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 ] :
When \(\frac{1}{4}\) is written as a rational number with denominator 12, then the numerator would be
In an industry, 10% of the employees have a salary of ₹20,000; 30% a salary of ₹25,000; 50% a salary of ₹30,000; 10% a salary of ₹40,000. What is the average salary?
\( \frac{2}{3} + \frac{4}{5} \) is-
Find the coordinates of the circumcenter of the triangle whose vertices are (8, 6), (8, -2) and (2, -2).
On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the object
Reasoning [ Question No: 6 To 8 ] :
Direction for [ Question No: 6 To 6 ] :
(i) There is a group of five persons – A, B, C, D and E.
(ii) One of them is a horticulturist, one is a physicist, one is a journalist, one is an industrialist and one is an advocated.
(iii) Three of them – A, C and advocate prefer tea to coffee and two of them – B and the journalist prefer coffee to tea.
(iv) The industrialist and D and A are friend to one another but two of these prefer coffee to tea.
(v) The horticulturist is C`s brother.
Who is an industrialist ?
Look at the gaps between successive letters rather than at the letters themselves, and complete the sequence.
B, C, E, H, L, ?
Pointing to Sahil, Neeru says, "I am the daughter of the only son of his grandfather." How Neeru is related to Sahil?
English Language [ Question No: 9 To 13 ] :
Direction for [ Question No: 9 To 9 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct? If the sentence is correct as it is, mark 'E' as the answer.
Direction for [ Question No: 10 To 10 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct?
Select the grammatically correct sentence:
1. He may be poor now but he appears to have been rich in his youth.
2. He may be poor now but he appears to be rich in his youth.
3. He may be poor now but he appears being rich in his youth.
4. He may be poor now but he appears to rich in his youth.
Direction for [ Question No: 11 To 11 ] :
In the following questions four alternatives are given for the idiom/phrase italicised and underlined in the sentence. Choose the alternative which best expresses the meaning of idiom/phrase.
Direction for [ Question No: 12 To 12 ] :
In each of the following questions, choose the word opposite in meaning to the given word.
Where did you buy this book _____ ?
General Awareness / General Knowledge (GK) [ Question No: 14 To 20 ] :
Udaipur region lies under which of the following agro-climatic zone of Rajasthan?
Which of the following is correct in context of Rajasthan state Human Rights Commission ?
"Macedonian" is the official language of _____
The Parliament can restrict or abrogate by law, fundamental rights with respect to
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 5 ] :
When \(\frac{1}{4}\) is written as a rational number with denominator 12, then the numerator would be
Your Answer : (Not Answered)
Correct Answer : C
The numerator is 3.
To change the denominator from 4 to 12, multiply top and bottom by 3:
\[ \begin{aligned} \frac{1}{4} &= \frac{1 \times 3}{4 \times 3} \\ &= \frac{3}{12} \end{aligned} \]
8 is what you get by subtracting 4 from 12 instead of dividing, and the negative options would change the sign of a positive fraction, which multiplying top and bottom by the same number never does.
In an industry, 10% of the employees have a salary of ₹20,000; 30% a salary of ₹25,000; 50% a salary of ₹30,000; 10% a salary of ₹40,000. What is the average salary?
Your Answer : (Not Answered)
Correct Answer : A
The average salary is ₹28,500.
Weight each salary by the share of employees earning it:
\[ \begin{aligned} &0.1 \times 20000 + 0.3 \times 25000 \\ &+ 0.5 \times 30000 + 0.1 \times 40000 \\ &= 2000 + 7500 + 15000 + 4000 = 28500 \end{aligned} \]
The simple average of the four salary levels, (20,000 + 25,000 + 30,000 + 40,000)/4 = ₹28,750, ignores the different numbers of employees. ₹36,500 and ₹19,000 lie outside any sensible weighting, and ₹24,000 is too low because half the staff earn ₹30,000.
\( \frac{2}{3} + \frac{4}{5} \) is-
Your Answer : (Not Answered)
Correct Answer : C
The sum is \( 1\frac{7}{15} \).
Use the common denominator 15:
\[ \begin{aligned} \frac{2}{3} + \frac{4}{5} &= \frac{10}{15} + \frac{12}{15} \\ &= \frac{22}{15} = 1\frac{7}{15} \end{aligned} \]
\( \frac{6}{8} \) is the common error of adding numerators and denominators separately. \( \frac{8}{15} \) multiplies the numerators over the common denominator, and \( 1\frac{6}{15} \) is one fifteenth short of the true sum.
Find the coordinates of the circumcenter of the triangle whose vertices are (8, 6), (8, -2) and (2, -2).
Your Answer : (Not Answered)
Correct Answer : A
First, notice the vertices. The side from (8, 6) to (8, -2) is a vertical line (x=8). The side from (8, -2) to (2, -2) is a horizontal line (y=-2). This means they are perpendicular, and the triangle is a right-angled triangle with the right angle at (8, -2).
In a right-angled triangle, the circumcenter is the midpoint of the hypotenuse.
The hypotenuse connects the vertices (8, 6) and (2, -2).
Midpoint = \((\frac{8+2}{2}, \frac{6+(-2)}{2}) = (\frac{10}{2}, \frac{4}{2}) = (5, 2)\).
On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the object
Your Answer : (Not Answered)
Correct Answer : A
Both objects lie on the same side, so their distances subtract. Depression from the top equals elevation from the ground.
\[ d_{45} = \frac{600}{\tan 45^{\circ}} = 600 \text{ m} \]
\[ d_{60} = \frac{600}{\tan 60^{\circ}} = \frac{600}{\sqrt{3}} = 200\sqrt{3} = 346.4 \text{ m} \]
\[ 600 - 346.4 = 253.6 \approx 254 \text{ m} \]
The steeper \( 60^{\circ} \) sighting belongs to the nearer object. Adding the distances would be right only if the objects straddled the tower.
Reasoning [ Question No: 6 To 8 ] :
Direction for [ Question No: 6 To 6 ] :
(i) There is a group of five persons – A, B, C, D and E.
(ii) One of them is a horticulturist, one is a physicist, one is a journalist, one is an industrialist and one is an advocated.
(iii) Three of them – A, C and advocate prefer tea to coffee and two of them – B and the journalist prefer coffee to tea.
(iv) The industrialist and D and A are friend to one another but two of these prefer coffee to tea.
(v) The horticulturist is C`s brother.
Who is an industrialist ?
Your Answer : (Not Answered)
Correct Answer : C
A prefers tea. So, from (iv), the industrialist and D prefer coffee. But, from (iii), B and the journalist prefer coffee. So, B is the industrialist and D is the journalist.
Now, A, C and advocate remain. Clearly, E is the advocate.
The horticulturist is C's brother. It can be only A. C is a physicist.
|
|
A |
B |
C |
D |
E |
|
Profession |
Horticulturist |
Industrialist |
Physicist |
Journalist |
Advocate |
|
Profession |
Tea |
Coffee |
Tea |
Coffee |
Tea |
Hence, B is an industrialist.
Look at the gaps between successive letters rather than at the letters themselves, and complete the sequence.
B, C, E, H, L, ?
Your Answer : (Not Answered)
Correct Answer : B
Correct answer: Q
The differences increase by one at every step: B to C is +1, C to E is +2, E to H is +3, H to L is +4, so the next must be +5. Five beyond L(12) is position 17, giving Q. Note that the terms are at positions 2, 3, 5, 8, 12, 17 - each is the previous plus the running count. P at 16 would follow from repeating the +4 step instead of increasing it. The running total of the gaps is 1, 3, 6, 10, 15 - the triangular numbers - so the position of the nth term is always the starting position plus a triangular number.
Pointing to Sahil, Neeru says, "I am the daughter of the only son of his grandfather." How Neeru is related to Sahil?
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: Sister
The only son of his grandfather is Sahil’s father. Neeru is that man’s daughter, so she is Sahil’s sister.
English Language [ Question No: 9 To 13 ] :
Direction for [ Question No: 9 To 9 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct? If the sentence is correct as it is, mark 'E' as the answer.
Your Answer : (Not Answered)
Correct Answer : D
It should read for a few moments.
Few without an article means hardly any; a few means a small number. The sentence means the intruder stood there briefly, so a few is required.
Direction for [ Question No: 10 To 10 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct?
Select the grammatically correct sentence:
1. He may be poor now but he appears to have been rich in his youth.
2. He may be poor now but he appears to be rich in his youth.
3. He may be poor now but he appears being rich in his youth.
4. He may be poor now but he appears to rich in his youth.
Your Answer : (Not Answered)
Correct Answer : A
It is sentence 1.
The appearing is present but what he appears to have been is past, so the perfect infinitive to have been is required. To be would place the wealth in the present, which contradicts in his youth.
Direction for [ Question No: 11 To 11 ] :
In the following questions four alternatives are given for the idiom/phrase italicised and underlined in the sentence. Choose the alternative which best expresses the meaning of idiom/phrase.
Your Answer : (Not Answered)
Correct Answer : C
It means for ever.
For good, or for good and all, means permanently and with no intention of returning.
Direction for [ Question No: 12 To 12 ] :
In each of the following questions, choose the word opposite in meaning to the given word.
Your Answer : (Not Answered)
Correct Answer : A
The opposite is confused.
Intelligible means able to be understood. Garbled is close to confused and belongs with it; foolish and dull describe the speaker rather than the clarity.
Where did you buy this book _____ ?
Your Answer : (Not Answered)
Correct Answer : B
The sentence reads Where did you buy this book from?
From marks the source or starting point, here the shop or person the book came from. 'Where did you buy it from?' is the natural spoken English question.
For would ask about purpose or price, at needs a place after it (at which shop) rather than ending the question with 'where', and along describes movement beside something. None of them fits after 'buy this book' in this question.
General Awareness / General Knowledge (GK) [ Question No: 14 To 20 ] :
Udaipur region lies under which of the following agro-climatic zone of Rajasthan?
Your Answer : (Not Answered)
Correct Answer : D
Udaipur lies in the Sub-humid Southern Plain Zone.
Of Rajasthan's ten agro-climatic zones, zone IVa, the Sub-humid Southern Plain and Aravalli Hills, covers Udaipur, Rajsamand, Bhilwara, Chittorgarh and Sirohi districts, with moderate rainfall and hilly terrain.
The Arid Western Plain covers Barmer and Jodhpur, the Irrigated North Western Plain covers Sri Ganganagar and Hanumangarh, and the Semi Arid Eastern Plain covers Jaipur, Ajmer, Dausa and Tonk.
Which of the following is correct in context of Rajasthan state Human Rights Commission ?
Your Answer : (Not Answered)
Correct Answer : B
The correct statement is that it was constituted on 18-01-1999 by notification issued by Govt. of Rajasthan.
The Rajasthan State Human Rights Commission was set up under the Protection of Human Rights Act, 1993 by a state government notification of 18 January 1999. It began functioning in March 2000, not October 2000, which rules out C.
The Act requires the chairperson of a state commission to be a retired Chief Justice or Judge of a High Court, not of the Supreme Court, which rules out A. And a state commission now consists of a chairperson and two members, not three, which rules out D.
"Macedonian" is the official language of _____
Your Answer : (Not Answered)
Correct Answer : C
It is North Macedonia.
Macedonian is a South Slavic language written in Cyrillic, closest to Bulgarian. Albanian was made co-official in 2019.
Your Answer : (Not Answered)
Correct Answer : D
The Road Transport Corporations Act was enacted in 1950.
It enabled states to set up road transport corporations to run public bus services, and is the statute under which the state transport undertakings were constituted.
Your Answer : (Not Answered)
Correct Answer : B
There are four isomers of \(\mathrm{C_4H_8}\) that are alkenes.
They are but-1-ene, cis-but-2-ene, trans-but-2-ene and 2-methylpropene. The first and last differ in the carbon skeleton (chain isomerism), but-1-ene and but-2-ene in the position of the double bond, and the two but-2-enes are geometrical isomers. Cyclobutane and methylcyclopropane share the formula but are not alkenes.
Your Answer : (Not Answered)
Correct Answer : C
The Land Improvement Loans Act was enacted in 1883.
It empowers government to advance loans to landowners for wells, embankments, drainage and similar permanent improvements, recoverable as arrears of land revenue.
The Parliament can restrict or abrogate by law, fundamental rights with respect to
Your Answer : (Not Answered)
Correct Answer : D
Parliament may restrict or abrogate fundamental rights for all three groups - the armed forces, forces charged with maintaining public order, and persons employed in intelligence organisations.
Article 33 permits it, so as to ensure the proper discharge of their duties and the maintenance of discipline. It is the only provision under which fundamental rights may be taken away outright from a class of citizens.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20