Explanation

(0.7) ^? + 3 = (0.49 x 0.343/0.2401)^4

(0.7)^? + 3 = (0.7)^4

On comparing the exponents both sides, we get

? + 3 = 4

∴ ? = 4 - 3 = 1

Explanation

Antarctica is called 'The Land of Penguins', due to the large number of penguins.

17 species of penguins are found worldwide, however, only 7 reside in the Antarctic region

And can be considered truly Antarctica penguins

Explanation

The Lahore Congress - 1929:

• The Congress met at Lahore under the Presidentship of Jawaharlal Nehru In 1929.
• It declared Puma Swam or Complete Independence for India as Its goal.
• At mid night on 31, December 1929, the tri colour flag was unfurled on the bank of river Ravi amidst the Slogans Vande Mataram.

Explanation

Find the equation of line I using the two-point form:

(y - 5) / (8 - 5) = (x - (-3)) / (6 - (-3))

(y - 5) / 3 = (x + 3) / 9

y = (1/3)x + 6

Check which point lies on line I:

(0, 6): 6 = (1/3)(0) + 6 => True

Answer: (0, 6)

Explanation

To "play into another's hand" means to unintentionally put oneself at a disadvantage and be under another's control or influence.

It allowing them to gain an advantage.

Explanation

One inch is equal to 25.4 millimeters (mm).

Millimeter (mm) is a unit of length.

One millimeter is equal to 1/1000 of a meter (m).

Additional Information

1 inch is equal to 0.083 feet

1 inch is equal to 2.54 cm

1 inch is equal to 0.0254 m

1 inch is equal to 0.028 yard

1 inch is equal to 6.45 sq. cm

Explanation

To find the third number:

The average of three numbers is 20. Therefore, the sum of these three numbers is

20×3=60.

The sum of the two given numbers (16 and 22) is

16+22=38.

Subtract this sum from the total sum to find the third number: 

60−38=22.

So, the third number is 22.

Explanation

The time during which workers are at the disposal of the employer, excluding intervals for rest and meals, is called "Hours of work."

It represents the total time employees are actively engaged in their duties.

Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

• Evaluate the expression inside the square root:

√2401 = 49 (exactly!)

• Add 176 to the result:

176 + 49 = 225

• Take the square root of the sum:

√225 = 15 (exactly!)

So, the correct answer is: 15

Explanation

Titu Mir is also known as Syed Mir Nisar Ali.

He was led a rebellion against the British in 19th-century Bengal.

He was a key figure in the Wahabi movement, which opposed British rule and local landlords.