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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: $13$
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 $5$.
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
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
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
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.
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
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
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
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;
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
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
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
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
Question : Directions: The line chart given below shows the ratio of production to sales of two bike manufacturing firms over 6 years.
Assume that if sales in any year are greater than production, then both companies have sufficient stock to meet such instances.
The production of Company 1 in 2014 was 18,000, and the sales of Company 2 in 2012 were 15,000. What is the ratio of the difference in sales and production between Company 1 in 2014 and Company 2 in 2012?
Option 1: 8 : 15
Option 2: 7 : 16
Option 3: 9 : 11
Option 4: 3 : 8
Correct Answer: 8 : 15
Solution : Let $s$ and $p$ denote the sales and the production for Company 1 and Company 2 respectively. The Company 1 in the year 2014, The production was 1,800 units. The ratio of production to sales = $\frac{18000}{s}$ = 0.9 The sales = $\frac{18000}{0.9}$
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 +
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 –
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
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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