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 ] :
If \(pqr \neq 0\) and \(p^{-x} = \frac{1}{q}, q^{-y} = \frac{1}{r}, r^{-z} = \frac{1}{p}\), what is the value of the product \(xyz\)?
A sphere with surface area \( \dfrac{792}{7} \) sq. cm has a volume of ____
Find the remainder when PP is divided by 9?
A trader mixes \(26 kg\) of rice at \(Rs. 20\) per kg with \(30 kg\) of rice of other variety at \(Rs. 36\) per kg and sells the mixture at \(Rs. 30\) per kg. His profit percent is:
Reasoning [ Question No: 5 To 9 ] :
Direction for [ Question No: 5 To 5 ] :
In each question below is given a statement followed by two courses of action numbered I and II. You have to assume everything in the statement to be true and on the basis of the information given in the statement, decide which of the suggested courses of action logically follow(s) for pursuing.
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: Researchers are feeling agitated as libraries are not equipped to provide the right information to the right users at the right time in the required format. Even the users are riot aware about the various services available for them.
Courses of Action:
1. All the information available to the libraries should be computerised to provide faster services to the users.
2. Library staff should be trained in computer operations.
Direction for [ Question No: 6 To 6 ] :
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: "Everyone desires to buy a personal computer", statement of a college student.
Assumptions:
1. Personal computers are not a need but a luxury.
2. Use of personal computers improves quality of skill.
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?
Gaurav ranks eighteenth from the top in a class. What is his rank from the last?
Statements:
1. There are 47 students in the class.
2. Jatin who ranks 10th in the same class, ranks 38th from the last.
Pointing to a person, a man said to a woman, "His mother is the only daughter of your father." How was the woman related to the person ?
General Awareness / General Knowledge (GK) [ Question No: 10 To 19 ] :
Which of the following countries had per capita income less than India in 2023? Select the correct answer using codes given below:
(i) Srilanka
(ii) Bangladesh
(iii) Pakistan
(iv) Bhutan
Choose the most appropriate option from below :
Smt. Lakshmi Kumari Chundawat of Rajasthan received Padma Shri in which of the following field ?
Who among the following authors is known for his satires exposing the evils of contemporary society ?
The Sangai Festival is celebrated in __:
Who is the founder of Mahabalipuram ?
Current Affairs [ Question No: 20 To 20 ] :
Name the country with which India signed a civil nuclear co-operation agreement on 9th December 2016.
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 4 ] :
If \(pqr \neq 0\) and \(p^{-x} = \frac{1}{q}, q^{-y} = \frac{1}{r}, r^{-z} = \frac{1}{p}\), what is the value of the product \(xyz\)?
Your Answer : (Not Answered)
Correct Answer : C
The product is \(xyz = 1\).
Taking reciprocals, \(p^{-x} = \frac{1}{q}\) gives \(p^{x} = q\); likewise \(q^{y} = r\) and \(r^{z} = p\). Substitute each into the next:
\[ \begin{aligned} r &= q^{y} = (p^{x})^{y} = p^{xy} \\ p &= r^{z} = p^{xyz} \end{aligned} \]
So \(p^{xyz} = p^{1}\), and \(xyz = 1\) for a general base \(p\). The answer \(-1\) comes from forgetting that the negative exponents were cleared by the reciprocals, and \(\frac{1}{pqr}\) and \(pqr\) mix the bases into the exponents, which the equations never do.
A sphere with surface area \( \dfrac{792}{7} \) sq. cm has a volume of ____
Your Answer : (Not Answered)
Correct Answer : C
Find the radius from the surface area first, taking \( \pi = \tfrac{22}{7} \).
\[ 4\pi r^{2} = \frac{792}{7} \quad\Longrightarrow\quad r^{2} = \frac{792}{7} \times \frac{7}{4 \times 22} = \frac{792}{88} = 9 \]
\[ r = 3 \text{ cm} \]
\[ V = \frac{4}{3}\pi r^{3} = \frac{4}{3} \times \frac{22}{7} \times 27 = \frac{792}{7} \text{ cm}^{3} \]
The numerical coincidence is real, not a misprint: for \( r = 3 \) the surface area and volume come out to the same number, because \( \tfrac{V}{S} = \tfrac{r}{3} = 1 \).
Find the remainder when PP is divided by 9?
Your Answer : (Not Answered)
Correct Answer : C
We need to find sum of S of the digits of PP.
Till 999 each of the digits from 1 to 9 occurs equal number of times.
Total digit of all the numbers from 1 to 999 will be multiple of ∑9=45.
Hence,
S=45k+(1+0+0+0)
⇒ Required remainder = 1.
A trader mixes \(26 kg\) of rice at \(Rs. 20\) per kg with \(30 kg\) of rice of other variety at \(Rs. 36\) per kg and sells the mixture at \(Rs. 30\) per kg. His profit percent is:
Your Answer : (Not Answered)
Correct Answer : B
Cost Price of \(56 kg\) rice \(= Rs. (26 \times 20 + 30 \times 36) = Rs. (520 + 1080) = Rs. 1600.\)
Selling Price of \(56kg\) rice \(= Rs. (56 \times 30) = Rs. 1680.\)
\(\therefore\) Gain \(= (\frac{80}{1600} \times 100)\) % \(= 5\) %.
Reasoning [ Question No: 5 To 9 ] :
Direction for [ Question No: 5 To 5 ] :
In each question below is given a statement followed by two courses of action numbered I and II. You have to assume everything in the statement to be true and on the basis of the information given in the statement, decide which of the suggested courses of action logically follow(s) for pursuing.
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: Researchers are feeling agitated as libraries are not equipped to provide the right information to the right users at the right time in the required format. Even the users are riot aware about the various services available for them.
Courses of Action:
1. All the information available to the libraries should be computerised to provide faster services to the users.
2. Library staff should be trained in computer operations.
Your Answer : (Not Answered)
Correct Answer : E
Correct answer: Both I and II follow
The complaint is that libraries cannot give the right information at the right time and that users do not know what is on offer. Computerising the holdings answers the first, and training the staff to use the system is what makes the computerisation work. Both follow.
Direction for [ Question No: 6 To 6 ] :
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: "Everyone desires to buy a personal computer", statement of a college student.
Assumptions:
1. Personal computers are not a need but a luxury.
2. Use of personal computers improves quality of skill.
Your Answer : (Not Answered)
Correct Answer : D
Correct answer: Neither I nor II is implicit
The remark reports a desire and nothing more. Assumption I classes the computer as a luxury rather than a need, and assumption II claims it improves one’s skills - neither of which the statement requires. Neither is implicit.
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.
Gaurav ranks eighteenth from the top in a class. What is his rank from the last?
Statements:
1. There are 47 students in the class.
2. Jatin who ranks 10th in the same class, ranks 38th from the last.
Your Answer : (Not Answered)
Correct Answer : C
From 1, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last.
From 2, we conclude that there are 9 students above and 37 students below Jatin in rank. Thus, there are (9 + 1 + 37) = 47 students in the class.
So, Gaurav who ranks 18th from the top, is 30th from the last.
Pointing to a person, a man said to a woman, "His mother is the only daughter of your father." How was the woman related to the person ?
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: Mother
The only daughter of your father can only be the woman herself. The sentence therefore says that she is the person’s mother - so the woman is his mother.
General Awareness / General Knowledge (GK) [ Question No: 10 To 19 ] :
Which of the following countries had per capita income less than India in 2023? Select the correct answer using codes given below:
(i) Srilanka
(ii) Bangladesh
(iii) Pakistan
(iv) Bhutan
Choose the most appropriate option from below :
Your Answer : (Not Answered)
Correct Answer : A
Only Pakistan had a lower per capita income than India in 2023, so the answer is Only (iii) is correct.
World Bank figures for 2023 put India's GDP per capita at roughly 2,500 US dollars and Pakistan's at roughly 1,400 dollars, well below it.
Sri Lanka and Bhutan were both well above India, at more than 3,500 dollars. Bangladesh is the trap: its per capita income has been slightly above India's in recent years, so it does not belong on the list either. That rules out every option that includes (ii), (i) or (iv).
Smt. Lakshmi Kumari Chundawat of Rajasthan received Padma Shri in which of the following field ?
Your Answer : (Not Answered)
Correct Answer : D
She received the Padma Shri for Literature and Education.
Rani Lakshmi Kumari Chundawat (1916-2014) was a writer who collected and retold Rajasthani folk tales and wrote in Rajasthani and Hindi, and she was honoured with the Padma Shri in 1984 in the field of literature and education. She was also a member of the Rajasthan Legislative Assembly and of the Rajya Sabha.
Her award was not in trade and industry, social work or civil service.
Your Answer : (Not Answered)
Correct Answer : D
The Indian Museum Act was enacted in 1910.
It constituted the board of trustees of the Indian Museum, Calcutta - founded in 1814 and the oldest museum in India - and vested its collections in them.
Your Answer : (Not Answered)
Correct Answer : D
Ammonia is by far the most soluble of these gases in water.
About 700 litres of ammonia dissolve in one litre of water at room temperature, because \(\mathrm{NH_3}\) hydrogen bonds to water and partly reacts with it. Carbon dioxide dissolves to less than one litre per litre, nitrogen barely at all.
Your Answer : (Not Answered)
Correct Answer : B
Sound waves in air are longitudinal.
The air molecules oscillate along the direction of travel, producing compressions and rarefactions. This is why sound cannot be polarised: polarisation requires vibration perpendicular to the direction of propagation.
Your Answer : (Not Answered)
Correct Answer : D
Vinton Cerf and Robert Kahn developed it.
Their 1974 paper set out TCP, later split into TCP and IP, which lets networks of different kinds carry one another's traffic. That is what turned a collection of separate networks into an internet.
Who among the following authors is known for his satires exposing the evils of contemporary society ?
Your Answer : (Not Answered)
Correct Answer : A
It was Kshemendra.
The eleventh-century Kashmiri writer produced satires such as Narmamala and Desopadesa, exposing corrupt officials, false ascetics and greedy physicians - a rare source for the social life of his time.
The Sangai Festival is celebrated in __:
Your Answer : (Not Answered)
Correct Answer : B
The Sangai Festival is held in Manipur.
Held every November since 2010, it is named after the Sangai, the brow-antlered deer found only in the floating meadows of Loktak Lake and the state animal of Manipur.
Who is the founder of Mahabalipuram ?
Your Answer : (Not Answered)
Correct Answer : A
It was Narasimhavarman I.
The Pallava king, called Mamalla, gave Mamallapuram its name and had the five rathas and the great relief of Arjuna's penance cut there in the seventh century. His father Mahendravarman I began the rock-cut mandapas.
Your Answer : (Not Answered)
Correct Answer : C
The 2001 census recorded 933 females per thousand males.
The ratio had fallen through most of the twentieth century, from 972 in 1901 to a low of 927 in 1991, and rose slightly to 933 in 2001 and 943 in 2011. The child sex ratio, however, has continued to fall.
Current Affairs [ Question No: 20 To 20 ] :
Name the country with which India signed a civil nuclear co-operation agreement on 9th December 2016.
Your Answer : (Not Answered)
Correct Answer : A
The country is Vietnam.
India and Vietnam signed an agreement on cooperation in the peaceful uses of nuclear energy in New Delhi on 9 December 2016, during the visit of the Chairperson of Vietnam's National Assembly.
The other countries do not fit that date. India's civil nuclear cooperation with Russia goes back decades, including the Kudankulam plant in Tamil Nadu, and India signed its civil nuclear agreement with South Korea in 2011. Nepal has no nuclear power programme with which such an agreement would be made.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20