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iNautix Aptitude Paper
Posted on :31-03-2016
Q1. Six years before the current time, the ratio of ages of Kunal and Sagar were 6:5. Four years after this, the ratio of ages becomes 11:10. What is the current age of Sagar?
A. 16 yearsB. 20 yearsC. 18 yearsD. None of these
Q2. There are two trains measuring the same travelling in direction opposite to one another. It takes them 10 seconds and 15 seconds respectively to cross a telegraph post. If the train length is 120 metres, what is the time when they will cross each other?
A. 20 secondsB. 10 secondsC. 15 secondsD. 12 seconds
Q3. A merchant carries 1000 kilogram of sugar, part of this sugar he sells at 8% profit and rest is sold at 18% profit. Total net gain over the whole amount is 14%. What is the quantity sold at 18% profit?
A. 640 KGB. 560 KGC. 400 KGD. 600 KG
Q4. The reflex angle that a clock makes when the hands are at 10.25 is?
A. 197.5 DegreeB. 192.5 DegreeC. 180 DegreeD. 195 degree
Q5. A positive number which when increased by 17 is equal to 60 times the reciprocal of this number. Find it.
A. 17B. 3C. 10D. 20
Q6. A man buys a land and gives for it 20 times the annual rent. Find the rate of interest he gets for his money.
A. 10%B. 24%C. 45%D. 18%E. 5%
Explanation:let annual rent is 1 Rs. so buys the land at 20 Rs. So by investing Rs.20 he is getting Rs.1 as interest. so on Rs.100 he gets Rs.5 . so rate%=5%.Hence option E is the answer.
Q7. A circle has two parallel chords of lengths 6 cm and 8 cm. If the chords are 1 cm apart and the centre is on the same side of the chords, then the diameter of the circle is of length:
A. 5 cmB. 6 cmC. 10 cmD. 12 cm
Explanation:In the given figure, EB = 3 cm, FD = 4 cm, EF = 1 cmLet OF = a cmIn triangle OFD, r2 = a2 + 42 & in triangle OEB, r2 = (a+1)2 + 32Solving the above two equations, we get a = 3cmPutting the value of a in any of the above equation, we get r = 5 cmTherefore, diameter = 10 cm
Q8. In how many different ways can the letters of the word PARTY be arranged?
A. 120B. 2005C. 2400D. 720E. None of these
Q9. A basket contains 3 blue, 5 black and 3 red balls. If two balls are drawn at random, what is the probability that none of them is blue?
A. 22/55B. 3/55C. 28/55D. 9/11E. None of these
Q10. Ramesh takes twice as much time as Mahesh and thrice as much time as Suresh to complete a job. If working together, they can complete the job in 4 days, then the time taken by each of them separately to complete the work is
A. 36, 24 and 16 daysB. 20, 16 and 12 daysC. 24, 12 and 8 daysD. None of these
Explanation:We are given that R = 2M = 3S. This means that Suresh is thrice efficient than Ramesh and Mahesh is twice efficient than Ramesh. So let us assume that Ramesh can do 1 unit work per day. so Mahesh will do 2 units per day and Suresh will do 3 units of the work per day. So the total work done by all three in one day is 6 units. Now they together take 4 days to complete the work. So the total work is 6 x 4 = 24 units and individually Ramesh, Mahesh and Suresh will take 24 days, 12 days and 8 days respectively.
Q11. A basket contains 3 blue, 5 black and 3 red balls. If 2 balls are drawn at random, what is the probability that one is black and one is red?
A. 2/11B. 8/11C. 9/11D. 3/11E. None of these
Explanation:Selecting 1 black ball out of 5 - 5C1 ways Selecting on red ball out of 3 - 3C1 ways The required probability =
Q12. In a rhombus ABCD the diagonals AC and BD intersect at the point (3, 4). If the point A is (1, 2), the diagonal BD has the equation
A. x - y - 1 = 0B. x - y + 1 = 0C. x + y - 1 = 0D. x + y - 7 = 0
Explanation:Slope of AC = (2-4)/(1-3) = 1. As diagonals in a rhombus bisect each other at 90°, so slope of BD = -1. Also diagonal BD has to lie on the point (3, 4), so equation of the line is y - 4 = - 1(x - 3) => x + y – 7 = 0.
Q13. What will be the compound interest on a sum of Rs. 7200/- at 5 p.c.p.a. in 2 years?
A. Rs. 841/-B. Rs. 738/-C. Rs. 793/-D. Rs. 812/-E. Rs.694/-
Q14. A & B together can complete a piece of work in 16 days, B alone can complete the same work in 24 days. In how many days can A alone complete the same work?
A. 34 daysB. 50 daysC. 48 daysD. 42 daysE. None of these
Explanation:Let A alone can complete the work in x days and B alone can complete the work in 24days. Therefore, according to the given conditions, 1/x + 1/24 = 1/16 1/x = 1/48 So, As one day work is 1/48 which means that A will complete the entire work in 48days.Therefore, the answer is option C.
Q15. An express train travelled at an average speed of 100 kmph, stopping for 3 minutes after every 75 km. A local train travelled at a speed of 50 kmph, stopping for 1 minute after every 25 km. If the trains began travelling at the same time, how many kilometres did the local train travel in the time it took the express train to travel 600 km?
A. 900 kmB. 307.5 kmC. 1200 kmD. 100 km
Explanation:For 600 kms. The Express train needs 6 hrs. for the distance travelled @ 100 kmph and it will stop for ( 600/75 )= 8. So there must be 7 stoppages in between where it stops for 3 min. each totalling upto 21 min. So total time will be 6 hrs.21 min.
Now the Local train travelling @ 50 kmph will cover 300 kms. in 6 hrs and in rest 9 min. it will travel 7.5 kms.( 300/25=12 stoppages where it will stop for 12 min. So, 21- 12 = 9 ). The total distance becomes 300 + 7.5 = 307.5 km.ALTERNATE SOLUTION:We can also think that since speed of express train is double the local speed, so local train will travel less than 600 km, Only option b has such option and hence is the required answer.
Q16. Sunil bought 20 dozen toys at Rs 375 per dozen. Every toy was sold at the rate of Rs 33. What is the total profit %?
A. 6.5B. 5.6C. 3.5D. 4.5
Q17. A mans father at the age of his birth was 38 years old while his mother at the same time was 36 years old when his brother 4 years younger to him was born. Find the exact difference of ages of the parents?
A. 8 yearsB. 4 yearsC. 2 yearsD. 6 years
Q18. A rice trader mixes 26 kilograms of rice worth 20 rupee per kg with 30 kilograms of rice worth 36 rupee per kg at sells the resulting mixture at Rs 30 per kg. What is the profit %?
A. 4%B. 5%C. 10%D. 8%E. No profit no loss situation
Q19. A train which is 108 metres long is moving at the speed of 50 km/hr. It crosses a train which is 112 m long travelling in its opposite direction in 6 seconds. What is the speed of second train?
A. 82 km/hrB. 66 km/hrC. 54 km/hrD. 48 km/hr
Q20. In a day how many times are the hands of a clock in straight line but in opposite direction?
A. 20B. 24C. 48D. 22
For Q 21 to 23: Find the missing number:
Q21. 2, 6, 12, 20, 30, 42, 56, ___
A. 74B. 72C. 68D. 62
Q22. 3, 7, 6, 5, 9, 3, 12, 1, 15, ___
A. 3B. -1C. 18D. 13
Q23. 7, 26, 63, 124, 215, 342, ___
A. 481B. 511C. 391D. 481
For Q 24 to 26: Find the wrong number in the series:
Q24. 1, 1, 2, 6, 24, 96, 720
A. 720B. 96C. 6D. 2E. 24
Q25. 445, 221, 109, 46, 25, 11, 4
A. 221B. 25C. 46D. 109E. 11
Q26. 2880, 480, 92, 24, 8, 4, 4
A. 92B. 24C. 8D. 4E. 480
Q27. A milk vendor contains 2 milk cans. The first one has 25% water in it and rest milk. Second container contains 50% water and rest milk. How much more milk must be added to each containers to get 12 litres of a milk mixture where the ratio of milk to water is 5:3?
A. 7,5 LitresB. 5,7 LitresC. 6,6 LitresD. 4,8 Litres
Q28. A number contains 2 digits. It the digits of this number are interchanged in place and the number is added with the original number. The new number will be divisible by?
A. 11B. 5C. 9D. 3
Question 29 and 30 comprise of a statement/question and there are two statements numbered I and II given with it. Your job is to decide whether the data provided in these statements is enough to answer the question.
Read both the given statements and then:
i. Mark A if Statement I only is enough to answer the question and Statement II is not needed with respect to the question.
ii. Mark B if Statement II only is enough to answer the question and Statement II is not needed with respect to the question.
iii. Mark C if any of Statement I or Statement II are needed to answer the answer the question
iv. Mark D if the total data in Statement I and Statement II is not sufficient enough to answer the question.
v. Mark E if data in both the statements I and II is necessary to complete the logic in relevance to the statement mentioned above.
Q29. How long does it take for Machine B working alone to make m candles?
I. Machine A makes m candles in 10 minutes working alone.
II. Machine A and B working at the same time make m candles in 4 minutes.
A. AB. BC. CD. DE. E
Q30. X and Y together can complete a particular job in 7 days. B alone can perform the job in 20 days. How much work was performed by A?
I. X finished the job alone after X and Y worked together for a period of 5 days.
II. A part of the work completed by X could have been completed by Y and Z to complete the task.
A. AB. BC. CD. DE. E
DIRECTIONS for questions 31 to 32: In each of these questions a statement is followed by two courses of action numbered I and II. Assume everything in the statement to be true. Decide which of the suggested courses of action logically follow(s) for pursuing.
Q31. Statement: The availability of imported fruits has increased in the indigenous market and so the demand for indigenous fruits has decreased.
Courses of Action:
I. To help the indigenous producers of fruits, the Government should impose high import duty on these fruits, even if these are not of good quality.
II. The fruit vendors should stop selling imported fruits so that the demand for indigenous fruits would be increased.
A. if only course of action I followsB. if neither course of action I nor II followsC. if only course of action II followsD. if both courses of action I and II follow
Q32. Statement: The Librarian finds some cases in which the pages from certain books issued from the library are torn.
Courses of Action:
I. The Librarian should keep a record of books issued to each student, and if the pages are found torn, strict measures should be taken against the child who had been issued that book.
II. Some funds should be collected from the children collectively to renovate the library.
A. if only course of action I follows.B. if neither course of action I nor II followsC. if only course of action II followsD. if both courses of action I and II follow
DIRECTIONS for question 33: Pick out the most effective word from the given words to fill in the blanks to make the sentence meaningfully complete.
Q33. Two buses collided _____________ each other on the road.
A. betweenB. IntoC. OntoD. With
DIRECTIONS for questions 34 to 35: In each of the following questions, out of the given alternatives, choose the one which best expresses the meaning of the given word.
A. DecorationB. TortureC. ExtractD. Imprison
A. Ex-studentB. SaintC. DelicateD. Calm
DIRECTIONS for questions 36 to 40: Read the given passage and answer the questions.
Why do the vital organs of the body slow down on aging? Why do older people experience sleep disorders? A new study holds the molecular machinery of the master clock in the brain responsible for such malfunctions during old age. The study conducted by researchers at the University of Virginia and reported in the journal Proceedings of the National Academy of Sciences, compares the working of the vital organs to a wall full of clocks with a large dominant clock controlling the synchronization of the peripheral clocks.
The big clock continues to keep time, but as it ages, its connecting signal to the smaller docks weakens. Some of the smaller clocks eventually become desynchronized and some stop running. This weakening of the signal, rather than a problem with the central timekeeper itself, apparently is the cause of alterations in the biological timing system in aging mammals - possibly including humans, according to the researchers.
This may explain why older people experience sleep disorders the signal from the master clock in the brain has weakened, even as it keeps on ticking. This weakened output causes some of the peripheral clocks in other organs to eventually stop oscillating or to fall out of proper sync, causing sleep disruption and malaise, the report says. Lack of sleep can affect more than a persons level of alertness. In the long term, it can disrupt the bodys metabolism; affect eating cycles, lead to declining cognitive abilities and possibly, a shortened lifespan. Sleep disorders are also associated with Alzheimers disease.
Gene D. Block, professor of biology and one of the studys lead researchers, was quoted in the report as saying, Our new finding demonstrates that the molecular machinery of the master clock continues to function normally. Taken together with our earlier studies, this suggests that there may be an age-related failure of the conversion of the clocks molecular rhythm into the electrical or humeral signals that the brain uses for communication. These weakened central signals may fail to keep some peripheral clocks appropriately synchronized or, in some cases, even rhythmic.
The scientists studied tissues from the brain and other organs of older mice and measured the activity of a gene that is a part of the biological clock. They found that the central dock in the brain, the supra chiasmatic nucleus, maintained proper periodicity and synchronization. Clocks in some peripheral organs, such as the liver and kidney of older animals, were either improperly synchronized or had lost rhythm entirely. This new knowledge could eventually lead to new therapies for age-related desynchronization, Block said. Arrhythmic or improperly synchronized tissues of old animals could possibly be stimulated by a treatment to oscillate normally.
Q36. What was the breakthrough achieved, as a result of the scientists effort?
A. The discovery of the fact that the clocks in some peripheral organs were either improperly synchronized or had lost their rhythm completelyB. The observation that the brain uses humeral signals for communicationC. The knowledge that the oscillation is necessary to maintain a persons level of alertnessD. None of these
Q37. Which of the following sentences is incorrect, according to the passage?
A. There is a similarity in the functioning of the brain and the vital organs of the human body with that of a wall full of clocks and the big clock synchronizing themB. The study of tissues from the brain and other organs of mice helped scientists discover that even though the supra chiasmatic nucleus maintained time properly, the clocks in the peripheral organs were either out of sync or had lost rhythm entirely.C. The molecular machinery of the brain is responsible for the entire malfunctioning occurring at older agesD. None of these
Q38. Which of these factors is held responsible for the slowing down of the vital organs in old age as laid down in the passage?
A. Molecular machinery of the master clock and the peripheral clocks in the brainB. Weakening of the signals from the master clock in the brainC. Master clock in the brainD. Sleep disorders
Q39. Which of the following sentences is incorrect, according to the passage?
A. The connecting signals of the big clock fail as it ages.B. The brain uses humeral signals, which are converted from the clocks molecular rhythm.C. Alterations in the biological timing system are restricted to lower mammals only.D. None of these
Q40. Which of the following sentences is true, in the context of the passage?
A. The brain of a guinea pig was used for the tissue experimentationB. The big clock is directly synchronized to smaller clocks through tissuesC. Declining cognitive abilities may be traced to sleeplessnessD. None of these
Q41. A has a son B who is married to C whose sister D is wife of E who is Bs brother. How is D related to A?
A. Sister in lawB. Daughter in lawC. SisterD. Cousin
Q42. In a certain code some things are mentioned in a particular way:
i. X3Y means that X is the mother of Yii. X4Y means that X is the brother of Yiii. X9Y means that X is the husband of Yiv. X5Y means that X is the daughter of Y
Which of these statements means that K is the mother in law of M?
A. M9N3K4JB. K3JN4MC. M9N5K3JD. K5J9M3N
For Q 43 to 45: Determine which would the correct statement suiting the analogy:
Q43. Cassock: Priest:: ???: Graduate
A. GownB. TieC. CoatD. Cap
Q44. Ice: Cold:: Earth: ???
A. WeightB. JungleC. SeaD. Gravitation
Q45. Race: Fatigue:: Fast: ???
A. HungerB. RaceC. LazinessD. Food