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# Placement Questions & Answers :: iGate

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ShortCut
Not Attempted

51. The time taken to travel from city X to city Y is 12 hrs. If a person starts at 6 A.M from city X and another person leaves the city Y at 8 A.M. When they will meet. (Speed of Both person is same.)

Explanation:

Here is no explanation for this answer

ShortCut By :: Aditya

Let's assume Person "A" travel from City X to City Y at 6:00 AM.

and Person "B" travel from City Y to City X at 08:00 AM.

If the distance between two cities (City X and City Y) = 12 KM

Person A travel distance of 2 hrs = 2 KM.

Distance remaining = 10 Km to be traveled by both person

The time required to travel 10 Km by both person = 5 hrs.

So, They will meet after 5 hrs. when Y start. i.e 1:00 PM

Tags: iGate

Not Attempted

52. Currently, the age of a father is three times that of his son. 2.5 years from now, age of the father becomes 2.5 times that of the son. The age of son currently is?

Explanation:

Let the current age of son = x.
Then, Father's age = 3x.
Now, According to the question,
=> (3x+2.5) = 2.5 *(x + 2.5)
=> x = 7.5 years.

Tags: iGate

Not Attempted

53. Simplify the below

5y-(4x+3y)-6x

Explanation:

5y-(4x+3y)-6x
= 5y-4x-3y-6x
= 2y-10x

Tags: iGate

Not Attempted

54. A Student brought 4 1/3m of yellow ribbon, 61/6 m of red ribbons and 3 2/9m of blue ribbon to decorate his room. How many meters of ribbons didd he buy in all ?

Explanation:

Length of yellow ribbon = 4 1/3 m = 13/3 m
Length of red ribbon = 6 1/6 m = 37/6 m
Length of blue ribbon = 3 2/9 m = 29/9 m
So, the total length of all 3 ribbons = (13/3 + 37/6 + 29/9) = (78+111+58)/18 = (247/18) = 13 13/18 m

Tags: iGate

Not Attempted

55. In a group of 15 workers, 5 are good at both Plumping and woodwork, 3 workers are good only at woodwork, and 3 are not good at either of them. How many of them are good at Plumping?

Explanation:

Here is no explanation for this answer

Tags: iGate

Not Attempted

56. vijay weighed 65 1/2kg, He gained 1 2/5kg during the first week, 1 1/1 kg during the second week, but lost 5/16kg during the third week. What is his weight after the third week?

Explanation:

After 3rd week his weight = (65 1/2 + 1 2/5 + 1 1/1 - 5/16)
By solving the above Answer will be 67 47/80 kg.

Tags: iGate

Not Attempted

57. ( 517 * 517 * 517 + 483 * 483 * 483)/(517 * 517 - 517 * 483 + 483 * 483).

Find the result of this expression.

Explanation:

(a^3+b^3) = (a+b)(a^2-ab+b^2)

so [(a+b)(a2-ab+b^2)] / (a^2-ab+b^2) = (a+b) => 517 + 483 = 1000.

Tags: iGate

Not Attempted

58. If 3 numbers are in the ratio of 3:2:5 such that sum of their squares is equal to 186 what is the middle number?

Explanation:

Let the numbers are 3x, 2x, 5x
Now,
(3x)^2 + (2x)^2 + (5x)^2 = 1862
=> x^2 = 49
=> x = 7
middle number is 2x = 2 * 7 = 14

Tags: iGate

Not Attempted

59. The cost price of a television is rs 2400 which is 20% below the market price if it is sold at a discount of 16% on the market price then find its market price, selling price and profit?

Explanation:

CP = 2400
Let MP = x
So, MP = x * 80/100 = 2400
MP = x = 3000
SP = 3000 * 16/100 = 480+3000 = 2520
Profit = 2520 - 2400 = 120
Profit% = 120*100/2400 = 5

Tags: iGate

Not Attempted

60. A rectangular park, 70m * 30m has two roads which are 5m wide one parallel to its length and the other to its breadth. How much will it costs to gravel the roads at rs 4 per sq.m?

Explanation:

Area of road parallel to the length= 70*5=350 sq.m.
Area of road parallel to the breadth=30*5=150 sq.m.
Total area of road=350+150=500 sq.m.
As these two road contains common area of 5*5=25 sq.m,
so subtract once this common area, so actual area of road = 500-25 = 475
Cost to gravel @ 4 Rs./sq.m.= 475*4 = 1900 Rs.