Numerical Computation and Estimation - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2016 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2016

The binary operation □ is defined as \(a \square b = ab+(a+b)\), where \(a\) and \(b\) are any two real numbers. The value of the identity element of this operation, defined as the number \(x\) such that \(a \square x = a\), for any \(a\), is ______.

A

0

B

1

C

2

D

10

Open complete paper

2

2018 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2018

For \(0 \leq x \leq 2\pi\), \(\sin x\) and \(\cos x\) are both decreasing functions in the interval _______.

A

\((0, \frac{\pi}{2})\)

B

\((\frac{\pi}{2}, \pi)\)

C

\((\pi, \frac{3\pi}{2})\)

D

\((\frac{3\pi}{2}, 2\pi)\)

Open complete paper

3

2018 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2018

An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?

A

72

B

73

C

74

D

75

Open complete paper

4

2025 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2025

The sum of the following infinite series is:
\[ \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \cdots \]

A

\(\pi\)

B

\(1 + e\)

C

\(e - 1\)

D

\(e\)

Open complete paper

5

2025 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2025

Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?

A

64 \(\frac{6}{11}\)

B

66 \(\frac{5}{13}\)

C

65 \(\frac{5}{11}\)

D

66 \(\frac{6}{13}\)

Open complete paper

6

2012 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Biotechnology (BT) 2012

The cost function for a product in a firm is given by \(5q^2\), where \(q\) is the amount of production. The firm can sell the product at a market price of ₹ 50 per unit. The number of units to be produced by the firm such that the profit is maximized is

A

5

B

10

C

15

D

25

Open complete paper