**Ques:- There is a 50m long army platoon marching ahead. The last person in the platoon wants to give a letter to the first person leading the platoon. So while the platoon is marching he runs ahead, reaches the first person and hands over the letter to him and without stopping he runs and comes back to his original position. In the mean time the whole platoon has moved ahead by 50m. The question is how much distance did the last person cover in that time. Assuming that he ran the whole distance with uniform speed.**

**Ques:- The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?**

**Recent Answer**: :

The number is greater than the number obtained in reversing the digits and the ten’s digit is greater than the unit’s digit

Let ten’s and unit’s digit be 2x and x respectively

Then, (10×2x+x)−(10x+2x)=36

9x=36

x=4

Required difference=(2x+x)−(2x−x)=2x=8

**Ques:- A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs.175, how much must C pay as his share of rent?**

**Recent Answer**: :

45

**Ques:- Why you looking for the job now?**

**Ques:- A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40kgs. of the mixture?**

**Recent Answer**: :

Answer:

24

Step-by-step explanation:

A + B = 40.

And at Rs 7 a kg for 40 kg, you want a total of Rs.280.

So the second equation is 9A + 4B = 280

From the first equation: B = 40 – A

and sub into the second equation:

9A + 4(40-A) = 280

9A + 160 – 4A = 280

5A = 120

A = 24.

And you should check: B should equal 40-24 = 16. Check with the final equation: 9*24 + 4*16 = 216 + 64 = 280. So it works.

Your answer, of course, is A = 24

**Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)**

**Recent Answer**: :

(x**2 – 6* x + 5) = (x-1)*(x-5)

(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2

For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?

One way to answer this question is by using calculus.

Take the derivative, and set to zero.

Since this is a fraction of polynomials, and a fraction is

zero only if it’s numerator is zero, we need calculate only

the numerator of the derivative and set it to zero.

The numerator of the

Derivative of (x-1)*(x-5)/( (x+1)**2) is

( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )

= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)

= 0

Divide through by 2 (x+1)

(x-3)(x+1) – (x-1)(x-5) = 0

(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0

x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0

4 x – 8 = 0

x = 2

Plugging in x = 2 into the original

(x**2-6*x+5)/(x**2+2*x+1)

gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)

= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3

Least value is -1/3

**Ques:- Two varieties of wheat – A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?**

**Recent Answer**: :

answer = 16.5Rs

A=3*9=27Rs

B=7*15=105Rs

132 R for 10 kg

therefore,

1kg amount = 132/10=13.2 so,

5kg mixture price = 13.2*5=66Rs

mixture will sell 25%profit then the price =66*(25/10)=33/2=16.5Rs

**Ques:- In a row of trees, one tree is fifth from either end of the row. How many trees are there in the row?**

**Recent Answer**: :

10

**Ques:- In a factory, 'a' men work 'b' hours a day and produce 'c' articles each day. If 'd' men are released, how many hours a day will the remaining men have to work to produce 'c' articles each day? 1]ab/d 2]ab/b 3]a-d/b 4]ab/a-d**

**Ques:- Reason of leaving the current job?**

**Ques:- Regarding business profile**

**Ques:- How is David’s father’s only daughter-in-law’s son’s wife related to David ?**

**Recent Answer**: :

Daughter-in-law

**Ques:- Find out the wrong number in the series:**

4, 5, 15, 49, 201, 1011, 6073

4, 5, 15, 49, 201, 1011, 6073

**Recent Answer**: :

Correct option is A)

2nd term =(1stterm×1+2)=(4×1+2)=6

3rd term =(2ndterm×2+3)=(6×2+3)=15

4th term =(3rdterm×3+4)=(15×3+4)=49

5th term =(4thterm×4+5)=(49×4+5)=201 and so on

∴5 is wrong.

**Ques:- Persons A and B. Person A picks a random no. from 1 to 1000.Then person B picks a random no. from 1 to 1000. What is the probability of B getting no. greater then what A has picked.**

**Recent Answer**: :

1(100-1)+ 2(100-2)+…..99(100-99)

N=100

solution: N(N-1)

100(99)= 9900

**Ques:- 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?**

**Recent Answer**: :

That will depend heavily on when in the journey the 200 men join.

**Ques:- If you could play one instrument you aren’t able to now, what would it be and why?**

**Ques:- Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?**

**Recent Answer**: :

In plan A 7500/- and other amounts in plan B

**Ques:- A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?**

**Ques:- Starting with your last job, tell me about any of your achievements that were recognized by your superiors?**

**Ques:- How do you motivate your team members?**

**Ques:- In interview we are asked “WHAT IS YOUR POSITIVE AND NEGATIVE POINTS?”**

**Ques:- What popular journal did C. V. Riley and B. D. Walsh begin in 1868?**

**Ques:- Who referred you to this company?**

**Ques:- . The oldest large scale industry of India is:(1) Iron and Steel(2) Jute(3) Cotton(4) Paper**

**Recent Answer**: :

Iron and steel

**Ques:- What u say as experience(Interview) “TELL ME ABOUT UR SELf”?As a Fresher(interview) What u Say?**

**Ques:- What will be the growth rate after you join?**

**Ques:- What Is Political Science?**

**Ques:- Willing to work on weekends**

**Ques:- speak something about ur memorable moment**

**Ques:- The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?**

**Recent Answer**: :

270

Recent Answer: Added by Admin On 2020-05-17 12:00:37:The last person covered 120.71 meters.

It is given that the platoon and the last person moved with

uniform speed. Also, they both moved for the identical

amount of time. Hence, the ratio of the distance they

covered – while person moving forward and backword – are

equal.

Let’s assume that when the last person reached the first

person, the platoon moved X meters forward.

Thus, while moving forward the last person moved (50+X)

meters whereas the platoon moved X meters.

Similarly, while moving back the last person moved [50-(50-

X)] X meters whereas the platoon moved (50-X) meters.

Now, as the ratios are equal,

(50+X)/X = X/(50-X)

(50+X)*(50-X) = X*X

Solving, X=35.355 meters

Thus, total distance covered by the last person

= (50+X) + X

= 2*X + 50

= 2*(35.355) + 50

= 120.71 meters

Note that at first glance, one might think that the total

distance covered by the last person is 100 meters, as he

ran the total lenght of the platoon (50 meters) twice.

TRUE, but that’s the relative distance covered by the last

person i.e. assuming that the platoon is stationary.