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

This **Online Quant Quiz for IBPS PO &SBI PO – Clerk c**ontains 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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