Explanation

1/16 of 1028 = 1028 ÷ 16 = 64.25

1/4 of 236 = 236 ÷ 4 = 59

1/3 of 741 = 741 ÷ 3 = 247

So, 1/3 of 741 (247) is the greatest number.

Explanation

Explanation

Vertical angles are equal, so set up an equation:

80° = 4x

Divide both sides by 4:

x = 80° / 4

x = 20°

Explanation

Profit = 5000 - 4000 = Rs. 1000

Profit % = (1000 / 4000) × 100 = 25%

Explanation

Total population = 6000

In service: 0.05 × 6000 = 300

In trade: 0.4 × 6000 = 2400

Labourers: 0.06 × 6000 = 360

Total employed = 300 + 2400 + 360 = 3060

Jobless = 6000 - 3060 = 2940

Explanation

A kite is a four-sided shape with two pairs of adjacent sides equal — a type of quadrilateral.

It does not have six sides like a hexagon or qualify as a true diamond in geometry.

Explanation

90 minutes is equivalent to 5400 seconds, and 54 seconds is 1% of that.

The calculation shows that 54 seconds is 1% of 90 minutes.

Explanation

To convert centimetres (cm) to millimetres (mm):

1 cm = 10 mm

7.5 cm × 10 = 75 mm

Explanation

Conversion of binary (101011) to decimal:

Write the binary digits with powers of 2:

1×2⁵ + 0×2⁴ + 1×2³ + 0×2² + 1×2¹ + 1×2⁰

= 32 + 0 + 8 + 0 + 2 + 1

= 43

So, binary (101011) = decimal 43.

Explanation

The number 0.00435 is less than 1, so the logarithm will have a negative characteristic.

Count digits after the decimal up to the first non-zero digit (2 digits: "00"), then apply:

Characteristic = – (number of zeros + 1) = – (2 + 1) = –3