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Placement Papers HCL

14650.A and B are 3 years 2 years old respectively. their father is 40 years old. After how many years, father age would be the twice of combined age of A and B?
12
10
8
9
Explanation:

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.

14651.At an international conference, 100 delegates spoke English, 40 spoke French, and 20 spoke both English and French. How many delegates could speak at least one of these two languages?
90
110
120
None of these
Explanation:

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.

14652.A father is three times as old as his son. After fifteen years the father will be twice as old as his son`s age at that time. Hence the father`s present age is
36
42
45
48
Explanation:

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.

14653.The sum of 3 single digit numbers is 15 less than their product. If we subtract 2 from first given number, then sum of these numbers will become 7 more than their product. The product of given 3 numbers will be?
6
8
12
24
Explanation:

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.

14654.A solid cube of side 12 cm has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm. How many cubes have no face painted?
40
32
60
64
Explanation:

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.

14655.Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?
36 meters
48 meters
60 meters
72 meters
Explanation:

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.

14656.If x(a) = $a^2$ + 2a - 1, then x (8)-x (5) =?
43
45
14
3
Explanation:

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.

14657.Every pupil in a school was given one ticket for a concert. The school was charged a total of Rs.6000 for these tickets, all of which were of equal value. What was the price of one ticket? If the price of each ticket had been one dollar less, the total cost would have been 1,200 less. If the price of each ticket had been Rs.2 more, the total bill would have increased by 40%.
5
8
10
none
Explanation:

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.

14658.My husband`s watch gains 2 minutes every watch and my watch loses 1 minute for each hour. One day, we were late to marriage because the difference between the time in the two watches was 1 hr. and we looked at the slow watch. When did we last set our watches to the same time?
10 hrs.
14 hrs.
20 hrs.
18 hrs.
Explanation:

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.

14659.The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
380
395
400
425
Explanation:

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.

14660.

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.

Only i and iv follow
Only ii follows
Only iii and iv follow
Only iv follows
14661.Analogy:

sheet: pad :: flower : ___?___

card
gift
petal
bouquet
14662.Blood Relation:

Pointing to a woman, Abhijit said, “Her granddaughter is the only daughter of my brother.” How is the woman related to Abhijit?

Grandmother
Mother-in-law
Sister
Mother
14663.Coding-Decoding:

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?

Red
Green
Yellow
Violet
Explanation:

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`.

14664.Direction Test:

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?

East
West
South
North
14665.Statement-Assumption:

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.

if only assumption I is implicit;
If only assumption II is implicit;
If either I or II is implicit;
if neither I nor II is implicit
14666.Series Completion:

13, 35, 57, 79, 911, ?

1145
1113
1117
1110
Explanation:

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...

.
14667.Course of Action:

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 & II follow
II & III follow
I & III follow
Only III follows
Explanation:

I is an absurd suggestion. II is an extreme action not required in the present circumstances. III is undeniably a proper course of action.

14668.Odd man out:

Find the odd man out: 362, 482, 551, 263, 344, 284

362
482
551
344
Explanation:

In all numbers except 344, the product of first and third digits is the middle digit.

14669.Odd man out:
FBI
QMT
VRY
HEK
Explanation:

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.

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