The correct answer is Option 1 i.e. 40.

From the Bar graph:

The average number of students present on Monday in Class 7th and 8th together 

⇒ [36 + 44]/2 = 40

The correct answer is option 3 i.e. 3 < BC < 13.

In any triangle, the length of a side is always greater than the difference of the other 2 sides and less than the sum of the other 2 sides.

Here, AB = 8 cm and AC = 5 cm

So,

(8 – 5) < BC < (8 + 5)

3 < BC < 13

Hence, option 3 is correct

The correct answer is option 1 i.e. 16.

(0.25)⁴ × (0.125/0.5) × (0.5)⁸ = (0.5)^? × 0.25

⇒ (0.5)⁸ × {(0.5)³/0.5} × (0.5)⁸=(0.5)^? × (0.5)²

⇒ (0.5)^{(8 +3 -1 +8)} = (0.5)^{(? + 2)}

⇒18 = ? + 2

⇒ ? = 16

The correct answer is Option 1 i.e. 2835 cm².

The breadth of a rectangular plot is 40% more than its length

Difference between the breadth and the length of that rectangle = 18 cm

Let the length and breadth of the rectangle be l and b respectively

Area of the rectangle = lb

Bredth (b) = l + 40% of l = l + 2l/5 = 7l/5

⇒ b = 7l/5

ATQ - 

⇒ b - l = 18 cm

⇒ 7l/5 - l = 18

⇒ (7l - 5l)/5 = 18

⇒ 2l = 90

⇒ l = 45 cm

b = 7l/5 = 7(45)/5 = 63 cm

Area of the rectangle = lb = 45(63) = 2835 cm²

The correct answer is option 4 i.e. None of these.

4y7858x4 is divisible by 24, so it will be divisible by 8 and 3.

Divisibility rule of 8: The last three numbers are zero or divisible by 8, the whole number is divisible by 8.

8x4 is divisible by 8, x can be 2 or 6.

If we put x = 6,

4y785864 is divisible by 3.

⇒ 4 + y + 7 + 8 + 5 + 8 + 6 + 4 is divisible by 3, y can be 0.

Hence xy = 0

The lowest possible value will be 0.

The correct answer is option 2 i.e. -3/2

tan 210° = tan (180° + 30°) = tan 30° = 1/√3

cot 120° = cot (180° - 60°) = - cot 60° = -1/√3

sec 240° = sec (180° + 60°) = - sec 60° = -2

sin 150° = sin (180° - 30°) = sin 30° = 1/2

⇒ tan 210° + cot 120° + sec 240° + sin 150° = 1/√3 – 1/√3 – 2 + 1/2

⇒ -3/2

The correct answer is option 3 i.e. -278.

a = 3 and b = -5

⇒ 11a³ - 2b³ + 5a²b - 8ab²

⇒ 11(3)³ - 2(-5)³ + 5(3)²(-5) - 8(3)(-5)²

⇒ 297 + 250 - 225 - 600

⇒ 547 - 825

⇒ -278

The correct answer is option 3 i.e. -278.

a = 3 and b = -5

⇒ 11a³ - 2b³ + 5a²b - 8ab²

⇒ 11(3)³ - 2(-5)³ + 5(3)²(-5) - 8(3)(-5)²

⇒ 297 + 250 - 225 - 600

⇒ 547 - 825

⇒ -278

The correct answer is option 3 i.e. 7.

According to question,

Cost price of each apple = 224 ÷ 40 = Rs. 5.60

Selling price of each apple when selling at 25% profit = 5.60 × 1.25 = Rs. 7

So, the man should sell 49 ÷ 7 = 7 apples at Rs. 49 to earn 25% profit.

The correct answer is Option 2 i.e. 5%.

Increase in rate of articles = + 20%

Decrease in sale of an article = - 12.5%

Revenue = Price × Sale

Let, the initial price of an article = 5x

The new price of an article = 6x

Let, the initial sale of an article = 8y

New sale of an article = 7y

Initial revenue = 40xy

New revenue = 42xy

Change in revenue = New revenue - initial revenue = 2xy

Percentage Increase in revenue = (change in revenue/initial revenue) × 100

Percentage change in revenue = (2xy/40xy) × 100 = 5%