## 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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