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ESE 2021 Non Technical Quiz 21

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Question 1

If a polynomial is positive for x > 0 and the area of the region bounded by p(x), the x axis & the vertical lines x = 0 & x = k is , then the polynomial p(x) is

Question 2

In December 2020, India's first hypersonic wind tunnel test facility was inaugurated in which of the following cities of India?

Question 3

The HCF and LCM of two numbers are 13 and 715, respectively. How many such pairs are possible?

Question 4

The State Government of Madhya Pradesh has decided to introduce a new brand called "Raag-Bhopali" to give a new international identity to which of the following?

Question 5

A fix faced dice is so biased that when thrown, it is twice as likely to show on even number than an odd number. If it is thrown thrice, The probability that sum of the numbers appeared is odd is

Question 6

A mixture of two liquids X and Y in the ratio 1:6 is present in a tank. When 16L of the mixtures is taken out and 16L of liquid X is poured in the tank, this ratio becomes 3:2. Find the final quantity of liquid X contained in the tank.

Question 7

Which International organization has launched the ‘State of the Education Report for India 2020: Technical and Vocational Education and Training (TVET)'?

Question 8

In the Taylor series expansion of exp(x) + sin(x) about the point x = π, the coefficient of (x – π)2 is

Question 9

There are four pipes attached to a cistern pipes A, B, C can fill it in 22.5 hrs, 40 hrs and 72 hrs respectively while D is drain pipe which can empty it in 90 hrs. All pipes are opened together. But A is closed after 3 hrs, B is also closed after 2 more hrs and D is closed 4 hrs before the cistern is filled. Find in how much time the cistern got filled.

Question 10

Recently, Ministry of Sports, Government of India has recognized which of the following as a competitive sport?
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Aug 3ESE & GATE EC