# Quantitative Aptitude: Data Sufficiency Questions Set 16

1. What is perimeter of the rectangle ?
I. Perimeter of square is 84 cm and length of rectangle is equal is equal to side of square.
II. The length of rectangle is 40% more than the breadth of rectangle.

Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option E
From I, Side of square = 84/4 = 21cm
length of rectangle = 21
from II, let of breadth of rectangle = 5x
and length = 5x * 140/100 = 7x
from I and II both,
breadth of rectangle = 21/7x * 5x = 15
perimeter of rectangle = (21 + 15)2 = 72 cm
Both statement are required to find the answer.

2. What is the length of train ?
I. The train crosses a 220 meters long platform in 15 seconds.
II. The train crosses a person walking in opposite direction in 6 seconds.
Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option D
From I, Let length of train = x
speed of train = y
x + 220/y = 15
From II, Let speed of man = z km/hr
x/y + z = 6
Both statement I and II are not sufficient to calculate the answer.

3. What is the rate of interest ?
I. Rs. 4000 becomes rs.5200 in 2 years when invested at simple interest.
II. The same sum is invested in CI and SI for 2 years at same rate of interest and difference between CI and SI is rs.90.
Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option C
From I, Sum = 4000
2 years interest = 5200 – 4000 = 1200
1 years interest = 1200/2 = 600
rate of interest = 600/4000 * 100 = 15%
from II, P = 4000
difference = 90
90 = 4000 * R^2/1000^2
R = 15%
either I or II is sufficient.

4. What is the speed of boat in still water ?
I. Boat covers 150 km in upstream speed in 10 hours.
II. Ratio of speed of downstream and upstream is 5 : 3.
Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option E
From I, Upstream speed = 150/10 = 15 km/hr
from II, Let downstream speed = 5x
upstream speed = 3x
from both I and II,
downstream speed = 15/3x * 5x = 25 km/hr
speed of boat = 25 + 15 /2 = 40/2 = 20 km/hr
Both statement are required to find the answer.

5. In how many days B alone can do the work ?
I. A and B together can complete a work is 18 days.
II. B and C together can complete the same work in 24 days.
Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option D
Alone statement I and II can not find answer
from both statement I and II together
LCM of 18 and 24 = 72
efficiency of A and B = 72/18 = 4
efficiency of B and C = 72/24 = 3
Here , we can not find individual efficiency so,
from both statement I and II we can not calculate the answer.

6. What is the area of square ?
I. The perimeter of square is 36 cm.
II. The area of rectangle is 96 cm^2 and side of square is 3 cm less than length of rectangular.
Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option A
From I, perimeter of square is 36 cm.
side of square = 36/4 = 9 cm
area of square = 9 * 9 = 81 cm^2
From II, Area of rectangle = 96 cm^2
only from II we can not find the answer.
only statement I is sufficient.

7. How much profit earned selling a table ?
I. The ratio of cost price and marked price of the table is 5 : 8. After giving some discount profit percent occurred is 28%.
II. The shopkeeper is given 20% discount on MP and selling price of the table is rs.320.
Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option E
From I , Let CP of table = 5x
MP = 8x
profit = 28%
From II, SP = 320
discount = 20%
MP = 320/4 * 5 = 400
both From I and II,
MP = 400
CP = 400/8 * 5 = 250
profit = 320 – 250 = 70
Both I and II are sufficient to find answer.

8. What is profit share of C ?
I. A and B start the business with capital of rs.8000 and rs.10000 respectively.
II. After 4 months C joined the business with capital of rs.6000 and total profit at the end is rs 2200.
Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option E
From I, A and B invested rs.8000 and rs.10000 respectively.
from II, total profit = rs. 2200
C invested 6000 for 8 months
Both from I and II,
Profit sharing ratio of A, b and C = (8000 * 12) : (10000 * 12) : (6000 * 8)
= 4 : 5 : 2
profit of C = 2200 * 2/11 = 400
Both statement I and II is required to find answer.

9. What is the age of the mother of Rohit ?
I. The age of Rohit’s father is 3 times more than age of Rohit. After 4 years the ratio of age of Rohit and his father becomes 1: 3 and the age of mother is 4 years less than the age of his father.
II. The ratio of age of Rohit and his mother is 2 : 7 and before 4 years the age of Rohit and his mother 1 : 6.
Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option C
From I, Let the age of Rohit = x
the age of his father = 3x + x = 4x
After 4 years,
x + 4/ 4x + 4 = 1/3
3x + 12 = 4x + 4
x = 8
age of his father = 4x = 4 * 8 = 32
age of his mother = 32 – 4 = 28
From II, Let the age of Rohit = 2x
the age of his mother = 7x
before 4 years,
2x – 4/ 7x – 4 = 1/6
12x – 24 = 7x – 4
5x = 20
x = 4
age of his mother = 7 * 4 = 28 years

10. How much marks scored by Rinu ?
I. Rinu scored 32% and failed by 48 marks.
II. She scored 49% which is 54 more marks than pass marks.
Only statement I is sufficient.
Only statement II is sufficient.
Either statement I or statement II is sufficient.
Neither statement I nor statement II is sufficient.
Both statement I and II are sufficient.
Option E
Either I or II we can not calculate the answer.
Both statement I and II,
32% + 48 = 49% – 54
17% = 102
1% = 6
pass marks = 32% + 48 = 192 + 48 = 240 marks
Both I and II is required to get answer.