Question
The downstream speed of a boat is
25% more than its upstream speed. The boat takes 3.2 hours to travel 57.6 km upstream. Which of the following statement(s) is or are true according to the information? I. Speed of stream is 3 km/h II. Time required to cover 108 km in still water is 4 hours III. Time needed to go 72 km downstream and return upstream is 7.2 hoursSolution
ATQ: Upstream speed = 57.6 / 3.2 = 18 km/h Downstream speed = (5/4) × 18 = 22.5 km/h Statement I: Speed of stream = (1/2) × (22.5 − 18) = 2.25 km/h → ❌ False Statement II: Speed in still water = (1/2) × (22.5 + 18) = 20.25 km/h Time = 108 / 20.25 ≈ 5.33 hours → ❌ False Statement III: Time = (72 / 22.5) + (72 / 18) = 3.2 + 4 = 7.2 hours → ✅ True ✅ Only statement III is true
If ‘K’ means (÷), ‘L’ means (x), ‘M’ means (+), and ‘N’ means (-), then what is the value of the expression:
144 K 12 L 3 M 1...
If in a certain code language ‘+’ represents ‘×’, ‘–’ represents ‘+’, ‘×’ represents ‘÷’ and ‘÷’ represents ‘–’....
If ‘P’ means (×), ‘Q’ means (÷), ‘R’ means (-), and ‘S’ means (+), then what is the value of the expression:
54 Q 6 S 14 P 14 R...
Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
[(345 + 255) ÷ 30 X 12 ...
If 6$144 = 24, 8$232 = 29 then what is the value of 5$110 = ?
Select the different combination of mathematical signs that can sequentially replace the # sign and balance the given equation.
63 # 9 # 52 # 10 # 4 = 19
What will be the value of the given expression after the following interchanges?
Expression: 84 ÷ 11 - 15 X 14 + 75
Interchanges: Sign: '...
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
60 * 48 * 36 * 6 * 15 * 53
After interchanging the given two signs, what will be the value of the given equation? + and ÷
144 ÷ 12 + 36 × 3 - 18
Which two signs should be interchanged to make the following equation correct?
36 – 36 ÷ 9 + 8 × 4 = 8
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