Explanation

Explanation

The pattern in the series is a decrease of 4, 8, 4, 2, ... (alternating between subtracting 4 and 8, then decreasing the subtraction by 2 each time).

Therefore, the next number in the series would be:

• 64 - 16 (4 + 8 + 4) = 48
• 48 - 8 (4 + 4) = 40
• 40 - 4 (4) = 36
• 36 - 2 (2) = 34
• 34 - 1 (1) = 33

So, the correct answer is: 33

Explanation

• 3 + 2 = 5
• 5+ 2 = 7
• 7+ 3= 10
• 10 + 2 = 12
• 12 + 2 = 14
• 14+ 10 = 24
• 24 + 2 = 26
• 26 + 2 = 28
  

Explanation

Given:

Increment in number = 20% of the number

Decrement in number = 20% of the new number

Concept used:

Net increase or decrease percent = {(Original number or Final number) - (Final number or original number) ÷ Original number} × 100

Calculation:

Let the original number be 100

When the number is increased by 20%

New Number = 100 + 20% of 100

⇒ 100 + 20

⇒ 120

Now, the number is decreased by 20%

Final number = New number – 20% of new number

⇒ 120 – 20% of 120

⇒ 120 – 24

⇒ 96

∴ Net Decrease in percentage = { (100 – 96) / 100} × 100

⇒ {4/100} × 100

⇒ 4%

∴ The net decrease percentage is 4%

Explanation

1 km = 0.62137119 miles

0.62137119 miles ∼ 0.62 miles

∴ 1 km = 0.62 miles

Additional Information

Miles to Kilometres = Miles × 8/5 (Approximately)

Kilometers to Miles = Km × 5/8 (Approximately)

Explanation

Cost of 15 toys = Rs. 234

Cost of 1 toy = Rs. 234 ÷ 15 = Rs. 15.60

Cost of 35 toys = Rs. 15.60 x 35 = Rs. 546

So, the correct answer is: Rs. 546

Explanation

The formula is A * b / A + B

= 12 * 24 / 12 + 24

= 288 / 36

= 8

Explanation

Let's solve for x:

6 + 5x = 30 - x

Add x to both sides:

6 + 6x = 30

Subtract 6 from both sides:

6x = 24

Divide both sides by 6:

x = 24/6

x = 4

So, the correct answer is 4.

Explanation

48 → 45 (−3)

45 → 40 (−5)

40 → 33 (−7)

33 → 24 (−9)

Now continue the pattern: next difference should be −11

24 − 11 = 13

Explanation

3x-54 = 36

3x = 90

x = 30