# SCC Education

## Model questions for s.s.c exam QUANTITATIVE APTITUDE

Model questions for s.s.c exam
QUANTITATIVE APTITUDE

1. Of the three numbers, the sum of the first two is 55, sum of the second and third is 65 and sum of third with thrice of the first is 110. The third number is
(a) 25  (b) 30  (c) 35  (d) 28

2. The sum of the numerator and denominator of a positive fraction is 11. If 2 is added to both numerator and denominator, the fraction is increased by 1/24. The difference of numerator and denominator of the fraction is

(a) 5 (b) 3 (c) 1 (d) 9

3. The sum of a pair of positive integers is 336 and their H.C.F. is 21. The number of such possible pairs is

(a) 2 (b) 3 (c) 4 (d) 5

4. The difference between the exterior and interior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is

(a) 10 (b) 15 (c) 24 (d) 30

5. A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 3 cm and height of the cone is 4 cm. The total surface area of the toy is

(a) 75.43 sq. cm. (b) 103.71 sq. cm. (c) 85.35 sq. cm. (d) 120.71 sq. cm.

6 The four equal circles of radius 4 cm drawn on the four corners of a square touch each other externally. Then the area of the portion between the square and the four sectors is

(a) 9 (pi – 4) sq. cm. (a) 16 (pi – 4) sq. cm. (c) 9 (4 - pi ) sq. cm. (d) 16 (4 - pi ) sq.cm.

7. Two adjacent sides of a parallelogram are of lengths 15 cm and 18 cm. If the distance between two smaller sides is 12 cm, then the distance between two bigger sides is

(a) 8 cm (b) 10 cm (c) 12 cm (d) 15 cm

8. A can do a work in 21 days. B is 40% more efficient than A. The number of days required for B to finish the same work alone is

(a) 10 (b) 12 (c) 15 (d) 18

9. If A : B = 4:9 and A : C = 2 : 3, then (A + B) : (A + C) is

(a) 15: 13 (b) 10 : 13 (c) 13: 1 0 (d) 13: 15

10. The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is

(a) 165 runs (b) 170 runs (c) 172 runs (d) 174 runs

11. Five years ago, the average age of P and Q  was 25. The average age of P, Q and R today is 25. Age of R after 5 years will be

(a) 15 (b) 20 (c) 40 (d) 35

12. Some toffees are bought at the rate of 11 for Rs. 10 and the same number at the rate of 9 for Rs 10. If the whole lot is sold at one rupee per toffee, find the gain or loss %.

(a) Gain 2% (b) Loss 2% (c) Loss 1 % (d) Gain 1 %

13. A man rows 40 km upstream in 8 hours and a distances of 36 km downstream in 6 hours. Then speed of stream is

(a) 0.5 km/hr (b) 1.5 km/hr (c) 1 km/hr (d) 3 km/hr

14. In D ABC, O is the centroid and AD, BE, CF are three medians and the area of D AOE = 15 cm2, then area of quadrilateral BDOF is

(a) 20 cm2 (b) 30 cm2 (c) 40 cm2 (d) 25 cm2

15. The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends in the major segment of the circle is equal to

(a) 30° (b) 45° (c) 60° (d) 90°

Model questions for s.s.c exam      QUANTITATIVE APTITUDE   Model questions for s.s.c exam      QUANTITATIVE APTITUDE
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