Deductive and Inductive Reasoning - Logic - General Aptitude (GA) Previous Year Questions

1

2014 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2014 [Session 1]

Read the statements:
All women are entrepreneurs.
Some women are doctors.
Which of the following conclusions can be logically inferred from the above statements?

A

All women are doctors

B

All doctors are entrepreneurs

C

All entrepreneurs are women

D

Some entrepreneurs are doctors

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2

2014 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2014 [Session 1]

For submitting tax returns, all resident males with annual income below Rs 10 lakh should fill up Form P and all resident females with income below Rs 8 lakh should fill up Form Q. All people with incomes above Rs 10 lakh should fill up Form R, except non residents with income above Rs 15 lakhs, who should fill up Form S. All others should fill Form T. An example of a person who should fill Form T is

A

A resident male with annual income Rs 9 lakh

B

A resident female with annual income Rs 9 lakh

C

A non-resident male with annual income Rs 16 lakh

D

A non-resident female with annual income Rs 16 lakh

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3

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 1]

The Boolean expression \(F(X,Y,Z) = \overline{X}\ Y\ \overline{Z} + X\ \overline{Y}\ \overline{Z} + X\ Y\ \overline{Z} + X\ Y\ Z\) converted into the canonical product of sum (POS) form is

A

\((X+Y+Z)(X+\overline{Y}+Z)(X+\overline{Y}+\overline{Z})(\overline{X}+Y+\overline{Z})\)

B

\((X+\overline{Y}+Z)(\overline{X}+Y+\overline{Z})(\overline{X}+\overline{Y}+Z)(\overline{X}+\overline{Y}+\overline{Z})\)

C

\((X+Y+\overline{Z})(X+\overline{Y}+\overline{Z})(X+\overline{Y}+Z)(\overline{X}+\overline{Y}+\overline{Z})\)

D

\((X+\overline{Y}+\overline{Z})(\overline{X}+Y+\overline{Z})(\overline{X}+\overline{Y}+Z)(X+Y+Z)\)

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4

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 1]

All the logic gates shown in the figure have a propagation delay of 20 ns. Let \(A = C = 0\) and \(B = 1\) until time \(t = 0\). At \(t = 0\), all the inputs flip (i.e., \(A = C = 1\) and \(B = 0\)) and remain in that state. For \(t > 0\), output \(Z = 1\) for a duration (in ns) of

Check answer

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5

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 1]

A 3-input majority gate is defined by the logic function \(M(a,b,c) = ab + bc + ca\). Which one of the following gates is represented by the function \(M(M(a,b,\overline{c}), M(a,\overline{b},c), c)\)?

A

3-input NAND gate

B

3-input XOR gate

C

3-input NOR gate

D

3-input XNOR gate

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6

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 2]

Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.
Statements:
I. All film stars are playback singers.
II. All film directors are film stars.
Conclusions:
I. All film directors are playback singers.
II. Some film stars are film directors.

A

Only conclusion I follows.

B

Only conclusion II follows.

C

Neither conclusion I nor II follows.

D

Both conclusions I and II follow.

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7

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 2]

Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the Chief Minister last year, asking him to allocate more funds to support arts education in schools. However, no such increase has been announced in this year's Budget. The artists expressed their deep anguish at their request not being approved, but many of them remain optimistic about funding in the future.

Which of the statement(s) below is/are logically valid and can be inferred from the above statements?

(i) The artists expected funding for the arts to increase this year.
(ii) The Chief Minister was receptive to the idea of increasing funding for the arts.
(iii) The Chief Minister is a prominent artist.
(iv) Schools are giving less importance to arts education nowadays.

A

(iii) and (iv)

B

(i) and (iv)

C

(i), (ii) and (iv)

D

(i) and (iii)

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8

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 2]

In the figure shown, the output Y is required to be Y = A B + \bar{C} \bar{D}. The gates G1 and G2 must be, respectively,

A

NOR, OR

B

OR, NAND

C

NAND, OR

D

AND, NAND

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9

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 2]

A mod-n counter using a synchronous binary up-counter with synchronous clear input is shown in the figure. The value of n is _____.

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10

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 2]

A function of Boolean variables X, Y and Z is expressed in terms of the min-terms as

F(X, Y, Z) = Σ(1, 2, 5, 6, 7)

Which one of the product of sums given below is equal to the function F(X, Y, Z)?

A

(X̄ + Ȳ + Z̄) · (X̄ + Y + Z) · (X + Ȳ + Z̄)

B

(X + Y + Z) · (X + Ȳ + Z̄) · (X̄ + Y + Z)

C

(X̄ + Ȳ + Z̄) · (X̄ + Y + Z̄) · (X + Y + Z̄) · (X + Y + Z̄) · (X + Y + Z̄)

D

(X + Y + Z̄) · (X̄ + Y + Z) · (X̄ + Ȳ + Z̄) · (X̄ + Y + Z̄) · (X̄ + Y + Z̄)

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11

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 2]

A 1-to-8 demultiplexer with data input D_in, address inputs S₀, S₁, S₂ (with S₀ as the LSB) and \(\overline{Y}_0\) to \(\overline{Y}_7\) as the eight demultiplexed outputs, is to be designed using two 2-to-4 decoders (with enable input \(\overline{E}\) and address inputs A₀ and A₁) as shown in the figure. D_in, S₀, S₁ and S₂ are to be connected to P, Q, R and S but not necessarily in this order. The respective input connections to P, Q, R, and S terminals should be

A

S₂, D_in, S₀, S₁

B

S₁, D_in, S₀, S₂

C

D_in, S₀, S₁, S₂

D

D_in, S₂, S₀, S₁

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12

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 3]

Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the Chief Minister last year, asking him to allocate more funds to support arts education in schools. However, no such increase has been announced in this year's Budget. The artists expressed their deep anguish at their request not being approved, but many of them remain optimistic about funding in the future.

Which of the statement(s) below is/are logically valid and can be inferred from the above statements?

(i) The artists expected funding for the arts to increase this year.
(ii) The Chief Minister was receptive to the idea of increasing funding for the arts.
(iii) The Chief Minister is a prominent artist.
(iv) Schools are giving less importance to arts education nowadays.

(A) (iii) and (iv)    (B) (i) and (iv)    (C) (i), (ii) and (iv)    (D) (i) and (iii)

A

(iii) and (iv)

B

(i) and (iv)

C

(i), (ii) and (iv)

D

(i) and (iii)

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13

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 3]

The circuit shown consists of J-K flip-flops, each with an active low asynchronous reset (R̅d input). The counter corresponding to this circuit is

A

a modulo-5 binary up counter

B

a modulo-6 binary down counter

C

a modulo-5 binary down counter

D

a modulo-6 binary up counter

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14

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 3]

In the circuit shown, diodes D₁, D₂ and D₃ are ideal, and the inputs E₁, E₂ and E₃ are “0 V” for logic ‘0’ and “10 V” for logic ‘1’. What logic gate does the circuit represent?

A

3-input OR gate

B

3-input NOR gate

C

3-input AND gate

D

3-input XOR gate

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15

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 3]

Which one of the following 8085 microprocessor programs correctly calculates the product of two 8-bit numbers stored in registers B and C?

A

MVI A, 00H
JNZ LOOP
CMP C
LOOP DCR B
HLT

B

MVI A, 00H
CMP C
LOOP DCR B
JNZ LOOP
HLT

C

MVI A, 00H
LOOP ADD C
DCR B
JNZ LOOP
HLT

D

MVI A, 00H
ADD C
JNZ LOOP
LOOP INR B
HLT

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16

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 3]

A three bit pseudo random number generator is shown. Initially the value of output Y = Y_2 Y_1 Y_0 is set to 111. The value of output Y after three clock cycles is

A

000

B

001

C

010

D

100

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17

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 3]

A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown. Which one of the following statements is TRUE?

A

Gate 1 is a universal gate.

B

Gate 2 is a universal gate.

C

Gate 3 is a universal gate.

D

None of the gates shown is a universal gate.

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18

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 3]

An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the circuit fails to work as desired. The SR latch can be made functional by changing

A

NOR gates to NAND gates

B

inverters to buffers

C

NOR gates to NAND gates and inverters to buffers

D

5 V to ground

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19

2015 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2015 [Session 3]

In the circuit shown, assume that the opamp is ideal. If the gain (v_o / v_in) is -12, the value of R (in kΩ) is _____.

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20

2016 · General Aptitude (GA) · Logic · Deductive and Inductive Reasoning

Electronics & Communication Engineering (EC) 2016 [Session 3]

The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating 70% of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rabies.
Which of the following can be logically inferred from the above sentences?

A

The number of people in India infected with rabies is high.

B

The number of people in other parts of the world who are infected with rabies is low.

C

Rabies can be eradicated in India by vaccinating 70% of stray dogs.

D

Stray dogs are the main source of rabies worldwide.

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