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Correct Answer: 1717

Solution : The value of $x=\frac{\sqrt{13}+\sqrt{11}}{\sqrt{13}-\sqrt{11}} $
After rationalizing this, we get,
$ =\frac{(\sqrt{13}+\sqrt{11})(\sqrt{13}+\sqrt{11})}{(\sqrt{13}-\sqrt{11})(\sqrt{13}+\sqrt{11})} $ $=\frac{(13+2\sqrt{143}+11)}{(13-11)} =\frac{24+2\sqrt{143}}{2} =12+\sqrt{143}$
The value of $y=\frac{1}{x} =\frac{1}{12+\sqrt{143}} $
After rationalizing this, we get,
$ =\frac{(12-\sqrt{143})}{(12+\sqrt{143})(12-\sqrt{143})} =\frac{(12-\sqrt{143})}{1} =
12-\sqrt{143}$
$⇒3x^{2}-5xy+3y^{2}$
$=3(12+\sqrt{143})^{2}-5(12+\sqrt{143})(12-\sqrt{143})+3(12-\sqrt{143})^{2}$
$=3(144+24\sqrt{143}+143)-5(144-143)+3(144-24\sqrt{143}+143)$
$=3(287+24\sqrt{143})-5+3(287-24\sqrt{143})$
$=861+72\sqrt{143}-5+861-72\sqrt{143}$
$=1717$
Therefore, the value of $3x^{2}-5xy+3y^{2}$ is 1717.

Correct Answer: 1

Solution : The correct answer is 1

The Ganga-Bhagirathi-Hooghly river system forms the National Waterway (NW)-1. It travels 1620 miles through West Bengal, Bihar, Jharkhand, and Uttar Pradesh. The Hooghly River System between Haldia and Allahabad was declared National Waterway No. 1 (NW-1) in 1986.

Correct Answer: Nandivarman II

Solution : The correct option is Nandivarman II.

The famous Vaikunta Perumal temple at Kanchipuram was erected in the 8th century CE by Pallava monarch Nandivarman II. It is devoted to the Hindu god Vishnu, known as Vaikunta Perumal, and his spouse, Goddess Lakshmi, known

Correct Answer: 2

Solution : The second option is the correct choice.

The phrase "nothing to write home about" means not very exciting.

It should be used instead of "so very ordinary" because it is the proper adjective phrase. "So" and "very" can come together only in spoken English. The

Correct Answer:

Solution : The opposite pairs of faces are as follows –

So, in the 3D view of dice,
1. Each face out of the three faces in the 3D view should be from all the pairs.
2. Two opposite faces cannot appear adjacently in the 3D view of

Correct Answer: Rs. 8,000

Solution : Let the Principal amount be Rs. $P$.
We know that Compound Interest amount $A=P(1+\frac{r}{100})^n$
The amount at the end of the first year $= P(1+\frac{5}{100})$
= $1.05P$
The amount at the end of the second year $= P(1+\frac{5}{100})^2$
= $1.1025P$
The Compound Interest earned

Correct Answer: 32, 88, 98, 33

Solution : Given:
BLOW

Number representations of each letter –
B→00, 14, 23, 32, 41
L→56, 65, 79, 88, 97
O→57, 66, 75, 89, 98
W→01, 10, 24, 33, 42

Let's check the options –
First option: 14, 56, 89, 34 – W cannot

Correct Answer: 80 km

Solution : Given: Time taken to reach from P to Q = 7 hours
Speed for the $\frac{1}{4}$^th of the distance = 10 km/hr
Speed for the remaining distance = 12 km/hr
Let the distance be $4x$ km.
According to the given condition,
$\frac{x}{10}+\frac{3x}{12}=7$
⇒

Correct Answer: Bitter

Solution : The correct choice is the third option.

Sweet means having a pleasant taste, especially one with a sugary flavour.

Bitter means having an unpleasant taste that is the opposite of sweet.

The meanings of the other options are as follows:

• Delicious means extremely pleasant

Correct Answer: 18%

Solution : Total amount at the end of 5th year = Rs. 14,250
Total amount at the end of 4th year = Rs. 12,900
Let $R$ be the rate.
Simple Interest in one year
= Total amount at the end of 5th year – Total amount at