SSC CHSL 13th April 2021 Shift-3

Instructions

For the following questions answer them individually

SSC CHSL 13th April 2021 Shift-3 - Question 51


The given pie chart shows the distribution of money spent by Aditya through credit cards of different banks A, B, C, D and E. The total money spent by him through credit cards in a year is ₹3,60,000.

What is his combined spending through credit cards of bank A and bank C?

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SSC CHSL 13th April 2021 Shift-3 - Question 52


The side BC of a triangle ABCis extended to a point D. If $$\angle ACD = 117^\circ$$ and $$\angle ABC = \frac{5}{8} \angle BAC$$ , then what is the measure of $$\angle ABC$$?

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SSC CHSL 13th April 2021 Shift-3 - Question 53


The perimeter and the area of a rectangular sheet are 42 m and 108 m$$^2$$, respectively. The length of the diagonal is:

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SSC CHSL 13th April 2021 Shift-3 - Question 54


If $$\frac{3\sqrt{3}\sec \theta + 4 \tan \theta}{3 \tan \theta + \sqrt{3} \sec \theta} = 2, 0^\circ < \theta < 90^\circ$$, then the value of $$\cos \theta$$ will be:

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SSC CHSL 13th April 2021 Shift-3 - Question 55


If the number 583p2310q?2is divisible by 11, then whatis the value of $$p \times q$$, where $$p > q$$?

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SSC CHSL 13th April 2021 Shift-3 - Question 56


P, Q and R are three points on the circumferenceofa circle such that QRis a diameter and PQ = PR. If the radius of the circle is 7 cm, then the length of PQ is:

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SSC CHSL 13th April 2021 Shift-3 - Question 57


Solve the following equation.
$$\theta : 2 \cos^2 \theta + (4 + \sqrt{3})\sin \theta - 2(1 + \sqrt{3}) = 0$$ where $$\theta$$ is an acute angle.

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SSC CHSL 13th April 2021 Shift-3 - Question 58


A sum of money amounts to ₹28,224 in 2 years and to ₹29,635.20 in 3 years when invested on compound interest, compounded annually. Whatis the sum of money?

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SSC CHSL 13th April 2021 Shift-3 - Question 59


If $$x^3 + y^3 = 468$$ and x + y = 12, then the value of $$x^4 + y^4$$ will be:

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SSC CHSL 13th April 2021 Shift-3 - Question 60


Acircle touchesall four sides of a quadrilateral PQRS. If PQ = 11 cm, QR = 12 cm and PS = 8 cm,then whatis the length of RS?

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