# Staff Selection Commission

Combined Graduate Level Examination

# Quantitative Aptitude Question Paper

Q1. Sum of the CP’s of two cars is Rs. 1,00,000. 1st car is sold at a profit
of 20% and 2nd car is sold at a loss of 20%. However, their SPs are same. What
is the CP of 1st car?

(a) Rs. 40,000

(b) Rs. 60,000

(c) Rs. 52,400

(d) Rs. 47,600

Q2. The cost of production of a cordless phone set in 2006 is Rs. 900, divided
between material, labour and overheads in the ratio 3 : 4 : 2. If the cordless
phone set is marked at a price that gives a 20% profit on the component of price
accounted for by labour, what is the marked price of the set?

(a) Rs. 980

(b) Rs. 1080

(c) Rs. 960

(d) Rs. 1020

Q3. A firm dealing in furniture allows 4% discount on the marked price of each
item. What price must be marked on a dining table that cost Rs. 400 to assemble,
so as to make a profit of 20%?

(a) Rs. 475

(b) Rs. 480

(c) Rs. 500

(d) Rs. 520

Q4. A reduction of 10% in the price of sugar enables a housewife to buy 6.2 kg
more for Rs. 279. Find the reduced price per kilogram

(a) Rs. 5

(b) Rs. 4.5

(c) Rs. 4.05

(d) None of these

Q12. A and B together can do a piece of work in 12 days which B and C together
can do in 16 days. After A has been working at it for 5 days and B for 7 days, C
finishes it in 13 days. In how many days B could finish the work?

(a) 48 days

(b) 24 days

(c) 16 days

(d) 12 days

Q13. A can write 75 pages in 25 hrs. A and B together can write 135 pages in 27
hrs. In what time can B write 48 pages?

(a) 17 hrs.

(b) 19 hrs.

(c) 24 hrs.

(d) 23 hrs.

Q14. O and C are respectively the orthocenter and Circumcircle of an
acute-angled triangle PQR. The points P and O are joined and produced to meet
the side QR at S. If ∠PQS = 60° and ∠QCR = 130°, then ∠RPS =

(a) 30°

(b) 35°

(c) 100°

(d) 60°

Q15. AB is a chord to a circle and PAT is the tangent to the circle at A. If
∠BAT = 75° and ∠BAC = 45°. C being a point on the circle on other side of T,
then ∠ABC is equal to:

(a) 40°

(b) 45°

(c) 60°

(d) 70°

Q16. A boat covers 24 km upstream and 36 km downstream in 6 hours, while it
covers 36 km upstream and 24 km down–stream in 6.5 hours. The speed of the
current is

(a) 1 km/hr

(b) 2 km/hr

(c) 1.5 km/hr

(d) 2.5 km/hr

Q17. Fresh fruit contains 68% water and dry fruit contains 20% water. How much
dry fruit can be obtained from 100 kgs of fresh fruits?

(a) 32 kgs.

(b) 40 kgs.

(c) 52 kgs.

(d) 80 kgs.

Q18. The average of 8 numbers is 20. The average of first two numbers is 15.5
and the average of next three number is 21⅓. If the 6th number is 4 and 7 less
by the 7th and the 8th number respectively then what will be the 7th number?

(a) 25

(b) 22

(c) 35

(d) 30

Q19. A man sells a plot of land at 6% profit. If he had sold it at 10% profit,
he would have received Rs. 200 more. What is the selling price of the land?

(a) Rs. 5000

(b) Rs. 5300

(c) Rs. 4800

(d) Rs. 5500**Directions (21-25): The following questions are based on the pie-chart given
below. Study the pie-chart and answer the questions.**

Q22. If the ‘Printing-Cost’ is Rs. 17500, the royalty paid is

(a) Rs. 8750

(b) Rs. 7500

(c) Rs. 3150

(d) Rs. 6300

Q23. If the “miscellaneous expenses” are Rs.6000. How much more are “binding and cutting charges” than “Royalty”?

(a) Rs. 6000

(b) Rs. 5500

(c) Rs. 4500

(d) Rs. 10500

Q24. The central angle corresponding to the sector on “Printing Cost” is more than that of “Advertisement Charges” by:

(a) 72°

(b) 61.2°

(c) 60°

(d) 54.8°

Q25. The “Paper Cost” is approximately what percent of “Printing Cost”?

(a) 20.3%

(b) 28.6%

(c) 30%

(d) 32.5%