# Quantitative Aptitude: Data Sufficiency Questions Set 15

1. what is distance between city A and city B ?
I. Sanju and Manju started their journey simultaneously from city A to city B with their speeds in the ratio of 3 : 2.
II. Manju takes 2 hours more than Sanju to reach city B.
II. The difference between speeds of Sanju and Manju is 25 km/hr.
Only I and II is sufficient.
Only II and III is sufficient.
Either I or II is sufficient.
Neither I nor II is sufficient.
All I, II and III are sufficient.
Option E
From I, Let speed of Sanju = 3x
speed of Manju = 2x
From II, we can not calculate distance between city A and B.
From III, difference between speed of Sanju and Manju is given, so we can not calculate the answers.
from statement, I, II, III together,
Difference between their speeds = 3x – 2x = 25
x = 25
speed of Sanju = 3 * 25 = 75
speed of Manju = 2 * 25 = 50
Let distance = D
D/50 – D/75 = 2
3D – 2D/150 = 2
D = 300

2. In how many days will B alone completed the work ?
I. A and B together can complete the work in 16 days.
II. B and C together can complete the work in 12 days.
III. A and C together can complete the work in 18 days.
Only I and II is sufficient.
Only II and III is sufficient.
Either I or II is sufficient.
Neither I nor II is sufficient.
All I , II and III are sufficient.
Option E
From I, only from statement I we can not get the answer.
From I and II,
LCM of 16 and 12 = 144
Total work = 144
efficiency of A and B = 144/16 = 9
efficiency of B and C = 144/12 = 12
Here, we can not get answers.
From I, II and III,
efficiency of A and C = 144/18 = 8
A + B + B + C + A + C = 9 + 12 + 8 = 29
A + B + C = 29/2 = 14.5
Here, we can get the answers.

3. What will be the difference between two numbers ?
I. the square of the first numbers is 9 times the second number.
II. The ratio of the first number to the second number is 3 : 4.
Only I is sufficient.
Only II is sufficient.
Either I or II is sufficient.
Neither I nor II is sufficient.
Both I and II are sufficient.
Option E
From I, we can not calculate the answers.
From I and II, Let first numbers = 3x
second number = 4x
(3x)^2 = 9 * 4x
9x^2 = 36x
x = 4
Difference = (4 * 4) – (3 * 4) = 4

4. What was the percent profit or loss incurred by selling an article for rs.14000 ?
I. The ratio of selling price to the cost price of the article is 7 : 5.
II. The marked price of the article is 60% more than the cost price.
Only I is sufficient.
Only II is sufficient.
Either I or II is sufficient.
Neither I nor II is sufficient.
Both I and II are sufficient.
Option A
From I,
Ratio of SP and CP of the article = 7 : 5
SP = 14000
CP = 14000/7 * 5 = 10000
profit % = (14000 – 10000)/10000 * 100 = 40%
only statement I is sufficient.

5. What is the amount invested in scheme B ?
I. The amount invested in scheme A is rs.48000.
II. The amount invested in scheme A is 60% of the total amount invested.
III. The amount invested in scheme A and B are in the ratio of 3 : 2.
Only I and II is sufficient.
Only I and III is sufficient.
Either only I and II or only I and III is sufficient.
Neither I nor II is sufficient.
All I, II and III are sufficient.
Option C
From I, invested by A = 48000
from I and II,
Let, total investment of A and B = 100x
investment of A = 60x
investment of B = 40x
ratio of investment A and B = 3 : 2
investment of B = 48000/3 * 2 = 32000
From I and III,
Investment of A = 48000
Investment ratio of A and B = 3 : 2
investment of B = 48000/3 * 2 = 32000
either only statement I and II or only statement I and III is sufficient.

6. What is the present age of B ?
I. The age of B is 4 years older than A.
II. The ratio of present age of A and C is 5 : 4.
Only I is sufficient.
Only II is sufficient.
Either I or II is sufficient.
Neither I nor II is sufficient.
Both I and II are sufficient.
Option D
From I,
from I and II,
Let present age of A and C = 5x and 4x respectively.
the age of B = 5x + 4
from I and II together we can not get answer.

7. What is the speed of boat in still water ?
I. The boat can go a distance of 320 km in 8 hours in downstream speed.
II. The ratio of downstream speed and upstream speed is 5 : 3.
Only I is sufficient.
Only II is sufficient.
Either I or II is sufficient.
Neither I nor II is sufficient.
Both I and II are sufficient.
Option E
From I,
Downstream speed = 320/8 = 40 km/hr
only statement I is not sufficient.
From I and II,
Downstream speed = 40 km/hr
upstream speed = 40/5 * 3 = 24 km/hr
speed of boat in still water = (40 + 24)/2 = 32 km/hr
both statement I and II is required to get answer.

8. Find the rate of interest ?
I. The difference between CI and SI on an amount at rs.4000 for 2 years is rs.90.
II. The simple interest incurred on certain sum is rs.2400 in 4 years.
Only I is sufficient.
Only II is sufficient.
Either I or II is sufficient.
Neither I nor II is sufficient.
Both I and II are sufficient.
Option A
From I,
CI – SI = PR^2/100^2
90 = 4000 * R^2/10000
R = 15%
From II, Here principal is not given so we can not get answer.
only statement I is sufficient.

9. What is the length of rectangle ?
I. The perimeter of square field is 56m and breadth of the rectangle filed is 4m more than the side of square field.
II. The area of rectangular field is 360 m^2.
Only I is sufficient.
Either I or II is sufficient.
Only II is sufficient.
Neither I nor II is sufficient.
Both I and II are sufficient.
Option E
From I,
Perimeter of square filed = 56m
side of square = 56/4 = 14m
breadth of rectangular field = 14 + 4 = 18 m
Here we can not get answer.
From I, and II,
Breadth of rectangular = 14 + 4 = 18
Area of rectangular = 360 m^2
length = 360/18 = 20m
both I and II is required to get answer.

10. What is the length of train B ?
I. Length of train A is 180 m and it crosses a pole in 12 seconds.
II. The ratio of speed of train A and train B is 3 : 5. Train B crosses a 280 m long bridge in 20 seconds.
Only I is sufficient.
Either I or II is sufficient.
Only II is sufficient.
Neither I nor II is sufficient.
Both I and II are sufficient.
Option E
From I, length of train A = 180 m
speed of train A = 180/12 = 15 m/sec
only statement I is not sufficient.
Both from I and II,
speed of train B = 15/3 * 5 = 25 m/sec
let length of train B = x
x + 280/20 = 25
x = 220
both statement I and II is required to get answer.