Question : If the HCF of 45 and 55 is expressible in the form of 55 × 5 + 45m, then what is the value of m?
Option 1: –6
Option 2: 5
Option 3: 6
Option 4: –5
Correct Answer: –6
Solution : HCF of 45 and 55 = 5 5 = 55 × 5 + 4m ⇒ 5 = 275 + 45m ⇒ 5 – 275 = 45m ⇒ – 270 = 45m $\therefore$ m $=\frac{-270}{45}=-6$ Hence, the correct answer is $-6$.
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Question : If (48 ÷ 72 × 3) – [15 ÷ 8 × (40 – 32) – 10] + 2P = 6 ÷ 2, then find the value of P?
Option 1: 3
Option 2: 4
Option 3: 2
Option 4: 1
Question : Directions: If + means ÷, – means +, × means – and ÷ means ×, what will be the value of the following e×pression? [{(14 × 6) – (4 ÷ 3)} + (6 – 4)] ÷ 3 = ?
Option 2: 6
Option 3: 1
Option 4: 9
Question : Directions: If + means –, – means ×, × means ÷ and ÷ means +, then what will be the value of the following expression? 25 – 2 + 32 × 8 ÷ 4 = ?
Option 1: 51
Option 2: 45
Option 3: 55
Option 4: 50
Question : Directions: If × stands for +, + stands for ÷, – stands for × and ÷ stands for –, then find the value of the given equation. 76 ÷ 5 – 6 + 3 × 4 = ?
Option 1: 46
Option 2: 70
Option 3: 62
Option 4: 65
Question : If $\sqrt5=2.236$, then what is the value of $\frac{\sqrt5}{2}+\frac{5}{3\sqrt5}-\sqrt{45}$?
Option 1: – 8.571
Option 2: – 4.845
Option 3: – 2.987
Option 4: – 6.261
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