SSC CHSL 2021 10th August Shift 2 - QA

Study the given graph and answer the question that follows.

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31$\frac{1}{4}$% of the total number of vehicles of type A produced in 2013, 2015 and 2017 is equal to the number of vehicles of type B produced in the year:

If S is a point on side QR ofa triangle PQR such that QS = 10 cm. QR = 18 cm and ∠PSR = ∠QPR,  then the length of PR will be:

The marked price of a juicer mixer is ₹5,500, and three successive discounts of 40%, 30% and 20% are given on this marked price. The selling price of the juicer mixer is:

In any triangle,if the angles are in the ratio 1 : 2 : 3, then what will be the ratio of the sides opposite to them?

If sin² x - 3 cos² x = 0, then the value of x(0 < x < 90°) is:

The value of $\sqrt{\cos 60° \cos 30°-\sin 60° \sin 30°}$ is:

In a workshop with 80 students and 10 resource persons, sweets were distributed at the end of the workshop. The amount spent for distributing sweets to each student was 30%of the total numberof students and amount spent towards each resource person was 40%of the total numberofstudents. The total amountspent for sweets distribution in the workshop was:

In a circle with center O, P4 and PB aretangents to the circle at.4 and B, respectively, from an external point P. If, ∠AOB = 116° then whatis the measure of ∠OPB?

The histogram shows the marks scored by 40 students in a test with maximum 30 marks.

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What is the percentage of the students who scored less than 20 marks?

If x + $\frac{1}{3}$x = 5, then the value of 27x³ + $\frac{1}{x^3}$ will be: 

Find the compoundinterest (in ₹) on a sum of ₹7,500 for 4 years if the rate ofinterest is 20% per annum for the first two years and 10% per annum for the next two years.(The interest is compounded annually.)

Study the given pie charts and answer the question that follows.
The pie charts show the distribution of students of graduate and postgraduate levels in five different institutes P, Q, R, S and T in a town.

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The difference between the average number of students of graduate level in institutes P, R and T to the average number of students of postgraduate level in institutes P, R and is:

15 persons working 6 hours per day earn ₹900. How much money will 20 persons earn, working 10 hours per day?

x, y and z are three positive numbers such that y is $\frac{4}{5}$ times of x and z is $\frac{5}{8}$ times of y. If the average of reciprocals of the numbers x, y and z is $\frac{17}{240}$,  then the average of 3 times of x and 5 times of y will be:

If 2x + 3y + 4z = 11, 8x³ + 27y³ + 64z³ = 105 and xyz = 1, then the value 4x² + 9y² + 16z² - 6xy - 12yz - 8xz is:

If 1 + 4x² + 16x⁴ = 512, and 1 - 2x + 4x² = 64, then the value of 1 + 2x + 4x² is:

With a speed of 48 kn/h. Raghuis able to complete his journey in 2 hours 28 minutes. If he wants to cover the same distance in 1 hour 36 minutes, then what should be his new speed?

The sum of the squares of the sides of a rhombusis 1600 cm . What is the side of the rhombus?

If the length of a chord of a circle, that makes an angle of with the tangent drawnat one end point of the chord, is 83 cm, then the radius of the circle will be:

The sides of a triangle are in the ratio $\frac{1}{3}$ : $\frac{1}{5}$ : $\frac{1}{4}$ and its perimeter is 141 cm. The difference between the greatest side and the smallest side is:

If $\frac{5 cot \theta +\sqrt{3} \cos ec \theta }{2\sqrt{3} \cos ec \theta +3 cot \theta }$ = 1, 0° < θ < 90° then the value of $\frac{{\displaystyle \frac{7}{2}}{\cot }^2\mathrm{\theta }-{\displaystyle \frac{3}{4}}{\mathrm{cosec}}^2\mathrm{\theta }}{4{\sin }^2\mathrm{\theta }+{\displaystyle \frac{3}{2}}{\tan }^2\mathrm{\theta }}$ will be:

Gaurav bought some articles at 5 for ₹6 and sold them at 10 for ₹11. His loss percentage is:

 If the number 44306768B2 is divisible by both 8 and 11, then the smallest possible values of A and will be:

Study the following graph and answer the question that follows.
Number of students that appeared and qualified, from various colleges, at a scholarship examination.

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What is the ratio of the number of students that appeared to the number of students that qualified at the scholarship examination from College X?

The value of $\frac{284}{5}$ ÷ [($\frac{4}{5}$) × (15 + 35) - 11$\frac{3}{5}$] is: