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Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
Let the present ages of X and Y be 5x years and 6x years respectively.
Then, 5x + 7/6x + 7 = 6/7
⇒ 7(5x + 7) = 6(6x + 7)
⇒ x = 7
∴ X's present age = 5x = 35 years
OABC is a rhombus whose vertices A, B and C lie on a circle with centre at O. If radius of circle is 10cm. The area of the rhombus
If A, B, and C lie on the circle, O is the center of the circle, and the radius is 10 cm, then OA, OB, OC, AB, and BC must all measure 10 cm because OA, OB, and OC are all radii, and AB and BC are congruent because of congruent sides of a rhombus.
Hence, the area of the rhombus is twice the area of an equilateral triangle with sides that measure 10 cm.
The area of an equilateral triangle of side s is :
Hence the area of the rhombus is
If (x + 2) (x  5) (x  6) (x  1) = 144, then the values of x are:
[ x − 6 x + 2 ] [ x − 5 x + 1 ] = 144
(x^{2} − 4 x − 12) (x^{2} − 4 x − 5) = 144
Let x^{2} − 4 x = y
y − 12 y − 5 = 144
The value of the expression tan 1^{o} . tan 2^{o} . tan 3^{o} … … tan 87^{o} . tan 88^{o} . tan 89^{o} , is
If ABCD is a cyclic quadrilateral in which ∠DAC=27^{o}, ∠DBA=50^{o} and ∠ADB=33^{o}, then ∠CAB is equal to :
The acceleration due to gravity of a body moving against gravity is
Three numbers are in the ratio 1:2:3 and their H.C.F. is 12. The numbers are :
Given ratio of numbers = 1 : 2 : 3
HCF = 12
So Numbers are
(12 x 1), (12 x 2) and (12 x 3)
= 12 , 24, 36
In questions below, equations have become wrong due to wrong orders of signs. Choose the correct order of signs from the alternative given.
5×6÷312=136
2 pipes A and B can fill a cistern in 20 minutes and 25 minutes respectively, Both are opened together but at the end of 5 minutes B is turned off. Total time taken to fill the cisten is
25(1  t/20 ) = 5
∴ t = 16 minutes
The simplified value of [{(1/3)÷(1/3)×(1/3)}/{(1/3)÷(1/3)of(1/3)}](1/9) is :
The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200% and 300% respectively. Then the increase in the volume of the cuboid is
Suppose length, breadth and height of cuboid are respectively x, 2x, 3x
∴ Volume of cuboid = x x 2x x 3x = 6x^{3}
Now, increased length, breadth, height of cuboid
= x x 200/100 , 2x x 300/100 , 3x x 300 /100 = 2x, 6x, 9x
∴ Volume of new cuboid = 2x x 6x 9x = 108x^{3}
Increase in volume of cuboid = (108  6)x^{3} = 102 x^{3} = 6x^{3} x 17
= 17 times the original volume.
Five business leaders, Bill Gates, Donald Trump, Jack Welch, Laxmi Mittal, and Warren Buffet, were being judged for the award of Business leader of the year. The selection committee ranked them on five different parameter viz. Empathy, Vision, Focus, Creativity, and Intuition. The five leaders were given points on these five parameters. The topper gets 5 and the least gets 1 point. There are no ties. The person with highest total gets the award. Bills Gates gets the award by scoring 24. Warren Buffet gets 5 points in Creativity and 3 points in Intuition. Jack Welch got consistent score in 4 of the parameters. Their final standings were in alphabetical order of their names.
Q. What is the overal score of Jack Welch?
Five business leaders, Bill Gates, Donald Trump, Jack Welch, Laxmi Mittal, and Warren Buffet, were being judged for the award of Business leader of the year. The selection committee ranked them on five different parameter viz. Empathy, Vision, Focus, Creativity, and Intuition. The five leaders were given points on these five parameters. The topper gets 5 and the least gets 1 point. There are no ties. The person with highest total gets the award. Bills Gates gets the award by scoring 24. Warren Buffet gets 5 points in Creativity and 3 points in Intuition. Jack Welch got consistent score in 4 of the parameters. Their final standings were in alphabetical order of their names.
Q. What is the rank of Donald Trump in Creativity?
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