AUGUST THREAD - upto 10
1) a1=5, a2=10, a3=10^5 in general an= [a (n-1)] ^ [a (n-2)] No. of digits in a5?
2)1 kg=2.2 pounds x
Col A---no of pounds for x kgs
Col B---no of kgs for y pounds
3) (2.007/0.007) + (2.007/2) =?
4) X^2=(y^2) +4 y<0
Col A--- x
Col B--- y
5) Col A--- no b/n 1 to 50 inclusive both that divisable by 3
Col B--- no b/n 51 to 100 inclusive both that divisable by 3
Ans is B
6) Image that a circle inscribed in square. Side of the square is 60 m. find fraction of are that not cover by the circle.
Ans= (4-pi)/4
7) given that n is number. When n divide by 7 it gives remainder of 3. Then find remainder when n^2-5 is divide by the 7
A=2
B=4
C=6
D=8
E=10
ANS=4
8) colA colB
1/.001+1/.9999 1/.002+ 1/.998
Ans) 1000+10000/9999 > 500+10000/9980
Ans is A
9) R is a multiple of 3 and S is a multiple of 7 what is the least number that divides the product of R and S?
10) Sixty-eight people are sitting in 20 cars and each car contains at most 4 people. What is the maximum possible number of cars that could contain exactly 1 of the 68 people?
(A) 2 (B) 3 (C) 4 (D) 8 (E) 12
11) In an election between two candidates who got 45% of the valid votes was defeated
By 150 votes. Find the total number of votes, if 80% of the votes polled were valid.
1725
1775
1825
1850
1875
12) A circle is inscribed in a square.
Col A ---diameter of circle
Col B ---diagonal of square
13) U is sum of first 100 +ve even numbers
V is sum of first 100 +ve odd numbers
Col A-> U-V
Col B-> 100.
14) For road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.
Col A--area of the original plot
Col B--area of the changed plot
Ans is A
15) Z= [(123) ^4]-[(123) ^3] + [(123) ^2]-(123) if z is divided by 122 what is the remainder?
0....1....2....3....4
Ans: 0
16) The vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1) what is the point where the diagonals of the square S meet?
Ans: (1/2, -1/2)
17) Series1à1, 1, 11
Series 2à2,2,22
Col A--std. deviation of series 1
Col B--std. deviation of series 2
18) For road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.
Col A--area of the original plot
Col B--area of the changed plot
19) K is a +ve integer. The function f(x) is defined as f(x) = remainder when x is divided by k ==> f(x) = x%k then what is the value of k, if f (k+25) =3
Ans: 21
20) Xy>0
Col A: -- y
Col B: -- 0
Ans: D
21) If x is a positive no, when it is divisible by 9 it leaves remainder 2.when x it is divided with 15 it leaves remainder 8.which of the following is the value of x
29,23,38,15
Ans) 38
22) Jar contains 10 green, 9 black, 6 red, a ball is chosen at random replaced then what is the least possible no of draw u make so that u will be confident that u have at least 2 balls of same color
a) 7 b) 6 c) 5 d) 3 e) 1
Ans) C
23) Col A--- ----w (2x +2y + 2z + 1)
Col B ----w (x + y + z)
Ans) D
24) Area is given as 150 square feet. (1 yard = 3 feet)
Col A ------ No. of yards
Col B ------30
Ans) B
25) The price of book x is 5 times the price of book y.
On a particular day, y books were sold as many as 4 times
X books thus making business of $36.
What is the cost of x book?
26) Are of the circle is 36pie then what is the diameter of the circle
Ans) 12
27) If r = (3p + q)/2 and s = p - q, for which of the following values of p would r^2 = s^2?
A. q/5
B. 10 - 3q/2
C. q - 1
D. 3q
E. 9q/2 - 9
Ans) A
28)3^n + 4 is divisible by 5 find the value of n
a) 23
b) 24
c) 25
d) 26
e) 27
Ans) B (24)
29) In triangle x y z are interior angles x=2y z=x/2 one side is given BC = 6 find area of triangle?
Ans) 18
30) Sequence was given to be S=5,-5, 5,-5, 5,-5......k..(K can be 5 or -5) what is the number of terms in the series for which the arithmetic mean is 1/9..
a. 5
b. 15
c. 29
d. 45
e. 38
Ans) D (45)
31) Five years ago, Beth’s age was three times that of Amy. Ten years ago, Beth’s age was one half that of Chelsea. If C represents Chelsea’s current age, which of the Following represents Amy’s current age?
A. c/6 + 5
B. 2c
C. (c-10)/3
D. 3c-5
E. 5c/3 - 10
Ans) A
32)120<150>
Ans) 17
33) There is a 4 by 4 by 4 cubes; it is painted on all its 6 faces. Then it is cut in 1 by 1 by 1 cube. Now u randomly picks a cube and then in that cube u randomly picks a face. Whats the prob that face is colored.
Ans)1/4
34) A portion of $7200 is invested at a 4% annual return, while the remainder is invested at a 5% annual return. If the annual income from both portions is the same, what is the total income from the two investments?
$160
$320
$400
$720
$1,600
35) A motorcycle stunts man belonging to fair rides over the vertical walls of a circular well at an average speed of 54 kph for 5 minutes. If the radius of the well is 5 meters then the distance traveled is:
1. 2.5 kms
2. 3.5 kms
3. 4.5 kms
4. 5.5 kms
5. None of the above
36) A 5-ltrs jug contains 4-ltrs of salt water solution that is 15% salt... if 1.5 ltrs of solution spills out of the jug, n the jug is then filled to capacity with water, approximately what % of resulting solution in the jug is salt?
a)71/2 % b)93/8 % c)101/2 % d) 12% e)15%
37) Mean weight of apples in a basket is 4 ounces, and their standard deviation is 0.8.
Col A: The weight of the apple with 1.5 standard deviation
Col B: 3.2 ounces
38) A man sold product X for 25% profit and Y for 25% loss. If he sold them for 210000 each then the sum of their original products is how much greater than 420000?
1.0
2.14000
3.36000
4.42000
5.28000
Ans 28000
39)-10<20 5<10
Col A--à y
Col B--à-15
2) Col A-- :( 5-1/4) ^2 + (5+1/4) ^2
Col B-- :2
40) Two computer square chips r there x, y.side of y is 0.1more then that of x and the area of y is 0.75 more then that of x.find the side of y.
(1)3.7
(2)3.8
(3)3.9
(4)3.6
41) For road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.
Col A-->area of the original plot
Col B-->area of the changed plot
42) |3x-2l = 4
Cola--- lxl
ColB---4
43). x=10y+2
Col A--- tens place of 2
Col B--- units place of y
44) UTAH & MAINE. There are these to words. If u choose 1 alphabet from, what is the probability that they are not same..?
ANS: 8/9
45) A right angle triangle lies inside a semi-circle such that, the hypt=diameter of the semi-c..Remaining two sides are x & y..
Col A: x*x+y*y
Col B: 4r*r..<;/span>
ANS: C
46) If x, y, z are divisible by 7 and remainder is 3 then wat is the remainder when x+y+z is divided by 7.
Ans: 2
47) Company r has 60 more people than s and t have 3/4 of the r
Col a people in s
Col b people in t (ANS: D)
48) If x is a positive integer and 2 are a factor of 3 xs+1 then,
Col A--- (-1x)
Col B--- 1
49) Volume of cubes A and B are x and 2x respectively is a positive integer.
Col A ----Ratio of length of cube A to the length of cube B
Col B ---- ½
Ans. Is A
50) S=Set of integers which are multiple of 6
T= Set of integers which are multiple of 8
No. of integers from 1 to 100 which belong to both the sets?
Ans. Its 4. (24, 48, 72 and 96)
51)1<2 style=""> x^3
Col b 7.9
B
52) m n are positive integers.
Col a: 1/ (2m) ^n^m
colb: 1/2^mn
D
53) Diameter of a circular region of area 4pie is used as unit of length how many units of lengths is diameter of a circular region of area 100pie
5
10
12 1/2
20
25
54) ABC is a triangle AC is the base angle B=60, c=45 and a perpendicular is drawn from A to bc and AB=1
col A --- BC
Col B ---sqrt3
55) Which of the following cannot be t factor of 2^n. 3^k n and are pos integers
6
8
27
42
54
ans: 42
56) g(x) =3^x-1 - then find g(x+1)-g(x)/2
57) Word problems-----like there is some company...it produced 30% new products last year. In that 60% were sold. What is the % of new products didn’t sell?
ans-->> suppose total there are 100 products
30 are new and 70 are old
30% of new products are sold means 18 are sold out of 30
hence 12 new product remains which means 12% of original is the remaining new product which is unsold...
58) A triangle was given ABC WITH ANGLES 50 AND 40.A DIAGONAL LINE IS DRAWN AT THE CENTRE
COL A---length of AD {AD IS LOCATED AC} B/N
COL B---LENGHT OF AB
B
61) xy=8 and x+y=12 then
Column A ---x(1+y)+y
Column B --- 20
62) There are 24 oranges in 1 bag. And 8 bags in 1 box then how many dozens in 24 boxes.
Ans) 1 bag contains 2 dozens 1 box contains 2*8=16 dozens 24 boxes contains 24*16=384 dozens
63) a sphere with a radius of r=1 meter....it is revolving around its vertical axis and completes one rotation in 1 second.....find the speed at which it is rotating and it is in the range of
a)0 to pie
b)1 to pie
c)0 to 2pie
d)1 to 2pie
64) there are "r" sections and each section is divide into "t" no. of fields and beth n Jordan water these fields everyday ...if on Monday Beth does his share of watering and also 1/3 of Jordan’s work.......then
column a column b
baths normal share rt/4
of work
65) ann. deposited $10,000 for x yrs at an interest of 6%.... while David deposited $ 12,000 for y yrs at interest of 4.5%......
col A col B
amnt ann. earned amnt David earned
Ans) as column a : 10000(1.06)^x
and column b: 12000(1.045)^y
x and y can take any value greater than 0 D
66) 3}A CIRCLE WAS INSCRIBED IN A SQUARE.AREA OF SQUARE IS 36PIE.WHAT IS THE AREA OF CIRCLE.
67) I DONT REMEMBER NAMES BUT LET THEM BE A, B, C.AGE OF A IS TWICE THAT OF B AND HALF OF C
cola: col b:
average arithmetic mean of their ages 3
68) n>1
cola col
115n 215(n-1)
ans) is D
69) z>y>x>1
cola col
z(x+y+1) y(x+z+1)
A
70) A()B=-A^2B then find 2()-1
problem on symbol
ANS) -1/4
71) 1)5<9><-12 col A /x/ col B /y/ 72) colA col B 2^7 *5^4 10^4*2^3 73)A put his amount on x percentage of interest while B put some amount on x/2 percentage of interest .A getting d dollars as interest and B getting 2d dollars on interest..(This was long narrated Q. I have written in brief) colA ---amount of A colB ---amount of B
74)A put his amount on x percentage of interest while B put some amount on x/2 percentage of interest .A getting d dollars as interest and B getting 2d dollars on interest..(This was long narrated Q. I have written in brief)
colA amount of A
colB amount of B
ans) the prin. of A nd B be A & B
d=AX/100
nd
2d=BX/200
on solving, we get A=100d/x
and B = 400d/x
therefore B is the correct answer
74) 1,1,11 2,2,22
colA s.d of first set
colB s.d. of other set
ans B
75) In a plane, given l and n lines are parallel. Given n equation as 2y+3x=4
then wat is the slope of m?
76) A circle is inscribed in a square.
col A colB
diameter of circle diagonal of square
77) a line and circle lie in a single plane......the line passes through the circle.......
column a-------it meets the circle at no. of points
column b ------2
78) word problems-----like there is some company...it produced 30% new products last year. In that 60% were sold. What is the % of new products didn’t sell?
79)6root pie is the side of square
3root pie is radius of circle
pie*r^2 ll give u circle’s area.........
80)z= [(123)^4]-[(123)^3]+[(123)^2]-(123)
if z is divided by 122 what is the remainder?
0....1....2....3....4
Ans: 0
81)the vertices of square S are (-1,-2), (-1,1), (2,-2) and (2,1)
what is the point where the diagonals of the square S meet?
Ans: (1/2, -1/2)
84) for road widening the length of a rectangular plot is decreased by 15% and its breadth is
increased by 15%.
Col A-->area of the original plot
col B-->area of the changed plot
85) k is a +ve integer. The function f(x) is defined as
f(x) = remainder when x is divided by k
==> f(x) = x%k then what is the value of k, if f (k+25) =3
Ans: 21 (please verify for any other)
86) two cylindrical containers are there. One with internal radius 3 inches other with internal radius 6 inches. The 3 inch cylinder is of 10 inch height of which unto 9 inches was filled with a liquid. what would be the depth of the liquid in the 2nd container if 1st container is emptied into the second container (previously empty)
Ans: 2.25 inches
87) xy>0
col a :--> y
col b :--> 0
Ans: D
88) A ladder of 5 ft length is in a slant position against a wall. The base of the ladder is
pulled y ft away from the wall and so the top of the ladder moved x ft towards the ground.
Col a :---> x
col b :---> y
89) colA ---2^7 *5^4
Col B---- 10^4*2^3
90) In a plane, given l and n lines are parallel. Given n equation as 2y+3x=4
then wat is the slope of m?
91) A circle is inscribed in a square.
col A colB
diameter of circle diagonal of square
92)a@b is defined as -(a to the power -2b) so what is the value of 3@2
a)12 b)-81 c)1/81 d)-1/81 e)-12
ans is -1/81
93)the vertices of square S are (-1,-2), (-1,1), (2,-2) and (2,1)
what is the point where the diagonals of the square S meet?
Finding mp of 1 and 3
-1+2/2 -2-2/2
=1/2 =-2
(1/2,-2)
94) there was a prob on X articles and Y articles posted sum time back...
the prob was something like....the price of X was 5 times the price of Y and sales of Y=4 times sales of X.amt received from sales of Y equal to 36$$...
95) a 5-ltrs jug contains 4-ltrs of salt water solution that is 15% salt. If 1.5 liters of solution spills out of the jug, n the jug is then filled to capacity with water, approximately what % of resulting solution in the jug is salt?
a)71/2 % b)93/8 % c)101/2 % d) 12% e)15%
ans 12% posted by sme1
96)integer (x - 1) is a prime number between 40 and 50.
Column A: The sum of all different prime factors of x
Column B: 14
Answer will be D
97) Parallegram opposite angles is given 7x, 120
another angle 3y
cola---x
Col b---y
answer is x=17.14
y=20
98) the standard form of equation of line is y=m*x+c
so slope =-a/b
99) integer (x - 1) is a prime number between 40 and 50.
Column A: The sum of all different prime factors of x
Column B:14
is the answer B
100) the vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1)
what is the point where the diagonals of the square S meet?
Finding mp of 1 and 3
-1+2/2 -2-2/2
=1/2 =-2
(1/2,-2)
101) Quadrilateral ABCD
angle DAB=60degrees
angle ABC=95 degrees
and AD is extended to E, E joined to C such that B,C , E are in a straight line
similarly AB is extended to F , and F also joined to C such that D,C,F are in a straight line
then angle EDC=alpha degrees
angle BFC = beta degrees
column A
alpha
column B
beta+55 degrees
102) a rectangle was of side 8 & 4 and quadrilateral is given and the side of quad is the side of rectangle i.e. 8 n the angle made by the quad and tri is 45deg
cola col b
area of the quad 15
103) A(B)= -(A-2B),then what is the value of 3(2)?
Ans. 3(2) =-(3-2x2) =-(1/34) =-1/81
