1) There are 729 cubes and from the edges the 1st, 3rd, 5th, 7th and 9th pieces are removed and the remaining are painted in black.
§ Find the number not coloured black
§ Find the number with 2 sides Black
§ Find the number with 1 side black
§ Find the number with 3 sides black
§ Find the number with more than 3 sides black
2) A teacher has 120 sweets with him. If there were 4 students less then each of the students will get one more each. Find the number of students
3) 54 27 30 15 18 9 _____
4) 3 eat 3 rasogulas in 3 minutes, how many minutes it will take for 12 to eat 12 rasagula
5) Flow in a pipe is three times that of the other. If it takes 24 hours for the slower pipe to fill a tank. Find the time if both works together
6) A tank is one fifth full and after one liter is added it becomes one fourth full. Find the capacity.
7) If Meena’s age was twice of her present age, when subtracted from four times three years from hence, with three times the three years before her present age. What will be her age after one year?
8) What is the maximum no. of 4 digit numbers formed from the digits 0,1,2,3 without the repetitions of numbers in the digits?
9) If X and Y are positive integers and if X-Y is always even , then which of the following is always true?
10) A man was given certain number of machines, through which he was able to complete a job in 3 days. If three more machines were given to the man, then he could complete the job in 2 days. If all the machines work on the same rate, then 1 machine will take how many days to complete a work?
11) An officer kept files on his table at various times in the order 1,2,3,4,5,6 .Typist can take file from top whenever she has time and type it. What order she can’t type.?
12) 4 weights are weighed in pairs. Weights of pairs are determined as 103,105,106,106,107,109. What is the minimum weight?
13) Out of 32 books the cost of 10 books is Rs. 50 each and he got a profit of 4%. He sells 15 books at a profit of 3.8461% on the selling price of Rs 70. The remaining cost is 576. The remaining books are sold at Rs 74. What is his total profit.
14) Three men A, B, C plays Cards. If one loses the game he have to give Rs.3. If he wins the game he will gain Rs.6. If A has won 3 Games, B loses Rs.3, C wins Rs.15.What is the total no. of games played?
15) A group of students are made to stand around in a circle. Starting from one student, they were asked to call number from 1 onwards. One after the other. The rule was that the student calling a number which is either a multiple of 7 or that has a digit sum of 7 should clap his hands. How many claps were there when they counted upto 1725?
16) In question 15 above let us assume that there are 11 students standing in a circle. Student No 1 started the process of calling numbers, followed by students 2, 3 and so on. They continued going around the circle and counted upto 500. The last person to clap must be _____ student number of the circle
Directions for Questions 17-19
Harbhajan and Kumble play for Delhi
In the first innings of a match against BCC in a tournament, Kumble took the first wicket and had 84 runs scored against him. Harbhajan had 252 runs scored against him but had a lower building average than Kumble [for the first innings). In this second innings, Kumble had 252 runs scored against him while Harbhajan had 84 runs scored against him and again Harbhajan’s average [for the second innings] was lower than Kumble’s.
Bit it was Harbhajan who lost in the match average and had to take Kumble out to dinner.
[Note: Maximum number of wickets that can be taken in an innings is 10]
17) How many wickets did Kumble take in the second innings?
a) 8 b) 7 c)4 d)cannot be determined
18) What is the bowling average of Harbhajan for the entire match?
a) 48 b) 42 c) 28 d) Cannot be determined
19) How many wickets did both Kumble and Harbhajan, put together, take for the entire match?
1) 14 2)15 3)12 4) 10
20) Find the area not occupied by circles: Given length =y breadth =x
21) A series is formed of single digits as follows. How many numbers are there in this series, which can be divided by either 2 or 3 . but not by both and is preceded by an odd number?
2 4 3 8 8 5 9 6 7 3 1 2 4 8 9 5 6 2 1 4 5 7 8 5 6 6 4 2 1 3
a) 4 b) 7 c) 8 d) None of these.
22) “Central college canteen captain, get me a cup of coffee! Can you?” How often does the number of ‘e’s exceed the number of ‘c’s in the above statement?
23) Candidates P and Q Contested in an election in a country where the voters pre-decide the candidate they will vote for by giving a promise before the polling day. As per the promises received from the voters, P was to win the election by a margin of 1 vote. However, on the day of election, 1/7th of the candidates who had promised to vote for P, voted for Q. similarly 1/9th of the candidates who had promised to vote for Q, shifted their votes to P. Q finally won the election by 1 vote. The total number of voters in the election must be.
24) A and B run in opposite directions from P on a circle with different but constant speeds. A runs in clockwise direction. They meet for the first time at a distance of 900 meters in clockwise direction from P and for the second time at a distance of 800 meters in anticlockwise direction from P. If B is yet to complete one round, the circumference of circle is
25) You have reached Utopia where you find two kinds of precious stones, rubies and emeralds. The worth of a ruby and that of emerald is Rs 4 lakhs and Rs 5 lakhs respectively while the weights are 0.3Kg and 0.4Kg respectively. You have a bag that can carry maximum .of 12Kgs. How many rubies and emeralds would you like to carry such that their total value is maximized
26) When the head of a military convoy is in line with a pole, a messenger on a motorcycle from the rear moves forward to give a message to the convoy commander who is traveling in the leading vehicle. The length of the convoy is 1 km. By the time the messenger, after giving the message comes back to join the rear of the convoy, he finds that the last vehicle of the convoy has just crossed the pole. If both the convoy and the messenger were traveling at constant speed, how much distance the messenger must have covered from the time he left the rear of the convoy till he joined it at his original place ?
27) On a particular day in a restaurant , 2/3rd of the customers had lunch , 10 customer had both lunch and dinner , 12 had dinner while 6 did not have either lunch or dinner but visited the restaurant with friends. How many customers in all visited the restaurant that day?
A Tourist has to visit six places P, Q, R, S T and U exactly only during the course of his tour. He decides to visit P before Q and T. He also decides to Visits Q before S and being somewhat superstitious, decides to visit R as his third place on the tour.
28) If the tourist visits U first, which place does he visit second?
29) If the tourist visits S just before T and immediately after U he must visit S as his ------- place?
30) A wood blog weights 30 kg. What will be the weight of the blog if its thickness is doubled and length is reduced to half.
31) In a particular language, the codes for some words are written as under ‘true’ is coded as qyxp, ‘star’ is coded as yxzr, ‘real’ is coded as rsyq, ‘stud’ is coded as ztpx, ‘tear’ is coded as yqrx: The letter ‘t’ is coded as
32) The letter ‘s’ is coded as
33) The ‘p’ represents the letter
Please read the following passage for answering Question 34
What is the difference between Junior beggars and Junior partners? If the Junior gives back some fraction of what he gets, insecurity of business terms, he is a partner. In NATO, European countries are Junior partners, providing some security and business to the US. To lesser extent that is true of Singapore,Taiwan and South Koriea. On the other hand, Junior beggars are those that get a lot and give little or nothing. Many African countries are Junior beggars. So too for decades, was India.
34) It can be concluded from the above passage that
a. Beggars can never become partners.
b. Whites are partners and blacks are beggars.
c. India is not tagged as one of the Junior beggars anymore.
d. Chinese and Japanese are neither partners not beggars.
35) In the adjoining figure,
Radius OA = 5 cm. BC = 6 cm. CD =2 cm. Find the area of shaded region.
Questions 36 and 37 are based on the following
Ram, Rahim and Robert were attending an Artists summit in Hyderabad. One of them was from Delhi, one from Lucknow and the third was from Patna. Each of them specialized in one art form. One was a painter, one was a singer and one was a dancer. The following additional information is known about them.
Ram was not from Lucknow and he always preferred sitting next to the dancer.
The painter was from Lucknow
Robert was from Delhi ?
36) Who is the dancer ?
1) Ram 2) Rahim 3) Robert 4) Insufficient data
37) Which of the following is true ?
A)The singer is from Patna
B) Ram is a painter
C) Ram sat next to Robert
1) A & B 2) A & C 3) B & C 4) A, B & C
38) Questions 38 and 39 are based on the following.
In a particular system of numerology , the English letters are assigned numerical values form 1 onwards as per the alphabetical order and are added till there is only one digit left. So alphabet ‘a’ is assigned a value of 1, b=2, c= 3 and so on. ‘India will have a numerical value of
39) One numerologist predicts the professor of the person based on the numerical values of their names. As per him, a person with 2 as the numerical value of his name will be a political leader, 4 a finance expert , 6 a consultant and 8 a businessman. According to this numerologist, “ Arvind Kumar’ will be a
1) Polictical Leader 2) Finance Expert 3) Consultant 4) Businessman
40) If six of the above companies represent the entire supply of mobile phones, what is the demand supply gap of mobile phones in July 2005?
a) Excess demand of 300 units
b) Zero
c) Excess supply of 100 units
d) Excess demand of 1000 units
41) The demand for company Q’s Phone approximately what percentage of the demand for the phones of company S?
1) 58 2) 70 3) 66 4) 27
42) The merger of which two companies will make their demand and supply equal? 1) Q & R 2) R & S 3) T & U 4) U & P
Please read the following passage carefully before answering Question 41
Apart from such endless instance of authorial desire to control meaning and interpretation – even as history actually slips out of their grip – there are other serious problems with this book. To name just one; this is elite history at its worst , a history that moves between congresses, conferences and resolutions, with no sense of any movement and ferment anywhere on the ground.
43) The above passage is a part of the review of a book. In this passage, the reviewer is trying to point out :
1) the author’s control over the theme of the book
2) How the congress was responsible for the elite history.
3) The negative aspects of this book
4) Serious problems arising out of control over the meaning and interpretation of history.
Questions 44 to 45 are based on the following: Following functions are defined.
- Max (a,b) = Maximum of ‘a’ & ‘b’
- Min (a,b) = minimum of ‘a’ &’b’
- ADV(a)= Integer value less than or equal to ‘a’
- DIS(a) - Integer value greater than or equal to ‘a’
- Mul (a,b) = Product of ‘a’ &’b’
- Div (a,b) = ‘a’ divided by ‘b’
- Add(a,b) = ‘a’ added to ‘b’
44) A number ‘x’ with two decimal points needs to be rounded off to the nearest integer. The function that makes it possible is
a) ADV(Mul(Div(Add(x,50),o.5),10))
b) DIS(Div(Add(Mul(x,100),50),100))
c) ADV(Div(Add(Mul(x,100),50),100))
d) DIS(DIV(Add(Mul(x,10),50), 100))
45) The greatest of a,b,c is to be multiplied by an integer ‘x’ where ‘x’ is a quotient of this greatest of {a,b,c} divided by the lowest of (a,b,c) “ which of the following functions can achieve this?
1) Mul(Max(Max(a,b), c),ADV(Div(Max(Max(a,b),c), Min(Min(a,b),c))))
2) Mul (Max(a,b),c), ADV(Div(Max(a,b),c), Div (Min(a,b)c)))
3) Mul(Max(Max((a,b),c)Div(Max(Max(a,b),c),Min(Min(a,b),c)))
4) Mul(a, (Max(b,c))
.
46) In town of 500 people, 285 read The Hindu and 212 read Indian express and 127read Times of India 20 read The Hindu and Times of India and 29 read The Hindu and Indian Express and 35 read Times of India and Indian express. 50 read no news paper. Then how many read all the three papers
Directions for Questions 47-48
A number of sentences are given below, which when properly sequenced form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentence among the four given choice to constitute the paragraph.
47)
a) This resulted in the state falling on tough times.
b) Once well known and envied for its power situation, the state virtually plunged into darkness.
c) The neglect of roads spelt doom for the development of the state causing untold miseries to its people.
d) Recent years saw gross neglect of the infrastructure
1) ACBD 2) CADB 3) DABC 4) BDCA
48)
a) The fate for lakhs of Indian villagers, then lies solely in Dhaka’s hands .
b) So far, they haven’t been successful.
c) Bangladesh is not likely to agree to this proposal.
d) Kolkata or New Delhi can do very little but pressure the Bangladeshi Government.
1) CADB 2) ACBD 3) DABC 4) BDCA
49) If x stands for subtraction
< stands for addition
+ stands for Multification
Ø Stands for division
/ stands for less than
= stands for greater than
- stands for equal to
Which of the following statements is true?
1) 8<4X6>2+3 = 12 X 3 +8>4<3
2) 22 X10 <24>6+2/35>5<3+2<12 X8
3) 32 X18>3<3X17 = 41X12+2X34X18<36 >6
4) 8 +3>4 X4+3= 18 X10+ 3 >6 X3
50) Please read the following passage carefully before answering Question Bringing spirituality to the workplace is bringing those thoughts to the workplace. We are materialistic when we believe and act as if life is all about gaining material success. To earn money for my family and me is the mission of life. A spiritual person is one with a greater vision. He may be doing exactly the same work but the conceives of a higher ideal, a broader perspective. He dedicates his life to the attainment of something beyond himself. His attention is on more than himself and his family. A higher ideal is something, which encompasses a wider circle of identification. It can be the organization the industry, the economy, or the country. A peon may conceive of this but at MD may not; whosever can work for something that is higher than his pay packet is working for a higher cause.
According to the passage.
1) Spirituality cannot be practiced at work place.
2) To earn money is considered as being not spiritual
3) Spirituality can be practiced any where when one has a greater vision
4) A person can become spiritualistic but not an MD
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