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21 / 79
If f(x) is divided by (1+x)(1-x). What is the value of x?
A+-1
B+-2
C+-3
D0
Answer: Option A
Explanation:(1+x)(1-x)
=1-x^2
If f(x) is divisible comletely by (1-x^2) then the value of 1-x^2 must be zero
x^2=1
x=+-1
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22 / 79
A shopkeeper marked a suit at Rs.400. He sold it after allowing a discount, and still made at a profit of 25%. At what percentage above its cost price did he marked the suit, if he sold it for Rs.320?
A50%
B66.67%
C62.50%
D56.25%
Answer: Option D
Explanation:Here is no explanation for this answer
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23 / 79
The price of an article was increased by p%. Later the new price was decreased by p%. If the latest price was Rs.1, the original price was:
A(1-p^2)/100
BRs. 1
C[10000/(10000-p^2)
Dsqr [(1-p^2)/100]
Answer: Option C
Explanation:NetProfit=p%-p% -pXp/100=p2/100
=>original+original*Net_Profit=RS 1
=>Original=[10000/(10000-p^2)]
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24 / 79
A sphere and a cube have the same surface area. Find the ratio of their volumes?
A√6 : √π
B√π:√6
C4:3
DNone of these
Answer: Option A
Explanation:SA of a sphere: 4πr²
SA of a cube: 6x²
4πr² = 6x²
r²/x² = 6 / 4π
(r/x)² = 3 / 2π
r/x = (3 / 2π)^0.5
Volume of a sphere: 4/3 πr³
Volume of a cube: x³
Find the ratio meaning (4/3 πr³)/x³
= (4π/3)(r³/x³)
= (4π/3)(r/x)³
= (4π/3)(3 / 2π)^1.5
= (2²π/3)[3^1.5 / (2^1.5)(π^1.5)]
= √2√3 / √π
= √(6/π)
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25 / 79
4 horses are tethered at 4 corners of a square plot of side 63 meters so that they just cannot reach one another. the area left ungrazed is
A675.5
B780.6
C785.8
D850.5
Answer: Option D
Explanation:area of square = 63*63=3969 m^2
area inside the square that is grazed =4*area of quadrants of 4 circles
= 4*(1/4)*(22/7)*(63/2)*(63/2) =3118.5
area left ungrazed = 3969-3118.5=850.5
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26 / 79
How Many no Between 1000 to 9900 in which four digits of number are different?
A3454
B4536
C4456
D4434
Answer: Option B
Explanation:Number of 4 digit numbers having all different digits = 9*9*8*7 = 4536
smallest number : 1234, largest number : 9876, all are between 1000 and 9900.
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27 / 79
What is the percentage of increase in area of a triangle if its sides are doubled?
A300%
B200%
C100%
D250%
Answer: Option A
Explanation:Here is no explanation for this answer
ShortCut By :: AdityaIn similar triangles, a ratio of areas is equal to a ratio of the square of corresponding sides.
Area 2/Area 1 = (side 2/side 1)²
When sides are doubled, the area of the new triangle will always be 4 times the original, the change in area will be 3 times. Hence the % change will always be 300% irrespective of the type of triangle.
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28 / 79
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A40 sec
B42 sec
C45 sec
D48 sec
Answer: Option A
Explanation:Formula for converting from km/hr to m/s: X km/hr = X *( 5/18) m/s.
so Speed = 45 * 5/18 m/sec = 25/2 m/sec.
Total distance to be covered = (360 + 140) m = 500 m.
Required time = 500 * 2/25 sec = 40 sec.
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29 / 79
The G.C.D. of 1.08, 0.36 and 0.9 is:
A0.03
B0.9
C0.18
D0.108
Answer: Option C
Explanation:Given numbers are 1.08 , 0.36 and 0.90
H.C.F of 108, 36 and 90 is 18 ( G.C.D is nothing but H.C.F)
So H.C.F of given numbers = 0.18
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30 / 79
The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
A30π m2
B40π m2
C60π m2
D80π m2
Answer: Option C
Explanation:l = 10m
h = 8m
so r = √(l^2 - h^2) = √(10^2 - 8^2) = 6m
So Curved surface area = (π * r * l) = ( π * 6 * 10) m2 = 60π m2.
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