# Quantitative Aptitude: Data Sufficiency Questions Set 5

Directions (1-4): In each of the following questions, a question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly.

1. What is the principal amount?
Statement I: The difference between Compound Interest and Simple Interest for 2 years is 300
Statement II: If the Compound Interest for 3 years at the rate of 10% is 3310
Statement III: If the sum becomes double in 32 years at Compound Interest?
A) Only I
B) Only II
C) II and III together
D) Only I or II
E) II and I or III
Option B
Solution
:
From II, using the formula of CI, amount can be found.
2. What is the length of the train?
Statement I: If train can cross a platform in 35 second and a pole in 15 sec.
Statement II: If the speed of train is 70 kmph
Statement III: If the length of platform is 400 m
A) I and III together
B) I alone
C) I and II together
D) II and III together
E) Even all I, II, and III are not sufficient
Option C
Solution
:
From I and II: speed = 70 km/hr and crosses the pole in 15 sec, so length = speed*time
3. What will be the increase percent in volume?
Statement I: An ice cube is dip into 10 litre water
Statement II: If radius of a cylinder increases by 20% and height increases by 10%
Statement III: If the height of ice cube is 10 cm.
A) All I, II and III
B) II alone and I and III together
C) I and II together
D) II and III alone
E) II alone
Â  Option B
Solution
:
II:
Volume = Ï€*r*r*h
So by successive formula, the increase in volume can be found
First: r*r
So 20 + 20 + (20)(20)/100 = 44%
Next: 44 + 10 + (44)*(10)/100 â€“ final increase in volume
From I and III:
volume of given shape (cylinder, cube, cone etc) = 10 l (initial volume). And ice cube of height 10 cm is dip into it.
So after finding new volume or increase in volume after the ice cube is dipped, % increase in volume can be found. Â
4. Find the increase percent in Cost Price to make Marked Price if
Statement I: A trader gain 25% on Cost Price
Statement II: A trader gain 20% on Selling Price
Statement III: A trader gain 20% on Cost Price after giving a discount of 20% on Marked Price
A) I and II Together
B) II and III Together
C) Only III
D) All I, II and III Together
E) None of these
Â  Option C
Solution
:
Using III.
Gain=20%=1/5
CP : SP=5:6— (i)
Discount=20%=1/5
MP:SP=5:4 —-(ii)
hence
CP:SP:MP= 10:12:15
hence (15-10)/10*100

Directions (5-10): In each of the following questions, a question is followed by two statements numbered I and II. Read both the statements and answer accordingly.

1. What is the ratio of milk and water in the mixture?
Statement I: If a trader earns a profit of 20%after adding water in milk and sold it at Cost Price.
Statement II: If a trader earns some profit after selling milk at Rs 25/Litre by adding water in it.
A) Only I
B) Only II
C) Either I or II
D) Neither I nor II
E) Both I and II
Option A
Solution
: From I. Water:Milk=20:100
2. What is the age of B?
Statement I: The ratio of present age of A and B is 3:5 and 4 years before A was 8 years younger than B
Statement II: 3 years ago the ratio of ages of A and B was 4:7 and 3 years hence the ratio will become 2:3
A) Only I
B) Only II
C) Either I or II
D) Neither I nor II
E) Both I and II
Option C
Solution
:
From I:
A/B = 3/5
(A-4) = (B-4) â€“ 8 or A = B â€“ 8
From II also, we get 2 equations.
3. What is the age of teacher?
Statement I: In a class of 20 students the average age of students is 21 and it increases to x if the age of teacher is included.
Statement II: In a class of 10 students the average age of students and teacher is 22 years
A) Only I
B) Only II
C) Either I or II
D) Neither I nor II
E) Both I and II
Option D
Solution
:
We cannot find the age of teacher with the given data.
4. What of the distance travelled?
Statement I: If a person covers a distance in 12 hour, covering the first half at 20 kmph and the second half at 30 kmph
Statement II: If a person covers a distance at 30 kmph. If her decreases his speed to 25 kmph he takes two more hour to reach the destination
A) Only I
B) Only II
C) Either I or II
D) Neither I nor II
E) Both I and II
Option C
Solution
:
Using I. Find the avg speed = 2*x*y/(x+y) multiply it by 12 to get distance
Using II. Time =D/S=> 2= x/25 â€“ x/30 where x is the distance
5. What will be the profit of A?
Statement I: A and B invested Rs 6000 and Rs 7000 respectively. A increases his investment by 50% after 6 months and their annual profit is Rs 3800
Statement II: A and B invested Rs 10,000 and Rs 12,000 respectively . If B doubles his investment after some months and their annual profit is Rs 2,000
A) Only I
B) Only II
C) Either I or II
D) Neither I nor II
E) Both I and II
Option A
Solution
:
In II. definite time is not known as we cannot get the ratio in which profit is divided.
In I. A=6000*6 + 9000*6=54000
B=7000*12=84, we can find the profit now
6. Find in how many days A alone can do the work?
Statement I: If A and B do a work together for 10 days and B left the work and A do the remaining work in 20 days.
Statement II: If A and B can do the work in 15 days
A) Only I
B) Only II
C) Either I or II
D) Neither I nor II
E) Both I and II
Option E
Solution
:
From I. 30/A + 10/B=1
From II. 1/A + 1/B=1/15. We can get A and B using both

## 11 Thoughts to “Quantitative Aptitude: Data Sufficiency Questions Set 5”

1. sachin shukla@ my turn 2017

thankuu

2. jaga

thank u mam

3. yo

question no 3rd II:
how this method is used and why
kindly explain explicitly?
Volume = Ï€*r*r*h
So by successive formula, the increase in volume can be found
First: r*r
So 20 + 20 + (20)(20)/100 = 44%
Next: 44 + 10 + (44)*(10)/100 â€“ final increase in volume
From I and III:
volume of given shape (cylinder, cube, cone etc) = 10 l (initial volume). And ice cube of height 10 cm is dip into

1. Yes sure.
When you have a resultant quantity as a product of 2 other quantities. Like
A = B Ã— C
U can apply the successive method to know the increase/ decrease in A.

So that method is
Change in B + change in C + (change in B)*(change in C)/100
Or x + y + xy/100.

Here are 3 quantities in multiplication r, r and h.
So first we have find for r and r.
And then resultant of above and h

Like we do in 3 successive discounts case.

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