what is the value of $$\cot A$$?

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Question 52

If the numerical value of twice the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then what is the numerical value of the radius of the base of the cylinder?

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Question 53

If $$K + \frac{1}{K} + 2 = 0$$ and K < 0, then what is the value of $$K^{11} + \frac{1}{K^4}$$?

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Question 54

An article costs Rs.4,000 to a shopkeeper, who marks its price at Rs.8,400. The shopkeeper sells it to a customer at a discount of 25%. The customer gets a further discount of 15% on the discounted price if the customer redeems a coupon issued by the store previously. What is the profit percentage (to the nearest integer) earned by the shopkeeper in this transaction?

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Question 55

The circumference of the two circles is 110 cm and 330 cm respectively. What is the difference between their radii?

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Question 56

In a 1000 m race, Arjun, Balaji and Charan are running. Arjun beats Balaji by 100 m, and Balaji beats Charan by 100 m. In the next 1000 m race (the speeds are the same as in the previous), Balaji gives Charan a head start of 100 m, and Arjun gives Balaji a head start of 100 m. Find the distance by which the winner is ahead of the person just behind him.

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Question 57

In $$\triangle PQR, \angle Q = 90^\circ, PQ = 8$$ cm and $$\angle PRQ = 45^\circ$$. Find the length of QR.

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Question 58

Salaries of Rida and Riya are in the ratio of 3 : 5, respectively. If the salary of each one is increased by Rs.5,000, then the new ratio becomes 5 : 7. What is Riya’s present salary?

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Question 59

The table given below shows the number of working days of a company in 5 years.

What are ratio of number of working days in year R to the number of working days in year T?

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Question 60

The bar graph given below shows the percentage distribution of the total production of six different types of cars by a car manufacturing company over 2 years.

If 75% of the T type cars produced in each year were sold by the company, how many T type cars remain unsold?

Video Solution
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