GATE Questions

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Let the principal amount be Rs. x
Calculating SI:
SI for 1 year at 12% rate is Rs (12/100)*x. For 3 years it will be Rs (36/100)*x ------ (1)
Calculating CI:
For 1st year, Interest = (12/100)*x
For 2nd year, interest = (12/100)*x + (12/100)*x + (144/10000)*x
For 3rd year, interest = (12/100)*x + (12/100)*x + (12/100)*x + (144/10000)*x + (144/10000)*x + (1728/1000000)*x. ------ (2)
Subtracting equation 2 and 1 and solving further,
312*144*x/1000000 = 112.32
X = Rs 2500.
Alternative way: Using formula for Difference
between CI and SI for 3 years

we can also use the above formula to find the value of P.

Ans. 
Time taken by A to complete a work alone - 24 days
Time taken by A in completing 1/3 of work = 24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A & B start working together?
16*24 / 40 = 48/5 Days

India's Lakshya Sen has become the World No 1 Junior Badminton player. He achieved the distinction in the latest rankings of the Badminton World Federation (BWF). Fifteen-year-old is the first shuttler from Uttarakhand to attain the numero uno spot at the international level. Lakshya, who is considered as the shining future star of Indian badminton, moved ahead of Chia Hao Lee of the Chinese Taipei, to attain the top spot. According to BWF current rankings, Lakshya has 16,903 points in eight tournaments he has played in the season. Chia Hao, who is at the second spot, has 16,091 points.

Let the speed of the slower train = p kmph

ATQ,

Speed of the faster train = (p + 6) kmph

Then,

(p + p + 6) x 5 = 160

10p + 30 = 160

10p = 130

p = 13 kmph

Then, speed of the faster train = p + 6 = 13 + 6 = 19 kmph.

Most Himalayan rivers are perennial because they are fed by the melting snow throughout the year.
Thus, both A and R are true & R correctly explains A.

A barometer is a tool that measures air pressure

A rising barometer indicates increasing air pressure, a falling barometer indicates decreasing air pressure.

In space, there is a nearly complete vacuum, so the air pressure is zero.

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8