2
Q:

# 600 students took the test on physics and chemistry. 35% students failed in physics and 45% students failed in chemistry and 40% of those who passed in chemistry also passed in physics, then how many students failed in both:

 A) 162 B) 138 C) 60 D) None of these

Explanation:

Physics             Chemistry

Failed           35%                    45%

Passed         65%                    55%

Passed in both = 22% of total student

percentage of students who are passed in any of the physics or chemistry or both =(65+55) - 22 = 98%

So, the percentage of students who are failed in both = 2%

Therefore, total failed (in both subjects) students = 12

Q:

Ram sell his goods 25% cheaper than Shyam and 25% dearer than Bram. How much % is Bram's good cheaper than Shyam ?

 A) 60% B) 40% C) 50% D) 30%

Explanation:

Lets say shyam sells at 100,

Since Ram sells 25% cheaper than Shyam,

Therefor Ram sells at less than 25% of100 or 75 rs.

Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or

125% of x (say x price of bram )=75rs.
or 100% of x =60rs.
hence price of bram is 60rs.

now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%.

Hence Brams Good is 40% cheaper than that of Shyam's good.

1 49
Q:

What is better, to have 70% discount or 40 and 30% discount consequently ?

 A) 40% is better B) 70% is better C) Both are same D) None

Explanation:

Let Price be Rs.100

1st CASE:

Then 100 x 70/100 = 70
=> price after discount = 100-70 = Rs.30

2nd CASE:

Then 100 x 40/100 = 40
=> price after discount = 100-40 = Rs.60
then
60 x 30/100 = 18
=> price after 2 consequent discount = 60-18 = Rs.42

=>from 1 and 2 cases, 70% discount is better.

1 41
Q:

Prashanth sold a album for \$ 735 and made a profit of 22.5% . The cost price of the album went up by \$120 and so Prashanth increased the selling price by \$120. What is his profit % now ?

 A) 19.32 % B) 18.75 % C) 21.41 % D) 22 %

Explanation:

Prashanth sold a album for \$ 735 and made a profit of 22.5% .
CP = 735 x 100/122.5 = Rs. 600
New CP = 600 + 120 = Rs. 720
New SP = 735 + 120 = Rs. 855.

Profit = Rs. 135.

profit % = 100 x 135/720 = 18.75%.

1 39
Q:

Value of vehicle at end of each year depreciates at the rate of 3/5th of value at the beginning. If Initial value is 10,000Rs then at the end of three years its value is ?

 A) Rs. 6000 B) Rs. 3600 C) Rs. 2160 D) Rs. 415

Explanation:

End of first year     :  10000 x (3/5) = Rs. 6000
End of second year :  6000 x (3/5) = Rs. 3600
End of third year    :  3600 x (3/5) = Rs. 2160

1 26
Q:

Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?

 A) 76% B) 72% C) 80% D) 82%

circumference of A = $\inline \fn_jvn \small 2\prod r$ = 8 => so r = $\inline \fn_jvn \small \frac{4}{\prod }$
volume = $\inline \fn_jvn \small \prod x\left ( \frac{4}{\prod }\right )^{2}x10$ = $\inline \fn_jvn \small \frac{160}{\prod }$
circumference of B = $\inline \fn_jvn \small 2\prod r$  = 10 => so r = $\inline \fn_jvn \small \frac{5}{\prod }$
volume = $\inline \fn_jvn \small \prod x\left ( \frac{5}{\prod }\right )^{2}x8$ =  $\inline \fn_jvn \small \frac{200}{\prod }$