SSC CGL Mathematics Test 44

Instructions

For the following questions answer them individually

Q 1

A and B can together do a piece of work in 10 days. If A works with twice of his efficiency and B works with an efficiency 1/3rd less than his efficiency, then the work gets completed in 6 days. In how many days can A and B do the work alone respectively?

Q 2

The sum of a non-zero number and twenty times its reciprocal is 9. What is the number?

Q 3

The internal bisectors of ∠Q and ∠R of triangle PQR meet at O. If ∠P = 70°, then what is the measure of ∠QOR (in degrees)?

Q 4

A and B together do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?

Q 5

If $$pq(p+q)=1$$, then the value of $$\frac{1}{p^3q^3}-p^3-q^3$$ is equal to

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