Question : If A is greater than B by 7, B is greater than C by 16, and A + B + C is 255, then the value of 3A + C – 4B is:
Option 1: 5
Option 2: 10
Option 3: 8
Option 4: 4
Correct Answer: 5
Solution : According to the question, A = B + 7 B = C + 16 Then, C = B – 16 Putting the value of A and C in the given equation A + B + C = 255 ⇒ (B + 7) + B + (B – 16) = 255 ⇒ 3B – 9 = 255 ⇒ 3B = 255 + 9 ⇒ 3B = 264 ⇒ B = $\frac{264}{3}$ = 88 Since A = B + 7 = 88 + 7 = 95 And C = B – 16 = 88 – 16 = 72 Now value of 3A + C – 4B = 3(95) + 72 – 4(88) = 285 + 72 – 352 = 357 – 352 = 5 Hence, the correct answer is 5.
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Question : Directions: In a certain code language, RIVER is written as 10–3–5–2–10 then how will PETROL be written in the same code language?
Option 1: 13–5–8–9–4–15
Option 2: 12–2–8–10–13–15
Option 3: 11–2–7–10–13–16
Option 4: 12–2–8–10–4–16
Question : If $3A=5B$, what is the value of $\frac{A+B}{B}$?
Option 1: $\frac{8}{3}$
Option 2: $\frac{8}{5}$
Option 3: $\frac{5}{8}$
Option 4: $\frac{5}{3}$
Question : If $(\frac{x}{y})^{5a-3}=(\frac{y}{x})^{17-3a}$, then what is the value of $a$?
Option 1: –7
Option 2: –5
Option 3: 0
Option 4: 3
Question : If $\sqrt{0.04\times 0.4\times a}=0.004\times 0.4\times \sqrt{b},$ then the value of $\frac{a}{b}$ is:
Option 1: $16\times 10^{-3}$
Option 2: $16\times 10^{-4}$
Option 3: $16\times 10^{-5}$
Option 4: $16 \times 10^{-6}$
Question : If $a=331, b=336$ and $c=–667$, then the value of $a^3+b^3+c^3–3abc$ is:
Option 1: 1
Option 2: 63
Option 3: 3
Option 4: 0
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