Latest Tech Mahindra Aptitude Question SOLUTION: Q. If y = x +2, Find the range of real values of y satisfying the inequalities 16x - 6 > 42 and 7x - 24 < 60" Option a) 5 < y < 14 b) 3 < y < 12 c) 1 < y < 10 d) y < 10

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(#M40030466) TECH MAHINDRA Logical Reasoning question inequalities Keep an EYE

Q. If y = x +2, Find the range of real values of y satisfying the inequalities 16x - 6 > 42 and 7x - 24 < 60"

Option
a) 5 < y < 14
b) 3 < y < 12
c) 1 < y < 10
d) y < 10

Asked In Tech Mahindra Prabhat Yadav (10 years ago)

Solved Tanisha Baberwal Read Solution (18)

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Read Solution (18) :

Prabhat Yadav  (10 years ago)

16x – 6 > 42 => 16x >48 => x>3 ...(1)
And 7x – 24 < 60 = > 7x x 3 and y - 2 5 or y < 14
Combining the above range, we get, 5 < y < 14

Is this solution Helpfull? Yes (20) | No (4)  

Tanisha Baberwal  (10 years ago)

Firstly we take:
16x - 6 > 42 and we will reduse it to x+2 form at Left hand side so that it can be written in the form of y as y=x+2.
16x-6>42
x-(6/16)>(42/16)
addind 2 both sides:
x-(6/16)+2>(42/16)+2
hence,x+2>5
as y=x+2
so,y>5
similarly,solve 7x-24

Is this solution Helpfull? Yes (9) | No (1)  

rakesh  (10 years ago)

Ans a

Given y=x+2 (then x=y-2)

16 (y-2) - 6 > 42 ( this eq results y>5)

7 (y-2) -24 < 60 ( this eq results y

Is this solution Helpfull? Yes (9) | No (1)  

ARAVETI VASAVI  (10 years ago)

ans is option a

Is this solution Helpfull? Yes (4) | No   

rajveer singh  (10 years ago)

option a is correct

Is this solution Helpfull? Yes (1) | No   

Payel Chandra  (10 years ago)

16x-6>42
16x>48
x>3........(i)
similarly from 7x-24

Is this solution Helpfull? Yes (1) | No   

chetan anand  (9 years ago)

ans is (a)

Is this solution Helpfull? Yes (1) | No   

DEEPANSHI SRIVASTAVA  (10 years ago)

ans = (a)542 -> x>42/16 -> x>3
eq2- 7x-24

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ROOPA SUDHA CHINNAGANDHAM  (10 years ago)

16x-6>42 => x>48/16 =>x>3.. 7x-247x x

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prasanna  (10 years ago)

ans a)
check all options like this 5

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Sunku Mounika  (10 years ago)

Option a is the correct one.

Is this solution Helpfull? Yes | No   

Manne Hareesh  (10 years ago)

a is correct

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Mounika Kosaraju  (10 years ago)

16x-6>42 and 7x-243 and x5 and y

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Ram Yalamanchili  (10 years ago)

solve 16x-6>42 and 7x-24>60 we get x>3 and x

Is this solution Helpfull? Yes | No (2)  

pravinkumar jaiswal  (9 years ago)

ans a bcj it sholud be less than 14

Is this solution Helpfull? Yes | No (1)  

mansi agarwal  (9 years ago)

Answer is a

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Nitin Gupta  (8 years ago)

Can anyone explain it clearly?

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kavyakomari  (8 years ago)

y=x+2 i.e x=y-2 sustitute x value in 16x-6>42
16(y-2)-6>42
16y-32-6>42
16y-38>42
16y>80
y>5

like wise in 7x-24

Is this solution Helpfull? Yes | No   

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