Instruction
- Total number of questions : 20
- Time allotted : 30:00 Minutes:Seconds.
- Each question carry 1 mark, no negative marks.
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- All the best
Quantitative Aptitude [ Question No: 1 To 5 ] :
A fraction is such that when 3/4 is added to it, we get 1/3. What is the fraction?
The given bar graph shows the number of accidents in a city during the first 6 months of a year. Examine the bar graph and answer the question.
What is the percentage of accidents in the month of April with respect to the total accidents in the city during six months? (Correct to nearest integer)
Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown.
What is the ratio of the areas of unshaded regions of case M to that of case N?
(Figure: in case M the four circles sit in a 2 by 2 arrangement and in case N the nine circles in a 3 by 3 arrangement; in each case the circles touch one another and the sides of the square.)
The difference between a number and its three-fifths is 50. What is the number?
If the areas of the three adjacent faces of a cuboidal box are 120cm2, 72cm2 and 60cm2 respectively, find the volume of the box.
Reasoning [ Question No: 6 To 7 ] :
Direction for [ Question No: 6 To 6 ] :
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.
Victory:Encouragement::Failure:?
Consider a knock-out women’s badminton singles tournament where there are no ties. The loser in each game is eliminated from the tournament. Every player plays until she is defeated or remains the last undefeated player. The last undefeated player is declared the winner of the tournament. If there are 64 players in the beginning of the tournament, how many games should be played in total to declare the winner of the tournament?
English Language [ Question No: 8 To 11 ] :
Direction for [ Question No: 8 To 8 ] :
Read each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
In the sentence below, find the part that contains an error. If the sentence is correct as it stands, choose "No error".
Direction for [ Question No: 9 To 9 ] :
In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.
The material in plants that carries water and minerals upwards from the root.
Direction for [ Question No: 10 To 10 ] :
In each of the following questions, out of the given alternatives,choose the one which best expresses the meaning of the given word.
General Awareness / General Knowledge (GK) [ Question No: 12 To 20 ] :
"French" is the official language of _____.
Humus in soil is best described as
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 5 ] :
A fraction is such that when 3/4 is added to it, we get 1/3. What is the fraction?
Your Answer : (Not Answered)
Correct Answer : C
The fraction is -5/12.
Let the fraction be x. Then
\[ \begin{aligned} x + \frac{3}{4} &= \frac{1}{3} \\ x &= \frac{1}{3} - \frac{3}{4} = \frac{4 - 9}{12} = -\frac{5}{12} \end{aligned} \]
Check: \(-5/12 + 9/12 = 4/12 = 1/3\). The positive 5/12 comes from dropping the minus sign, and would give 14/12 when 3/4 is added.
The other two options fail the same check: \(2/1 + 3/4 = 11/4\) and \(4/7 + 3/4 = 37/28\), both greater than 1, while the required sum 1/3 is less than 3/4, so the fraction must be negative.
The given bar graph shows the number of accidents in a city during the first 6 months of a year. Examine the bar graph and answer the question.
What is the percentage of accidents in the month of April with respect to the total accidents in the city during six months? (Correct to nearest integer)
Your Answer : (Not Answered)
Correct Answer : D
April's share is 24 per cent. The six bars read 25, 19, 30, 43, 35 and 27, which total 179. April has 43, so \[ \frac{43}{179} \times 100 \approx 24.0\% \] which is 24 to the nearest integer.
15%, 20% and 22% do not match 43 out of 179.
The share is worked out as the April bar over the total of all six bars, so 43 / 179 = 0.240 and the figure is 24 per cent.
Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown.
What is the ratio of the areas of unshaded regions of case M to that of case N?
(Figure: in case M the four circles sit in a 2 by 2 arrangement and in case N the nine circles in a 3 by 3 arrangement; in each case the circles touch one another and the sides of the square.)
Your Answer : (Not Answered)
Correct Answer : B
The ratio is 1 : 1.
In case M each circle has diameter 1/2 cm, and in case N each has diameter 1/3 cm. The total shaded area is
\[ \begin{aligned} M &: 4 \times \pi \left(\tfrac{1}{4}\right)^{2} = \frac{\pi}{4} \\ N &: 9 \times \pi \left(\tfrac{1}{6}\right)^{2} = \frac{\pi}{4} \end{aligned} \]
Both shade \(\pi/4\) of the 1 cm2 sheet, so both leave \(1 - \pi/4\) unshaded, and the ratio is 1 : 1. In general, n2 touching circles in an n by n grid always cover \(\pi/4\) of the square. The options 2 : 3 and 3 : 2 come from comparing the numbers of circles instead of their areas.
The difference between a number and its three-fifths is 50. What is the number?
Your Answer : (Not Answered)
Correct Answer : C
Three-fifths taken away leaves two-fifths.
\[ x - \frac{3x}{5} = \frac{2x}{5} = 50 \]
\[ x = 125 \]
If the areas of the three adjacent faces of a cuboidal box are 120cm2, 72cm2 and 60cm2 respectively, find the volume of the box.
Your Answer : (Not Answered)
Correct Answer : B
With faces \( P = lb \), \( Q = bh \), \( R = hl \), the product of all three is the square of the volume:
\[ PQR = (lbh)^{2} \quad\Longrightarrow\quad V = \sqrt{PQR} \]
\[ V = \sqrt{120 \times 72 \times 60} = \sqrt{518400} = 720 \text{ cm}^{3} \]
Forgetting the square root leaves 518,400; the dimensions themselves work out to 10, 12 and 6 cm, which do reproduce all three given face areas.
Reasoning [ Question No: 6 To 7 ] :
Direction for [ Question No: 6 To 6 ] :
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.
Victory:Encouragement::Failure:?
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Frustration
The relation is outcome : the feeling it produces. Victory brings encouragement; failure brings frustration. Defeat is another word for the failure itself rather than the feeling it leaves.
Consider a knock-out women’s badminton singles tournament where there are no ties. The loser in each game is eliminated from the tournament. Every player plays until she is defeated or remains the last undefeated player. The last undefeated player is declared the winner of the tournament. If there are 64 players in the beginning of the tournament, how many games should be played in total to declare the winner of the tournament?
Your Answer : (Not Answered)
Correct Answer : C
63 games are needed.
Every game eliminates exactly one player, and the tournament ends when exactly one player, the winner, is left undefeated. Starting from 64 players, 63 players must be eliminated, so 63 games are played.
Counting round by round gives the same total: 32 + 16 + 8 + 4 + 2 + 1 = 63.
64 counts one game per player, but the winner never loses. 32 is only the first round, and 127 is the number of games for a draw of 128 players.
English Language [ Question No: 8 To 11 ] :
Direction for [ Question No: 8 To 8 ] :
Read each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).
In the sentence below, find the part that contains an error. If the sentence is correct as it stands, choose "No error".
Your Answer : (Not Answered)
Correct Answer : C
The error is in than butter.
Prefer takes to, not than - prefer margarine to butter. When an infinitive follows, the construction is prefer to do rather than do.
Direction for [ Question No: 9 To 9 ] :
In questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.
The material in plants that carries water and minerals upwards from the root.
Your Answer : (Not Answered)
Correct Answer : A
It is xylem.
Xylem carries water and dissolved minerals upward from the roots, from the Greek xylon, wood. Phloem carries the sugars made in the leaves in both directions.
Direction for [ Question No: 10 To 10 ] :
In each of the following questions, out of the given alternatives,choose the one which best expresses the meaning of the given word.
Your Answer : (Not Answered)
Correct Answer : C
It is secretive.
Privy means sharing in the knowledge of something secret - privy to the plan. Revealed and unconcealed are its opposites.
Your Answer : (Not Answered)
Correct Answer : A
The opposite is commendation.
Calumny is a false and damaging statement about someone; commendation is praise. Flurry and savage are unrelated.
General Awareness / General Knowledge (GK) [ Question No: 12 To 20 ] :
"French" is the official language of _____.
Your Answer : (Not Answered)
Correct Answer : A
It is Burundi.
French shares official status with Kirundi, which nearly everyone speaks, and English was added in 2014 after Burundi joined the East African Community.
Your Answer : (Not Answered)
Correct Answer : A
A colour-blind person has difficulty distinguishing green and red.
Red-green colour blindness comes from a defect in the cone pigments, and the genes lie on the X chromosome, so it is far commoner in men - about 8 per cent, against 0.5 per cent of women.
Your Answer : (Not Answered)
Correct Answer : B
Frank Julian Sprague built it.
His constant-speed DC motor of 1886 held its speed under varying load, which earlier motors could not, and made electric traction practical. He equipped the Richmond streetcar system in 1888, the first successful electric tramway.
Your Answer : (Not Answered)
Correct Answer : C
James Dewar invented the vacuum flask.
He made it in 1892 to hold liquefied gases: a double-walled glass vessel with the space between evacuated and the surfaces silvered, so that conduction, convection and radiation are all cut off. He never patented it.
Your Answer : (Not Answered)
Correct Answer : A
The Gathering Storm was written by Winston Churchill.
It is the first of the six volumes of The Second World War and covers the years leading up to 1939. Churchill was awarded the Nobel Prize in Literature in 1953, largely for this series.
Your Answer : (Not Answered)
Correct Answer : A
Jana Gana Mana was composed by Rabindranath Tagore.
He wrote both the words and the tune in Bengali, and it was first sung at the Calcutta session of the Congress in December 1911. Tagore also wrote Bangladesh's national anthem.
Your Answer : (Not Answered)
Correct Answer : B
Bal Gangadhar Tilak has not received the Bharat Ratna.
The award was instituted in 1954, some thirty-four years after his death, and although it has been given posthumously since 1966 he has never been named. Radhakrishnan received it in 1954, Shastri in 1966, Indira Gandhi in 1971 and Patel in 1991.
Humus in soil is best described as
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: Decomposed organic matter
Humus is the dark, stable organic material left when plant and animal remains have been broken down by soil organisms - the end product of decomposition rather than a stage in it. It does a great deal for a very small share of the soil by weight. It holds nutrients in a form plants can draw on and releases them slowly; it retains many times its own weight in water; it binds mineral particles into crumbs, which improves both aeration and drainage; and its dark colour helps the soil warm in spring. It accumulates in the upper A horizon, which is why topsoil is dark and fertile and subsoil is not. Grassland soils such as the chernozems of the Prairies and Steppes are the richest in it. Bedrock is the R horizon at the base of the profile, and clay is a mineral fraction defined by particle size, not an organic component.
Your Answer : (Not Answered)
Correct Answer : A
It began in agricultural credit.
The Co-operative Credit Societies Act of 1904 was intended to free the cultivator from the moneylender, and credit societies were for many years the only kind allowed. The Act of 1912 opened the movement to marketing, processing and other non-credit societies.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20