Explanation

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.

∴ (2x + 2) + 2x + x = 27

⇒ 5x = 25

⇒ x = 5.

Hence, B's age = 2x = 10 years.

Explanation

12 men took to 6 hours to complete the work.

It means there is 12 x 6= 72 units of work

Now 12men done work for one hour. So 12 x 1 =12 units of work completed.

Remaining work = 72-12= 60 units

Now the no of men=12+8= 20

So 60 units of work have to complete by 20 men

Therefore 60/20= 3 hours

Explanation

8 men can do work = 20 days 

1 man can do this work = 8*20

10 men can do that work = [8*20]/10

                                              =16 days 

Explanation

Two angles are called supplementary angles, if their sum is two right angles i.e. 180°.

Explanation

As the person is 7th from the either end, implies, there are 6 persons ahead of him and 6 persons behind him as shown below. Hence, there are 13 persons in the queue.

Explanation

b=12, c−a=8

a2+b2=c2

⇒b2=(c−a)(c+a)

⇒144=8×(c+a)

Solving we get, c = 13 cm, a = 5cm

Area of triangle =21×12cm×15cm=30cm2

Explanation

The difference between consecutive terms of the given series are respectively 5, 7, 9, 11 and 13.

Clearly, 34 is a wrong number and must be replaced by (24 + 11) i.e. 35.

Explanation

Therefore, Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3. 

Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind.

Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg.

Explanation

Let Arif’s shear= x

Hafiz’s shear = 4x

Arif’s shear is 1/3 of Haider, it means

Haider shear = 3x

Given condition:

x + 4x + 3x= 2560

              8x = 2560                x = 320 

So arif’s shear = 320

Explanation

=2 % of 6,75,00,000

=2/100 x6,75,00,000

= Rs 1350000