Mathematical Reasoning & Aptitude MCQ Questions for UGC-NET

12 x 1/2 : 12 x 1/3 : 12 x 3/4
=6:4:9
Share of C = 9*3800/19 = 1800

Cost of 10 kg Basmati rice: 10×50=₹500
Cost of 15 kg ordinary rice: 15×20=₹300
Total cost: ₹500+₹300=₹800
Total quantity: 10+15=25 kg
Cost price per kilogram: ₹80/12= ₹32
Selling price after a 25% gain: ₹32+ (25/100 x ₹32) = ₹32+₹8 = ₹40

Let the original speed be '\(x\)' km/h.

The speed during the second part is: \(x+6\) km/h

Using: \[\text{Speed}=\frac{\text{Distance}}{\text{Time}}\]
The total time equation is: \((63/x) + {72/(x+6)}\)

Multiplying by \(x(x+6)\):

\(63(x+6)+72x=3x(x+6)\)
\(63x+378+72x=3(x^{2}+18x)\)
\(3x2−117x−378=0\)

Dividing by 3:

\(x^2-39x-126=0\)
\((x−42)(x+3)=0\)
Therefore, \(x=42\) or \(x=-3\). Speed cannot be negative, so:

\(x=42 km/h\)
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