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 3 ] :
If 5(3x + 4) − 8(6x + 7) = 9x − 8, then what is the value of \((x^{2} - 2x + 1)\) ?
When 75% of a two-digit number is added to it, the digits of the number are reversed. Find the ratio of the unit's digit to the ten's digit in the original number.
Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?
Reasoning [ Question No: 4 To 9 ] :
Direction for [ Question No: 4 To 4 ] :
Directions : These questions are based on the following information.
Pavan, Sravan, Charan, Tarun and Kiran are the top five rankers in a class, not necessarily in the same order. Each of these five is of a different height. The tallest person is the fourth ranker while Kiran is the second ranker. Tarun is taller than at least two persons and is the third ranker. The shortest person is the first ranker but he is not Charan. Sravan is taller than only one person and Tarun is taller than Kiran.
Who is the fourth ranker ?
Direction for [ Question No: 5 To 5 ] :
Six friends are sitting in a circle and are facing the centre of the circle. Deepa is between Prakash and Pankaj. Priti is between Mukesh and Lalit. Prakash and Mukesh are opposite to each other.
Who are the neighbours of Mukesh ?
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: In view of the violent situation due to students' agitation the state government has decided to close down all the educational institutions in the state for two weeks with immediate effect.
Assumptions:
1. The students' agitation may subside after two weeks.
2. The students may not find a place to come further and continue agitation after the closure of the educational institutions.
Direction for [ Question No: 7 To 7 ] :
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.
Cub : Tiger : : Fawn : ?
A question is given, followed by two statements labelled I and II. Read the question and the statements, and decide whether the data provided in the statements are sufficient/necessary to answer the question.
Question:
J, K, L, M and N are standing in a row facing north. Who is in the middle of the row?
Statements:
I. J is to the immediate right of L and immediate left of M.
II. Only N is standing to the left of K.
Six friends, A, B, C, D, E and E, are sitting around a round table facing toward the centre and equidistant from each other. A is sitting second to the left of C. D is sitting opposite to B. F is sitting to the immediate right of B. Who is sitting second to the right of E?
General Awareness / General Knowledge (GK) [ Question No: 10 To 20 ] :
Who built "Neer Mahal" near Melagarh in Tripura ?
Which of the following river drain into Bay of Bengal ?
Which of the following district the Gotmar fair held ?
Who is the first Indian to win a grand slam tournament?
International Day of Rural Women is observed on __:
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 3 ] :
If 5(3x + 4) − 8(6x + 7) = 9x − 8, then what is the value of \((x^{2} - 2x + 1)\) ?
Your Answer : (Not Answered)
Correct Answer : D
The value of \(x^{2} - 2x + 1\) is \(\frac{25}{9}\).
Solve the equation first:
\[ \begin{aligned} 15x + 20 - 48x - 56 &= 9x - 8 \\ -33x - 36 &= 9x - 8 \\ -42x &= 28 \\ x &= -\tfrac{2}{3} \end{aligned} \]
Then \(x^{2} - 2x + 1 = (x - 1)^{2} = \left(-\tfrac{5}{3}\right)^{2} = \tfrac{25}{9}\).
\(\tfrac{2}{3}\) is the magnitude of x itself, \(\tfrac{4}{9}\) is \(x^{2}\), and \(\tfrac{5}{3}\) is \(|x - 1|\) before squaring.
When 75% of a two-digit number is added to it, the digits of the number are reversed. Find the ratio of the unit's digit to the ten's digit in the original number.
Your Answer : (Not Answered)
Correct Answer : C
Let the number be \( 10t + u \), with \( t \) the tens digit and \( u \) the units digit. Adding 75 per cent of it multiplies it by 1.75, and the result is the reversed number:
\[ 1.75\left(10t + u\right) = 10u + t \]
\[ 17.5t + 1.75u = 10u + t \]
\[ 16.5t = 8.25u \quad\Longrightarrow\quad \frac{u}{t} = \frac{16.5}{8.25} = 2 \]
So the units digit is twice the tens digit, a ratio of 2 : 1. The smallest number fitting is 12, and indeed \( 12 + 0.75(12) = 21 \).
Read the order carefully: the question asks unit to ten, so 1 : 2 is the same relationship stated backwards.
Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?
Your Answer : (Not Answered)
Correct Answer : A
Let Ben’s age now be \(B
\)
Anita's age now be \(A\)
\((A - 6) = P(B - 6)\)
But \(A\) is 17 and therefore, \(11 = P(B - 6)\)
\(\Rightarrow 11/P = B-6\)
\(\Rightarrow (11/P) + 6 = B\)
Reasoning [ Question No: 4 To 9 ] :
Direction for [ Question No: 4 To 4 ] :
Directions : These questions are based on the following information.
Pavan, Sravan, Charan, Tarun and Kiran are the top five rankers in a class, not necessarily in the same order. Each of these five is of a different height. The tallest person is the fourth ranker while Kiran is the second ranker. Tarun is taller than at least two persons and is the third ranker. The shortest person is the first ranker but he is not Charan. Sravan is taller than only one person and Tarun is taller than Kiran.
Who is the fourth ranker ?
Your Answer : (Not Answered)
Correct Answer : A
The fourth ranker is Charan.
Kiran is 2nd and Tarun 3rd. The first ranker is the shortest and is not Charan; Sravan is taller than one person, so he is not the shortest either. The first ranker is therefore Pavan, the shortest, and Sravan is the second shortest.
Charan and Sravan take ranks 4 and 5. The fourth ranker is the tallest, and Sravan is second shortest, so Charan is 4th and tallest, and Sravan 5th. Tarun is taller than Kiran, which fixes the middle heights.
| Rank | Person | Height order |
|---|---|---|
| 1 | Pavan | shortest |
| 2 | Kiran | 3rd shortest |
| 3 | Tarun | 4th shortest |
| 4 | Charan | tallest |
| 5 | Sravan | 2nd shortest |
Pavan is the first ranker, Tarun is stated to be third, and Sravan, as the second shortest, cannot be the tallest person who holds fourth rank.
Direction for [ Question No: 5 To 5 ] :
Six friends are sitting in a circle and are facing the centre of the circle. Deepa is between Prakash and Pankaj. Priti is between Mukesh and Lalit. Prakash and Mukesh are opposite to each other.
Who are the neighbours of Mukesh ?
Your Answer : (Not Answered)
Correct Answer : C
Correct answer: Priti and Pankaj
Everyone faces the centre, so each person’s right is the next seat anticlockwise. Prakash and Mukesh sit opposite each other; Deepa must sit next to Prakash with Pankaj beyond her, and Priti next to Mukesh with Lalit beyond her. Clockwise the circle reads Prakash → Deepa → Pankaj → Mukesh → Priti → Lalit.
Mukesh sits with Pankaj on one side and Priti on the other.
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: In view of the violent situation due to students' agitation the state government has decided to close down all the educational institutions in the state for two weeks with immediate effect.
Assumptions:
1. The students' agitation may subside after two weeks.
2. The students may not find a place to come further and continue agitation after the closure of the educational institutions.
Your Answer : (Not Answered)
Correct Answer : E
Clearly, in such situations, closure is followed so as to prevent any untoward incident and with the hope that the stipulated time of closure is sufficient to settle the agitation by mutual talks or by adopting pressure tactics, as the agitators have no grounds to vent their anger due to closure of institutions. So, both I and II are implicit.
Direction for [ Question No: 7 To 7 ] :
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.
Cub : Tiger : : Fawn : ?
Your Answer : (Not Answered)
Correct Answer : A
Correct answer: Stag
The relation is young : the adult of the species. A cub grows into a tiger; a fawn grows into a stag - the male deer. A lamb becomes a sheep and a foal an ass or a horse.
A question is given, followed by two statements labelled I and II. Read the question and the statements, and decide whether the data provided in the statements are sufficient/necessary to answer the question.
Question:
J, K, L, M and N are standing in a row facing north. Who is in the middle of the row?
Statements:
I. J is to the immediate right of L and immediate left of M.
II. Only N is standing to the left of K.
Your Answer : (Not Answered)
Correct Answer : C
Both statements together are needed. Statement I alone gives the order L, J, M left to right but does not place K and N, so the middle person cannot be fixed. Statement II alone says only N is to the left of K, so N and K are the first two on the left, but the other three are unplaced. Together, N and K occupy the left end and the group L, J, M follows, giving N, K, L, J, M, so L is in the middle. Hence the data of both statements together are necessary. Each statement alone is not sufficient, and together they are sufficient, so the last option is wrong.
Six friends, A, B, C, D, E and E, are sitting around a round table facing toward the centre and equidistant from each other. A is sitting second to the left of C. D is sitting opposite to B. F is sitting to the immediate right of B. Who is sitting second to the right of E?
Your Answer : (Not Answered)
Correct Answer : D
The person second to the right of E is F. The printed list names E twice and never lists F, though the stem later mentions F, so the sixth friend is F. Facing the centre, a person's right is the anticlockwise neighbour. Put B at seat 0 and number the seats clockwise 0 to 5. D sits opposite B, so D is at 3. F is the immediate right of B, so F is at 5. A is second to the left of C, so A is two seats clockwise of C. Only seats 1, 2 and 4 remain for A, C and E, and only C = 2, A = 4 works, which leaves E at 1. Two seats anticlockwise of E (seat 1) is seat 5, which is F. A, B and D are the people at seats 4, 0 and 3, so none of them is second to E's right.
General Awareness / General Knowledge (GK) [ Question No: 10 To 20 ] :
Who built "Neer Mahal" near Melagarh in Tripura ?
Your Answer : (Not Answered)
Correct Answer : C
Neermahal was built by Maharaja Bir Bikram Kishore Manikya.
Neermahal, the 'water palace', stands in the middle of Rudrasagar lake near Melaghar in Sepahijala district. It was built as a summer residence for the Maharaja in the 1930s and blends Hindu and Mughal styles.
Dhanya Manikya was a fifteenth- and sixteenth-century ruler, and Bir Chandra and Radha Kishore Manikya ruled before Bir Bikram.
Which of the following river drain into Bay of Bengal ?
Your Answer : (Not Answered)
Correct Answer : A
The river that drains into the Bay of Bengal is the Chambal.
The Chambal rises in the Vindhyas near Mhow in Madhya Pradesh, flows through Rajasthan past Kota, and joins the Yamuna in Uttar Pradesh. The Yamuna joins the Ganga, which empties into the Bay of Bengal, so the Chambal belongs to the Bay of Bengal drainage.
The other three belong to the Arabian Sea side. The Luni ends in the Rann of Kutch, and the Sabarmati and the Mahi flow into the Gulf of Khambhat.
Which of the following district the Gotmar fair held ?
Your Answer : (Not Answered)
Correct Answer : C
The Gotmar fair is held in Chhindwara.
The Gotmar Mela takes place at Pandhurna on the day after the Pola festival. Villagers of Pandhurna and Savargaon on either side of the Jam river throw stones at each other while trying to capture a flag planted in the river. Pandhurna was in Chhindwara district at the time of the exam; it became a separate district in 2023.
Indore, Mandsaur and Khargone are in western Madhya Pradesh and have no connection with the fair.
Who is the first Indian to win a grand slam tournament?
Your Answer : (Not Answered)
Correct Answer : A
The first Indian to win a Grand Slam title was Mahesh Bhupati (Bhupathi).
Mahesh Bhupathi won the mixed doubles at the 1997 French Open with Rika Hiraki of Japan, the first Grand Slam title won by an Indian. He went on to win several more in doubles and mixed doubles.
Leander Paes won his first Grand Slam title, the French Open men's doubles with Bhupathi, in 1999. Sania Mirza's first Grand Slam title came in 2009. Ramanathan Krishnan reached two Wimbledon singles semi-finals (1960 and 1961) but never won a Grand Slam event.
Your Answer : (Not Answered)
Correct Answer : D
The Prevention of Cruelty to Animals Act was enacted in 1960.
It defines offences of cruelty to animals, regulates experimentation on them, and set up the Animal Welfare Board of India.
Your Answer : (Not Answered)
Correct Answer : B
DNA contains deoxyribose.
It differs from the ribose of RNA in lacking an oxygen at the 2′ position, which makes the molecule chemically more stable and better suited to storing information over a lifetime.
Your Answer : (Not Answered)
Correct Answer : A
V.V.S. Laxman stands for Vangipurapu Venkata Sai Laxman.
The Hyderabad batsman played 134 Tests and is best remembered for his 281 against Australia at Eden Gardens in 2001.
Your Answer : (Not Answered)
Correct Answer : D
The input-output interface controls data transfer between an external device, main memory and the CPU registers.
It resolves the differences in speed, word length and signalling between the fast processor and the slow peripheral, and handles the handshaking between them.
Your Answer : (Not Answered)
Correct Answer : C
Thomas Alva Edison.
He did not invent the idea of the electric lamp but produced the first commercially practical one in 1879, with a carbonised filament in a high vacuum that burned for over forty hours. Joseph Swan in England developed one independently at the same time.
International Day of Rural Women is observed on __:
Your Answer : (Not Answered)
Correct Answer : B
The International Day of Rural Women is observed on 15 October.
The UN designated it in 2007. Rural women are more than a quarter of the world's population and produce much of its food, yet hold a small fraction of the land titles.
Your Answer : (Not Answered)
Correct Answer : C
The Polar Easterlies blow between about 60° and 90° in each hemisphere, from the polar high towards the sub-polar low.
The Trade Winds occupy roughly 0–30° and the Westerlies roughly 30–60°. All three belts are deflected by the Coriolis force, which is why the polar winds arrive from the east.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20