Question
A man, a woman and a girl can together complete a piece
of work in 60 days. If 10 men can do it in 16 days and 8 girls can finish it in 30 days, how long will 4 women take to complete the work? ÂSolution
( 1 Man + 1 woman + 1 girl)’s 1day’s work = 1/60 1 man’s 1 day work = 1/(10*16)= 1/160 1 girl’s 1 day’s work = 1/(8*30)= 1/240 ∴  1 woman’s 1 day’s work = 1/60 – 1/160 - 1/240= 1/160 Therefore, 4 woman alone can finish the work in 160/4= 40 days.
A frustum of a cone has a lower base radius of 5 cm, an upper base radius of 3 cm, and a height of 4 cm. What is the volume of the frustum?
Pawan and Bhanu started a business with their investments in the ratio 5:7. After 6 months, Raju joined the business with an inve...
A bag contains red, blue, and green balls in the ratio of 2:4:5. If two balls are randomly selected from the bag, the probability that both are blue is ...
If z=2+3i, then arg(z)=θ lies in which quadrant?
From a point located x meters away from the base of a tree, the angle of elevation to the top of the tree is 60 ∘ . If the tree is 54 mete...
What is the value of 8 √ 4 × 16 √ 4?Â
The conjugate of z = 2 − 5i is:
The bar graph given below shows the number of JK Tyres manufactured by a Showroom on five different days. Read the graph carefully and answer the questi...
The value of tan 225° is same as the value of:
In a triangle ABC, the sides are AB = 15 cm, BC = 20 cm, and AC = 25 cm. Find the area of the triangle using Heron’s formula.