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 4 ] :
The sum of the following infinite series is
\[ \begin{aligned} &2 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{8} \\ &+ \frac{1}{9} + \frac{1}{16} + \frac{1}{27} + \cdots \end{aligned} \]
In a pie chart, the marks obtained by a student in Mathematics, Science, Social Science, Hindi and English are respectively represented by sectors of central angles 90°, 80°, 65°, 75° and 50°. If the total marks obtained by the students were 540, then what is the difference of the marks obtained by him/her in Mathematics and English ?
The present worth of a bill due some time hence is ₹1,500 and the true discount is ₹30. What is the banker’s discount?
A walks from points Jammu to Delhi and at the same time B starts walking from Delhi to Jammu. After passing each other, they complete their journeys in 361 hours and 289 hours, respectively. Find the ratio of speed of A to that of B?
Reasoning [ Question No: 5 To 12 ] :
Direction for [ Question No: 5 To 5 ] :
In each question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.
Give answer:
- (A) If only conclusion I follows
- (B) If only conclusion II follows
- (C) If either I or II follows
- (D) If neither I nor II follows and
- (E) If both I and II follow.
Statements: Leaders, who raise much hue and cry about the use of Hindi, generally send their children to English medium schools.
Conclusions:
1. India lacks good Hindi medium schools.
2. There is a world of difference between preaching and practising.
Direction for [ Question No: 6 To 6 ] :
The space exploration has been done mainly by using unmanned satellites called space probes containing a large variety of latest scientific instruments on board. These space probes have provided us the close up pictures and other data about planets and other bodies in the outer space. The climax of the intensive American space programme came when Neil Armstrong became the first man to set foot on the moon on July 20, 1969. Originally, the artificial satellites were launched for studying the upper atmosphere of earth.
Space probes are provided with computers.
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: If Rajan has finished reading the instructions, then let him begin the activities accordingly.
Assumptions:
1. Rajan would understand the instructions.
2. Rajan is capable of performing the activities
Direction for [ Question No: 8 To 8 ] :
Each of the following questions contains a small paragraph followed by a question on it. Read each paragraph carefully and answer the question given below it.
Deforestation results from removal of trees without sufficient reforestation; however, even with reforestation, significant biodiversity loss may occur. There are many causes, ranging from slow forest degradation to sudden and catastrophic wildfires.
The passage best supports the statement that:
Direction for [ Question No: 9 To 9 ] :
(i). P, Q, R, S, T and U are six members in a family in which there arfe two married couples.
(ii). T, a teacher is married to the doctor who is mother of R and U.
(iii). Q, the laywer is married to P.
(iv). P has one son and one grandson.
(v). Of the two married ladies one is a housewife.
(vi). There is also one student and one male engineer in the family.
Who among the following is the housewife ?
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Each number here is twice the one before it. Supply the term that completes the run.
A5, B10, C20, D40, ?
In a row of five buildings - P, Q, R, S and T, which building is in the middle ?
Statements:
1. Buildings S and Q are at the two extreme ends of the row.
2. Building ,T is to the right of building R.
General Awareness / General Knowledge (GK) [ Question No: 13 To 19 ] :
Mark the correct Option :
Phulo Jhano Murmu Medical College is affiliated to
"English" is the official language of _____.
The United Nations declared October as the-
The Golden Temple, or Harmandir Sahib, is located in which city ?
Which of the following events took place in the Cenozoic era?
Microbiology [ Question No: 20 To 20 ] :
Which of these is a saprotroph?
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 4 ] :
The sum of the following infinite series is
\[ \begin{aligned} &2 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{8} \\ &+ \frac{1}{9} + \frac{1}{16} + \frac{1}{27} + \cdots \end{aligned} \]
Your Answer : (Not Answered)
Correct Answer : B
The sum is 7/2.
Apart from the leading 2, the terms are the powers of 1/2 and the powers of 1/3 interleaved. Summing each geometric series separately:
\[ \begin{aligned} \tfrac{1}{2} + \tfrac{1}{4} + \tfrac{1}{8} + \cdots &= \frac{1/2}{1 - 1/2} = 1 \\ \tfrac{1}{3} + \tfrac{1}{9} + \tfrac{1}{27} + \cdots &= \frac{1/3}{1 - 1/3} = \tfrac{1}{2} \\ 2 + 1 + \tfrac{1}{2} &= \tfrac{7}{2} \end{aligned} \]
Rearranging is allowed because every term is positive. 11/3, 13/4 and 9/2 come from mis-summing one of the two series.
In a pie chart, the marks obtained by a student in Mathematics, Science, Social Science, Hindi and English are respectively represented by sectors of central angles 90°, 80°, 65°, 75° and 50°. If the total marks obtained by the students were 540, then what is the difference of the marks obtained by him/her in Mathematics and English ?
Your Answer : (Not Answered)
Correct Answer : A
The difference is 60 marks.
The whole pie of 360° represents 540 marks, so each degree stands for 1.5 marks. Mathematics has 90° and English 50°:
\[ \begin{aligned} \text{Difference} &= (90 - 50) \times \frac{540}{360} \\ &= 40 \times 1.5 = 60 \end{aligned} \]
40 is the difference in degrees, forgetting to convert to marks.
The present worth of a bill due some time hence is ₹1,500 and the true discount is ₹30. What is the banker’s discount?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: ₹30.60
The banker’s gain is the simple interest on the true discount, which gives the standard relation \[ \text{BG} = \frac{\text{TD}^{2}}{\text{PW}}. \] Substituting, \[ \text{BG} = \frac{30^{2}}{1500} = \frac{900}{1500} = 0.60. \] The banker’s discount then follows from \( \text{BD} = \text{TD} + \text{BG} \): \[ \text{BD} = 30 + 0.60 = 30.60. \] The relationships worth holding together are these. True discount is the interest on the present worth; banker’s discount is the interest on the face value, which is larger; and the banker’s gain is the difference between them, which is why BD always exceeds TD. The trap is to treat BD as equal to TD, which the small size of BG makes tempting on figures like these.
A walks from points Jammu to Delhi and at the same time B starts walking from Delhi to Jammu. After passing each other, they complete their journeys in 361 hours and 289 hours, respectively. Find the ratio of speed of A to that of B?
Your Answer : (Not Answered)
Correct Answer : A
Two travellers who start together and meet, then finish in times \( t_{A} \) and \( t_{B} \), have speeds in the ratio
\[ \frac{v_{A}}{v_{B}} = \sqrt{\frac{t_{B}}{t_{A}}} \]
\[ \frac{v_{A}}{v_{B}} = \sqrt{\frac{289}{361}} = \frac{17}{19} \]
The square root is the part most often missed: taking the times' ratio directly would give 289 : 361, which is offered as a distractor. It is a square root because each traveller's remaining distance is the distance the other has already covered.
Reasoning [ Question No: 5 To 12 ] :
Direction for [ Question No: 5 To 5 ] :
In each question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.
Give answer:
- (A) If only conclusion I follows
- (B) If only conclusion II follows
- (C) If either I or II follows
- (D) If neither I nor II follows and
- (E) If both I and II follow.
Statements: Leaders, who raise much hue and cry about the use of Hindi, generally send their children to English medium schools.
Conclusions:
1. India lacks good Hindi medium schools.
2. There is a world of difference between preaching and practising.
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: Either I or II follows
The leaders’ conduct needs some explanation, and the two conclusions offer the alternatives: either there are no good Hindi-medium schools to send the children to, or the leaders say one thing and do another. One or the other must account for it, but the statement does not say which. Either I or II follows.
Direction for [ Question No: 6 To 6 ] :
The space exploration has been done mainly by using unmanned satellites called space probes containing a large variety of latest scientific instruments on board. These space probes have provided us the close up pictures and other data about planets and other bodies in the outer space. The climax of the intensive American space programme came when Neil Armstrong became the first man to set foot on the moon on July 20, 1969. Originally, the artificial satellites were launched for studying the upper atmosphere of earth.
Space probes are provided with computers.
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Probably true
The passage says space probes carry a large variety of the latest scientific instruments on board and that they have sent back close-up pictures and other data. Craft that must operate unattended and transmit data across such distances would need computers, and the reference to the latest instruments points the same way - but the passage never actually says the word, so this is a reasonable inference rather than a stated fact.
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: If Rajan has finished reading the instructions, then let him begin the activities accordingly.
Assumptions:
1. Rajan would understand the instructions.
2. Rajan is capable of performing the activities
Your Answer : (Not Answered)
Correct Answer : E
Correct answer: Both I and II are implicit
To let him begin on the strength of having read the instructions presupposes both that he will have understood them and that he is able to carry them out. Both are implicit.
Direction for [ Question No: 8 To 8 ] :
Each of the following questions contains a small paragraph followed by a question on it. Read each paragraph carefully and answer the question given below it.
Deforestation results from removal of trees without sufficient reforestation; however, even with reforestation, significant biodiversity loss may occur. There are many causes, ranging from slow forest degradation to sudden and catastrophic wildfires.
The passage best supports the statement that:
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: In developing countries, massive deforestation is ongoing and is shaping climate and geography.
The passage is about deforestation as a continuing process with many causes, from slow degradation to catastrophic wildfire, and about the biodiversity lost even where replanting occurs. This option is the only one that stays on that subject. The others narrow to a single modelling study, to the Sahara, or to a point about key species that the passage does not make.
Direction for [ Question No: 9 To 9 ] :
(i). P, Q, R, S, T and U are six members in a family in which there arfe two married couples.
(ii). T, a teacher is married to the doctor who is mother of R and U.
(iii). Q, the laywer is married to P.
(iv). P has one son and one grandson.
(v). Of the two married ladies one is a housewife.
(vi). There is also one student and one male engineer in the family.
Who among the following is the housewife ?
Your Answer : (Not Answered)
Correct Answer : A
One couple is QP.
Now, R and U are the children of T. So, the other couple is TS.
T is a teacher.
S is a female doctor.
Q is a lawyer.
Clearly, P is a housewife and hence a female.
S is the mother of R and U.
P has one son and on grandson.
Clearly, T is the son of P and R or U is the grandson.
The grandson is a male engineer and the grand-daughter is a student.
Hence, P is the housewife.
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Your Answer : (Not Answered)
Correct Answer : B
Only cube (ii) can be made from the net, so the answer is Only (ii) can correspond to the unfolded cube in Panel I.
Label the squares of the net: the centre square (dashed, with a vertical bar) is F2; above it is F1 (a shaded triangle in its lower-right corner); below it, in order, are F3 (a horizontal bar through its middle) and F4 (the lower half shaded); to the left and right of F2 are the left square (an L of gray with a white upper-right quarter) and the right square (a gray upper-right quarter). Folding F2 to the front puts F1 on top, F3 underneath, F4 at the back, and the left and right squares at the sides.
Cube (ii): its front face is white with a gray triangle in a corner, the pattern of F1; its top face is gray over the front half, the pattern of F4; and its right face has a gray quarter, the pattern of the net's right square. These three faces meet at one corner of the folded cube, and the orientations of the patterns agree with how the net folds, so (ii) is possible.
Cube (i): the right face, gray over its lower half and white above, can only be F4. The front face, gray with a white lower-left quarter, can only be the net's left square. The top face must meet both of those, which leaves F3, the barred square. But the bar on F3 runs parallel to the edge that F3 shares with F2, so on the cube it is perpendicular to the edge that F3 shares with the left square. In (i) the top bar is drawn parallel to the front edge, so (i) is impossible.
Each number here is twice the one before it. Supply the term that completes the run.
A5, B10, C20, D40, ?
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: E80
The letters climb one place at a time and the numbers double: 5, 10, 20, 40. Twice 40 is 80, so the term is E80. E60 treats the numbers as growing by a constant 20, which fits only the last step; the earlier steps of 5 and 10 rule it out immediately, which is why every gap should be checked rather than just the most recent. Doubling and adding a constant agree at one step and diverge at every other, so a rule should always be tested against the first pair as well as the last.
In a row of five buildings - P, Q, R, S and T, which building is in the middle ?
Statements:
1. Buildings S and Q are at the two extreme ends of the row.
2. Building ,T is to the right of building R.
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Neither 1 or 2 is sufficient
Statement 1 fixes S and Q at the two ends but leaves P, R and T to fill the three middle places in any order. Statement 2 gives only a relative position for T and R. Together they still admit more than one arrangement of the middle three, so the central building cannot be named.
General Awareness / General Knowledge (GK) [ Question No: 13 To 19 ] :
Mark the correct Option :
Phulo Jhano Murmu Medical College is affiliated to
Your Answer : (Not Answered)
Correct Answer : B
The college is affiliated to Sidho Kanho Murmu University.
Phulo Jhano Murmu Medical College and Hospital is in Dumka, in the Santhal Parganas, and the university for that region is Sido Kanhu Murmu University, also at Dumka. The Commission's key gives B, the option with the full name of the university, 'Sidho Kanho Murmu University'.
Ranchi University and Nilamber Pitambar University (at Medininagar, Palamu) serve other regions of the state. 'Sidho Kanho University' in option C is the same name with 'Murmu' left out; the key accepts only the full form in B, and C is not the university's full name.
"English" is the official language of _____.
Your Answer : (Not Answered)
Correct Answer : D
It is Sierra Leone.
English is the official language, brought by the freed slaves settled at Freetown from 1787. Krio, an English-based creole that grew from their speech, is spoken by most of the population as a second language.
Your Answer : (Not Answered)
Correct Answer : C
The Petroleum Act was enacted in 1934.
It regulates the import, transport, storage, production and refining of petroleum through a licensing system, classifying petroleum by flash point into three classes.
Your Answer : (Not Answered)
Correct Answer : C
Soda is a heterogeneous mixture.
Carbonated water holds undissolved carbon dioxide as visible bubbles, so it has two distinct phases and its composition is not uniform throughout. Air and brass are homogeneous mixtures, and table salt is a compound rather than a mixture at all.
The United Nations declared October as the-
Your Answer : (Not Answered)
Correct Answer : D
October is observed as all three - Breast Cancer Awareness Month, National Pretzel Month and International Augmentative and Alternative Communication Month.
Breast Cancer Awareness Month, with its pink ribbon, is the best known; AAC Month promotes the communication aids used by people who cannot speak.
The Golden Temple, or Harmandir Sahib, is located in which city ?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Amritsar
The Harmandir Sahib stands in the middle of the sacred pool at Amritsar from which the city takes its name. Its doors on all four sides are traditionally read as a sign of openness to people of every background.
Which of the following events took place in the Cenozoic era?
Your Answer : (Not Answered)
Correct Answer : A
The formation of the Rockies and the collision of India with Asia belong to the Cenozoic.
The Cenozoic began about 66 million years ago. India, having broken away from Gondwana, drifted north and collided with Asia around 50 million years ago, closing the Tethys and raising the Himalayas - a collision still in progress. The Appalachians are Palaeozoic and the break-up of Pangaea Mesozoic.
Microbiology [ Question No: 20 To 20 ] :
Which of these is a saprotroph?
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: Fungi
Fungi are saprotrophs: they secrete enzymes onto dead organic matter and absorb the digested products. The pitcher plant is an insectivorous autotroph, and Cuscuta is a parasite that feeds on a living host.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20