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UPPSC Lower PCS Exam Key-2016

Question
Answer
The annual rate of compound interest, by which a sum of money becomes 125/64 times of itself in three years, is
25%
A boy purchases bananas at the rate of 11 bananas in 10 rupees and sells at the rate of 10 bananas in 11 rupees. What is the percentage of profit to the boy?
21%
What is the least number which when divided by 20, 25, 35 and 40 leaves respectively 13, 18, 28, and 33 as remainder?
1393
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is increased by 1, the number becomes 3/2 the rational number is
7/15
Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The LCM. Of these three numbers is
 72
A train 150 m long passes a pole in 15 second and crosses another train of same length travelling in opposite direction in 8 seconds. The speed of the second train is
99 km/hr
If the lines 3x+2ky­2=0 and 2x+5y+1=0 are parallel, then the value of k is
15/4
Let abc be a three ­digit number and 3 does not divide it. Then abc+bca+cab is not divisible by
9
If the roots of the quadratic equation 2x2+3x+k=0 are equal, then the value of K is
9/8
A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre.
18 cm.
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