# LATEST & FREE QUANT QUIZ FOR COMPETITIVE EXAM 2019 : PART – 40

## LATEST & FREE QUANT QUIZ FOR COMPETITIVE EXAM 2019

This  Free Quant Quiz contains 10 questions from arithmetic topics and 5 questions from DI and all the topics are important for competitive exams like SSC, Railway, Banking and insurance exams. Try to attempt this quiz in a time bound manner not taking more than 10-12 minutes in solving it.

Q1. If a commission 0f 10% is given on mark price of Truck the dealer gains 20% if the commission is increase to 15% the gain % is?

(a) 40/3

(b) 10

(c) 20

(d) 15

(e) None of these

Q2. The CP of two dozen mangoes is Rs 32, after selling 18 mangoes at 12 Rs per dozen, the shopkeeper reduced the rate as Rs 4 per dozen. Then find the loss percentage?

(a) 15

(b) 20

(c) 25

(d) 37.5

(e) None of these

Q3. A can complete a task in 15 days B is 50% more efficient than A. Both A and B started working together on the task and after few days B left task and A finished the remaining 13 of the given work. For how many days A and B worked together.

(a) 3

(b) 5

(c) 4

(d) 6

(e) 2

Q4. A boat can travel 9.6 km downstream in 36 min. If speed of the water current is 10% of the speed of the boat in downstream, how much time will boat take to travel 19.2 km upstream?

(a) 2 hours

(b) 3 hours

(c) 1.25 hours

(d) 1.5 hours

(e) 1 hour

Q5. A started a business with a initial investment of Rs. 1200. ‘X’ month after the start of business, B joined A with on initial investment of Rs. 1500. If total profit was 1950 at the end of year and B’s share of profit was 750. Find ‘X’.

(a) 5 month

(b) 6 month

(c) 7 month

(d) 8 month

(e) 9 month

Q6. Ratio between curved surface area and total surface area of a circular cylinder is 3: 5. If curved surface area is 1848 cm3 then what is the height of cylinder?

(a) 28

(b) 14

(c) 17

(d) 21

(e) 7

Q7. Train A completely crosses train B which is 205 m long in 16 second. If they are travelling in opposite direction and sum of speed of both are 25 m/s. then find the difference (in meter) between lengths of both trains.

(a) 5

(b) 6

(c) 8

(d) 10

(e) 12

Q8. Present age of A is 3 years less than present age of B. Ratio of B’s age 5 year ago and A’s age 4 year hence is 3 : 4 then find present age (in years) of A.

(a) 20

(b) 17

(c) 23

(d) 26

(e) 29

Q9. Elena’s age after 15 years will be 5 times of her age 5 years back. What is the present age of Elena?

(a) 10

(b) 37

(c) 35

(d) 11

(e) None of these

Q10. A mess has provisions for 60 days. If after 15 days 500 men strengthen then and the food lasts 40 days longer, how many men are there in the mess?

(a) 3500

(b) 4000

(c) 6000

(d) 8000

(e) None of these

Directions (11 – 15): Study the following table carefully and answer the given questions: The number of various crimes, as supplied by national crime record, reported in different states in the year 2012-13.

 STATE STALKING ASSAULT THEFT MURDER ROBBERY BIHAR 352 496 265 132 332 MP 376 225 216 125 115 UP 85 125 53 56 57 HP 10545 3625 12224 354 10128 AP 445 225 252 173 154 DELHI 473 576 675 764 852 HARYANA 245 256 257 261 263 RAJASTHAN 273 276 278 252 353

Q11. The total number of various crimes in HP is

(a) 37803

(b) 38903

(c) 37903

(d) 36903

(e) 37003

Q12. Find the ratio of Stalking and Assault in UP to Theft and Robbery in Haryana.

(a) 28:51

(b) 21:52

(c) 52:21

(d) 14:55

(e) 55:14

Q13. Find the approximate average of Murder and Theft in all the eight states together.

(a) 1141

(b) 1132

(c) 1311

(d) 941

(e) 1021

Q14. The total number of Assaults and Murders together in Bihar is what per cent of the total number of crimes in that state?

(a) 29.82%

(b) 39.82%

(c) 25%

(d) 21.82%

(e) 25.5%

Q15. Find the difference between the number of various crimes committed in Bihar and that in Rajasthan.

(a) 105

(b) 98

(c) 145

(d) 139

(e) 104

Solutions:

Sol 1. (a) Let S.P. = Rs. 100

After commission, price = Rs. 90

CP = 100/120×90 = Rs. 75

Now, commission = 15%

Gain % = 85−75/75×100

=40/3%

Sol 2. (d) Total CP = Rs. 32

Total SP = 12 + 6 + 2 = Rs. 20

Loss % =12/32×100

= 37.5%

Sol 3. (c) A can complete work in 15 days.

And B will complete work in 10 days.

They together will complete whole work in =15×10/25=6 days

A and B together worked for = 6 × 2/3= 4 days

Sol 4. (d) Speed of downstream=9.6/36kmmin=16 km/hr

Speed of current = 1.6 km/hr

Let speed of man in still water = 𝑥

So, 𝑥 = 16 – 1.6 = 14.4 km/hr

Required time in upstream=19.2/14.4−1.6

=1.5 hours

Sol 5. (b) Ratio of profit of A and B = 1200:750 = 8:5

So, 1200×12/1500×𝑦 = 8/5

𝑦=6 months

x= 6 month

Sol 6. (d) 2πrh/2πr(r+h) = 3/5

2h = 3r

And 2πrh = 1848

2×22/7×2/3h×h=1848

h=21

Sol 7. (d) In 16 second distance covered by both A and B = 16 × 25 = 400 m

So length of A = 400 – 205 = 195

Required difference = 10 m

Sol 8. (a) Let B’s age = 𝑥

So A’s age = 𝑥−3

𝑥−5/𝑥+1=3/4

𝑥=23

A’s age = 23−3=20 𝑦𝑒𝑎𝑟𝑠

Sol 9. (a) Let Elena’s age = x

x + 15 = 5 (x – 5)

x = 10 years

Sol 10. (b) Let No. of soldiers = x

60 × x = 15x + 40 (x + 500)

60x =15x + 40x + 20000

5x = 20000

x = 4000

Sol 11. (d)

Sol 12. (b)

Sol 13. (e)

Sol 14. (b)

Sol 15. (c)

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May 6, 2019