User Forum

Find the missing number.



A 5
B 6
C 8
D 12

Which of the following is/are correct?

A Product of two irrational numbers is always an irrational number.
B The sum of two irrational numbers is always an irrational number.
C Sum of rational and irrational number is always an irrational number.
D None of these

Which of the following graphs represent the lines 2x + 4y = 8 and 3x – 4y = 12?

A
B
C
D

Select the figure from the options in which Fig.(X) is exactly embedded as one of its part.



A

B

C

D

If (–2, 1), (a, 0), (4, b) and (1, 2) are the vertices of a parallelogram, then
(i) Find a
(ii) Find b
(iii) Area of the parallelogram.

Which of the following is correct statements?
(i) 3(sinθ – cosθ)⁴+ 6(sinθ + cosθ)² + 4(sin⁶θ + cos⁶θ) is independent of θ.
(ii) If cosecθ – sinθ = a³, secθ – cosθ = b³, then a²b²(a² + b²) = 2

A Only (i)
B Only (ii)
C Both (i) and (ii)
D Neither (i) nor (ii)

Study the Venn diagram given below.
(1) Rectangle represents males.
(2) Triangle represents educated.
(3) Circle represents urban.
(4) Square represents civil servants.

Who among the following is neither a civil servant nor educated but is urban and a male?

A 2
B 3
C 6
D 12

A leak at the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres per minute. When the tank is full, the inlet is opened and due to the leak, the tank gets empty in 8 hours. The capacity of the tank is

A5260 litres
B5760 litres
C5846 litres
D6970 litres

If α, β be two zeroes of the quadratic polynomial ax² + bx – c = 0, then find the value of .

A
B
C
D

If 2 men and 7 women can do a piece of work in 4 days, 4 men and 2 women can do the same work in 5 days, then in how many days 6 men and 27 women can do the same work?

A
B
C
DNone of these