- 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 - 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. - 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 - 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. - 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. - 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,

We can not get answer,

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. - 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. - 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. - 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. - 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.