- 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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 - 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.