If a person earns a profit of 10% by selling a car and incurs a loss of 20% while selling another car, find his overall profit or loss if the cost price of both the cars are same?

A)

10% Loss

B)

15% Profit

C)

5% Loss

D)

10%Profit

Your Answer : (Not Answered) Correct Answer :

5% Loss

Explanation :

Let the CPs of car is Rs.100
1st SP on profit of 10% = 100 + 10% * 100 = Rs.110.
2nd SP on loss of 20% = 100 - 20% * 100 = Rs.80.
Total CP of both car = Rs.200.
Total SP of both car = (110+80)= Rs.190

Loss = CP - SP = 200-190 = Rs.10
Loss%= (Loss * 100)/CP= (10*100)/200 = 5
So, 5% Loss

Shantanu was given a task of adding a certain number of consecutive natural numbers starting from 1. By mistake, he missed a number during addition. He obtained the sum as 800. Find the number that he missed?

A)

15

B)

20

C)

25

D)

10

Your Answer : (Not Answered) Correct Answer :

20

Explanation :

Sum of n natural numbers is n(n+1)/2 ,and let missing number is x (x<=n) ,then
=> n(n+1)/2 = 800+x
n(n+1) = 1600+2x

It seems that n^{2} is approximate to 1600, then
n^{2}=40^{2}
n=40 and , n+1=41

Therefore n(n+1) = 1600+2x
=> 40*41 =1600+2x
1640 =1600+2x
x = 20
Thus, 20 is the number that he missed.

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A)

3 hrs 45 min

B)

4 hrs

C)

4 hrs 15 min

D)

5 hrs

Your Answer : (Not Answered) Correct Answer :

3 hrs 45 min

Explanation :

Time taken by one tap to fill the half of the tank =3 hours
Part filled by the four taps in 1 hour=4/6=2/3
Remaining part=1 -1/2=1/2

2/3 of the tank is filled by four taps in 1 hour
let the time taken to fill Remaining part is x

Therefore, 2/3:1/2 :: 1:x
or x=(1/2)*1*(3/2)=3/4 hours
ie 45 min

So, the total time taken = 3 hrs + 45 min = 3 hrs 45 min

Ratio between three numbers is 1 : 2 : 3 and sum of their squares is 504. The numbers are?

A)

6, 12, 18

B)

3, 6, 12

C)

4, 8, 24

D)

2, 4, 8

Your Answer : (Not Answered) Correct Answer :

6, 12, 18

Explanation :

Let the three numbers be x, 2x and 3x respectively
(x)^{2} + (2x)^{2} + (3x)^{2}= 504
14x^{2 }= 504
x^{2} = 36
x = 6
So, three numbers are respectively x, 2x and 3x that is 6, 12 and 18 .

In a triangle, the length of the opposite side of the angle which measures 45° is 8√2 cm, what is the length of the side opposite to the angle which measures 90°?

A)

16 cm

B)

4√3 cm

C)

8√3 cm

D)

6√3 cm

Your Answer : (Not Answered) Correct Answer :

16 cm

Explanation :

△ABC is a right angle triangle
∠B = 90°, ∠C = 45°
∠A = 45° (Angle sum property of △)
AB = BC = 8√2 cm
By Pythagoras theorem,
(AC)^{2} = (8√2 )^{2} + (8√2 )^{2}
(AC)^{2} = 64*2 + 64*2
(AC)^{2} = 256

The average salary of the entire staff in a office is 120 rs per month. The average salary of officers is 460 rs and that of non officers is 110 rs. If the number of officers is 15, then the number of non officers in the office is?

A)

500

B)

488

C)

510

D)

450

Your Answer : (Not Answered) Correct Answer :

510

Explanation :

Let the required number of non officers = x
Then, 110*x + 460 * 15 = 120 * ( x + 15 )
or, 120x - 110x = 460 *15 - 120 * 15
10x = 15 *( 460 - 120 )
10x = 15 *340
x = 15*34
So the number of non officers in the office is, x = 510

If the numerator of a fraction is increased by 150% and the denominator is increased by 300%,then the resultant fraction is 5/12 . What was the original fraction?

A)

2/3

B)

1/3

C)

3/5

D)

3/5

Your Answer : (Not Answered) Correct Answer :

2/3

Explanation :

Let the original fraction =x/y

New fraction =(250x/100)/(400y/100)=5/12
250x/400y =5/12
5x/8y=5/12
x/y =8/12 =>2/3

My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when i was born. If my sister was 4 years of age when my brother was born,then what was the age my father and mother respectively when my brother was born?

A)

32 years, 23 years

B)

32 years, 29 years

C)

35 years, 29 years

D)

35 years, 33 years

Your Answer : (Not Answered) Correct Answer :

32 years, 23 years

Explanation :

Father was 28 years of age when my sister was born.
My brother was born 4 years after my sister was born.
Then Father's age when brother was born = 28+4 = 32 years.

Mother was 26 years of age when I was born.
My brother was born 3 years before I was born,
Then Mother's age when brother was born = 26-3 = 23 years.

A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the larger cube to the smaller cubes?

A)

1/6

B)

1/5

C)

1/25

D)

1/125

Your Answer : (Not Answered) Correct Answer :

1/5

Explanation :

The volume of the original cube = 5^{3} = 125 cm^{3}.
The volume of a smaller cubes = 1^{3} = 1 cm^{3}.
Therefore, we will be get total smaller cubes = 125/1 = 125

The surface area of the larger cube = 6*a^{2} = 6(5^{2}) = 6 * 25 = 150
The surface area of each of the smaller cubes = 6 (1^{2}) = 6.
Therefore, surface area of all of the 125, 1 cm^{3} cubes = 125 * 6 = 750.

A boy, after giving away 80% of his pocket money to one companion and 6% of the remainder to another, has 94 paise left with him. How much pocket money did the boy have in the beginning(in rupees)?

A)

2

B)

2.5

C)

5

D)

10

Your Answer : (Not Answered) Correct Answer :

5

Explanation :

Let the boy had Rs.x
Money given to his companion = 80% of x = 4x/5
Remaining money = x - 4x/5 = x/5
Money given to another companion = (6/100)*(x/5) = 3x/250
Remaining money => x/5 - 3x/250 = 94/100 (in rupees)
so 47x/250 = 94/100
x = 94*250/100*47
x = 5 (in rupees)

A is twice as good as workman as B and therefore able to finish a piece of work in 30 days less than B. In how many days can they complete the whole work together?

A)

20 days

B)

40 days

C)

60 days

D)

80 days

Your Answer : (Not Answered) Correct Answer :

20 days

Explanation :

Let A takes X days to complete the work and B takes 2X days
according to question, A takes 30 days less than B, that is X = 2X – 30
X=30

thus ,A take 30 days to complete the work and B takes 60 days
hence, A and B one days work is 1/30 + 1/60 = 1/20

Therefore, the whole job together they will be completed in 20 days