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1 A is a series of n terms with x ( x ? N ) as the first term and every term is y ( y ? N) less than the next term. If the product of all the terms of A is always divisible by the product of the first n natural numbers then, which of the following regarding x , y and n must be true always ?a.xn = ynb. yn =1c. x is a multiple of yd. xn & yn are not co-prime
2 Neeraj has agreed to make a lawn , which is a 20 m x 40 m rectangle. The mower mows 1 m wide strip. If Neeraj starts at one corner and mows around the lawn towards the center, about how many times would he go round before he has moved half the lawn ?a. 2.5b. 3.5c. 3.8d. 4
3 How many three digit numbers are there which satisfy at least one of the following two conditions?
I. When divided by 5, a remainder of 2 is left
II. When divided by 9 , a remainder of 5 is lefta. 269b. 249c. 260d. None
4 If f(X) = 1 – X , 0 ? X ? 2
X – 1 , 2 ? X ? 3
1 , 3 ? X ? 5
Then, find f(1/2) + f(40/16)a.2b.4c.3d.1
5 Co-ordinates A(-24 , 4) and B(21, -11) are joined by a line segment AB. How many points on this line have both their co-oridnates as integers ?a. 12b. 14c. 15d. None
6 rection for question 6 & 7
On the islands of Odds, off the coast of Pymn , one-third of the native people always lie, one third always tell the truth and one-third are normals (people who sometimes tell the truth and sometimes lie). The chances of encountering any one of the three natives on a road on the island are the same. If a traveler meets a native of the island on the road on each of the two successive days
6. What is the probability that at least one of them is a normal ?a. 1/3b. 4/9c. 5/9d. 2/3
7 What is the probability that exactly one of them is a normal ?a. 1/3b. 4/9c. 5/9d. 2/3
8 There are two bags, one of which contains three black and four white balls while the other containers four black and three white balls. A die is cast : If three or four turn up, a ball is taken from the first bag; and if any other face turns up, a ball is chosen from the second bag. Find the probability of choosing a black ball ?a. 10/23b. 9/21c. 11/21d. 10/21
9 If for a positive integer n, n! = (215 ) x (36) x (53) x (72) x (11) x (13) then the value of n isa.13b.14c.15d.16
10 A train blows a siren one hour after starting from the station. After that it travels at 3/5th of its speed it reaches the next station 2 hours behind schedule. If it had a problem 50 miles farther from the previous case , it would have reached 40 minutes sooner than it had in the first case. Find the distance between the two stationsa.250b.125c.100d.200
11 The congress government promised in 1991 that they would bring down prices in 100 days. They failed to do so and the prices went up by 10% each year for the next five years i.e. from 1992 to 1996 . The BJP got elected and successfully brought down the prices by 10% each year from 1997 onward. Find approximately by what percentage will prices in 1999 be more than those in 1992?a.18%b.5%c.8%d.7%
12 wer the question 12 & 13 based on the daily wages of the workers in a factory as given in the table.
12. If the Mean wage is Rs. 41.95, find the number of workers in the class interval 35-39.a. 20b. 24c. 32d. 37
13 If the daily wages of all the workers is increased by Rs. 4 , what will be the new mean wage?a. Rs. 45.95b. Rs. 42.75c. Rs. 42.95d. cannot be determined
14 A point (4, -2) is reflected on the x axis. The resulting image is then reflected on the line y = x . This coordinates of the final images area. (4, 2)b. (-4, 2)c. (-2 , -4 )d. (2, 4)
15 A relation f is defined for real numbers, such that
F(1) = 1 , f(2x) = 4 f(x) + 6 , f(x+2) = f(x) + 12x + 12
Then f(6) = ?a. 106b. 46c. 10d. 5
16 ection for questions 16 to 19.
DING ( word ) -- change the letters by the next higher ones in the alphabet
DONG ( word ) -- change the letters by the next lower ones in the alphabet
BING ( word ) -- removes all the vowels from the word.
BONG ( word ) -- moves all the vowels to the left end of the word.
SPONG ( word ) -- moves all the vowels to the right end of the word.
16. What is SPONG (DONG (BONG (Calcutta))))a. clcttb. bkbssc. anadmdssd. ndmds
17 What is the BING (BONG (DONG (DING(Bombay))))a. bmbyb. nlzxc. oabmbyd. nizza
18 If X = DING (BONG (DONG (DING (Bombay))))a.X = SPONG(Y)b.X = BONG(Y)c.Y = BING(X)d.None
19 If a function BANG (word) is introduced which removes all the consonants then what is BONG (BANG (DING (SPONG (DONG (DONG (alabarna))))
(DONG (DONG (alabarna))))a.aalbb.aaaac.eeeed.None
20 The length of the common chord of two circles of radii 15cm and 20cm , whose centers are 25 cm apart, isa. 24 cmb. 25 cmc. 12 cmd. 20 cm
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