## Quant Quiz for Competitive Exams (Banking/ SSC/ RAILWAYS/ Insurance)

This quiz contains 15 questions from arithmetic topics and are important for competitive exams like Banking, RAILWAYS, SSC and insurance exams. Try to attempt this quiz in a time bound manner not taking more than 10-12 minutes in solving it.** **

**Q1. **The sum of the digits of a two-digit number is 81 less than the number. What is the difference between the digits of the number?

**(a)** 6

**(b)** 3

**(c)** 1

**(d)** Cannot be determined

**Q2. **Two numbers are such that their difference, their sum and their product are in the ratio of 1:7:24. The product of the numbers is:

**(a)** 24

**(b) **36

**(c)** 48

**(d)** 60

**Q3.** The traffic lights at three different signal points change after every 45 seconds, 75 seconds and 90 seconds respectively. If all change simultaneously at 7: 20: 15 hours, then they will change again simultaneously at

**(a)** 7: 28: 00 hours

**(b)** 7: 27: 45 hours

**(c)** 7: 27: 30 hours

**(d)** 7: 27: 50 hours

**Q4.** Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

**(a)** 4

**(b)** 10

**(c)** 15

**(d)** 16

**Q5.** Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?

**(a)** 2 minutes 20 seconds

**(b)** 2 minutes 24 seconds

**(c)** 3 minutes 36 seconds

**(d)** 4 minutes 12 seconds

**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

**Q11.** Raman, Rohit and Raja are partners and invest in a business. Raman invests 1/4th of total and Rohit invest 1/3th of the total. What is the ratio of profit of Raman, Rohit and Raja respectively?

**(a)** 4: 3: 1

**(b)** 3: 4: 4

**(c)** 3: 4: 5

**(d)** 4: 3: 5

**Q12.**What must be added to each term of the ratio 9 : 5 so as to make it equal to 4 : 3?

**(a)** 7

**(b)** 15

**(c)** 6

**(d)** Can’t be determined

**Q13.** A rectangular courtyard 3.78 m long and 5.25 m wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose?

**(a)** 14 cm

**(b)** 21 cm

**(c)** 42 cm

**(d)** None of these

**Q14.** A bag contains Rs. 4100 in the form of Rs. 5, Rs. 2 and Rs. 1 coins. The numbers of coins are in ratio 4: 6: 9. So, find the number of 1 Rs. coins.

**(a)** 400

**(b)** 500

**(c)** 900

**(d)** 700

**Q15.** The ratio of cooper and Tin in a 63kg alloy is 4: 3. Some amount of copper is extracted from the alloy and the ratio becomes 10: 9. How much copper is extracted?

**(a)** 6 kg

**(b)** 8 kg

**(c)** 12 kg

**(d)** 10 kg

**SOLUTIONS:-**

**Sol 1.** (d) 10x + y – (x + y) = 81

9x = 81, So x = 9

Required numbers are 90, 91, 92, 93… 99.

**Sol 2.** (c) Let numbers be x and y.

ATQ, x + y = 7a, x – y = a, and xy = 24a

On solving, x = 4a, y = 3a

Hence 24a = 4a*3a. So, a = 2

Required product = 24*2 = 48

**Sol 3.** (b) LCM of 45, 75 and 90 = 450

So traffic lights will change again at 7min 30sec = 7:27:45 hrs.

**Sol 4.** (d) L.C.M. of 2, 4, 6, 8, 10, 12 = 120 sec.

Number of times it toll together in 30 minutes = 1800/120 + 1 = 16 times.

**Sol 5.** (b) L.C.M. of 24, 36, 48 = 144.

So, the three girls will meet at one point in 144 seconds i.e., 2 min 24 sec.

**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 = ?

So A’s age = ?−3

?−5/?+1=3/4

?=23

A’s age = 23−3=20 ?????

**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.** (c) Let total units be 12

Hence units invested by Raman: Rohit: Raja -= 3:4:5

**Sol 12.** (d) Let 9: 5 = 9x and 5y

ATQ, 9x + y / 5x + y = 4/3

27x + 3y = 20x + 4y

7x = y, Can’t be determined as cannot be solved further.

**Sol 13.** (b) Largest size of the tile = H.C.F. of 378 cm and 525 cm = 21 cm.

**Sol 14.** (c) Rs5: Rs 2: Re 1

Ratio of no. of coins = 4: 6: 9

Total amount= Rs 20: Rs 12: Rs 9

Then ATQ, 41R = 4100, R = 100

Hence, no. of coins of Re 1 = 9R = 900

**Sol 15.** (a) Initial Copper: Tin = 4:3

Final Copper: Tin = 10:9

Since only Copper is extracted, hence Tin remains same, therefore, (4: 3)*3 = 10: 9

Diff. between ration of copper = 2R,

ATQ, 21R = 63, R = 3

So, 2R = 6 kg copper extracted

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