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16 Views

Question : If $3\sqrt{\frac{1-a}{a}}+9=19-3\sqrt{\frac{a}{1-a}};$ then, what is the value of $a?$

Option 1: $\frac{3}{10}$ and $\frac{7}{10}$

Option 2: $\frac{1}{10}$ and $\frac{9}{10}$

Option 3: $\frac{2}{5}$ and $\frac{3}{5}$

Option 4: $\frac{1}{5}$ and $\frac{4}{5}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{1}{10}$ and $\frac{9}{10}$


Solution : Put $\sqrt{\frac{(1 - a)}{a}} = x$
⇒ $3x + 9 = 19 - \frac{3}{x}$
⇒ $3x + \frac{3}{x} = 10$
⇒ $x = 3, \frac{1}{3}$
Now, $\sqrt{\frac{(1 - a)}{a}} = 3$
⇒ $\frac{(1 - a)}{a}= 9$
⇒ $10a = 1$
⇒ $a =

14 Views

Question : Select the most appropriate meaning of the underlined idiom in the given sentence.

The anxious duke was found strolling in the garden to and fro.

Option 1: From north to south

Option 2: From west to east

Option 3: Forward and backward

Option 4: Upward and downward

Team Careers360 24th Jan, 2024

Correct Answer: Forward and backward


Solution : The correct choice is the third option.

The idiom "to and fro" is used to describe a back-and-forth or oscillating motion. In the sentence, the anxious duke is found "strolling in the garden to and fro" indicating a movement characterised by going

34 Views

Question : Find the difference between the Compound Interest and Simple Interest on Rs. 32,000 at 10% p.a. for 4 years.

Option 1: Rs. 2,051.20

Option 2: Rs. 2,052.50

Option 3: Rs. 2,025.20

Option 4: Rs. 2,501.20

Team Careers360 23rd Jan, 2024

Correct Answer: Rs. 2,051.20


Solution : Sum, P = Rs. 32,000
Rate, R = 10%
Term, $n$ = 4 years
When compounded annually, Compound Interest after n years = $P[(1+\frac{R}{100})^{n}–1]$
Compound Interest after 4 years = $32000[(1+\frac{10}{100})^{4}–1]$
= Rs.14,851.20
Simple Interest after n years = $\frac{PnR}{100}$
Simple Interest after 4

17 Views

Question : Comprehension:

Read the given passage and answer the questions that follow.

Her name was Sulekha, but since her childhood, everyone had been calling her Bholi, the simpleton. She was the fourth daughter of Ramlal. When she was ten months old, she had fallen off the cot on her head and perhaps it had damaged some part of her brain. That was why she remained a backward child and came to be known as Bholi, the simpleton. At birth, the child was very fair and pretty. But when she was two years old, she had an attack of smallpox. Only the eyes were saved, but the entire body was permanently disfigured by deep black pockmarks. Little Sulekha could not speak till she was five as she was a slow learner, and when at last she learnt to speak, she stammered. The other children often made fun of her and mimicked her. As a result, she talked very little. Ramlal had seven children - three sons and four daughters, and the youngest of them was Bholi. It was a prosperous farmer's household and there was plenty to eat and drink. All the children except Bholi were healthy and strong. The sons had been sent to the city to study in schools and later in colleges. Of the daughters, Radha, the eldest, had already been married. The second daughter Mangla's marriage had also been settled, and when that was done, Ramlal would think of the third, Champa. They were good-looking, healthy girls, and it was not difficult to find bridegrooms for them. But Ramlal was worried about Bholi. She had neither good looks nor intelligence. From her very childhood, Bholi was neglected at home. She was seven years old when Mangla was married. The same year a primary school for girls was opened in their village. The Tehsildar sahib came to perform its opening ceremony. He said to Ramlal, "As a revenue official you are the representative of the government in the village and so you must set an example to the villagers. You must send your daughters to school." That night when Ramlal consulted his wife, she cried, "Are you crazy? If girls go to school, who will marry them?" But Ramlal had not the courage to disobey the Tehsildar. At last, his wife said, "I will tell you what to do. Send Bholi to school. As it is, there is little chance of her getting married, with her ugly face and lack of sense. Let the teachers at school worry about her."

Question:
Why was Ramlal worried about Bholi?

Option 1: She was not willing to get educated.

Option 2: She was too old to get married.

Option 3: It would be difficult to arrange her marriage.

Option 4: It was difficult to comprehend her speech.

Team Careers360 22nd Jan, 2024

Correct Answer: It would be difficult to arrange her marriage.


Solution : The correct choice is the third option.

Ramlal's worry about Bholi stemmed from her physical and intellectual challenges. She was disfigured by smallpox scars and was a slow learner, causing him concern about her prospects, especially for

40 Views

Question : A man rows to a place 35 km in distance and back in 10 hours 30 minutes. He found that he could row 5 km with the stream at the same time as he could row 4 km against the stream. Find the rate of flow of the stream:

Option 1: 1 km/hr

Option 2: 0.5 km/hr

Option 3: 0.75 km/hr

Option 4: 1.5 km/hr

Team Careers360 25th Jan, 2024

Correct Answer: 0.75 km/hr


Solution : Given: Time taken to row 5 km with the stream = Time taken to row 4 km against the stream.
Also, the time taken to row 35 km and back = 10 hours 30 minutes
Let the speed of man and stream be $V,

31 Views

Question : There is a number consisting of two digits, the digit in the unit place is twice that in the tens place and if 2 is subtracted from the sum of the digits, the difference is equal to $\frac{1}{6}$th of the number. The number is:

Option 1: 26

Option 2: 25

Option 3: 24

Option 4: 23

Team Careers360 24th Jan, 2024

Correct Answer: 24


Solution : Let the tens digit be $x$.
Then, the unit digit is $2x$.
The number is given as $10x + 2x = 12x$.
According to the question,
⇒ $\frac{1}{6}\times 12x = x + 2x -2$
⇒ $2x=3x-2$
⇒ $3x-2x = 2$
$\therefore x=2$
The number is

7 Views

Question : Directions: Four parallel cuts are made on each axis of a large cube. How many small cubes will be obtained?

Option 1: 216

Option 2: 64

Option 3: 125

Option 4: 343

Team Careers360 23rd Jan, 2024

Correct Answer: 125


Solution : In one layer, there are 5 × 5 = 25 cubes

The total number of cubes in the figure is 5 × 25 =125. Hence, the third option is correct.

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