Geometry | Quant Questions for SSC CGL Exam 2017

Dear Students, SSC has released the notification for CGL 2017. This time again the competition is going to be very stiff. Questions from Quant are asked in Tier-1 and Tier-II as well. Hence, you need to focus on this subject more. The only trick to master Quant is "practice'. So, Practice daily. We are providing topic-wise quant quizzes, solve, learn, succeed.

Q1. If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:
(a) Equal to 1/4
(b) Equal to 1/2
(c) Equal to 1
(d) Greater than 1

Q2. If ABCD is a rhombus, then:
(a) AC²+BD²=4AB²
(b) AC²+BD²=AB²
(c) AC²+BD²=2AB²
(d) 2(AC²+BD² )=3AB²

Q3. The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. if the length of one of its diagonal be 26 cm, the length of the other diagonal will be:
(a) 5 cm
(b) 10 cm
(c) 6.5 cm
(d) 26 cm

Q4. The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeter of the rhombus is :
(a) 80 cm
(b) 72 cm
(c) 68 cm
(d) 64 cm

Q5. In ∆ ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is:
(a) 2 : 1
(b) 1 : 2
(c) 4 : 5
(d) 3 : 5

Q6. I is the incentre of ∆ABC, ∠ABC = 60° and ∠ACB = 50°. Then ∠BIC is
(a) 55°
(b) 125°
(c) 70°
(d) 65°

Q7. Two chords AE and BC intersect each other at D at right angles, if AB = 5 cm, BD = 4 cm, CD = 9 cm find AE.
(a) 15 cm
(b) 6 cm
(c) 9 cm
(d) 10 cm

Q8. Water flows in a tank 150 m × 100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm, at the speed of 15 km/h. In what time will the water be 3 m deep?
(a) 100 hours
(b 120 hours
(c) 140 hours
(d) 150 hours

Q9. The length of all median of ∆ABC are 18 cm, 24 cm, & 30 cm. Then find the area of ∆ABC.
(a) 288 cm²
(b) 384 cm²
(c) 278 cm²
(d) 286 cm²

Q10. In ∆ABC, AB = 16 cm, BC = 36 cm and AC = 28 cm, then find the length of median AD.

(a) 12
(b) 13
(c) 24
(d) 14

Q11. ABCD is a trapezium in which AB || DC and AB = 2 CD. The diagonals AC and BD meet at O. The ratio of area of triangles AOB and COD is
(a) 1 : 1
(b) 1∶√2
(c) 4 : 1
(d) 1 : 4

Q12. In ∆ABC, D and E are the points of sides AB and BC respectively such that DE || AC and AD : BD =3 : 2. The ratio of area of trapezium ACED to that of ∆BED is
(a) 4 : 15
(b) 15 : 4
(c) 4 : 21
(d) 21 : 4

Q13. At each corner of a triangular field of sides 26 cm, 28 m and 30 m, a cow is tethered by a rope of length 7 m, the area (in m) ungrazed by the cows is
(a) 336
(b) 259
(c) 154
(d) 77

Q14. A godown is 15 m long and 12 m broad. The sum of the area of the floor and the celling is equal to the sum of areas of the four walls. The volume (in m³) of the godown is :
(a) 900
(b) 1200
(c) 1800
(d) 720

Q15. If the altitude of a triangle is increased by 10% while its area remains same, its corresponding base will have to be decreased by
(a) 10%
(b) 9%
(c) 9 (1/11)%
(d) 11 (1/9)%

Geometry | Quant Questions for SSC CGL Exam 2017(Solutions will be updated soon)

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