Important Quant Miscellaneous Questions

Important Quant Miscellaneous Questions for SBI PO/Clerk 2018

Quant Miscellaneous Questions for SBI PO Prelims 2018. Welcome to the www.letsstudytogether.co online Quant section. If you are preparing for SBI Clerk, SBI PO, and IBPS PO exams 2017-18, you will come across a section on Quantitative Aptitude Section. Here we are providing you “Quant Miscellaneous Questions” for SBI PO Prelims  based on the latest pattern for your daily practice.

This “Quant Miscellaneous Questions for SBI PO Prelims 2018” is also important for other banking exams such as SBI PO, IBPS PO, IBPS Clerk, SBI Clerk, IBPS  IBPS SO, SBI SO and other competitive exams

Quant Miscellaneous Questions for SBI PO Prelims: Set-23

1.A starts a company and after 3 months B also joins the company. The initial investment of A and B is in the ratio of 3:2, respectively. A and B receives Rs. (x + 600) and Rs. (x – 360), respectively as profit after completion of one year of the company. Find the profit Share of B.

A Rs. 960
B Rs. 1320
C Rs. 1920
D Rs. 2460
E None of these
Show Correct Answers

A. Rs. 960

The ratio of profit share of A and B is
A: B = 3 × 12: 2 × (12 – 3) = 2: 1

According to question,

(x + 600)/(x – 360) = 2: 1
x + 600 = 2x – 720
3x – 2x = 600 + 720
x = 1320

Therefore, profit share of B = 1320 – 360 = Rs. 960

2.On the occasion of Raksha-bandhan, there are (x + 10) boys and (x + 6) girls in a community hall, each girl tied the rakhi on the wrist of every boy, and every boy gave a chocolate to each girl as return gift, if total number of rakhi and chocolates used was 1344, then find the value of x?

A 12
B 15
C 18
D 24
E 28
Show Correct Answers

C. 18

Number of rakhi used = (x + 10)(x + 6)

Number of chocolates used= (x + 6)(x + 10)

According to question,

(x + 10)(x + 6) + (x + 6)(x + 10) = 1344

x2+ 16x + 60 + x2 + 16x + 60 = 1344

x2+ 16x + 60 = 672

x2+ 16x – 612 = 0

x2+ 34x – 18x –  612 = 0

x(x+ 34) – 18(x + 34) = 0

(x + 34)(x – 18) = 0

x = -34 or x = 18

Hence, option c.

3.Two numbers are in the ratio of 8:x, respectively. If 14 is added to the first number and 6 is subtracted from second number then ratio becomes 5:3, respectively. Find the value of x, if the difference between two numbers is 24. (Note: 8 ? x)

A 3
B 4
C 5
D 6
E 7
Show Correct Answers

D. 6

Let, the two numbers be 8k and kx.

According to question,

8k – kx = 24

k(8 – x) = 24… (i)

And, (8k + 14): (kx – 6) = 5: 3

24k + 42 = 5kx – 30

k(24 – 5x) = -72

k(5x – 24) = 72

Using, equation (i), we get,

(24/(8 – x)) × (5x – 24) = 72

120x – 576 = 576 – 72x

120x + 72x = 1152

192x = 1152

x = 1152 ÷ 192 = 6

Hence, option d.

4.The average salary of all the employees in a bank is Rs. 800 per day. The average salary of clerks and managers is Rs.500 per day and Rs. 1250 per day, respectively. Find the number of clerks if there are total 20 employees in the branch. (Employees = Clerks + Managers)

A 4
B 8
C 12
D 16
E None of these
Show Correct Answers

C. 12

Let, the number of clerk be ‘x’

So, number of managers be (20 – x).

According to question,

(20 – x) × 1250 + x × 500 = 800 × 20

25000 – 1250x + 500x = 16000

750x = 25000 – 16000

750x = 9000

x = 9000 ÷ 750

x = 12

Hence, option c.

5.The profit earned on selling an article for Rs. (x + 200) is twice the loss incurred on selling the same article for Rs. (x – 250). Find the value of ‘x’, if to earn a profit of 20%, it must be sell for Rs. 1140.

A 750
B 850
C 950
D 1050
E 1150
Show Correct Answers

D. 1050

Cost price of article = 1140 ÷ 1.2 = Rs. 950

According to question,

(x + 200) – 950 = 2(950 – (x – 250))

x – 750 = 2(950 – x + 250)

x = 2400 – 2x + 750

3x = 3150

x = 3150 ÷ 3

x = 1050

6.The sum of perimeter of a rectangle(R) and a square(S) is 210 cm. The length and breadth of rectangle(R) is 40% more and 20% less than the side of square(S), what is the length of diagonal of rectangle(R)?

A 40√5 cm
B 5√65 cm
C 4√35 cm
D 25√2 cm
E 16√30 cm

Show Correct Answers

B. 5√65 cm

Let, the side of square be ‘s’ cm.

So, length of rectangle = 1.4s cm

And, breadth of rectangle = 0.8s cm

According to question,

2(1.4s + 0.8s) + 4s = 210

4.4s+ 4s = 210

8.4s= 210

s = 210 ÷ 8.4

s = 25 cm

So, length of rectangle = 1.4 × 25 = 35 cm

And breadth of rectangle = 0.8 × 25 = 20 cm

So, diagonal of rectangle = √(35)2 + (20)2 = √1625 = 5√65 cm

7.A bag contains 36 balls of 3 different colours Magenta, Khaki, and Violet. The probability of drawing a Khaki ball is 1/4, and the ratio of number of Magenta balls to the number of Violet ball is 5:4. If 2 balls are drawn from the bag randomly then what will be the probability that two balls are of same colour?

A 23/70
B 1/12
C 11/105
D 2/35
E None of these
Show Correct Answers

A. 23/70

Probability of drawing a Khaki ball = 1/4,

So, number of Khaki balls = (1/4) × 36 = 9

Therefore, number of balls of Magenta and Violet colours = 36 – 9 = 27

So, number of Magenta balls = (5/9) × 27 = 15

And, number of Violet balls = 27 – 15 = 12

Therefore, required probability = (9C2 + 15C2 + 12C2)/36C2= (9 × 4 + 15 × 7 + 6 × 11)/(18 × 35) = 23/70

8.Sita and Gita together can complete a work in 18 days. Sita starts the work and completes one-third of work in ‘x’ days and leaves the work. The remaining work is done by Gita in ‘x’ days. Find the time taken by Rita to complete the same work who is 20% more efficient than Sita.

A 18 days
B 24 days
C 36 days
D 45 days
E 54 days
Show Correct Answers

D. 45 days

Time taken by Sita to complete the work = 3x days

Time taken by Gita to complete the work = (3/2)x days

According to question,

1/3x + 2/3x = 1/18

3/3x = 1/18

x = 18

So, time taken by Sita to complete the work = 54 days

Therefore, time taken by Rita to complete the work = 54/1.2 = 45 days.

9.Ram and Shyam invested in a scheme offering simple interest for same period of time. If interest obtained by Ram and Shyam at rate of 8% per annum and 12% per annum, respectively is Rs. 2232 and Rs. 2700, respectively. Find the amount invested by Shyam if amount invested by Ram is Rs. 1800 more than amount invested by Shyam.

A Rs. 7500
B Rs. 8000
C Rs. 8500
D Rs. 9000
E Rs. 9500
Show Correct Answers

A. Rs. 7500

Let, amount invested by Shyam is Rs. S, and time of investment is ‘t’ years.

So, amount invested by Ram is Rs. (S + 1800).

According to question,

S × 12% × t = 2700

Also, (S + 1800) × 8% × t = 2232

From both equations, we get,

2700/12S = 2232/8(S + 1800)

225/S = 279/(S + 1800)

225S + 405000 = 279S

54S = 405000

S = 405000/54

S = 7500

10.A train of length (x + 30) m can cross a man standing on the platform in 12 sec and, it can pass a man who is moving at speed of 18 Km/hour in same direction that of train, in 15 sec, find the length of train.

A 240 m
B 270 m
C 300 m
D 360 m
E None of these
Show Correct Answers

C. 300 m

 

Let, the speed of train is ‘s’ m/s

According to question,

(x + 30)/12 = s

And, (x + 30)/15 = s – 18 × (5/18)

Therefore, comparing both equations, we get,

(x + 30)/12 = (x + 30)/15 + 18 × (5/18)

(x + 30)/12 = (x + 30 + 75)/15

5x + 150 = 4x + 420

5x – 4x = 420 – 150

x = 270

Therefore, length of train = 270 + 30 = 300 m

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