1) col a:(2^8)*(15^5)+(2^8)*(15^5)
col b:(5^10)*(8^2)
Answer B
2) one given dat x*=(x-1)/x condition is x<0 x="x*..." 99 =" 3^99" 33 =" 9^33" cube="X" cube="Xroot2" surface="Xroot2*X=" 2="main"> 0 & X>Y
Col A Col B
XZ. YZ.
Sol: Case I: X=3, Y=2, Z=1 then col A is Greater.
Case II: X=5, Y= -2, Z= -3 then Col B is Greater
Therefore the answer is D
3) cola:0.0001/0.9 + 2.456/1.294
colb:5.563/2.78 + 13.569/5.265
Answer B
4) (x+2)^(x+2)<-1
col a x col b -1
5). If a man works for an entire year, he earns an amount...But if he works for 6 months and completes his work, what was his ratio of efforts that he put in the 6 months to his expected effort?
Ans. 1/2
6) COL A: 33^99 = 3^99 * 11^99 COL B: 99^33 = 9^33 * 11^33
ANS:A
7) in 1979 the average home heating cost in central region was same as avg for entire country, in 1980 central avg cost incrsd by $260 per home, an incrs of 25% over 1979. if in 1080 avg cost of of entire cntry incrsd by 22%, wat was avg increase in cost per home for entire country?
57.2 65 228.8 317 325
8) there was a cube figure which was cut thru the centre diagonal .. had to find the T.S.A(TOTAL SURFACE AREA) of the either of d figure (which is the same)
Sol) Let side of cube=X Diagonal of side of a cube=Xroot2
Area of the diagonal surface=Xroot2*X=X^2root2
T.S.A of the cube(which is cut diagonally) =x^2+x^2+x^2/2+x^2/2+ X^2root2
9) in rectangular cubic the face diagonal was given along with the main diagonal and also the length ¡K. Had to find the volume ¡K..
ans: just apply phythagoras and also that l^2+b^2+k^2=main diognal^2.
10). XYZ > 0 & X>Y
Col A Col B
XZ. YZ.
Sol: Case I: X=3, Y=2, Z=1 then col A is Greater.
Case II: X=5, Y= -2, Z= -3 then Col B is Greater
Therefore the answer is D
11). The mean of the three numbers 2X, 7X, X^2 ( X square) is 12 what is the range of the given data ( X<0). 3 =" 12" 2="36" 36="0" x=" -12" range =" Highest" commodity =" 144-" 3y="4" 4 =" 1" 3 =" 1" circle =" Pi" circle =" Pi" probability ="number" chance =" (X^2)" television =" 84." pager =" 84-X" pager =" 72-" x =" X-" 2y="5">
Sol:
90 rupees interest„³For 600 rupees
X„³For 100 rupees
X= 9000/600 = 15 rupees for 100 , which means 15%
12)2X+3Y=4 what is the X- intercept of the line
Sol: 2X/4 + 3Y/4 = 1
X/2 + Y/4/3 = 1
Therefore the X- intercept is 2
13)The Three vertices of a parallelogram is given as (0,0) (1,2) (3,3) and asked to find out the fourth vertices.
Sol: The answer is (2,1) , Figure is given
14) A circle is drawn inside an other circle, the center of both circles are the same, the radius of the first circle is X and the radius of the second circle is X+Y , we are asked to find out the probability that if a point is taken from the circle the point should lie in the smaller circle of radius X.
Sol: Area of smaller circle = Pi ( X^2)
Area of larger circle = Pi ( X+Y)^2
The probability =number of favorable chance / Total number of chance
= (X^2) / (X+Y) ^ 2
15) There are 84 people who watch television and 72 members use pagers and X members watch only Television .
Col A Col B
Number of people use only pagers X ¡V 12
Sol: Draw a Venn diagram
Total number of ppl who watch television = 84.
No of ppl who watch TV and use pager = 84-X
Number of ppl who use only pager = 72- ( 84 ¡V X )
= 72- 84 + X
= X- 12
Therefore C is the answer.
16). Find the Y ¡V intercept of the equation 3X-2Y=5
Sol: X/ (5/3) + Y/(-5/2) = 1, Therefore the Y intercept is : -5/2
17). The amount of Rs.600/- is given at a rate of X% per annum , If he receives additional Rs.90/- after an year then what is the rate of interest ( i.e- X )
Sol:
90 rupees interest„³For 600 rupees
X„³For 100 rupees
X= 9000/600 = 15 rupees for 100 , which means 15%
18). 90Col A Col B
The perimeter of the Triangle 24
Sol: If X = 90 then triangle is a RAT (Right angle triangle ), which satisfies Pythagorean theorem from which third side is 10 , then perimeter of triangle is 24 ( 6 + 8 + 10 ), but it is clearly given that 90
19) A parking garage rents parking spaces for $10 per week or $30 per month. How much does a person save in a year by renting by the month rather than by the week?
(A) $140
(B) $160
(C) $220
(D) $240
(E) $260
20) trains 100 m and 150m in length long are going in same direction on parallel tracks. faster train speed is 60 km ph and slower train speed 42 km/hour. at what time faster train over take slower train.
ans: 250/5 = 50secs
21)1979 approximately of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?
(A) 18.6
(B) 9.3
(C) 6.2
(D) 3.1
(E) 1.6
22)certain basketball team that has played of its games has a record of 17 wins and 3 losses. What is the greatest number of the remaining games that the team can lose and still win at least of all of its games?
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
answer: 4 ( 2/3 is 20 so total they will play 30 games. 3/4 should be winning ratio so they can max loose 7 games. 3 they have already lost so now they can max loose 4 games...
23)If n is an integer and then which of the following could be the value of k?
(A) 22
(B) 26
(C) 35
(D) 54
(E) 60
answer: 26
24) There were 36.000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies were sold. If a total of 441.000 copies of the novel were sold in all, how many paperback copies were sold?
(A) 45.000
(B) 360.000
(C) 364.500
(D) 392.000
(E) 396.900
answer: 364,500
25) symbolic representation problem very time consumed one given dat x*=(x-1)/x condition is x<0>
a)2x*=2(x*)
b)-x*=x*
c)(x-1)*/x=x*...
d)(x*)*=x
26) cola:0.0001/0.9 + 2.456/1.294
col b:5.563/2.78 + 13.569/5.265
Answer B
27) THE DECORATING COMMITTEE FOR A DANCE PLANS TO FIRNGE THE 3 INCH WIDE END OF A STREAMER BY MAKIN SMALL CUTS EVERY 1/16TH INCH. HOW MANY CUTS MUST BE MADE TO FRINGE THE END?
A)45 B)46 C )47 D) 48 E) 49
consider e.g. :- u have 4 inch fringe, and want to cut in each 1 inch. so we will get not 4/1, but 4/1-1, coz the last part will be detached automatically. so the answer wil not b 4, but 3. so n-1...
so the actual answer is (16*3)-1 = 48-1 = 47
28). x+5 when divided by 3 leaves a remainder 2..
col A: remainder whn x is divided by 2
col B: 1
Ans. D
29) a car goes around a circle of radius of 14km in the first round it travels with a speed of 11km/hr in sud sequent rounds its speed increases by 11km/hr in each round how much time does the car take to cover a dist of 440km
a)14*8/5 b)15*14/18 c)18*4/15 d)4*15/18 e)7*4/15
30)THE DECORATING COMMITTEE FOR A DANCE PLANS TO FIRNGE THE 3 INCH WIDE END OF A STREAMER BY MAKIN SMALL CUTS EVERY 1/16TH INCH. HOW MANY CUTS MUST BE MADE TO FRINGE THE END?
A)45 B)46 C )47 D) 48 E) 49
consider e.g. :- u have 4 inch fringe, and want to cut in each 1 inch. so we will get not 4/1, but 4/1-1, coz the last part will be detached automatically. so the answer will not be 4, but 3. so n-1...
so the actual answer is (16*3)-1 = 48-1 = 47
31) Roger sold a watch at a profit of 10%. If he had bought it at 10% less and sold it for $13 less he would have made a profit of 15%. What is the cost price of the watch?
$220
$300
$400
$480
$540
Ans. let cost price b x
so profit 15% that means selling price is 1.1x
Now purchasing at 10% less that means 0.9x
sold for 13$ less i.e. (1.1x-13) & got profit of 15% means (15/100*90/100*x)=0.135x
selling price-purchase=profit
so (1.1x-13)-0.9x=0.135x
0.2x-13=0.135x
0.065x=13
x=200 $
so by increasing it 10% means $20 gives $200+$20 = $220......
32). the number of 2 digit even numbers that can be formed from the digits 1,2,3,4 and 5 if repetitions are not allowed is :
A) 8!
B) 5!
C) 2^6
D) 16
E) 16!
33). the number of ways in which 8 different flowers can be seated to form a garland so that 4 particular flowers are never separated is :
A) 4!4!
B) 288
C) 8!/4!
D) 5!4!
E) 8!4!
ans d)
34)an examination paper contains 8 questions of which 4 have 3 possible answers,3 have 2 possible answers each and the remaining one question has 5 possible answers. The total number of possible answers to all the questions is :
A) 3240
B) 94
C) 78
D) 2880
E) 36
35). the number of 2 digit even numbers formed from the digits 1,2,3,4,5 and 6 if repetitions of digits is not allowed
A) 6
B) 9
C) 5
D) 15
E) 17
ANS -15)
36). a box contains 2 white balls,3 black balls and 4 red balls. The number of ways in which 3 balls can be drawn from the box so that atleast one of the balls is black is
A) 74
B) 64
C) 94
D) 20
E) 24
ANS ¡V 64)
37). the number of 5 digit telephone numbers having atleast one of their digits repeated is
A) 90000
B) 100000
C) 30240
D) 69760
E) 69000
ANS C)
38). the number of 4 digit even numbers that can be formed using 0,1,2,3,4,5,6 without repetition is
A) 120
B) 300
C) 420
D) 20
E) 42
ANS-B)
39) if xyz=0, x>y than
col a: xz
col b: yz
ans.: d
40)comparison of SD of following
seq1 : 50,50,50,50,50
seq2 : 5,10,0,5,15
Solution:
no. elements in both series is same, i.e. 5
Range of first= max - min value = 0
Range of second = max-min = 10
41) there is a class of 90. avg of people who passed is 84. avg of people who failed is 60. Total class avg is 80. how many people passed ?
ans: 75
Prepared by,
Riddhi Shah,
U. V. Patel College of Engineering.