SSC CGL 11th April 2022 Shift-1

Instructions

For the following questions answer them individually

SSC CGL 11th April 2022 Shift-1 - Question 61


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 ratio of the number of cars passed between 6 am and 8 am to the number of cars passed between 9 am and 11 am?

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SSC CGL 11th April 2022 Shift-1 - Question 62


The given histogram represents the marks of students in Mathematics test of a certain class.
The total number of students is 350.
Study the graph and answer the question that follows .

What is the ratio of the total number of students who scored 140 marks and above to the total number of students who scored marks between 60 to 120?

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SSC CGL 11th April 2022 Shift-1 - Question 63


AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If $$\angle APC = 62^{\circ}$$, then find the measure of the minor arc AC.

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SSC CGL 11th April 2022 Shift-1 - Question 64


If x + y + 3 = 0 , then find the value of $$x^{3} + y^{3} - 9xy + 9$$.

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SSC CGL 11th April 2022 Shift-1 - Question 65


A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between ihe interest at the end of 2 years and that at the end of 4 years is ₹5,082. Find the sum (in ₹).

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SSC CGL 11th April 2022 Shift-1 - Question 66


The lengths of the three sides of a right-angled triangle are (x - 1) cm, (x - 1) cm and (x + 3} cm, respectively. The hypotenuse of the right-angled triangle (in cm) is:

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SSC CGL 11th April 2022 Shift-1 - Question 67


The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 : 11. If both of them manage to save ₹4,000 per month, then find the difference in their incomes (in ₹).

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SSC CGL 11th April 2022 Shift-1 - Question 68


In a $$\triangle$$ ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If $$\angle BAC = 75^{\circ}$$, what is the measure of $$\angle$$ PQR (in degrees)?

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SSC CGL 11th April 2022 Shift-1 - Question 69


Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam'. A total of 90 students failed. Find the number of students that appeared for the exam.

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SSC CGL 11th April 2022 Shift-1 - Question 70


If (x + 6y) = 8, and xy = 2, where x > O, what is the value of $$\left(x^{3} + 216y^{3}\right)$$?

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