Welcome to Online QuantTest in AffairsCloud.com. We are starting Cumulus Course for SBI Clerk 2019 Prelims Exam and we are creating sample questions in Quant section, this type of Question will be asked in SBI Clerk 2019!!!

Directions (5-6): Following questions contains two equations as 1 and 2. You have to solve both equations and determine the relationship between them and give answer as,

x^{2}+30x+225 = 0 y^{2}+4x –165 = 0

Correct

Answer: 5. x ≤ y Explanation:
x^{2}+30x+225 = 0
x^{2}+15x + 15x +225 = 0
x(x+15) +15(x+15) = 0
x = -15, -15

Directions (5-6): Following questions contains two equations as 1 and 2. You have to solve both equations and determine the relationship between them and give answer as,

3x^{2}-20x+25 = 0 5y^{2} – 32x + 35 = 0

Correct

Answer: 3. x = y or relationship can’t be determined. Explanation:
3x^{2}-20x+25 = 0
3x^{2}-15x-5x+25 = 0
3x(x-5) -5(x-5) = 0
x = 5/3, 5

In a team of 6 batsmen and 5 all-rounders, each batsman scored runs that are 250% of the total number of batsmen and each all-rounder scored runs that are 80% of the total number of all-rounders. How many runs were scored by all?

Correct

Answer: 2. 110
Explanation:
250% of the total number of batsmen = 250% of 6 = 15
And 80% of the total number of all-rounders = 80% of 5 = 4
Total runs scored by batsmen = 6*15 = 90
Total runs scored by all-rounders = 5*4 = 20
Total = 110 runs

Incorrect

Answer: 2. 110
Explanation:
250% of the total number of batsmen = 250% of 6 = 15
And 80% of the total number of all-rounders = 80% of 5 = 4
Total runs scored by batsmen = 6*15 = 90
Total runs scored by all-rounders = 5*4 = 20
Total = 110 runs

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

5 years ago, Satyam’s age was 4/5 times of that of Ravi. 6 years hence, Satyam’s age will be 5/6 times that of Ravi. What is the present age of Ravi?

Correct

Answer: 2. 60 years
Explanation:
5 years ago, let the age of Ravi was 5x, age of Satyam = 4/5*5x = 4x
6 years hence, there age will be 5x+11 and 4x+11
According to question,
(4x+11) = 5/6* (5x+11)
24x +66 = 25x +55
X = 11
Present age of Ravi = 5x + 5 = 5*11 +5 = 60 years

Incorrect

Answer: 2. 60 years
Explanation:
5 years ago, let the age of Ravi was 5x, age of Satyam = 4/5*5x = 4x
6 years hence, there age will be 5x+11 and 4x+11
According to question,
(4x+11) = 5/6* (5x+11)
24x +66 = 25x +55
X = 11
Present age of Ravi = 5x + 5 = 5*11 +5 = 60 years

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

A container contains 200 litres of wine. Some quantity of wine is taken out and 1/4th of that quantity of wine, water is added in the container. Now the ratio of wine to water in the container becomes 4:1. What is the quantity of water added in it?

Correct

Answer: 2) 25 litres
Explanation:
Let the quantity of wine taken out = 4x
Quantity of water added = 1/4 * 4x = x
According to question,
(200-4x)/x = 4/1
200 – 4x = 4x
8x = 200
X = 25 litres

Incorrect

Answer: 2) 25 litres
Explanation:
Let the quantity of wine taken out = 4x
Quantity of water added = 1/4 * 4x = x
According to question,
(200-4x)/x = 4/1
200 – 4x = 4x
8x = 200
X = 25 litres

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

A boat travels 36 km upstream in 8 hours and 24 km downstream in 3 hours then, what is the speed of boat in still water and speed of current respectively?

Correct

Answer: 4) 6.25km/h and 1.75km/h
Explanation:
Let speed of boat in still water is x and speed of current is y
Speed of boat in upstream (x- y) = 36/8 = 4.5km/h
Speed of boat in downstream( x + y ) = 24/3 = 8km/h
Speed of boat in still water = (Upstream speed + Downstream speed ) / 2 = (4.5 + 8 ) / 2 = 6.25km/h
Speed of current = (downstream speed – upstream speed) / 2 = (8 – 4.5)/2 = 1.75km/h

Incorrect

Answer: 4) 6.25km/h and 1.75km/h
Explanation:
Let speed of boat in still water is x and speed of current is y
Speed of boat in upstream (x- y) = 36/8 = 4.5km/h
Speed of boat in downstream( x + y ) = 24/3 = 8km/h
Speed of boat in still water = (Upstream speed + Downstream speed ) / 2 = (4.5 + 8 ) / 2 = 6.25km/h
Speed of current = (downstream speed – upstream speed) / 2 = (8 – 4.5)/2 = 1.75km/h

________________________

Click view Questions button to view Explanation

Note:- We are providing unique questions for you to practice well, have a try !!

Ask your doubt in comment section, AC Mod’s ll clear your doubts in caring way.

If you find any mistake, please tell us in the comment section.