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 5 ] :
The least number which must be added to 3931 to make it a perfect square, is
Three mixtures of volumes 3 litres, 4 litres and 5 litres, of milk and water, respectively, with \(\frac{4}{5}\) parts of milk, \(\frac{3}{4}\) parts of milk and \(\frac{5}{7}\) parts of milk, are mixed. What should be the quantity of pure milk in litres to be added to the mixture to have \(\frac{6}{7}\) part milk in the resulting mixture?
The digits of a two-digit number add up to 9, and reversing the digits increases the number by 27. The number is:
A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
\((112 \times 5^{4}) = ?\)
Reasoning [ Question No: 6 To 9 ] :
Direction for [ Question No: 6 To 6 ] :
A word arrangement machine when given an input line of words rearranges then following a particular rule. The following is an illestration of Input and re-arrangement.
Input : ant rose one wide tire infall pen un dice eat
Step I : un ant rose one wide tire infall pen eat dice
Step II : un one ant rose wide tire infall eat pen dice
Step III : un one infall ant wide tire eat rose pen dice
Step IV : un one infall eat ant wide tire rose pen dice
Input: game star ant cost orach fun race uncut eye ink In Step IV of the rearrangement, of orach is related to eye and os related to fun in a certain way, Which of the following would ant be related to following the same pattern?
Direction for [ Question No: 7 To 7 ] :
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: Imprisonment for 27 years made Nelson Mandela, the President.
Assumptions:
1. Only who will be imprisoned for 27 years will become the President.
2. To become the President, imprisonment is a qualification.
Direction for [ Question No: 8 To 8 ] :
At the end of a cricket series, when five players were arranged iin the ascending order of runs scored by them, O was fourth while N was first. When they were arranged in descending order for wickets taken by them, K replaces O while O replaces L. M's position remains unchanged. K has scored more runs than M. L is having first rank in ine ranking and fifth in another.
Who has scored the highest runs in the series ?
Direction for [ Question No: 9 To 9 ] :
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.
Mirror : Reflection : : Water : ?
General Awareness / General Knowledge (GK) [ Question No: 10 To 16 ] :
Which Nobel Prize-Winning author wrote the dystopian novel. 'The Remains of the Day'?
Scientific name of the floss producing tree 'Indian Kapok' is
Which country is compiling World’s first Traditional Knowledge Digital Library?
Which of these artist was principally entrusted with the task of 'Illuminating' the original document of the Constitution of India ?
The Parliament enjoys legislative power over subjects in
Energy Audit [ Question No: 17 To 17 ] :
Condensate returned to the boiler house saves energy chiefly because it is
Energy Conservation and Management [ Question No: 18 To 19 ] :
An interruptible load contract offers a consumer a lower tariff in exchange for
Three of the following belong in an energy policy. The exception is
Engineering Mathematics [ Question No: 20 To 20 ] :
Under a change of variables from \( (x,y) \) to \( (u,v) \), the area element transforms with a factor of
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 5 ] :
The least number which must be added to 3931 to make it a perfect square, is
Your Answer : (Not Answered)
Correct Answer : A
The least number to add is 38.
\(62^{2} = 3844\) and \(63^{2} = 3969\), so 3931 lies between them, and the next perfect square is 3969.
\[ 3969 - 3931 = 38 \]
Adding 63, 69 or 169 gives 3994, 4000 and 4100, none of which is a perfect square (\(64^{2} = 4096\)).
Three mixtures of volumes 3 litres, 4 litres and 5 litres, of milk and water, respectively, with \(\frac{4}{5}\) parts of milk, \(\frac{3}{4}\) parts of milk and \(\frac{5}{7}\) parts of milk, are mixed. What should be the quantity of pure milk in litres to be added to the mixture to have \(\frac{6}{7}\) part milk in the resulting mixture?
Your Answer : (Not Answered)
Correct Answer : C
The pure milk to be added is 9.2 litres. Milk in the three mixtures is 3 x 4/5 = 2.4, 4 x 3/4 = 3 and 5 x 5/7 = 25/7 litres, so the total milk is about 8.971 litres in a 12-litre mixture. After adding x litres of pure milk the milk fraction must be 6/7, so (8.971 + x)/(12 + x) = 6/7, which gives 62.8 + 7x = 72 + 6x and x = 9.2. The values 8.2, 8.7 and 9.7 do not satisfy this equation. A check on the final mixture: the milk is 8.971 + 9.2 = 18.171 litres in a total of 21.2 litres, and 18.171 divided by 21.2 is 0.857, which is 6/7 as required.
The digits of a two-digit number add up to 9, and reversing the digits increases the number by 27. The number is:
Your Answer : (Not Answered)
Correct Answer : A
Let the tens digit be \(t\) and the units digit \(u\). Reversing changes the value by \(9(u - t) = 27\), so \(u - t = 3\). With \(t + u = 9\) we get \(u = 6\) and \(t = 3\), making the number 36. Check: \(63 - 36 = 27\). Any reversal difference is always a multiple of 9.
A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
Your Answer : (Not Answered)
Correct Answer : C
Overtaking means the car's own length is covered at the relative speed. Let the car do \( c \) km/hr and be \( L \) metres long.
\[ L = (c - 6) \times 9 \times \frac{5}{18} = (c - 12) \times 10 \times \frac{5}{18} \]
The factor \( \tfrac{5}{18} \) is common, so
\[ 9(c - 6) = 10(c - 12) \quad\Longrightarrow\quad 9c - 54 = 10c - 120 \]
\[ c = 66 \text{ km/hr} \]
The car's length never has to be found - it cancels because the same car passes both cyclists.
\((112 \times 5^{4}) = ?\)
Your Answer : (Not Answered)
Correct Answer : B
\[ 5^{4} = 625 \]
\[ 112 \times 625 = 112 \times \frac{10000}{16} = \frac{1{,}120{,}000}{16} = 70{,}000 \]
Writing 625 as \( \tfrac{10^{4}}{16} \) turns the multiplication into a division by 16.
Reasoning [ Question No: 6 To 9 ] :
Direction for [ Question No: 6 To 6 ] :
A word arrangement machine when given an input line of words rearranges then following a particular rule. The following is an illestration of Input and re-arrangement.
Input : ant rose one wide tire infall pen un dice eat
Step I : un ant rose one wide tire infall pen eat dice
Step II : un one ant rose wide tire infall eat pen dice
Step III : un one infall ant wide tire eat rose pen dice
Step IV : un one infall eat ant wide tire rose pen dice
Input: game star ant cost orach fun race uncut eye ink In Step IV of the rearrangement, of orach is related to eye and os related to fun in a certain way, Which of the following would ant be related to following the same pattern?
Your Answer : (Not Answered)
Correct Answer : A
Input: game star ant cost orach fun race uncut eye ink
Step 1 : uncut game star ant orach fun race eye ink cost
Step 2 : uncut orach game star ant race eye ink fun cost
Step 3 : uncut orach ink star ant race eye game fun cost
Step 4 : uncut orach ink eye ant star race game fun cost
Step 5 : uncut orach ink eye star ant race game fun cost
Direction for [ Question No: 7 To 7 ] :
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: Imprisonment for 27 years made Nelson Mandela, the President.
Assumptions:
1. Only who will be imprisoned for 27 years will become the President.
2. To become the President, imprisonment is a qualification.
Your Answer : (Not Answered)
Correct Answer : D
The statement implies that it was not 'literally' imprisonment, but Nelson Mandela's dedicated service to the nation and his struggle for freedom despite various hardships that won him the desired public appeal to be elected the President. So, neither I nor II is implicit.
Direction for [ Question No: 8 To 8 ] :
At the end of a cricket series, when five players were arranged iin the ascending order of runs scored by them, O was fourth while N was first. When they were arranged in descending order for wickets taken by them, K replaces O while O replaces L. M's position remains unchanged. K has scored more runs than M. L is having first rank in ine ranking and fifth in another.
Who has scored the highest runs in the series ?
Your Answer : (Not Answered)
Correct Answer : B
In terms of runs scored, we have the ascending order as N < ? < ? < O < ?.
N has the first rank. So, L will be fifth in this order i.e. N < ? < ? < O < L.
K has scored more runs than M i.e. K > M.
So, the sequence becomes N < M < K < O < L.
In terms of wickets taken, the order becomes : L > M > N > K > O.
L has scored the highest runs in the series.
Direction for [ Question No: 9 To 9 ] :
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.
Mirror : Reflection : : Water : ?
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Refraction
The relation is surface : the optical effect it produces. A mirror gives reflection, throwing light back; water gives refraction, bending light as it passes from one medium to the other - which is why a stick in water looks broken.
General Awareness / General Knowledge (GK) [ Question No: 10 To 16 ] :
Which Nobel Prize-Winning author wrote the dystopian novel. 'The Remains of the Day'?
Your Answer : (Not Answered)
Correct Answer : A
The Remains of the Day was written by Kazuo Ishiguro.
Ishiguro, the British novelist born in Japan, won the Booker Prize for The Remains of the Day (1989), the story of an English butler looking back on his life of service, and received the Nobel Prize in Literature in 2017. The novel is not in fact dystopian, as the question calls it; Ishiguro's dystopian novel is Never Let Me Go. But of the four authors, only Ishiguro wrote either book.
Samuel Beckett (Nobel 1969), Orhan Pamuk (2006) and V. S. Naipaul (2001) are also Nobel laureates, but none of them wrote this novel.
Scientific name of the floss producing tree 'Indian Kapok' is
Your Answer : (Not Answered)
Correct Answer : A
The 'Indian Kapok' tree is Bombax ceiba.
Bombax ceiba, the red silk-cotton tree or semal, bears large capsules filled with silky floss around the seeds. The floss is light and buoyant and is used to stuff pillows, mattresses and life jackets, which is why the tree is called Indian kapok. The true kapok tree is the related Ceiba pentandra.
Calotropis gigantea (aak) has floss on its seeds too but is a shrub, not the kapok tree. Grewia tiliifolia (dhaman) is valued for its timber, not floss.
Your Answer : (Not Answered)
Correct Answer : C
It belongs to Kerala.
Kathakali is a classical dance-drama of Kerala performed by men, drawing its stories from the epics and the Puranas. Its elaborate green, red and black face painting and towering headgear make it the most recognisable of Indian dance forms.
Which country is compiling World’s first Traditional Knowledge Digital Library?
Your Answer : (Not Answered)
Correct Answer : B
India is compiling it.
The Traditional Knowledge Digital Library, begun in 2001 by CSIR and the Department of AYUSH, records Ayurveda, Unani, Siddha and yoga knowledge in five languages so that patent offices can find it as prior art - a response to the patents granted abroad on turmeric and neem.
Your Answer : (Not Answered)
Correct Answer : D
The IMF grants loans only to member nations.
It lends to governments to meet balance of payments difficulties, subject to conditions on economic policy. It is a specialised agency of the United Nations, it does not lend to state governments, and it does not lend to non-members.
Which of these artist was principally entrusted with the task of 'Illuminating' the original document of the Constitution of India ?
Your Answer : (Not Answered)
Correct Answer : B
Nandalal Bose was entrusted with illuminating the original manuscript of the Constitution.
He and his students at Santiniketan decorated each of the twenty-two parts with a panel drawn from Indian history - the Indus seals, the Ramayana, Ashoka, Akbar, Gandhi's Dandi march. Prem Behari Narain Raizada wrote out the text in italic hand.
The Parliament enjoys legislative power over subjects in
Your Answer : (Not Answered)
Correct Answer : C
Parliament legislates on both the Union List and the Concurrent List.
State legislatures also legislate on the Concurrent List, but where the two conflict the central law prevails. Parliament may reach the State List only in the special circumstances set out in Articles 249 to 253.
Energy Audit [ Question No: 17 To 17 ] :
Condensate returned to the boiler house saves energy chiefly because it is
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: hot and almost free of dissolved solids
Condensate returns at close to boiling, so far less fuel is needed to bring it back to steam, and it is essentially distilled water, so it dilutes the drum and lets the blowdown rate fall. Those two effects compound: the returned condensate saves sensible heat directly and saves more by displacing blowdown.
Energy Conservation and Management [ Question No: 18 To 19 ] :
An interruptible load contract offers a consumer a lower tariff in exchange for
Your Answer : (Not Answered)
Correct Answer : A
The utility gains a resource it can call on in place of building peaking capacity, and the consumer accepts the risk of interruption at a discount. The number and duration of calls permitted is the substance of the negotiation.
Three of the following belong in an energy policy. The exception is
Your Answer : (Not Answered)
Correct Answer : A
The measures belong in the action plan, which changes yearly, whereas the policy should stand for several years. Putting a schedule into the policy means either revising the policy constantly or leaving it out of date.
Engineering Mathematics [ Question No: 20 To 20 ] :
Under a change of variables from \( (x,y) \) to \( (u,v) \), the area element transforms with a factor of
Your Answer : (Not Answered)
Correct Answer : A
The rule is
\[ dx\,dy \;=\; \left|\frac{\partial(x,y)}{\partial(u,v)}\right| du\,dv, \]
the Jacobian of the *old* variables with respect to the new ones, and its modulus because an area is positive whichever way the map orients the plane. Using the reciprocal Jacobian scales the integral by the wrong factor
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20