(1) Which is greater (A) 23000 (B) 32000 (a) A (b) B (c) Both are equal. (d) Cannot be Determined. (2) Which of the following fraction is the largest (a) 7/8 (b) 13/16 (c) 31/40 (d) 63/80 (3) The least perfect square, which is divisible by each of 21, 36 and 66 (a) 213444 (b) 214344 (c) 214434 (d) 231444 (4) If 6 men can do a piece of working 30 days of 9 hours each, how many men will it take to do 10 times the amount of work if they work for 25 days of 8 hours? (a) 44.5 (b) 60 (c) 81 (d) 90 (5) A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the liquid B is poured into the jar, the ratio becomes 2: 3. How many litres of liquid A were contained in the jar? (a) 4 litres (b) 16 litres (c) 12litres (d) 8 litres. (6) What will be the reminder if 7 divide the following summation? 1! + 2! + 3! + 4! + 5! + 6! +…..+ 99! + 100! (a) 4 (b) 3 (c) 2 (d) 5 (7) In this equation 2x+5 = 2x+3 + 6, the value of x is (a) 2 (b) 4 (c) -­‐2 (d) 3 (e) -­‐4 (8) Sarang, who can build a house in 20 days, took 76 days to build 7 houses when Narang joined him after 28 days, find how long Narang takes to build a house. (a) 12 days (b) 15 days (c) 18 days (d) 20 days (e) 22 days (9) If the arithmetic mean and geometric means of two numbers are 10 and 8 respectively, one of the numbers is (a) 16 (b) 18 (c) 8 (d) 9 (e) sqrt(18) (10) Sum of three numbers in an AP is 27 and their products are 648. What are the numbers (a) 6,9,12 or 12,9,6 (b) 10,20,30 or 30,20,10 (c) 1,2,3 or 3,2,1 (d) 6,12,18 or 18,12,6. (11) A sum of Rs 39 was divided among 45 boys and girls. Each girl gets 50 paise, whereas a boy gets one rupee. What are the number of boys and girls. (a) 40,5 (b) 33,12 (c) 35,10 (d) 30,15 (12) Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number, which is a multiple of 3 or 5? (a) ½ (b) 2/5 (c) 8/15 (d) 9/20 (13) A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? (a) 10/21 (b) 11/21 (c) 2/7 (d) 5/7 (14) In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? (a) 1/3 (b) 3/4 (c) 7/19 (d) 8/21 (e) 9/21 (15) How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeating (a) 15 (b) 96 (c) 216 (d) 120 (e) 625 (16) In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys? (a) 20 (b) 30 (c) 25 (d) 600 (e) 480 (17) There are two alloys A and B. Alloy A contains zinc, copper and silver, as 80% 15% and 5% respectively, whereas alloy B also contains the same metals with percentages 70%, 20%, 10% respectively. If these two alloys are mixed such that the resultant will contain 8% silver, what is the ratio of these three metals in the resultant alloy? (a) 74:18:8 (b) 78:26:12 (c) 82:32:16 (d) None of these (18-­‐20) But man is not destined to vanish. He can be killed, but he cannot be destroyed, because his soul is deathless and his spirit is irrepressible. Therefore, though the situation seems dark in the context of the confrontation between the superpowers, the silver lining is provided by amazing phenomenon that the very nations which have spent incalculable resources and energy for the production of deadly weapons are desperately trying to find out how they might never be used. They threaten each other, intimidate each other and go to the brink, but before the total hour arrives they withdraw from the brink.
The main point from the author's view is that (a) Man's soul and spirit cannot be destroyed by superpowers. (b) Man's destiny is not fully clear or visible. (c) Man's soul and spirit are immortal. (d) Man's safety is assured by the delicate balance of power in terms of nuclear weapons. (e) Human society will survive despite the serious threat of total annihilation. (19) The phrase 'Go to the brink' in the passage means. (a) Retreating from extreme danger. (b) Declare war on each other. (c) Advancing to the stage of war but not engaging in it. (d) Negotiate for peace. (e) Commit suicide. (20) 'Irrepressible' in the second line means (a) Incompatible (b)
(c)
(d)
(e)
Strong Oppressive Unrestrainable Unspirited (21) Synonym of the word SEQUESTER (a)
(b)
(c)
(d)
(e)
Segregate. Spasmodic. Soporific. Sanctify. Sanctimonious. (22) What is the difference in the degree measures of the angles formed by the hour hand and the minute hand hand of a clock at 12:35 and 12:36? (a) 1° (b) 5° (c) 5.5° (d) 6° (e) 30° Directions to solve In 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 question. Read both the statements and Give answer •
•
•
•
•
(A) 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 (B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question (D) If the data given in both statements I and II together are not sufficient to answer the question and (E) If the data in both statements I and II together are necessary to answer the question. (23) Question: How many children does M have? Statements: I.
H is the only daughter of X who is wife of M II.
K and J are brothers of M. (a) I alone is sufficient while II alone is not sufficient. (b) II alone is sufficient while I alone is not sufficient. (c) Either I or II is sufficient. (d) Neither I nor II is sufficient. (e) Both I and II are sufficient. (24) Question: In which year was Rahul born Statements: I.
II.
Rahul at present is 25 years younger to his mother. Rahul's brother, who was born in 1964, is 35 years younger to his mother. (a) I alone is sufficient while II alone is not sufficient. (b) II alone is sufficient while I alone is not sufficient. (c) Either I or II is sufficient. (d) Neither I nor II is sufficient. (e) Both I and II are sufficient. (25) Question: The last Sunday of March 2006 fell on which date? Statements: I.
II.
The first Sunday of that month fell on 5th. The last day of that month was Friday. (a)
(b)
(c)
(d)
(e)
I alone is sufficient while II alone is not sufficient. II alone is sufficient while I alone is not sufficient. Either I or II is sufficient. Neither I nor II is sufficient. Both I and II are sufficient. (26) Question: How many children are there between P and Q in a row of children ? Statements: I.
P is fifteenth from the left in the row. II.
Q is exactly in the middle and there are ten children towards his right. (a) I alone is sufficient while II alone is not sufficient. (b) II alone is sufficient while I alone is not sufficient. (c) Either I or II is sufficient. (d) Neither I nor II is sufficient. (e) Both I and II are sufficient. (27) Question: Who is C's partner in a game of cards involving four players A, B, C and D ? Statements: I.
II.
D is sitting opposite to A. B is sitting right of A and left of D. (a)
(b)
(c)
(d)
(e)
I alone is sufficient while II alone is not sufficient. II alone is sufficient while I alone is not sufficient. Either I or II is sufficient. Neither I nor II is sufficient. Both I and II are sufficient. (28) A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters? (a) 240 meters.
(b) 360 meters (c) 480 meters. (d) 540 meters. (e) 600 meters. (29) The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distance will the boat cover during the same time going against the stream?
(a) 100 (b) 60 (c) 80 (d) 40 (30) In this particular job we have discovered that to be diligent is more important than being bright
(a) by being intelligent is important than being bright. (b) being intelligent is important than being bright. (c) diligence is important than brightness. (d) for one to be diligent is important than being bright. (31) Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true? (a) (x-­‐z)2y is even. (b) (x-­‐z)2y2is odd. (c) (x-­‐z)y is odd. (d) (x-­‐y)2z is even. (32) If a merchant offers a discount of 40% on the marked price of his goods and thus ends up selling at cost price, what was the % mark up? (a) 12.57% (b) 33.34% (c) 66.67% (d) 50% (33) If apples are bought at the rate of 30 for a rupee. How many apples must be sold for a rupee so as to gain 20%? (a) 22 (b) 24 (c) 25 (d) 28 (34) In a 200m race, if A gives B a start of 25 metres, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 metres the race ends in a dead heat. How long does A take to run 200m? (a) 100 seconds (b) 110 seconds (c) 77.5 seconds (d) 87.5 seconds (35) The time in a clock is 20 minute past 2. Find the angle between the hands of the clock. (a) 60 degrees. (b) 120 degrees. (c) 45 degrees. (d) 50 degrees. (36) When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11? (a) 5/6 (b) 11/12 (c) 1/12 (d) 1/6 (37) A number is selected at random from first thirty natural numbers. What is the chance that it is a multiple of either 3 or 13? (a) 17/30 (b) 2/5 (c) 11/30 (d) 4/15 (38) The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the manager whose salary was Rs. 720, was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager? (a) Rs. 520 (b) Rs. 420 (c) Rs. 620 (d) Rs. 670 (e) Rs. 690 (39) The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2? (a) 11 (b) 13.5 (c) 11.5 (d) 12.5
(40) An ant climbing up a vertical pole ascends 12 metre and slips down 5 metre in every alternate hour. If the Pole is 63m high how long will it take to reach the top? (a) 18 hours. (b) 20 hours. (c) 17 hours 35min. (d) 16 hours 35min. (41) In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people? (a) 15!/(8!) (b) 7!*8! (c) (15C8)*6!*7! (d) 2*(15C7)*6!*7! (e) 15C8 * 8! (42) How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed? (a) 499
(b) 500
(c) 375
(d) 376
(e) 501
(43) In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together? (a)
(b)
(c)
(d)
(e)
6! / 2!
3! * 3!
4! / 2!
(4!*3!)/2!
72
(44) How many scalene triangles exist whose sides a, b and c are natural numbers less than 8? (a) 13 (b) 14 (c) 15 (d) 16