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CAT Algebra questions from Linear equations and Quadratic equations that appear in the Quantitative Aptitude section of the CAT Exam consists of concepts from Equations and Algebra. Get as much practice as you can in these two topics because the benefits of being good at framing equations can be enormous and useful in other CAT topics as well. In CAT Exam, one can generally expect to get 1~2 questions from Linear Equations and Quadratic Equations. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

Analog Electronics

Q1.

The power input to an amplifier is 2μW and the output power of the amplifier is 20m Watts. The power gain of the amplifier is _____________ dB.

Explanation

$P o w e r g a i n = 10 \log (\frac{P_{o u t}}{P_{i n}}) d B = 10 \log (\frac{20 \times 10^{- 3}}{2 \times 10^{- 6}}) d B = 40 d B$

Analog Electronics

Q2.

Consider the circuit shown in figure. If the β of the transistor is 30 and I_CBO is 20nA and the input voltage is +5V, the transistor would be operating in

saturation region

active region

breakdown region

cut-off region

: min

Explanation

Assume BJT is in active Region and we neglect I_CBO and drawing Thevenin's equivalent at input side

$V_{t h} = \frac{- 12 \times 15}{115} + \frac{5 \times 100}{115} = 2.78 V R_{t h} = (15 | | 100) = \frac{15 \times 100}{115} = 13 k Ω I_{C} = β I_{b} I_{b} = \frac{V_{t h} - V_{B E}}{R_{t h}} B u t I_{b} = \frac{2.78 - 7}{13 \times 10^{3}} = 0.16 m A$

Using I_b in equivalent (i) with β = 30

I_C = 4.8mA

$B u t I_{c (s a t)} = \frac{V_{C C} - V_{C E s a t}}{R_{C}} B u t I_{c (s a t)} = \frac{12 - . 2}{2.2 k} = 5.36 m A a s I_{c (s a t)} > I_{c a c t i v e}$

BJT is in active Region.