CAT Exam Model Paper 1 with solutions for free online practice

Question : 91 of 100

Marks: +1, -0

If 13x + 1 < 2z and z + 3 = 5y

^{2}

, then

Solution:

(d)13x + 1 < 2z and z + 3 = 5y

^{2}

Combining the two equations, we get
13x + 7 < 10 y

^{2}

Let us consider x = 1 and y = 2, then we have

13 × 1 + 7 < 10 × ( 2 ) ^ { 2 } ⇒ 20 < 40

when ( x = 1) < ( y = 2), the given inequality is satisfied. Hence choice (b) and (c) are eliminated.
Now, we consider x = 4 and y = 3, we have

13 ×4 + 7 < 10× ( 3 ) ^ { 2 } , 59 < 90

Hence, option (a) is also ruled out.
Therefore, option (d) is best answer.

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