If after `x` years’ father`s age becomes twice of combined age of A and B, then
Sum of ages of A & B after `x` years = 3 + 2 + 2x = 5 + 2x
And, Father`s age after `x` years=40+x
So, 40 + x = 2(5+2x).
=> x = 10.
According to the question,
No. of delegates spoke only English = 80.
No. of delegates spoke only French = 20.
No. of delegates spoke both = 20.
Therefore, no. of delegates spoke at least one of the language = (80 + 20 + 20) = 120.
Let the son`s age be x, then father`s age 3x.
After 15 years:
Father`s age: 3x+15
Son`s age:x+15
Now the equation is:2(x+15) =3x+15
Solving we get x=15
Hence, father`s present is 45.
Let the three digits of the number be x, y and z.
Then, x + y + z = a and xyz = b
A/C, a + 15 = b ----(i)
and, a - 9 = b + 2yz ----(ii)
From eq(i) and eq(ii), we get
=> 2yz = 24.
Thus, yz = 12.
Possible answers are 24, 48,120.
Hence, by hit and trial, answer is 24.
2nd layer- 16 cubes have no face painted.
3rd layer- 16 cubes have no face painted.
4th layer- 16 cubes have no face painted.
5th layer - 16 cubes have no face painted.
Hence, total - 16+16+16+16 =64 cubes have no face painted.
Let the length of race is X meter.
when A is on X meter, then B is on X-12 and C is on X-8.
Now,
If B is on X-12 meter then C is on X-18 meter
so if B is on 1 meter then C is on (X-18)/(X-12) meter
So if B is on X meter then C is on ((X-18)/(X-12)) *X meter
And it is given that if B is on X meter then C is on X-8 meter
So, [(X-18)/(X-12)] $\times$ X = X-8.
Solve it and get the value of X as 48 meter.
Given, x(a) = $a^2$ + 2a - 1
=> x (8) = $8^2 $+ 2(8) - 1
=> 64 + 16 - 1 = 79
=> x (5) = $5^2$ + 2(5) - 1.
=> 25 + 10 - 1 = 34
Therefore, x (8) - x (5) = 79 - 34 = 45.
Let the no`s of tickets = x and total no. of pupil = y.
=> xy-y(x-1) = 1200.
Then no of pupil = 1200.
Then, we get the price of each ticket as Rs. 5.
Suppose they had set their watches X hours ago.
Husband`s watch gains 2X/60 hour every hour while wife`s watch loses X/60 every hour.
Now as one watch gains and other loses the difference will be added
Hence (2X/60) + (X/69) = 1 (hour)
Thus, X = 20 hours.
Let the number be x and y.
Given, xy=9375 and, x/y=15,
So x = 15y
Hence, 15 $\times$ $y^2 $ = 9375
=>$ y^2$ = 9375/15 = 625.
Hence, y = 25 and y = 9375/25 = 375
So, the sum of the no. is 25 + 375=400.
HCL Logical Reasoning Test
Syllogism:
Statements: All scientists are fools.
All fools are illiterate.
Conclusion:
(I) All scientists are illiterate
(II) All illiterate are scientists.
(III) All illiterates are fools.
(IV) Some illiterates would be scientist.
Pointing to a woman, Abhijit said, “Her granddaughter is the only daughter of my brother.” How is the woman related to Abhijit?
If ‘white’ is called ‘blue’, ‘blue’ is called ‘red’, ‘red’ is called ‘yellow’, ‘yellow’ is called ‘green’, ‘green’ is called ‘black’, ‘black’ is called ‘violet’ and ‘violet’ is called ‘orange’, then what would be the color of human blood?
We know the color of the human blood is `red` and given that `red` is called `yellow`.
So, the color of human blood is `yellow`.
From his house, Lokesh went 15 kms to the North. Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?
Statement:
The new scheme gives people the opportunity to voluntarily declare their disclosed property and legitimize it by paying the lowest ever rate of tax.
Assumptions:
(I) The new scheme is much better than the earlier scheme.
(II) People may desire to pay less tax and own things legimately.
13, 35, 57, 79, 911, ?
The terms are formed by joining together consecutive odd numbers in order. i.e. 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11...
.Statement: Although advancement medical science has raised life expectancy, the rate of child mortality remains high in India.
Courses of Action:
(I) Efforts should be made to lower life expectancy.
(II) Medical scientists should be asked to give up their jobs.
(III) Efforts should be made to decrease the rate of child mortality.
I is an absurd suggestion. II is an extreme action not required in the present circumstances. III is undeniably a proper course of action.
Find the odd man out: 362, 482, 551, 263, 344, 284
In all numbers except 344, the product of first and third digits is the middle digit.
Letters of each option are:
B +3 = F, F + 2 = I
M + 3 = Q, Q + 2 = T
R + 3 = V, V + 2 = Y
But, E + 2 = H.