Mathematics Quiz  Time and Work

Q1. If 40 men or 60 women or 80 children can do a piece of work in 6 months, then 10 men, 10 women and 10 children together do half of the work in

Q2. Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube. The surface area of the new cube is
(a) 486 cm²
(b) 496 cm²
(c) 586 cm²
(d) 658 cm²

Q3. I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?
(a) 30 minutes
(b) 19 minutes
(c) 37 minutes
(d) 20 minutes

Q4. The compound interest on a certain sum of money at a certain rate per annum for two years is Rs. 2,050, and the simple interest on the same amount of money at the same rate for 2 years is Rs. 3,000. Then the sum of money is
(a) Rs. 20,000
(b) Rs. 18,000
(c) Rs. 21,000
(d) Rs. 25,000

Q5. If ab + bc + ca = 0, then the value of  is
(a) 2
(b) –1
(c) 0
(d) 1

Q6. The mean of 20 items is 55. If two items 45 and 30 are removed, the new mean of the remaining items is
(a) 65.1
(b) 65.3
(c) 56.9
(d) 56

Q7. The elimination of θ from x cosθ –y sin θ = 2 and x sin θ + y cos θ = 4 will be

Q8. The value of  is
(a) 1
(b) cotθ
(c) cosecθ
(d) tanθ

Q9. If  then the value of 1-2 sin² θ is

Q10. The value of  is (0°<A<90°)
(a) 2 cosec A
(b) 2 sec A
(c) 2 sin A
(d) 2 cos A

Solutions: