Correct Answer: 10.9 km/hr

Solution : Given:
Gautam goes to work at a speed of 12 km/hr.
He returns home at a speed of 10 km/hr.
Let the distance between home and office be $x$.
Then, the total distance is 2$x$.
Time taken to reach office  $=\frac{x}{12}$ hr
Time taken

Correct Answer: Statement i is correct , but statement II is incorrect

Solution : The correct option is Statement i is correct , but statement II is incorrect

Plant complex tissues are made up of many cell types that collaborate to accomplish specialised activities. Complex tissues include xylem and phloem,

Correct Answer: $\frac{4}{3}$

Solution : Given: $x=\frac{\sqrt{5}+1}{\sqrt{5}-1}$ and $y=\frac{\sqrt{5}-1}{\sqrt{5}+1}$, then
$x^2=\frac{5+1+2\sqrt{5}}{5+1-2\sqrt{5}}$ and $y^2=\frac{5+1-2\sqrt{5}}{5+1+2\sqrt{5}}$
⇒ $x^2=\frac{6+2\sqrt{5}}{6-2\sqrt{5}}$ and $y^2=\frac{6-2\sqrt{5}}{6+2\sqrt{5}}$
and, $xy = \frac{\sqrt{5}+1}{\sqrt{5}-1}×\frac{\sqrt{5}-1}{\sqrt{5}+1}=1$
Putting the values, we get:
$\frac{x^{2}+xy+y^{2}}{x^{2}-xy+y^{2}}$
= $\frac{\frac{6+2\sqrt{5}}{6-2\sqrt{5}}+1+\frac{6-2\sqrt{5}}{6+2\sqrt{5}}}{\frac{6+2\sqrt{5}}{6-2\sqrt{5}}-1+\frac{6-2\sqrt{5}}{6+2\sqrt{5}}}$
= $\frac{\frac{(6+2\sqrt{5})^2+6^2-(2\sqrt5)^2+(6-2\sqrt{5})^2}{(6)^2-(2\sqrt{5})^2}}{\frac{(6+2\sqrt{5})^2-6^2+(2\sqrt5)^2+(6-2\sqrt{5})^2}{(6)^2-(2\sqrt{5})^2}}$
= $\frac{36+20+24\sqrt5+36-20+36+20-24\sqrt5}{36+20+24\sqrt5-36+20+36+20-24\sqrt5}$
= $\frac{128}{96}$ = $\frac{4}{3}$
Hence, the correct answer is $\frac{4}{3}$.

Correct Answer: 515

Solution : Given:
206, 309, 412, ?, 618, 721

In the given series, add 103 to the previous number to obtain the next number.
206 + 103 = 309; 309 + 103 = 412; 412 + 103 = 515; 515 + 103 = 618; 618 + 103

Correct Answer: Bengal

Solution : The correct answer is Bengal.

Murshid Quli Khan, Alivardi Khan, and Siraj ud-Daulah were all Nawabs of Bengal. They ruled during different periods in the history of Bengal, with each contributing significantly to the political and cultural landscape of the region.

Correct Answer: 57, 65, 68, 02

Solution : Given:
LIKE

Number representations of each letter:
L → 85, 76, 57, 98, 69
I → 65, 86, 77, 58, 99
K → 75, 56, 97, 68, 89
E → 30, 21, 02, 43, 14

First option: 56, 58, 03, 02

Correct Answer: Narmada river

Solution : The correct answer is Narmada River.

The Narmada River originates from the Amarkantak Plateau in Madhya Pradesh.

Other options:

• The Betwa River originates from the Vindhya range, near Narmadapuram in Madhya Pradesh.
• The Godavari originates near Nashik in Maharashtra, in the Western Ghats of

Correct Answer: (–1, 1)

Solution : To find: Reflection of the point (–3, 1) in the line $x=-2$.
Reflection of a point $(x_1, y_1)$ in a line $x=a$ is $(-x_1+2a, y_1)$.
So, reflection of the point (–3, 1) in the line $x=-2$,
= (–(–3) + 2(–2), 1)
= (–1, 1)

Correct Answer: 2 December 2011

Solution : The correct option is 2 December 2011.

The Reserve Bank initially implemented a comprehensive regulatory framework for Non-Banking Financial Companies-Micro Finance Institutions (NBFC-MFIs) in December 2011. This framework established eligibility criteria for microfinance loans that were tied to essential features of microfinance, specifically

Correct Answer: Only conclusion II follows

Solution : As per the given information, let's analyse the conclusions –
Conclusion (I): All mangoes are cheap – Based on the given statements, it is given no golden-coloured things are cheap and all mangoes are golden in colour. Therefore, from this, it can