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 4 ] :
A 15-meter long ladder reached a window, x meter high from the ground when placed against a wall at a distance of y meter. If the angle between ladder and ground is 30°, then about x and y which of the following is true?
What is the remainder when 86 × 60 × 12 × 60 × 94 is divided by 100?
A circle with center at \((x, y) = (0.5, 0)\) and radius = 0.5 intersects with another circle with center at \((x, y) = (1, 1)\) and radius = 1 at two points. One of the points of intersection \((x, y)\) is:
Simplfy: \(b - [b -(a+b) - {b - (b - a+b)} + 2a]\)
Reasoning [ Question No: 5 To 9 ] :
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: Lock your valuables in a cupboard and call everybody gentleman.
Assumptions:
1. Valuables locked in cupboard cannot be stolen.
2. Stealing is a crime
Direction for [ Question No: 6 To 6 ] :
Each question given below consists of a statement, followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument. Give answer: (A) If only argument I is strong (B) If only argument II is strong (C) If either I or II is strong (D) If neither I nor II is strong (E) If both I and II are strong.
Statement: Should non-vegetarian food be totally banned in our country?
Arguments:
1. Yes. It is expensive and therefore it is beyond the means of most people in our country.
2. No. Nothing should be banned in a democratic country like ours.
In the question below is given a statement followed by two conclusions numbered I and II.
Give answer
(A) If only I follows
(B) If only II follows
(C) If either I or II follows
(D) If neither I nor II follows
(E) If both I and II follow.
Statement - Only good dancers are invited in the conference. Good dancers have a charming personality.
Conclusions -
I. All invited dancers in the conference have charming personality.
II. Those dancers who do not have charming personality are not invited in the conference.
B is the brother of A. How is A related to B ?
Statements:
1. A is the sister of C.
2. E is the husband of A.
If TAP is coded as SZO, then how is FREEZE coded ?
English Language [ Question No: 10 To 14 ] :
Direction for [ Question No: 10 To 10 ] :
Read the passage given below and answer the questions that follow by selecting the correct/most appropriate options.
Man who is believed to have evolved from apes, is a curious mixture of varied motives. He is not only the subject of needs but is also their creator. He not only seeks to satisfy his needs but also caters to his desire for beauty and grace. He is eager to satisfy his passion for more and more knowledge. Although in a general way, the maxim 'necessity is the mother of invention' is true, it is by no means the whole truth. Man is something much greater than an intelligent being using his intellect to make newer inventions from time to time. He has within him a spirit which is ever exhorting him to cut down his needs and learn to be happy with what he has. The real purpose underlying this maxim lies in its utility in the worldly sense. It tells us to be up and doing, not to be passive in our attitude to life. It asks us not to remain slaves of old habits and ways of life. We must face the new situations with a creative mind. Every new difficulty, every new problem, which confronts us in life, can be tackled successfully with the spirit of inventiveness.
What does the maxim mentioned in the passage teach us?
Direction for [ Question No: 11 To 11 ] :
Select the combination of numbers so that letters/words arranged accordingly will form meaningful word
In each of the following questions, find which one word cannot be made from the letters of the given word.
ADULTERATION
Direction for [ Question No: 12 To 13 ] :
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".
In the sentence below, find the part that contains an error. If the sentence is correct as it stands, choose "No error".
Computer Awareness [ Question No: 15 To 15 ] :
The output of an OR gate with three inputs, A, B, and C, is LOW when ________.
General Awareness / General Knowledge (GK) [ Question No: 16 To 20 ] :
Who was the First Chief Justice of the Rajasthan High Court?
How do vector vaccines work to provide immunity?
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 4 ] :
A 15-meter long ladder reached a window, x meter high from the ground when placed against a wall at a distance of y meter. If the angle between ladder and ground is 30°, then about x and y which of the following is true?
Your Answer : (Not Answered)
Correct Answer : A
The answer is x = 7.5 metre and y = \(15\sqrt{3}/2\) metre.
The ladder is the hypotenuse, 15 m, making 30° with the ground. The height reached is the side opposite that angle and the distance from the wall the side adjacent to it:
\[ \begin{aligned} x &= 15 \sin 30^\circ = 7.5\ \text{m} \\ y &= 15 \cos 30^\circ = \frac{15\sqrt{3}}{2}\ \text{m} \end{aligned} \]
Option B swaps the two, which would be right only for a 60° angle with the ground. The values with \(\sqrt{2}\) belong to a 45° angle.
What is the remainder when 86 × 60 × 12 × 60 × 94 is divided by 100?
Your Answer : (Not Answered)
Correct Answer : D
The remainder is 0.
The remainder on division by 100 is the last two digits of the product. Two of the factors are 60, and \(60 \times 60 = 3600\), which already ends in 00.
Multiplying a number ending in 00 by any whole numbers keeps the last two digits 00, so the whole product \(86 \times 60 \times 12 \times 60 \times 94\) is divisible by 100 and leaves no remainder. Any of the other remainders would need a product not divisible by 100, which the two factors of 60 rule out.
A circle with center at \((x, y) = (0.5, 0)\) and radius = 0.5 intersects with another circle with center at \((x, y) = (1, 1)\) and radius = 1 at two points. One of the points of intersection \((x, y)\) is:
Your Answer : (Not Answered)
Correct Answer : B
One intersection point is (0.2, 0.4).
Write the two circles and subtract one equation from the other to get the line through both intersection points:
\[ \begin{aligned} (x - 0.5)^{2} + y^{2} &= 0.25 \Rightarrow x^{2} - x + y^{2} = 0 \\ (x - 1)^{2} + (y - 1)^{2} &= 1 \\ \Rightarrow x^{2} - 2x + y^{2} - 2y + 1 &= 0 \end{aligned} \]
Subtracting gives \(x + 2y - 1 = 0\), so \(x = 1 - 2y\). Substituting in the first circle: \(5y^{2} - 2y = 0\), so \(y = 0\) or \(y = 0.4\). The points are (1, 0) and (0.2, 0.4).
(0, 0) lies on the first circle but is \(\sqrt{2}\) from (1, 1); (0.5, 0.5) and (1, 2) lie on only one circle or neither.
Simplfy: \(b - [b -(a+b) - {b - (b - a+b)} + 2a]\)
Your Answer : (Not Answered)
Correct Answer : D
\(b-[b-(a+b)-{b-(b-a+b)}+2a]\)
\(=b-[b-a-b-{b-(2b-a)}+2a]\)
\(=b-[-a-{b-2b+a}+2a]\)
\(=b-[-a-{-b+a}+2a]\)
\(=b-[-a+b-a+2a]\)
\(=b-[-2a+b+2a]\)
\(=b-b\)
\(=0\)
Reasoning [ Question No: 5 To 9 ] :
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: Lock your valuables in a cupboard and call everybody gentleman.
Assumptions:
1. Valuables locked in cupboard cannot be stolen.
2. Stealing is a crime
Your Answer : (Not Answered)
Correct Answer : A
The statement points out that a person who keeps his things locked away shall feel that every person is good because he has no danger for his things. So, I is implicit. The statement mentions nothing about the lawful nature of the act of stealing. So, II is not implicit,
Direction for [ Question No: 6 To 6 ] :
Each question given below consists of a statement, followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument. Give answer: (A) If only argument I is strong (B) If only argument II is strong (C) If either I or II is strong (D) If neither I nor II is strong (E) If both I and II are strong.
Statement: Should non-vegetarian food be totally banned in our country?
Arguments:
1. Yes. It is expensive and therefore it is beyond the means of most people in our country.
2. No. Nothing should be banned in a democratic country like ours.
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Only argument II is strong
Argument 2 rests on a principle: in a free country what people eat is their own affair, and a ban would reach far beyond what the state may properly decide. Argument 1 argues from cost, which is a reason for people not to buy such food rather than for forbidding it. Only II is strong.
In the question below is given a statement followed by two conclusions numbered I and II.
Give answer
(A) If only I follows
(B) If only II follows
(C) If either I or II follows
(D) If neither I nor II follows
(E) If both I and II follow.
Statement - Only good dancers are invited in the conference. Good dancers have a charming personality.
Conclusions -
I. All invited dancers in the conference have charming personality.
II. Those dancers who do not have charming personality are not invited in the conference.
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Both I and II follow
Conclusion I follows directly: only good dancers are invited, and good dancers have charming personalities, so every invitee has one. Conclusion II is the contrapositive of that same chain - anyone without a charming personality is not a good dancer, and so is not invited. A statement and its contrapositive are logically equivalent, so if the first follows the second must.
B is the brother of A. How is A related to B ?
Statements:
1. A is the sister of C.
2. E is the husband of A.
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: Either 1 or 2 is sufficient
The question asks how A is related to B, and since B is A’s brother the answer turns entirely on A’s sex. Statement 1 calls A the sister of C, and statement 2 makes A the wife of E; each establishes that A is female and therefore B’s sister. Either alone will do.
If TAP is coded as SZO, then how is FREEZE coded ?
Your Answer : (Not Answered)
Correct Answer : B
Explanation:
Clearly,
T -1 = S
A -1 = Z
P -1 = O
So FREEZE will be,
F -1 E
R -1 Q
E -1 D
E -1 D
Z -1 Y
E -1 D
English Language [ Question No: 10 To 14 ] :
Direction for [ Question No: 10 To 10 ] :
Read the passage given below and answer the questions that follow by selecting the correct/most appropriate options.
Man who is believed to have evolved from apes, is a curious mixture of varied motives. He is not only the subject of needs but is also their creator. He not only seeks to satisfy his needs but also caters to his desire for beauty and grace. He is eager to satisfy his passion for more and more knowledge. Although in a general way, the maxim 'necessity is the mother of invention' is true, it is by no means the whole truth. Man is something much greater than an intelligent being using his intellect to make newer inventions from time to time. He has within him a spirit which is ever exhorting him to cut down his needs and learn to be happy with what he has. The real purpose underlying this maxim lies in its utility in the worldly sense. It tells us to be up and doing, not to be passive in our attitude to life. It asks us not to remain slaves of old habits and ways of life. We must face the new situations with a creative mind. Every new difficulty, every new problem, which confronts us in life, can be tackled successfully with the spirit of inventiveness.
What does the maxim mentioned in the passage teach us?
Your Answer : (Not Answered)
Correct Answer : D
The key gives To be active in life and do something to help mankind.
The passage says the real purpose of the maxim is to tell us 'to be up and doing, not to be passive in our attitude to life' and to face new situations with a creative mind. Option D is the only one about being active. The words 'to help mankind' are not in the passage, so D is the best fit and not an exact restatement.
The passage says we should not remain 'slaves of old habits', so option B, being slaves of our needs and wants, is the opposite of its advice. Creating new desires (C) is what the inner spirit warns against, and 'worldly in the strict sense' (A) is not what the passage recommends.
Direction for [ Question No: 11 To 11 ] :
Select the combination of numbers so that letters/words arranged accordingly will form meaningful word
In each of the following questions, find which one word cannot be made from the letters of the given word.
ADULTERATION
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: RETURN
RETURN needs two Rs, and the word has only one, which ADULTERATION does not contain. RELATION, RETAIL and TOILET can all be spelt from its letters. The quickest method is not to try building each option but to look for one letter the option needs and the source word lacks.
Direction for [ Question No: 12 To 13 ] :
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 : A
The error is in supposing if.
Supposing already introduces a condition, so if doubles it: supposing there is no bus. The same applies to suppose that.
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 : B
There is no error.
There is no question of takes a gerund, and the possessive before it - of my failing - is correct.
Your Answer : (Not Answered)
Correct Answer : A
It is practice.
In British usage practice with a c is the noun and practise with an s the verb - the same distinction as advice and advise, which is the way to remember it. The sentence needs the noun.
Computer Awareness [ Question No: 15 To 15 ] :
The output of an OR gate with three inputs, A, B, and C, is LOW when ________.
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: A = 0, B = 0, C = 0
An OR gate is LOW only when every input is LOW; a single 1 makes the output 1.
General Awareness / General Knowledge (GK) [ Question No: 16 To 20 ] :
Who was the First Chief Justice of the Rajasthan High Court?
Your Answer : (Not Answered)
Correct Answer : D
The first Chief Justice of the Rajasthan High Court was Kamal Kant Verma, usually spelt Kamla Kant Verma.
The High Court of Rajasthan was set up in 1949 when the princely states of the region were merged, with its seat at Jodhpur. Verma was its first Chief Justice, and K. N. Wanchoo, later Chief Justice of India, followed him.
Kailash Nath Wanchoo held the office, but as the second Chief Justice, so option A is a near miss. S. K. Mittal and Arun Kumar Mishra are later judges, so they cannot be the first. The year of the court's creation is the quickest check against such distractors.
How do vector vaccines work to provide immunity?
Your Answer : (Not Answered)
Correct Answer : C
Vector vaccines work by placing the virus in a modified version of a different virus.
A viral vector vaccine uses a harmless virus, such as a modified chimpanzee adenovirus in Covishield (Oxford-AstraZeneca), as a carrier. A gene from the target virus, for COVID-19 the gene for the spike protein, is placed in the vector, which delivers it to human cells; the cells make the protein and the immune system learns to recognise it.
Introducing a weakened or inactivated virus describes attenuated and inactivated vaccines. Vaccines do not attack pathogens directly; the immune system does. Entering cells to make spike proteins describes the effect of mRNA vaccines rather than the defining mechanism of a vector vaccine.
Your Answer : (Not Answered)
Correct Answer : D
All of these are dimensionless.
Angle is arc divided by radius, so \(\mathrm{L/L}\); strain is change in length divided by original length, again \(\mathrm{L/L}\); and specific gravity is a ratio of two densities. Each is a pure number, which is why the radian is called a supplementary rather than a base unit.
Your Answer : (Not Answered)
Correct Answer : C
Electric current is measured with an ammeter, connected in series with the circuit so the whole current passes through it.
Its resistance is made very low so that inserting it barely changes the current. A voltmeter, by contrast, has a very high resistance and is connected in parallel.
Your Answer : (Not Answered)
Correct Answer : A
Hymns of Jayadeva are included.
The Guru Granth Sahib incorporates the verse of fifteen bhagats besides the Gurus - Kabir, Namdev, Ravidas, Farid, Jayadeva and others - drawn from different regions, castes and both Hindu and Muslim backgrounds.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20