21. If f(x) is divided by (1+x)(1-x). What is the value of x?
Answer: +-1
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
Workspace
Nagarro
22. 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?
Answer: 56.25%
Explanation:Here is no explanation for this answer
Workspace
Nagarro
23. 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:
Answer: [10000/(10000-p^2)
Explanation:NetProfit=p%-p% -pXp/100=p2/100
=>original+original*Net_Profit=RS 1
=>Original=[10000/(10000-p^2)]
Workspace
Nagarro
24. A sphere and a cube have the same surface area. Find the ratio of their volumes?
Answer: √6 : √π
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)
Workspace
Nagarro
25. 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
Answer: 850.5
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
Workspace
Nagarro
26. How Many no Between 1000 to 9900 in which four digits of number are different?
Answer: 4536
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.
Workspace
Nagarro
27. What is the percentage of increase in area of a triangle if its sides are doubled?
Answer: 300%
Explanation:Here is no explanation for this answer
Workspace
Nagarro
28. 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?
Answer: 40 sec
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.
Workspace
Nagarro
29. The G.C.D. of 1.08, 0.36 and 0.9 is:
Answer: 0.18
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
Workspace
Nagarro HCL Technologies Accenture Wipro
30. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
Answer: 60Ï€ m2
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.
Workspace
Nagarro
Login/Register
