Instruction
- Total number of questions : 20
- Time allotted : 30:00 Minutes:Seconds.
- Each question carry 1 mark, no negative marks.
- DO NOT refresh the page.
- All the best
Quantitative Aptitude [ Question No: 1 To 3 ] :
What is the measure of each interior angle of a regular hexagon?
Find the largest 4-digit number that is exactly divisible by 88.
What is two weeks from today?
Reasoning [ Question No: 4 To 9 ] :
Direction for [ Question No: 4 To 4 ] :
Study the following information carefully and answer the questions given below :
M,D, P, K, R, T and W are sitting around a circle facing the centre. D is second to the right of P, who is third to the right of K. T is third to the right of W, who is not an immediate neighbour of D. M is third to the left of R.
Who is on the immediate left of R?
Direction for [ Question No: 5 To 5 ] :
In each question below is given a statement followed by two assumptions numbered I and II. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.
Give answer
- (A) If only assumption I is implicit
- (B) If only assumption II is implicit
- (C) If either I or II is implicit
- (D) If neither I nor II is implicit
- (E) If both I and II are implicit.
Statement: The head of the organization congratulated the entire staff in his speech for their sincere effort to bring down the deficit and urged them to give their best for attaining a more profitable position in future.
Assumptions:
1. The employees may get motivated and maintain and if possible enhance their present level of work.
2. The employees may now relax and slow down in their day to day work as there is no immediate threat of huge deficit.
Direction for [ Question No: 6 To 6 ] :
Select the most appropriate alternative as the answer.
You are passing by a river and you know swimming. Suddenly, you hear the cry of a drowning child. You would :
Direction for [ Question No: 7 To 7 ] :
In each of the following questions, there is a certain relationship between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the words of the given pair bear.Choose the correct alternatives.
______ : festive :: funeral : somber
Ravi left home and cycled 10 km towards South, then turned right and cycled 5 km and then again turned right and cycled 10 km. After this he turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight?
A camera always has
General Awareness / General Knowledge (GK) [ Question No: 10 To 19 ] :
Who is the winner of 1st Indian Super League (Football) ?
In which year the 'North-East Frontier Agency 'was renamed as Arunachal Pradesh ?
What is the minimum completed age to be elected as the President of India?
The pigment responsible for photosynthesis in green plants is ________.
The United Nations declared 1993 as the International Year of-
The president can advance money to meet unforeseen expenses, pending authorization by Parliament, from
Engineering Mathematics [ Question No: 20 To 20 ] :
Let \(A\) be a \(3 \times 3\) real matrix having eigenvalues 1, 2, and 3. If \(B = A^{2} + 2A + I\), where \(I\) is the \(3 \times 3\) identity matrix, then the eigenvalues of \(B\) are
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 3 ] :
What is the measure of each interior angle of a regular hexagon?
Your Answer : (Not Answered)
Correct Answer : D
The formula for the measure of an interior angle of a regular n-sided polygon is \(\frac{(n-2) \times 180°}{n}\).
For a hexagon, n=6.
Angle = \(\frac{(6-2) \times 180°}{6} = \frac{4 \times 180°}{6} = 4 \times 30° = 120°\).
Find the largest 4-digit number that is exactly divisible by 88.
Your Answer : (Not Answered)
Correct Answer : A
The largest 4-digit number is 9999. To find the largest 4-digit number divisible by 88, we divide 9999 by 88 and find the remainder.
\(9999 \div 88\).
\(9999 = 113 \times 88 + 55\).
The remainder is 55. This means 9999 is 55 more than a multiple of 88. To get the required number, we subtract the remainder from 9999.
Required Number = \(9999 - 55 = 9944\).
What is two weeks from today?
Your Answer : (Not Answered)
Correct Answer : A
We know that the day repeats every 7 days, 14 days, 21 days,...
So if today is Monday, after 7 days it is again Monday, after 14 days again it is Monday.
Hence, after 2 weeks i.e, 14 days the day repeats and is the same day.
Reasoning [ Question No: 4 To 9 ] :
Direction for [ Question No: 4 To 4 ] :
Study the following information carefully and answer the questions given below :
M,D, P, K, R, T and W are sitting around a circle facing the centre. D is second to the right of P, who is third to the right of K. T is third to the right of W, who is not an immediate neighbour of D. M is third to the left of R.
Who is on the immediate left of R?
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: W
Facing the centre, each person’s left is the next seat clockwise and their right the next seat anticlockwise. Fix K, put P three seats to K’s right and D two to P’s right. Of the ways of placing W with T three seats to W’s right, only one keeps W away from D’s side, and M three to R’s left then falls into place. Clockwise the circle reads K → M → D → T → P → R → W.
R’s left is the next seat clockwise, and W occupies it. P is on R’s right.
Direction for [ Question No: 5 To 5 ] :
In each question below is given a statement followed by two assumptions numbered I and II. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.
Give answer
- (A) If only assumption I is implicit
- (B) If only assumption II is implicit
- (C) If either I or II is implicit
- (D) If neither I nor II is implicit
- (E) If both I and II are implicit.
Statement: The head of the organization congratulated the entire staff in his speech for their sincere effort to bring down the deficit and urged them to give their best for attaining a more profitable position in future.
Assumptions:
1. The employees may get motivated and maintain and if possible enhance their present level of work.
2. The employees may now relax and slow down in their day to day work as there is no immediate threat of huge deficit.
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: Only assumption I is implicit
Praising the staff and urging them on presupposes that such words move people to work - assumption I. Assumption II is about what will actually be achieved, which is the hope rather than the premise. Only I is implicit.
Direction for [ Question No: 6 To 6 ] :
Select the most appropriate alternative as the answer.
You are passing by a river and you know swimming. Suddenly, you hear the cry of a drowning child. You would :
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: dive into the river to save him.
You can swim, a child is drowning, and every second counts. Going in at once is the one course that may save the life; waiting for someone else, or looking for a diver, costs the time the child has not got.
Direction for [ Question No: 7 To 7 ] :
In each of the following questions, there is a certain relationship between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the words of the given pair bear.Choose the correct alternatives.
______ : festive :: funeral : somber
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: soiree
The relation is occasion : its character. A funeral is sombre; a soirée - an evening party - is festive. A eulogy is a speech given at the funeral rather than an occasion in itself.
Ravi left home and cycled 10 km towards South, then turned right and cycled 5 km and then again turned right and cycled 10 km. After this he turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: 15 km
The southward and northward legs cancel - 10 south and then 10 north - leaving him \( 5 + 10 = 15 \) km west of home. So he must cycle 15 km to get back.
A camera always has
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Lens
The question asks what is always present, not what usually is. A camera forms an image, and only a lens can do that. Reels belong to film cameras, the flash is an accessory, and a stand is used only sometimes.
General Awareness / General Knowledge (GK) [ Question No: 10 To 19 ] :
Who is the winner of 1st Indian Super League (Football) ?
Your Answer : (Not Answered)
Correct Answer : B
The first Indian Super League was won by Atletico de Kolkata.
The inaugural season of the Indian Super League was played in late 2014. Atletico de Kolkata beat Kerala Blasters 1-0 in the final in December 2014 to become the first champions.
Kerala Blasters were the losing finalists. Mumbai City FC and FC Pune City also took part in that first season but did not reach the final.
In which year the 'North-East Frontier Agency 'was renamed as Arunachal Pradesh ?
Your Answer : (Not Answered)
Correct Answer : C
NEFA was renamed Arunachal Pradesh in 1972.
Under the North-Eastern Areas (Reorganisation) Act, 1971, the North-East Frontier Agency became the Union Territory of Arunachal Pradesh on 20 January 1972. It became a full state in 1987.
1971 is the year the Act was passed, not the year it took effect, and 1970 and 1974 mark no change in its name.
Arunachal Pradesh, Mizoram and Goa became full states in 1987.
What is the minimum completed age to be elected as the President of India?
Your Answer : (Not Answered)
Correct Answer : C
The minimum age to be elected President of India is 35 years, under Article 58 of the Constitution, together with Indian citizenship and eligibility to be a member of the Lok Sabha. Twenty-five years is the minimum age for the Lok Sabha, 30 years is the age for the Rajya Sabha and Vice President is 35, and 40 is not a requirement.
The pigment responsible for photosynthesis in green plants is ________.
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Chlorophyll
Chlorophyll absorbs light chiefly in the blue and red parts of the spectrum and reflects green, which is why leaves look green. Carotene is an accessory pigment that passes captured energy on to chlorophyll.
Your Answer : (Not Answered)
Correct Answer : A
The Amending Act was enacted in 1897.
Amending Acts of this kind repeal obsolete enactments and correct errors in the statute book without changing substantive law; the 1897 Act was one of a regular series of such measures.
Your Answer : (Not Answered)
Correct Answer : C
Conduction electrons are more mobile because they collide less frequently.
An electron moves through the conduction band, which is largely empty, so its mean free path between scattering events is long. A hole moves by successive electrons hopping into it within the crowded valence band, so its effective mass is larger and its progress slower - in silicon, electron mobility is about three times hole mobility.
Your Answer : (Not Answered)
Correct Answer : B
Jason Gillespie was known as Dizzy, after the jazz trumpeter Dizzy Gillespie.
He took 259 Test wickets for Australia, and in his last Test made an unbeaten 201 as a nightwatchman - the highest score by a nightwatchman in Test history.
The United Nations declared 1993 as the International Year of-
Your Answer : (Not Answered)
Correct Answer : B
1993 was the International Year of the World's Indigenous People.
Its theme was 'Indigenous people - a new partnership', and it led to the First International Decade of the World's Indigenous People, 1994–2004.
Your Answer : (Not Answered)
Correct Answer : A
Spodosols develop on sandy parent material, typically the coarse glacial and outwash deposits of cool northern forests. Sand drains freely, so acid water can leach iron and aluminium out of the upper horizon and deposit them below.
Aridisols form in deserts, Mollisols under grassland, and Alfisols and Ultisols on finer material.
The president can advance money to meet unforeseen expenses, pending authorization by Parliament, from
Your Answer : (Not Answered)
Correct Answer : B
Unforeseen expenditure is met from the Contingency Fund of India, pending authorisation by Parliament.
It is placed at the disposal of the president and stands at ₹30,000 crore. The Consolidated Fund, by contrast, cannot be drawn on at all without a parliamentary appropriation.
Engineering Mathematics [ Question No: 20 To 20 ] :
Let \(A\) be a \(3 \times 3\) real matrix having eigenvalues 1, 2, and 3. If \(B = A^{2} + 2A + I\), where \(I\) is the \(3 \times 3\) identity matrix, then the eigenvalues of \(B\) are
Your Answer : (Not Answered)
Correct Answer : A
The eigenvalues of \(B\) are 4, 9, 16.
If \(Av = \lambda v\), then \(A^{2}v = \lambda^{2}v\), so any polynomial in \(A\) has the same eigenvector with the polynomial applied to the eigenvalue:
\[ Bv = (\lambda^{2} + 2\lambda + 1)v = (\lambda + 1)^{2} v \]
For \(\lambda = 1, 2, 3\) this gives \(2^{2}, 3^{2}, 4^{2} = 4, 9, 16\).
1, 2, 3 are the eigenvalues of \(A\) itself, 1, 4, 9 are those of \(A^{2}\) alone, and 4, 16, 25 squares \(\lambda + 1\) wrongly shifted for the last two.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20