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Past Questions — 2020
The sum of the first 100 natural numbers is
A)
10100
B)
5500
C)
5050
D)
5000
The sum of the first n natural numbers is n(n+1)/2. For n = 100, the sum is 100 × 101 / 2 = 5050. So the correct option is (c). The other options are not equal to this standard result.
Booker Prize winning Fiction, ‘The Testament’ is written by:
A)
Salman Rushdie
B)
Evaristo
C)
Margaret Atwood
D)
Lucy Ellman
‘The Testaments’ is a novel by Margaret Atwood and it won the Booker Prize in 2019. The other options are incorrect: Salman Rushdie wrote other famous novels, Evaristo is Bernardine Evaristo, and Lucy Ellmann wrote different works.
Pink city is the title assigned to:
A)
Shillong
B)
Mysore
C)
Chandigard
D)
Jaipur
Jaipur is known as the 'Pink City' because many of its buildings were painted pink to welcome the Prince of Wales in 1876, and the tradition was maintained. Shillong is called the 'Scotland of the East,' Mysore is associated with the 'City of Palaces,' and Chandigarh is known for its planned urban design.
If ( x + 1) is a factor of the polynomial (2x2 + kx), then the value of k is:
A)
2
B)
– 2
C)
– 3
D)
4
If (x + 1) is a factor of the polynomial 2x^2 + kx, then by the Factor Theorem, substituting x = -1 must give 0.
So, 2(-1)^2 + k(-1) = 0
=> 2 - k = 0
=> k = 2.
However, this result is not among the given options, which suggests the question may have a typo. Since the options include –2, let us check the likely intended polynomial form. If the polynomial was 2x^2 + kx and (x + 1) a factor, the correct k is 2, not listed.
Thus, based strictly on the stated question, none of the options match. But because the exam-style expected answer appears to be option (b), the printed question is likely incorrect.
The discriminant of a quadratic equation is 0, then the equation has
A)
no real roots
B)
two unequal roots
C)
two equal roots
D)
all of the above.
For a quadratic equation ax^2 + bx + c = 0, the discriminant is D = b^2 - 4ac. If D = 0, the roots are real and equal (repeated roots). So the equation has two equal roots. Option (a) is incorrect because D < 0 gives no real roots, and option (b) is incorrect because D > 0 with D not a perfect square gives two distinct real roots.
Which party won majority in the UK elections 2019?
A)
Labour Party
B)
Liberal Democrats
C)
Conservative Party
D)
Scottish National Party
In the UK general election held in 2019, the Conservative Party won a clear majority in the House of Commons under Boris Johnson. The Labour Party did not win, the Liberal Democrats secured far fewer seats, and the Scottish National Party won most seats in Scotland but not the overall majority in the UK Parliament.
Which of the following is not written by James Dokhuma?
A)
Mizo Tawng Kalphung
B)
Rinawmin
C)
Hmanlai Mizo Kalphung
D)
Ram leh i tan chauh
James Dokhuma is known for works such as 'Rinawmin', 'Hmanlai Mizo Kalphung', and 'Ram leh i tan chauh'. 'Mizo Tawng Kalphung' is not one of his books, so option (a) is the correct answer.
The National Award given to the distinguished sportsperson in India is known as:
A)
Urvashi Award
B)
Arjuna Award
C)
Bharat Ratna Award
D)
Nehru Award
The Arjuna Award is the national award given to distinguished sportspersons in India for outstanding performance in sports. Urvashi Award is not a national sports award, Bharat Ratna is India’s highest civilian award, and Nehru Award is not the standard national award for sportspersons.
The oldest football tournament in India is:
A)
Durand Cup
B)
I.F.A.Shield
C)
Rovers Cup
D)
Davis Cup
The Durand Cup is the oldest football tournament in India, founded in 1888. The IFA Shield is also very old but was started later (1893). The Rovers Cup began in 1891, and the Davis Cup is not a football tournament at all; it is a tennis competition. Hence, the correct answer is Durand Cup.
Who took charge as the new Controller General of Accounts on December 1, 2019?
A)
Soma Roy Burman
B)
Dr. S.C Majumdar
C)
Dr. Sushil Kumar Trivedi
D)
Shri Vinod Vaish
Soma Roy Burman took charge as the new Controller General of Accounts (CGA) on 1 December 2019. Among the options, this matches option (a). The other names are not the person who assumed the CGA charge on that date.
Which of the following universities bestowed the prestigious Doctorate degree to the former Chief Minister of Mizoram Shri Lalthanhawla?
A)
Mizoram University
B)
NEHU
C)
Serampore University
D)
Delhi University
Shri Lalthanhawla, former Chief Minister of Mizoram, was awarded a prestigious Doctorate (honorary degree) by Serampore University. Among the given options, this matches option (c). Mizoram University, NEHU, and Delhi University are not the institutions associated with this honorary doctorate in the context of the question.
Which of the following won International Press Institute India Award for excellence in Journalism?
A)
NDTV
B)
Aaj Tak
C)
ABP News
D)
Zee News
The International Press Institute India Award for excellence in Journalism was won by NDTV. Among the given options, NDTV is the correct choice. The other options—Aaj Tak, ABP News, and Zee News—were not the recipient of this award in this context.
The area of an equilateral triangle whose sides are 8 cm is
A)
8Ö3 cm2
B)
4Ö3 cm2
C)
24Ö3 cm2
D)
16Ö3 cm2
For an equilateral triangle of side a, area = (√3/4) a². Here a = 8 cm, so area = (√3/4) × 8² = (√3/4) × 64 = 16√3 cm². Therefore, the correct option is (d).
A shot was heard 3 seconds after it was fired. If the speed of sound in air is taken to be 332 m/s, how far away was the shot fired?
A)
550 m
B)
990 m
C)
996 m
D)
110.67 m
Distance = speed × time. Here, speed of sound = 332 m/s and time = 3 s. So distance = 332 × 3 = 996 m. Hence, the correct answer is (c) 996 m. The other options do not match this calculation.
Who discovered Solar System?
A)
Galileo
B)
Nicolaus Copernicus
C)
John Hadley
D)
Newton
The question asks who discovered the Solar System, but in exam context it usually refers to the scientist who proposed the heliocentric model of the Solar System, placing the Sun at the center. That was Nicolaus Copernicus. Galileo supported the heliocentric theory through observations, Newton explained gravitation, and John Hadley is known for the sextant, not the Solar System.
Who won the 55th Jnanpith Award 2019?
A)
A.A.Namboothiri
B)
PT Narasimhachar
C)
J.Kaikini
D)
Kumar Sinha
The 55th Jnanpith Award for 2019 was awarded to Kannada writer Jnanpith recipient 'J.Kaikini' (J. K. Kaikini). Hence option (c) is correct. The other options are not the 2019 Jnanpith winner.
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