SSC CHSL 2021 12th August Shift 2 - QA

If the nine-digit number 259876p05 is completely divisible by 11. then what is the value of (p² + 5)?

If 5 tan A = 12, then what is the value of $\frac{13 \sin A+20 \tan A}{15 \tan A-13 \cos A}$, where A is an acute angle ?

The side OR of a triangle PQR is extended to a point S. If ∠PRS = 104° and ∠RQP = $\frac{3}{5}$∠QPR, then the value of ∠QPR is:

The value of 56 ÷ [12 + 9 ÷ 3 - {8 + (18 of 2 ÷ 9) - (40 ÷ 5 of 2)}] + $\frac{27+{\displaystyle \frac{2}{5}} \mathrm{of} 75}{5+{\displaystyle \frac{2}{3}}\times (58-37)}$ is:

O is the centre of a circle of radius 9 cm. M is a point outside the circle and MN is a tangent to the circle. What is the length (in cm) of OM if the length MN is 12 cm?

Study the following bar graph and answer the question given below.
The bar graph represents the total number of applications received for B.Sc. Mathematics by two different colleges A and B in 5 different years.

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In 2015, out of the total number of applications received by colleges A and B together, only 60% were accepted. What were the total number of applications accepted by colleges A and B together in 2015?

Study the given bar graphs and answer the question that follows.
The bar graphs represent the amount invested in raw materials (in ₹ crore) and the sale of the products, by a textile company in the years 2007— 2012. The X-axis represents the years. The Y-axis represents the amount invested in raw materials (in ₹ crore) in figure 1 and sale of products in figure 2, respectively.

                                                Figure 1

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                                                Figure 2

In 2011, the sale of products had increased by certain percentage with respect to the previous year. In 2012, by what percent should the sale of products increase from its present value so that it shows the same percent increase as had been shown in 2011?

If sin² x = 3 cos² x and 0° ≤ x ≤ 90°, then what is the value of $\frac{x}{2}$?

Study the given graph and answer the question that follows.

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The average number of computers of type B sold in January, February and June exceeds by 20 the number of computers of type A sold in:

A man invested ₹2,400 at 5% and ₹5,400 at 9% simple interest. What amount(in ₹) will he get from his investments after 6 years?

If a = $\frac{\sqrt{5}+2}{\sqrt{5}-2}$ and b = $\frac{\sqrt{5}-2}{\sqrt{5}+2},$ then the value of 2a² + 2b² - 5ab is equal to:

The value of a³ + b³ + c³ - 3abc, when a = 125, b = 127 and c = 129, is:

The marked price of a table is ₹3,000, which is 25% above the cost price. It is sold at a discount of 20% on the marked price. What is the profit or loss per cent?

△ABC is drawn in a circle such that AC = BC and ∠BAC = 65°. From points B and C two tangents are drawn which intersect at point P. What is the measure of ∠BPC?

If cosec A = 10, then what is the value of 20 sin A + 9$\sqrt{11}$sec A?

The daily wages of P, Q and are in the proportion 5 : 7 : 8. If Q earns ₹560 per day, then what are the daily wages(in ₹) of R and P, respectively?

The area of an equilateral triangle is 10.24$\sqrt{3}$ m². Its perimeter (in m) is:

The square of the diagonal of a cube is 2175 cm². What is the total surface area (in cm²) of the cube?

A shopkeeper bought 95 dozen oranges at ₹4.50 each. 7 dozen oranges were rotten and so were discarded. He sold the remaining oranges at ₹78 per dozen. What is his profit or loss per cent (to the nearest integer)?

The average age of 7 members of a family is 35 years. If the youngest members are twins and they are 15 years old, then what was the average age (in years) of the family members at the time of the birth of the twins?

If (7x - 10y) = 8 and xy = 5, then what is the value of 49x² + 100y²?

A and B can complete a piece of work in 27 days and 54 days, respectively. They completed the work in 9 days with the help of C. How many days will C take to complete eight-ninths of the work alone?

A's salary is 15% less than B's salary. B's salary is 30% less than C's salary. By how much percent approximately, is C's salary more than A's salary?

The line graph shows the production (in tonnes) and the sales (in tonnes) of a company.
What is the ratio of the production of the company in 2015 and 2016 taken together to the sales in 2017 and 2019 taken together?

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A train, 500 m long, passes a railway platform 400 m long, in one minute with uniform speed. What is the time (in seconds) taken by the train to pass a man riding a motorbike,travelling opposite to the direction of the train, at a speed of 18 km/h?