Correct Answer: 36

Solution : The figure can be labeled as shown below –

There are a total of 36 triangles in the above figure. They are AEI, IEB, BJF, CJF, DKG, CKG, HAL, DHL, AEB, BFC, CGD, DHA, AML, LMD, DMK, KMC, CMJ, JMB, BMI, IMA, AMD, DMC, CMB,

Correct Answer: 922

Solution : Let the loan amount be P.
Then using
P = $\frac{\text{A}}{(1 +\frac{\text{R}}{100})^T}$, where A is amount due at R% rate of interest for $T$ years
⇒ P = $\frac{5808}{(1+\frac{10}{100})}$ + $\frac{5808}{(1+\frac{10}{100})^{2}}$ 
= $\frac{5808}{\frac{11}{10}}$ + $\frac{5808}{\frac{121}{100}}$ 
= $\frac{58080}{11}$ + $\frac{580800}{121}$ 
= 5280 + 4800
= 10080

Correct Answer: All are correct

Solution : The correct answer is All are correct.

For the first time, the Olympics happened in 1896 in Athens, Greece.

The locations of some of the recent Olympic events are:

• Summer Olympics 2012- London
• Summer Olympics 2016- Rio de Janeiro
• Summer Olympics 2020-

Correct Answer: 33 cm²

Solution : Given: The curved surface area of a solid hemisphere is 22 cm².
The curved surface area of the hemisphere = $2\pi r^2$
The total surface area of the hemisphere = $3\pi r^2$
where $r$ is the radius.
According to the question,

Correct Answer: 1

Solution : Given:
$\frac{1}{2}, \frac{3}{4}, ?, \frac{5}{4}$

In the given series, add $\frac{1}{4}$ to the previous number to get the next number.
$\frac{1}{2}$ + $\frac{1}{4}$ = $\frac{3}{4}$; $\frac{3}{4}$ + $\frac{1}{4}$ = $\frac{4}{4}$ = 1; 1 + $\frac{1}{4}$ = $\frac{5}{4}$

So, 1 is the missing number of the

Correct Answer: 1

Solution : $ax+by=1$ ---------------------------------------(1)
$bx+ay=\frac{2ab}{a^{2}+b^{2}}$ -----------------------------------(2)
On dividing equation (1) by (2), we get,
⇒ $\frac{ax+by}{bx+ay}=\frac{a^{2}+b^{2}}{2ab}$
⇒ $2a^{2}xb+2ab^{2}y=a^{2}bx+b^{3}x+a^{3}y+ab^{2}y$
⇒ $a^{2}xb+ab^{2}y=b^{3}x+a^{3}y$
⇒ $a^{2}xb-b^{3}x=a^{3}y-ab^{2}y$
⇒ $x(a^{2}b-b^{3})=y(a^{3}-ab^{2})$
⇒ $\frac{x}{y}=\frac{(a^{3}-ab^{2})}{(a^{2}b-b^{3})}$
⇒ $\frac{x}{y}=\frac{a(a^{2}-b^{2})}{b(a^{2}-b^{2})}$
⇒ $\frac{x}{y}=\frac{a}{b}$ ---------------------------------(3)
Putting the value of $(x,y)$ from equation (3) in equation (1), we get,
⇒ $y=\frac{b}{a^{2}+b^{2}}$
⇒

Correct Answer: 25 years

Solution : Given: Rate is 8%
Let the Principle be P.
It amounts to 3 times of itself.
Simple interest = 3P – P = 2P
We know, Simple interest $= \frac{\text{Principal × Rate × Time}}{100}$
⇒ $2P =\frac{P×8×\text{Time}}{100}$
⇒ Time = 25 years
Hence, the

Correct Answer: Tamil Nadu

Solution : The correct option is - Tamil Nadu

Most of the yearly rainfall in Tamil Nadu is accounted by the northeast monsoon. The northeast monsoon, commonly known as the winter monsoon, approaches India from that direction. The wind blows from land to sea during this

Correct Answer: $4 \frac{8}{13}$

Solution : P, Q and R can complete a task in 10 days, 15 days and 20 days, respectively.
P's work in 1 day = $\frac{1}{10}$
Q's work in 1 day = $\frac{1}{15}$
R's work in 1 day = $\frac{1}{20}$
Work done by P, Q, and

Correct Answer: 1

Solution : $\tan 5^{\circ} \tan 25^{\circ} \tan 45^{\circ} \tan 65^{\circ} \tan 85^{\circ}$
$=\tan 5^{\circ} \tan (90^{\circ} - 5^{\circ})\tan 25^{\circ} \tan (90^{\circ} - 25^{\circ}) \tan 45^{\circ}$
$=\tan 5^{\circ} \cot 5^{\circ}\tan 25^{\circ} \cot 25^{\circ} \times 1$
$=1 \times 1\times 1$
$= 1$
Hence, the correct answer is 1.