The easiest way to solve such problems for objective exam purposes is trial and error or by back

Substituting answers in the choices given.

101² = 10,201

101² − 1 = 10,200.

This is divisible by 100.

Similarly try for  101³ − 1 = 1,030,301−1 = 1,030,300.

So you can safely conclude that (101¹ − 1) to (101⁹ − 1) will be divisible by 100.

(101¹⁰ − 1) to (101⁹⁹ − 1) will be divisible by 1000.

Therefore,  (101¹⁰⁰ − 1) will be divisible by 10,000.

The Peltier effect is the presence of heating or cooling at an electrified junction of two different conductors and is named after French physicist Jean Charles Athanase Peltier, who discovered it in 1834. When a current is made to flow through a junction between two conductors, A and B, heat may be generated or removed at the junction. The Peltier heat generated at the junction per unit time is
Q = (π₄ − πB)I
where π_A and π_B are the Peltier coefficients of conductors A and B, and is the electric current (from A to B).

Let the divisor be d.
When 359 is divided by the divisor, let the quotient be 'x' and we know that the remainder is 7.
Therefore, 359 = xd + 7
Similarly, let y be the quotient when 657 is divided by d.
Then, 657 = yd + 8.
359 + 657 = xd + yd + 7 + 8
1016 = xd + yd + 15
As xd and yd are divisible by d, the remainder when 1016 is divided by d should have been 15.
However, as the question states that the remainder is 4, it would be possible only when 15/d leaves a remainder of 4.
If the remainder obtained is 4 when 15 is divided by d, then d has to be 11

As per the given information Mamta was running towards East direction and her friend was running towards opposite direction that is West.

we know that percentage=(given quantity/total quantity) x 100
Required percentage  = 48/60 × 100 = 80%

36 × 12 + 4 ÷ 6 + 2 - 3
After replacing signs,
36 - 12 ÷ 4 + 6 ÷ 2 × 3
⇒ 36 − 12/4 + 6/2 × 3
⇒ 36 - 3 + 3 x 3
⇒  45 - 3
⇒ 42

India Red won the Duleep Trophy 2019, beating India Green team in the final in Bengaluru.

Tamil Nadu government appointed the Rajmannar committee in 1969, to study the central state relations under the chairmanship of P.V. Rajmannar.

The Pattern is as follows:-
15×3=45, 45+15+1=61
13×3=39, 39+13+1=53
12×3=36, 36+12+1=49
But,
14×3=42, 42+14+1=57 ≠ 59