 IBPS PO 2019 Prelims: Quant Test Day 12

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1. Quantitative Aptitude 0%
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2. Review
1. Question 1 of 10
1. Question
1 points
Category: Quantitative Aptitude

2x2-7x+6 = 0
3y2-8x+4 = 0

Correct

Answer: 3. x = y or relationship can’t be determined.
Explanation:
2x2-7x+6 = 0
2x2-4x-3x+6 = 0
2x(x-2)-3(x-2) =0
x =2, 3/2

3y2-8x+4 = 0
3y2-6y-2y+4 = 0
3y(y-2)-2(y-2) =0
y = 2, 2/3

Incorrect

Answer: 3. x = y or relationship can’t be determined.
Explanation:
2x2-7x+6 = 0
2x2-4x-3x+6 = 0
2x(x-2)-3(x-2) =0
x =2, 3/2

3y2-8x+4 = 0
3y2-6y-2y+4 = 0
3y(y-2)-2(y-2) =0
y = 2, 2/3

2. Question 2 of 10
2. Question
1 points
Category: Quantitative Aptitude

x2 -8x+15=0
y2+2y-15 = 0

Correct

Explanation:
x2 -8x+15=0
x2 -5x-3x+15=0
x(x-5)-3(x-5) = 0
x =3, 5

y2+2y-15 = 0
y2+5y-3y-15 = 0
y(y+5)-3(y+5)=0
y = -5, 3

Incorrect

Explanation:
x2 -8x+15=0
x2 -5x-3x+15=0
x(x-5)-3(x-5) = 0
x =3, 5

y2+2y-15 = 0
y2+5y-3y-15 = 0
y(y+5)-3(y+5)=0
y = -5, 3

3. Question 3 of 10
3. Question
1 points
Category: Quantitative Aptitude

Adolf usually gains the cost price of 10m of cloth for every 40m sale of cloth. What is the percentage gain?

Correct

Explanation

Profit = 10m
CP = 40 m
10/40 x 100 = 25%

Incorrect

Explanation

Profit = 10m
CP = 40 m
10/40 x 100 = 25%

4. Question 4 of 10
4. Question
1 points
Category: Quantitative Aptitude

A,B and C invest money in the ratio of 2:5:4 for the same period and the difference of C’s and A’s share of the profit is Rs.2400, what will be the profit amount to in 4 years if invested at the rate of 8% per annum SI?

Correct

Explanation

Sum of the part of the ratio = 2 + 5 +4 = 11
Profit = 2400 x 11/ (4-2) = Rs13200
Amount = 13200 + 13200 x 4 x 8/100 = 17424

Incorrect

Explanation

Sum of the part of the ratio = 2 + 5 +4 = 11
Profit = 2400 x 11/ (4-2) = Rs13200
Amount = 13200 + 13200 x 4 x 8/100 = 17424

5. Question 5 of 10
5. Question
1 points
Category: Quantitative Aptitude

Upstream speed of boat A and B are in the ratio 2:3 respectively and their downstream speeds in the ratio 6:7 respectively. What is the ratio of
their speeds in still water?

Correct

Explanation

Downstream speed of boat A = a+s
Downstream speed of boat B = b+s
Upstream speed of boat A = a-s
Upstream speed of boat B = b-s
Then
(a-s):(b-s) = 2:3
S= 3a-2b (1)
And (a+s): (b+s) = 6:7
S = 6b -7a (2)
From 1 and 2
A:B =4:5

Incorrect

Explanation

Downstream speed of boat A = a+s
Downstream speed of boat B = b+s
Upstream speed of boat A = a-s
Upstream speed of boat B = b-s
Then
(a-s):(b-s) = 2:3
S= 3a-2b (1)
And (a+s): (b+s) = 6:7
S = 6b -7a (2)
From 1 and 2
A:B =4:5

6. Question 6 of 10
6. Question
1 points
Category: Quantitative Aptitude

Q (6-10) The following line graph shows the runs scored by two Indian batsmen Rohit and Shikhar in different years. Total runs scored by Shikhar in years 2016, 2017 and 2018 together are how much percent more than the total runs scored by Rohit in years 2014, 2015 and 2016 together?

Correct

Explanation-
Total runs scored by Shikhar in 2016, 2017 and 2018 = 850 + 930 + 564 = 2344
Total runs scored by Rohit in 2014, 2015 and 2016 = 875 + 548 + 735 = 2158
Required percentage =( 2344 – 2158)/2158 × 100 = 18600/2158 = 8.6 %

Incorrect

Explanation-
Total runs scored by Shikhar in 2016, 2017 and 2018 = 850 + 930 + 564 = 2344
Total runs scored by Rohit in 2014, 2015 and 2016 = 875 + 548 + 735 = 2158
Required percentage =( 2344 – 2158)/2158 × 100 = 18600/2158 = 8.6 %

7. Question 7 of 10
7. Question
1 points
Category: Quantitative Aptitude

Q (6-10) The following line graph shows the runs scored by two Indian batsmen Rohit and Shikhar in different years. The difference between the average runs scored by Rohit and that by Shikhar in all the given years is:

Correct

Explanation-
Total runs scored by Rohit in the given years = 875 + 548 + 735 + 1057 + 1160 = 4375
Total runs scored by Shikhar = 426 + 1035 + 850 + 930 + 564 = 3805
Required difference = 4375/5 – 3805/5 = 875 – 761 = 114

Incorrect

Explanation-
Total runs scored by Rohit in the given years = 875 + 548 + 735 + 1057 + 1160 = 4375
Total runs scored by Shikhar = 426 + 1035 + 850 + 930 + 564 = 3805
Required difference = 4375/5 – 3805/5 = 875 – 761 = 114

8. Question 8 of 10
8. Question
1 points
Category: Quantitative Aptitude

Q (6-10) The following line graph shows the runs scored by two Indian batsmen Rohit and Shikhar in different years. In year 2013, the runs scored by Rohit are 25% more than the average runs scored by him in year 2016, 2017 and 2018 and the runs scored by Shikhar are 50% more than the average runs scored by him in year 2014 and 2016. Find the difference between the runs scored by Rohit and by Shikhar in 2013.

Correct

Explanation-
Runs scored by Rohit in 2013 = 125% of (735 + 1057 + 1160)/3 = 1230
Runs scored by Shikhar in 2013 = 150% of (426 + 850)/2 = 957
Required difference = 1230 – 957 = 273

Incorrect

Explanation-
Runs scored by Rohit in 2013 = 125% of (735 + 1057 + 1160)/3 = 1230
Runs scored by Shikhar in 2013 = 150% of (426 + 850)/2 = 957
Required difference = 1230 – 957 = 273

9. Question 9 of 10
9. Question
1 points
Category: Quantitative Aptitude

Q (6-10) The following line graph shows the runs scored by two Indian batsmen Rohit and Shikhar in different years. In 2018, Rohit played four more matches than Shikhar and his average runs per match were 25.5 more than that of Shikhar. How many matches did Shikhar play in year 2018 ?

Correct

Explanation-
Let the number of matches played by Shikhar in 2018 be x, then the number of matches played by Rohit in 2018 would be x + 4.
According to question, we have, 1160/x+4 – 564/x = 25.5
By solving, we have x = 12

Incorrect

Explanation-
Let the number of matches played by Shikhar in 2018 be x, then the number of matches played by Rohit in 2018 would be x + 4.
According to question, we have, 1160/x+4 – 564/x = 25.5
By solving, we have x = 12

10. Question 10 of 10
10. Question
1 points
Category: Quantitative Aptitude

Q (6-10) The following line graph shows the runs scored by two Indian batsmen Rohit and Shikhar in different years. In which year, the difference between the runs scored by Rohit and by Shikhar is maximum?

Correct

Explanation-
Apparently, the difference between the runs scored by Rohit and by Shikhar is maximum in 2018 (596).

Incorrect

Explanation-
Apparently, the difference between the runs scored by Rohit and by Shikhar is maximum in 2018 (596).

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