Two numbers are in the ratio 3: 4. The product of their H.C.F. and L.C.M. is 2028.The sum of the numbers is

Solution
Let the numbers be 3x and 4x
respectively
First number × second number
=HCF×LCM
⇒ 3x × 4x = 2028
⇒ x^{2} =\(\frac{2028}{3\times 4}\)= 169
∴ x =\(\sqrt{169}\)= 13
∴ Sum of the numbers
= 3x + 4x = 7x = 7 × 13 = 91

Solution
Using formula 1^{3}+ 2^{3} + 3^{3} +.... + n^{3}
=\(\left \{ \frac{n(n+ 1)}{2} \right \}^{2}\)we have,
1^{3} + 2^{3} + 3^{3} + ..... + 10^{3}
\(=\left ( \frac{10\times 11}{2} \right )^{2}=(55)^{2}\)
= 55 × 55 = 3025
(256)^{0.16}× (4)^{0.36} is equal to

Solution
(256)^{0.16} × (4)^{0.36}
= (44)^{0.16} × 40.36 = 40.64 × 40.36
= (4)^{0.64} + 0.36 = 4
Directions: Arrange the following in a logical order starting from the smallest.
1. Centi 2. Deca
3. Kilo 4. Deci

Solution
Logical Order
1. Centi → 4. Deci → 2. Deca → 3. Kilo
Directions: Arrange the following in a logical order starting from the smallest.
1. Ocean 2. Sea
3. Pond 4. River

Solution
Logical Order
3. Pond → 4. River →2. Sea → 1. Ocean
Who among the following was on December 13, 2010 appointed new Chief Information Commissioner?

Solution
Satyanand Mishra
Who is associated with the invention of Nylon ?

Solution
Dr. Wallace H. Carothers
‘Thomas Cup’ is associated with which game/sports?

Solution
Badminton
The Headquarters of United Nations Educational, Scientific and Cultural Organisation (UNESCO) is located at

Solution
Paris (France)
What is the term of a Member of the Rajya Sabha ?

Solution
Term of a RaJya Sabha member is 6 years while that of a 10k Sabha member is 5years