Section – 1: Quantitative Ability
1. If m is an integer, for what value of m is 3m < 100 < 3m+1?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
2. If p and r are prime numbers, which of the following must also be prime?
3. 2! + 4! + 6! + 8! + 10! + … 100! When divided by 5, would leave reminder
(A) 0 (B) 1 (C) 2 (D) 3 (E) 2 or 4
4. What will be the reminder when 13 raised to 36 is divided by 2196 ?
(A) 0 (B) 1 (C) 12 (D) 2195 (E) None of these
5. Seven bells ring at intervals of 2,3,4,6,8,9 and 12 min respectively. They started ringing simultaneously at 6 a.m. How many more times would all seven bells ring simultaneously till 5 pm on the same day ?
(A) 8 (B) 9 (C) 10 (D) 12 (E) 7
6. A and B can do a piece of work in 10 days and 20 days respectively. Both starts the work together but A leaves the work 5 days before its competition time. Find the time in which work is finished ?
(A)20 days (B) 15 days (C) 25 days (D) 10 days (E) 5 days
7. Two cities P and Q are 110km apart. Person A started fro, city P at 7a.m at 20 km/hr and B started from city Q at 8 a.m at 25km/hr. At wjat time will they meet ?
(A)10 a.m (B) 11 a.m (C) 1 p.m (D) 12 noon (E) 9 a.m
8. In a mixture of 120 L, the ratio of milk and water is 2 : 3. If 30 L of mixture is replaced by 18 L of milk and 12 L of water, then new ratio of milk and water is
9. Equal sums of money are invested for 2 years at 10% compound interest — one payable annually and the other payable half-yearly. Find the approximate difference between the amounts at the end of 2 years if the sum invested was Rs. 5,000.
(A)Rs. 26.50 (B) Rs. 27.50 (C) Rs. 25.50 (D) Rs. 24.50 (E) None of these
10. There are 24 students in a class whose average marks in a subject is 89 out of 100. If 3 students leave the class, then what is the maximum by which the average could go up?
11. The height of Santosh is proportional to the square root of his age. What will be the height of Santosh at 16 years, if he is 4 ft tall at the age of 9 years?
(A)5 ft 4 inches (B) 5 ft 2 inches (C) 5 ft (D) 5 ft 3 inches (E) 5 ft 5 inches
12. In a group, there are 32 people. All of them know at least one of the three languages — Hindi, English and Marathi. 25 people know Hindi, 20 know English and 15 know Marathi. 15 people know Hindi and English. 5 people know English and Marathi. If 3 people know all the three languages, then how many people know Hindi and Marathi?
(A)9 (B) 8 (C) 13 (D) 10 (E) 11
13. The average age of a group of 12 students is 20years. If 4 more students join the group, the average age increases by 1 year. The average age of the new students is
(A) 24 (B) 26 (C) 23 (D) 22 (E) 21
14. Three mixtures containing water and alcohol in the ratio of 5:2, 6:1 and 4:3 are mixed in equal quantities. The ratio of water to alcohol in the resulting mixture is:
15. There are 2 spherical balls, each having a radius of 4cm. By melting both balls a bigger spherical ball is made. The radius of the new ball is:
16. A horse is tied with a rope of length 7m at one corner of a square field having side equal to 10m. Find the minimum possible area of the square field that is left ungrazed.
17. If the length of the rectangle is increased by 100% and the width is increased by 200%, what is the percentage change in the area of the rectangle?
18. By selling 6 dozen oranges, a person is losing selling price of 1 dozen oranges. Find his loss percentage ? (A)14.2% loss (B) 12.2% loss (C) 16.66% loss (D) 14.66% loss (E) Cannot be determined
19. $112,500 are divided among three bands Eagles, Doors and UB40 such that Eagles receives half as much as Doors and UB40 together received, and Doors receives ¼ th of what Eagles and UB40 receive together. The share of Eagles is more than that of Doors by
(A)$15,000 (B) $30,000 (C) $32,000 (D) $15,500 (E) $20,000
20. A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 9 p.m.?
21. If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be
(A) 90 seconds (B) 70 seconds (C) 60 seconds (D) 100 seconds (E) None of these
22. The solution to x2 +6x+9 = 0 is ……..
23. If 10 cats can kill 10 rats in 10 minutes how long will it take 100 cats to kill 100 rats
(A) 1 minutes (B) 10 minute (C) 100 minutes (D) 10000 minutes (E) None of these
24. The angle between the minute hand and the hour hand of a clock, when the time is 8.30
25. Ankita purchased a certain number of articles at a rate of 5 for 50 paise. If she has purchased them at a rate of 11 for one rupee, she would have spent 50 paise less. How many articles did Ankita purchase?
26. A purse contains Rs.130 in equal denominations of 50 paise and 5 paise. How may coins of each type are there?
(A)100 (B) 200 (C) 150 (D) 250 (E) None of these
27. Tina’s sister is younger to her by 3 years and her brother is elder to her by 4 years. The sum of the ages of Tina, her sister and her brother is 73 years. What is Tina’s age?
(A)22 years (B) 24 years (C) 20 years (D) 25 years (E) None of these
28. If a cube is cut into identical pieces by giving 8 cuts, each parallel to the same pair of faces, then maximum number of identical pieces that can be obtained by making two more cuts is ________
(A)27 (B)36 (C) 40 (D) 45 (E) None of these
29. How many of the smaller cubes have exactly one face painted?
(A)0 (B) 2 (C) 1 (D) 3 (E) None of these
30. If 15th July 1976 is a Monday, what day is Dec 20, 2018?
(A)Monday (B) Wednesday (C) Sunday (D) Thursday (E) None of these
Section – 2 : Logical Reasoning
Directions for question: Read the given information and answer the following questions based on it. The following figure represents a set of attributes for the participants of Miss X and the alphabets in these figures represent a particular participant having that particular attribute. The circle represents “Smartness”, the rectangle represents “Quick witted”, the square represents “Appearance”, the triangle represents “Education” and the octagon represents “Presentation”. The candidate fulfilling all of the given attributes is selected for the final round.
31. How many participants are selected for final round? A
(A) 1 (B) 2 (C) 3 (D) 4 (E) 0
32. If no other participant is allowed besides those shown in the figure, then how many participants are there?
(A) 24 (B) 25 (C) 26 (D) 23 (E) Cannot be determined
33. Who among the following participants has all the attributes except one of the attributes?
(A) y (B) f (C) e (D) q (E) w
34. How many participants fullfil at least three out of the given five attributes?
(A) 9 (B) 10 (C) 11 (D) 12 (E) None of these
35. How many participants fullfil exactly two out of the given five attributes?
(A) 5 (B) 6 (C) 7 (D) 8 (E) 4
Direction for question: In the question given below there are three statements followed by three conclusions. You have to read the given three statements and take them to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the conclusions logically follows from the given three statements, disregarding commonly known facts.
(i) Some softwares are files.
(ii) All files are folders.
(iii) Some folders are executable.
(i) Some softwares are executable.
(ii) All executables are files.
(iii) Some softwares are folders. C
(A) Either(i) or (ii) follows (B) Only (ii) follows (C) Only (iii) follows
(D) Both (ii) and (iii) follow (E) None follows
(i) Some scientists are democrats.
(ii) All democrats are players.
(iii) Some republicans are players.
(i) Some republicans are democrats.
(ii) Some republicans are scientists.
(iii) Some scientists are players. C
(A) Only (i) follows (B) Only (ii) follows (C) Only (iii) follows
(D) Both (i) and (ii) follow (E) Both (ii) and (iii) follow
Directions for question: Read the following information and answer the questions given below.
There are 8 friends: J, K, L, M, N, O, P and Q, who are sitting in a circle.
i. Q is sitting to the immediate right of N.
ii. O is sitting opposite to K, who has 2 people sitting between himself and J.
iii. L is sitting opposite to N and 2 seats to the left of O.
iv. O and M are neighbours.
38. Who is sitting to the immediate right of K?
(A) Q (B) P (C) L (D) J (E) M
39. Who is sitting opposite to Q?
(A) P (B) J (C) M (D) J or M (E) P or M
40. Who is sitting 2 seats to the left of L?
(A) K (B) O (C) M (D) Q (E) J
41. If J switches his place with the person opposite to him, then who of the following cannot be neighbour of J?
(A) Q (B) P (C) O (D) M (E) All of these
42. In a certain code COIMBATORE is written as DPJNCBUPSF. How is INDORE written in that code?
(A) JOENQF (B) JMCPQD (C) JOEPSF (D) HMCNQD (E) None of these
43. If 1 is coded as ?, 5 is coded as %, 6 is coded as «, 3 is coded as +, 7 is coded as # and 4 is coded as ? What will be the correct form of the number 435671?
(A) ? + % « # ? (B) ? + % ? # « (C) ? + « % # ? (D) ? # « % + ? (E) None of these
44. If all the letters in the word MERCIFUL are rearranged in alphabetical order and substituted by the alphabet preceding them in the English alphabet what will be the new arrangement of letters?
(A) BDHEKLQT (B) BDEHKLQT (C) BDEHLKQT (D) BDEJMLQT (E) None of these
Read the following information and attempt the given questions:
Six executive Aman, Bindu, Deepa, Jitu, Kamal and Priyanka have to advertise four products i.e. soap, watches, computers and chocolates on 3 different channels, i.e. Go, Come and Fun either alone or in pairs. An executive can visit only one channel and advertise only one product. No more than two executives can advertise on a channel.
(i) Bindu and Jitu both visit the same channel but advertise different products.
(ii) Aman who visits ‘Go’ advertises neither soap nor computers. (iii) Kamal does not advertise chocolates.
(iv) No girl advertises soap. (v) The two executives who advertise chocolates visit Spice
45. Who advertises watches?
(A) Deepa (B) Kamal (C) Aman (D) Priyanka (E) None of these
46. Which of the following Channel-product pairs in definitely incorrect?
(A) Go-watch (B) Come-computer (C) Go-soap (D) Come-soap (E) Come-watch
47. Which channel does Kamal visit?
(A) Go (B) Fun (C) Come (D) Cannot be determined (E) None of these
48. What will Jitu advertise?
(A) Chocolates (B) Watches (C) Computers or watches (D) Cannot be determined (E) None of these
Below is given a passage followed by several possible inferences which can be drawn from the facts stated in the passage. You have to examine each inference separately in the context of the passage and decide upon its degree of truth or falsity.
Mark answer (1): if the inference is “definitely true”, i.e. it properly follows from the statement of facts given.
Mark answer (2): if the inference is “probably true” though not “definitely true” in the light of the facts given.
Mark answer (3): if the data are inadequate, i.e. from the facts given you cannot say whether the inference is likely to be true or false.
Mark answer (4): if the inference is “probably false” thought not “definitely false” in the light of the facts given.
Mark answer (5): if the inference is “definitely false”, i.e. it cannot possibly be drawn from the facts given or its contradicts the facts.
Procurement of wheat is in full swing in the north-western states of India. By June end, public agencies are likely to end up with food grain stocks of about 40 to 42 million tones, the highest ever witnessed in the history of this country. This stock should be more than sufficient to ensure that the country’s “food security” is not endangered even if India faces two consecutive droughts. But strangely enough, while the granaries overflow, there is still widespread hunger in the country even without a drought. The estimates of poverty are being debated, but broadly one-third of India seems to remain underfed. And this co-existence of grain surpluses with large-scale hunger should make any serious policy- maker think and examine the existing policy mix with a view to ensure faster economic growth and reduction in poverty.
1) India’s food grains stock has been satisfactory over the past few years.
2) India, at present, is one of the countries in the world to have sufficient food for its people.
3) The distribution of food grains to the masses has remained a problem area for India.
4) The policy of India needs to be revamped to reduce the extent of poverty in the country.
5) India always maintains food grains stocks to withstand two consecutive droughts.
Directions (Q. 49-50): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions. Read both the statements and…
Give answer (1): if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Give answer (2): if the data in statement II alone are sufficient to answer the question, while the data in statements I alone are not sufficient to answer the question.
Give answer (3): if the data either in statement I alone or in statement II alone are sufficient to answer the question.
Give answer (4): if the data even in both statements I and II together are not sufficient to answer the question.
Give answer (5): if the data in both statements I and II together are necessary to answer the question.
Who is the shortest among P, Q, R, S and T?
Statements: I. Q is taller than T but shortest than S and R. II. P is not the shortest.
49. On which day of week did Mohan reach Delhi?
Statements: I. Mohan left Mumbai by train on Tuesday.
II. Mohan stayed for one day in Jaipur and completed his journey to Delhi in two days.
50. How many sons does P have?
Statements: I. T and S are brothers of R. II. The mother of S is the wife of R’s father.
Directions (Q. 51 & 52): Study the following information carefully and answer the questions given below:
A word arrangement machine when given an input line of words rearranges it in every step following a certain rule. Following is an illustration of an input line of words and various steps of rearrangement:
Input: gone are take enough brought station
Steps I: take gone are enough brought station
Steps II: take are gone enough brought station
Steps III: take are station gone enough brought
Steps IV: take are station brought gone enough And,
Step IV is the last for this input. Now find out appropriate step in each of the following question following the above rule.
51. Input: car on star quick demand fat. What will be the third step for this input?
(A) star car quick demand on fat (B) star quick car demand on fat
(C) star car demand quick on fat (D) star car quick on demand fat (E) None of these
52. If step III is “ ultra barrack save enough party lying”, which of the following would be the Input?
(A) ultra enough party save barrack lying (B) ultra barrack enough party save lying
(C) ultra enough barrack save party lying (D) enough ultra barrack save party lying (E) Cannot be determined
Directions (Q. 53 & 54): Read each sentence to find out where there is any error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer. If there is no error, the answer is 5). (Ignore the errors of punctuation, if any.)
53. (A) The place of consolidation of the (B) Indian auto industry depends over a
(C) great deal on the vision and (D) corporate policies of the parent companies overseas. (E) No error
54. (A) Since over a year now (B) the government has been
(C) talking big about the (D) second phase of forms. (E) No error
Directions (Q.55-57): In each of the following sentences there are two blank spaces. Below each sentence there are five pairs of words denoted by numbers 1), 2), 3), 4) and 5). Find out which pair of words can be filled up in the blanks in the sentence in the same sequence to make it meaningfully complete.
55. The teachings of Vedas are ______ even today, as they are a(n) ______ to living a better life.
(A) necessary, stepping (B) equivalent, alternate (C) ritualistic, advocate
(D) relevant, guide (E) symbolic, counsel
56. It is not ______ for ministers to resign on health or moral grounds or due to difference of ______ with the Prime Minister.
(A) striking, interest (B) uncommon, opinion (C) novel, ideal
(D) unfit, issues (E) concerning, words
57. _________ movements of the sensex as well as some of the major scripts during the past few weeks have led to ______ on the bourses.
(A) Upward, erosion (B) Doldrum, chaos (C) Chaotic, disapproval
(D) Volatile, confusion, (E) Surprising, flutter
Directions (Q58 to 60) : Choose the word that is opposite in meaning to the word:
(A) plebeian (B) vulgar (C) civil (D) restless (E) None of these
(A) coarse (B) rasping (C) provoking (D) smooth (E) None of these
(A) demand (B) entreat (C) beseech (D) sue (E) None of these