### SSC Quant Mix Quiz

**Q1. ****I is the in center of ΔABC, ****∠****ABC=60° and ****∠****ACB = 50° Then ****∠****BIC is **

(a) 55°

(b) 125°

(c) 70°

(d) 65°

**Q2. **** An isosceles triangle ABC is right angled at B. D is a point inside the triangle ABC. P and Q are the feet of the perpendiculars drawn from D on the side AB and AC respectively of Δ ABC. If AP = a cm ,AQ = b cm and ****∠**** BAD = 15 ° , sin75° = **

(a) 2b /√3a

(b) a/2b

(c) √3a/2b

(d) 2a/√3b

**Q3. ****Four bells ring at intervals of 4, 6, 8 and 14 seconds, They start ringing simultaneously at 12.00 O” clock. At what time will they again ring simultaneously: **

(a) 12 hrs. 2 min. 48 sec

(b) 12 hrs. 3 min.

(c) 12 hrs. 3 min. 20 sec

(d) 12 hrs. 3 min, 44 sec

**Q4. In 50 gm alloy of gold and silver. The gold is 80% by weight. How much gold should mixed to this alloy so than the weight of gold would become 95% **

(a) 200 gm

(b) 150 gm

(c) 50gm

(d) 100gm

**Q5. ****Rakesh Yadav Reader publication makes a profit of 9,00,000, 20% of which is paid as taxes. If the rest is divided among the partners P, Q and R in the ratio 1****🙁****3/2****)****: 2, then the shares of P, Q and R are respectively. **

(a) Rs. 2,40,000; Rs. 3,20,000; Rs. 1,60,000

(b) Rs.3,20,000; Rs.2,40,000; Rs.1,60,000

(c) Rs.1,60,000; Rs.23,20,000; Rs.22,40,000

(d) Rs.1,60,000; Rs.2,40,000; Rs.3, 20,000

**Q6. ****Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 Minutes. In how much time the third pipe alone can empty the cistern? **

(a) 110 minutes

(b) 100 minutes

(c) 120 minutes

(d) 90 minutes

**Q7. **

** **

** **

(a) cosθ≤ cos^{2}θ

(b) cosθ< cos^{2}θ

(c) cosθ> cos^{2}θ

(d) cosθ≥ cos^{2}θ

**Q8. **

** **

** **

(a) 1/2

(b) 1

(c) 3/2

(d) 1/√2

**Q9. **

** **

(a) 0.02

(b) 0.004

(c) 0.4

(d) 0.04

**Q10. **

** **

(a) 1

(b) 0.1

(c) 0.01

(d) 0.001

**Q11. ****A car goes 10 meters in a second. Find its speed in km/hour, **

(a) 40

(b) 32

(c) 48

(d) 36

**Q12. ****Buses start from a bus terminal with a speed of 20 km/hr. at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes? **

(a) 3 km/hr

(b) 4 km/hr

(c) 5 km/hr

(d) 7 km/hr

**Q13. **

** **

(a) 4 : 9 : 45

(b) 16 : 36 : 45

(c) 16 : 36 : 20

(d) 4 : 36 : 40

**Q14. **

** **

(a) 3

(b) -1

(c) 2

(d) 5

**Q15. ****In what time will the simple interest be 2/5 of the principal at 8% per annum? **

(a) 8 years

(b) 7 years

(c) 5 years

(d) 6 years

**1.** b **2.** c **3.** a **4.** b **5.** d **6.** b **7.** c **8.** b **9.** d **10.** c **11.** d **12.** c **13.** b **14.** a **15.** c