Correct Answer: 36

Solution : Given,
A boat can go 5 km upstream and 7$\frac{1}2{}$ downstream in 45 minutes.
It can go 5 km downstream and 2.5 km upstream in 25 minutes.
We know,
Time = $\frac{\text{Distance}}{\text{Speed}}$
Let the speed of the boat upstream be U and the speed of

Correct Answer: Cathy Freeman

Solution : Correct Answer is Cathy Freeman

Former Australian sprinter Cathy Freeman excelled in the 400-meter race. At the Summer Olympics of 2000, where she lit the Olympic Flame, she won the gold medal for the women's 400 meter race. At the age of 16, in

Correct Answer: Finance Commission

Solution : The correct option is the Finance Commission.

The Finance Commission is a constitutional body set up under Article 280 of the Constitution. After every five years, this commission is to be set up with a chairman along with four members. It is a constitutional

Correct Answer: Obssess

Solution : The word spelt incorrectly is the third option.

The correct spelling is obsess. It means to preoccupy someone's thoughts or mind continually or intrusively.

The meanings of the other options are as follows:

• Weave means to form a fabric by interlacing threads or strands.
• Heave

Correct Answer: 0.268

Solution : $\tan 2 \alpha = \frac{2 \tan \alpha}{1 – \tan^2 \alpha}$
Putting $\alpha = 15°$
$\tan 2 \times 15°= \frac{2 \tan 15°}{1 – \tan^2 15°}$
$⇒\tan 30°=\frac{2 \tan 15°}{1–\tan^2 15°}$
$⇒\frac{1}{\sqrt{3}} = \frac{2 \tan 15°}{1 – \tan ^2 15°}$
$⇒1 – \tan^2 15° = \sqrt{3}\times 2

Correct Answer: Ratna

Solution : The correct option is Ratna.

Ratna is a semi- dwarf varieties of rice developed in India. Sonalika is an excellent late-sowing variety. It is rust-resistant. Kalyan Sona is a double dwarf wheat with broad adaption that is recommended for planting across India. Girija is a

Correct Answer: 8

Solution : Given: 

In the first column, (7 x 8 + 4) = 60

In the second column, (9 x 9 + 9) = 90

In the third column, (8 x ? + 6) =

Correct Answer: HCUBIP

Solution : Given:
PUBLIC is written as TIEIUY and SERVER is written as WEUSEN.

For PUBLIC –

Thus, PUBLIC is coded as TIEIUY.
Likewise, for SERVER –

So, SERVER is coded as WEUSEN.
Similarly, follow the same pattern for DIRECT –

So, DIRECT is coded as HCUBIP

Correct Answer: $24\sqrt2$

Solution : Given: $x=\sqrt{2}+1$
Thus, $\frac{1}{x}=\sqrt{2}-1$
$x+\frac{1}{x}=(\sqrt{2}+1)+(\sqrt{2}-1)=(\sqrt{2}+1+\sqrt{2}-1)=2\sqrt{2}$
$x-\frac{1}{x}=(\sqrt{2}+1)-(\sqrt{2}-1)=(\sqrt{2}+1-\sqrt{2}+1)=2$
So, $(x^2+\frac{1}{x^2})=6$
We know that,
$x^4-\frac{1}{x^4}=(x^2+\frac{1}{x^2})(x^2-\frac{1}{x^2})=(x^2+\frac{1}{x^2})(x+\frac{1}{x})(x-\frac{1}{x})$
Putting the values we get,
⇒ $x^4-\frac{1}{x^4}=6×2×2\sqrt{2}$
$\therefore x^4-\frac{1}{x^4}=24\sqrt{2}$
Hence, the correct answer is $24\sqrt{2}$.

Correct Answer: 26 days

Solution : According to the question,
Numan $× \frac{4}{5}$ = Gagan $× \frac{1}{2}$
⇒ Numan = Gagan $× \frac{5}{8}$
⇒ $\frac{\text{Numan}}{\text{Gagan}} = \frac{5}{8}$
Let Numan’s efficiency = 5 units/day
And, Gagan’s efficiency = 8 units/day
So, the total work $= 16 × (5 + 8)=16 ×