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# SSC CGL 2020| Exam Date: 13-08-2021, 2nd Shift|

Q1.  If 16x^2+y^2=48 and xy=2, x,y >0, then the value of (64x^3 + y^3) is:

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Q2. Cough syrup of different flavors - A, B and C (in lakh bottles) manufactured by a medicine company over a period of five years from 2010 to 2014 has been shown in the bar graph.

The ratio of the average production of all flavours in 2012 to the difference of the average production of flavor A in 2012, 2013 and 2014 and the average production of flavor C in 2012, 2013 and 2014 is:

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Q3.If   x-\frac{1}{x}= 5, x≠0, then what is the value of  \frac{x^6-5x^3-1}{x^6+7x^3-1}=?

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Q4. If x - y = 21 and \frac{1}{x}- \frac{1}{y}=\frac{11}{24}, then what is the value of x^3-y^3+x^2y^2 ?

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Q5. If length of a rectangle is increased to its three times and breath is decreased to its half, then the ratio of the area of given rectangle to the area of new rectangle is:

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Q6. If 2\cos^2\theta= 3\cos\theta ,0<θ<90, then the value of (\sec^2\theta - \tan^2\theta + \cos^2\theta) is

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Q7. In a circle with centre O, AD is a diameter and AC is a chord. Point B is on AC such that OB=7 cm and ∠OBA=60°. If ∠DOC=60°, then what is the length of BC (in cm)?

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Q8. A shopkeeper sold two articles for ₹10591 each. On one he gained 19% and on the other he lost 11% . What was his overall gain or loss percent (correct to one decimal place)?

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Q9. Surbhi sold an article for ₹176 after giving 12% discount on its marked price. Had she not given any discount; she would have earned a profit of 25% .What is the cost price (in ₹) of the article?

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Q10. In a class of 90 students 60% are girls and remaining are boys. Average marks of boys are 63 and that of girls are 70. What are the average marks of the whole class?

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Q11. \frac{2sin² 30°tan 60°-3 cos² 60° sec² 30° }{4 cot² 45°-sec² 60°+sin² 60°+cos² 90°} is:

\frac{\sqrt3-2}{3}
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Q12. Number of male and female members in different organizations A, B, C, D and E are given in the bar graph.

What is the ratio of average number of females in all the five organizations to the average number of males in all the five organizations"

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Q13. If a five digit number 247xy is divisible by 3, 7 and 11, then what is the value of (2y-8x)?

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Q14.   In tringle ABC , AB: AC=5:2, BC=9 cm. BA is produced to D and the bisector of the Angle CAD meets BC produced at E. What is the length (in cm) of CE?

Q15. Find the value of \frac{8sin 30° sin² 60°-4 sin 90°-sec² 45°}{ tan² 45°- cot² 30°}

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Q16.  In AABC, D and E are the points on sides AB and AC, respectively such that ∠ADE=∠B. If AD=7cm, BD=5cm and BC=9 cm. then DE (in cm) is equal to:

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Q17.    The histogram shows the weights of students of class X in a school.

Let x be the number of students whose weight is less than 50 kg and y be the number of the students whose weight is greater than or equal to 60 kg. What is the value of x:y?

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Q18.  ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If ∠BEC =138° and ∠ECD=35°, then what is the measure of ∠BAC?

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Q19. The rate of simple interest for first two years is 8% p.a., for the next 4 year, it is 10% p.a. and for the period beyond 6 years, it is 12% pa. If a person gets ₹18358.60 as simple interest after 9 years, then how much money (in ₹ ) did he?

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Q20.

The following pie charts represent the distribution of candidates who were enrolled for a competitive examination, and the candidates (out of those enrolled) who passed the exam from five different institutes P, Q,R,S and T.

What is the ratio of the total number of candidates enrolled in institutes Q, R and S together, to the member of candidates passed from the institutes Q, R and S together?

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Q21. The ratio of two numbers A and B is 5:8. If 5 is added to each of A and B. then the ratio of A and B becomes 2:3. The sum of A and B is:

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Q22. The value of 3÷18 of 3× 6 -22 × 6 ÷18 - 3 ÷ 2+10 - 3 ÷ 9 of 3 × 9 is:

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Q23. Eighteen persons working 8 hours a day can complete 3 units of work in 10 days. How many days are required by 25 persons to complete 5 units of work working 6 hours a day?

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Q24. A 240m long train overtakes a man walking at 6 km/h, in the same direction, in 9 seconds. How much time (in seconds) will it take to pass a 372 m long tunnel with the same speed?

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Q25. Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by:

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