# Online Quant Quiz for IBPS PO & SBI PO – Clerk : Part- 29

### Online Quant Quiz for IBPS PO & SBI PO – Clerk : Part- 29

This Online Quant Quiz for IBPS PO &SBI PO – Clerk contains 10 questions on Number System and 5 questions on Ratio and Proportion and both the topics are important for competitive exams like RAILWAYS, SSC, UPSC, IB, and DSSSB. Try to attempt this quiz in a time-bound manner not taking more than 5-7 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. The greatest number which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is

(a) 1120

(b) 4714

(c) 5200

(d) 5600

Q7. The H.C.F. and L.C.M. of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, the two numbers are

(a) 273, 357

(b) 273, 359

(c) 273, 361

(d) 273, 363

Q8. The ratio of two numbers is 13 : 15 and their L.C.M. is 39780. The numbers are

(a) 884, 1020

(b) 884, 1040

(c) 670, 1340

(d) 2652, 3060

Q9. The H.C.F. and L.C.M. of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other is

(a) 36

(b) 48

(c) 72

(d) 96

Q10. Three persons walking around a circular track complete their respective single revolutions in 151/6 seconds, 161/4 seconds and 182/3 seconds respectively. They will be again together at the common starting point after

(a) 1 hr and 10 sec

(b) 2 hr and 20 sec

(c) 2 hr and 30 sec

(d) 1 hr and 40 sec

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. (b) LCM of 20, 28, 32 and 35 = 1120

Required no. = 5834-1120 = 4714.

Sol 7. (a)  Product of numbers = 21 × 4641 = 97461

Let the numbers be 21a & 21b.

Then, 21a × 21b = 97461, So, ab = 221.

Now, co-primes with product 221 are (1, 221) and (13, 17).

Hence the suitable pair is (273, 357).

Sol 8. (d) Let the numbers be 13x and 15x.

Then, their L.C.M. = 195x.

So, 195x = 39780 or x = 204.

Required numbers are 2652 and 3060.

Sol 9. (b) Other number = (12 × 336/84) = 48

Sol 10. (d) L.C.M. of 91/6, 65/4 and 56/ 3 =3640

So, 3 persons will again meet after 3640 sec = 1 hr 40 sec.

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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March 20, 2019