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20 Views

Question : If $N=\frac{(\sqrt7-\sqrt3)}{(\sqrt7+\sqrt3)}$, then what is the value of $(N+\frac{1}{N})$?

Option 1: $2\sqrt2$

Option 2: $5$

Option 3: $10$

Option 4: $13$

Team Careers360 23rd Jan, 2024

Correct Answer: $5$


Solution : $N=\frac{(\sqrt7-\sqrt3)}{(\sqrt7+\sqrt3)}$, then what is the value of $N+(\frac{1}{N})$
$\frac{1}{N}=\frac{(\sqrt7+\sqrt3)}{(\sqrt7-\sqrt3)}$
To find: $N+(\frac{1}{N})$
Putting the values, we get:
$\frac{(\sqrt7-\sqrt3)}{(\sqrt7+\sqrt3)}+\frac{(\sqrt7+\sqrt3)}{(\sqrt7-\sqrt3)}$
= $\frac{(\sqrt7-\sqrt3)^2+(\sqrt7+\sqrt3)^2}{(\sqrt7+\sqrt3)(\sqrt7-\sqrt3)}$
= $\frac{(7+3-2\sqrt7\sqrt3)+(7+3+2\sqrt7\sqrt3)}{(7-3)}$
= $\frac{20}{4}$
= 5
Hence, the correct answer is $5$.

20 Views

Question : An amount of Rs.12,029 is divided among P, Q, and R such that P's share is 5 times Q's share and R's share is one-third of P's share. what is the share of R?

Option 1: Rs. 2,718

Option 2: Rs. 2,312

Option 3: Rs. 2,615

Option 4: Rs. 2,518

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 2,615


Solution : Total amount = Rs. 12,029
P's share = 5Q
R's share = $\frac{1}{3}$P = $\frac{5}{3}$Q
P's Share + Q's Share + R's Share = 12029
$5\text{Q} + \text{Q} + \frac{5}{3}\text{Q}$ = 12029
⇒ $\frac{15\text{Q} + 3\text{Q} + 5\text{Q}}{3}$ = 12029
⇒ $\frac{23\text{Q}}{3}$ = 12029

25 Views

Question : Directions: In a certain code language,
A + B means A is the son of B,
A – B means A is the sister of B,
A × B means A is the mother of B,
A ÷ B means A is the brother of B.
Based on the above, how is P related to S if P × Q ÷ R – T + S?

Option 1: Father's mother

Option 2: Sister

Option 3: Wife

Option 4: Mother

Team Careers360 15th Jan, 2024

Correct Answer: Wife


Solution : As per the given information, the family tree will be as follows – 


Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, P is the wife of S. Hence, the third option is correct.

35 Views

Question : In which of the following states is the pre-historic site called Daimabad located?

Option 1: Madhya Pradesh

Option 2: Gujarat

Option 3: Maharashtra

Option 4: Uttar Pradesh

Team Careers360 25th Jan, 2024

Correct Answer: Maharashtra


Solution : The correct option is Maharashtra.

Daimabad is an archaeological site situated in the Ahmednagar district of Maharashtra, India. It is known for its association with the Harappan civilisation and is considered one of the most important archaeological sites in India. The site dates back

29 Views

Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word.
ROTARYBLUES

Option 1: STARY

Option 2: LOTUS

Option 3: TABLET

Option 4: BUTLER

Team Careers360 23rd Jan, 2024

Correct Answer: TABLET


Solution : Given:
ROTARYBLUES

Now, let's compare all the option words with the word ROTARYBLUES –
First option: STARY; All the letters of STARY are present in the word ROTARYBLUES.
Second option: LOTUS; All the letters of LOTUS are present in the word ROTARYBLUES.
Third option: TABLET;

80 Views

Question : Select the most appropriate homophone to fill in the blank.

The dog took a ______ during his walk and lifted his ______ to indicate that he was tired.

Option 1: pause, pours

Option 2: pours, pores

Option 3: paws, pause

Option 4: pause, paws

Team Careers360 15th Jan, 2024

Correct Answer: pause, paws


Solution : The fourth option is the correct choice.

The homophones pause and paws are the correct words to fill in the blanks. Pause means to take a small break, and paws means an animal's (dog, in this context) foot.

Therefore, the complete sentence is: The

21 Views

Question : What are the basic functions of the Public Accounts Committee (PAC)?

Option 1: To examine the statement of accounts showing the income and expenditure of state corporations, trading and manufacturing schemes and projects.

Option 2: To examine the accounts of stores and stocks.

Option 3: To examine the statement of accounts of autonomous bodies.

Option 4: All the above

Team Careers360 22nd Jan, 2024

Correct Answer: To examine the statement of accounts showing the income and expenditure of state corporations, trading and manufacturing schemes and projects.


Solution : The correct option is To examine the statement of accounts showing the income and expenditure of state corporations, trading and manufacturing schemes and projects.

The

15 Views

Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
6 ÷ 48 + 12 × 9
7 = 35

Option 1: ÷ and +

Option 2: ÷ and ×

Option 3: × and –

Option 4: × and +

Team Careers360 12th Jan, 2024

Correct Answer: ÷ and +


Solution : Given:
6 ÷ 48 + 12 × 9 – 7 = 35

Let's check the options –
First option: ÷ and +
6 + 48 ÷ 12 × 9 – 7 = 35
L.H.S. = 6 + 48 ÷ 12 × 9 –

3 Views

Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word.
Thyroid : Iodine :: Night blindness : ?

Option 1: Vitamin A

Option 2: Vitamin B

Option 3: Vitamin C

Option 4: Vitamin D

Team Careers360 21st Jan, 2024

Correct Answer: Vitamin A


Solution : Given:
Thyroid : Iodine :: Night blindness : ?

Like, Thyroid is caused by the deficiency of Iodine in the Human body.
Similarly, Night blindness is caused by the deficiency of Vitamin A in the Human body.

Hence, the first option is correct.

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