SSC CHSL 2021 9th August Shift 1 - QA

If 71⁸³ + 73⁸³ is divided by 36, the remainder is:

A shopkeeper marks his goods at a price such that after giving a discount of 20%, he gains 25%. If the costprice of the article is ₹560, what will be its marked price (in ₹)?

If $\frac{cot \theta +\cos \theta }{cot \theta -\cos \theta }$ = $\frac{k+1}{1-k}$, k ≠ 1, then k is equal to:

Study the given bar graph and answer the question that follows.

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What is the ratio of the boys taken together in colleges A, B and C to the girls taken together in all 5 colleges?

40 persons take 6 days to complete a certain task, working 10 hours a day. How manyhours a day will be sufficient for 30 persons to complete the same task in 10 days?

If $\sqrt{13}$ sin θ = 2, then the value of $\frac{3 \tan \theta +\sqrt{13} \sin \theta }{\sqrt{13} \cos \theta -3 \tan \theta }$ is:

If cos² θ - sin² θ - 3 cos θ + 2 = 0, 0° < θ < 90°, then what will be the value of sec θ - cos θ?

If x + 2y = 19 and x³ + 8y3 = 361, then xy is equal to:

The perimeter of a right-angled triangle whose sides that make right angles are 15 cm and 20 cm is:

The compound interest on a certain sum of money for 3 years, compounded annually, at a rate of interest of 10% per annum is ₹1,324. The sum is:

Study the given pie charts and answer the question that follows.
The pie charts represent the distribution of candidates who were enrolled for Bank Clerical Examination Fig (i) and the candidates(out of those enrolled) who passed the examination Fig(ii) in five different institutes P, Q, R, S and T.

(I) Total number of candidates enrolled in five different institutes = 5500

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(I) Total number of candidates who passed the examination from five institutes = 3300

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The percentage of the candidates who passed to the number of candidates enrolled for institutes P and T together is:

Study the given bar graph and answer the question that follows.

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In which year was the percentage increase in production as compared to the previous year, the maximum?

X sells an article to Y at 12%loss. Y sells it to Z at 9% profit. If Z pays ₹21,582 forit, then at whatprice (in ₹) was the article purchased by X?

If (3x + 2y)³ + (3x - 2y)³ = 3kx(3x² + 4y²), then the value of k will be:

The value of 42 ÷ 10 - $\left(\frac{7}{4}\times \frac{1}{3}\right)$ of $\frac{6}{5}$ + $\frac{16}{3}$ × $\frac{9}{10}$ - $\left(\frac{1}{6}÷\frac{1}{36}\right)$ is:

A solid cube having volume 46656 cm is cut into 27 cubes of equal volume.Thesurface area (in cm²) of the smaller cubes is:

If 27x³ - 64y³ = (Ax + By)(Cx² + Dy² - Exy), then value of (A - B + C - D + E) will be:

A circle touches the side BC of △ABC at P and also touches AB and AC produced at Q and R, respectively. If the perimeter of △ABC = 14.1 cm, then the length (in cm) of AQ will be:

Study the given graph and answer the question that follows.

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For which of the following years was the increase in the production of sugar as compared to that in its preceding year between 8% and 10% ?

In a proportion, the product of the first and fourth terms is 70 and that of the second and third terms is 3.5 y. The value of y is:

Two circles touch each other externally. The distance betweentheir centres is 14 cm.If the radiusof onecircle is 8 cm. then the radius ofthe othercircle is:

The average of 42 numbers is 37. The averageofthe first 26 numbers is 32, and the averageofthe last 17 numbers is 44. The 26th number is:

Dimple is travelling at a speed of 90 km per hour on a highway, while Sachin is travelling at a speed of 108 km per hour. Whatis the difference in their speeds, in metres per second?

In △ABC, D and E are the points on the sides Ab and AC, respectively such that ∠AED = ∠ABC. If AE = 6 cm, BD = 2 cm, DE = 3 cm and BC = 5 cm, then (AB + BC) is equal to:

Gaurav earns ₹800 per day. After some weeks, he earns 2960 per day. Whatis the percentage increase in his daily earnings?