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12 Views

Question : If $a, b, c$ are all non-zero and $a+b+c=0$, then find the value of $\frac{a^2}{b c}+\frac{b^2}{c a}+\frac{c^2}{ab}$.

Option 1: $3$

Option 2: $4$

Option 3: $1$

Option 4: $\frac{1}{2}$

Team Careers360 23rd Jan, 2024

Correct Answer: $3$


Solution : Given: $a+b+c=0$
According to the question,
$a^3+b^3+c^3=3abc$
Dividing both sides by $abc$, we get
$\frac{a^3}{abc}+\frac{b^3}{abc}+\frac{c^3}{abc}=\frac{3abc}{abc}$
⇒ $\frac{a^2}{bc}+\frac{b^2}{ac}+\frac{c^2}{ab}=3$
Hence, the correct answer is 3.

17 Views

Question : If $\cos A=\frac{15}{17}, 0 \leq A \leq 90^{\circ}$, then the value of $\cot(90° - A)$ is:

Option 1: $\frac{8}{15}$

Option 2: $\frac{2 \sqrt{2}}{15}$

Option 3: $\frac{\sqrt{2}}{15}$

Option 4: $\frac{7}{15}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{8}{15}$


Solution : Given: $\cos A=\frac{15}{17}$
$\sec A=\frac{1}{\cos A}=\frac{17}{15}$
$\cot(90^\circ - A)=\tan A=\sqrt{\sec^2 A-1}$
$=\sqrt{(\frac{17}{15}^2)-1}$
$=\sqrt{\frac{289}{225}-1}$
$=\sqrt{\frac{289-225}{225}}$
$=\sqrt{\frac{64}{225}}$
$=\frac{8}{15}$
Hence, the correct answer is $\frac{8}{15}$.

9 Views

Question : Which among the following has written the book ‘The Pregnancy Bible’?

Option 1: Vidya Balan

Option 2: Shilpa Shetty

Option 3: Rani Mukherji

Option 4: Kareena Kapoor

Team Careers360 22nd Jan, 2024

Correct Answer: Kareena Kapoor


Solution : The correct answer is Kareena Kapoor.

The Pregnancy Bible is a book written by Kareena Kapoor. It is a comprehensive guide to pregnancy, covering everything from conception to birth. 

The book is approved by the Federation of Obstetric and Gynaecological Societies of India (FOGSI),

2 Views

Question : Directions: Study the bar diagram and answer the question.
Total number of boys and girls in five different departments of a college.

The percentage of the boys from the Biology department compared to the total number of boys from all the departments together is:

Option 1: $33\frac{1}{2}\%$

Option 2: $50\%$

Option 3: $33\frac{1}{3}\%$

Option 4: $30\%$

Team Careers360 23rd Jan, 2024

Correct Answer: $33\frac{1}{3}\%$


Solution : From the given graph,
The total number of boys from all the departments = 60 + 220 + 100 + 160 + 120 = 660
The number of boys in the Biology Department = 220
The required percentage = $\frac{\text{The number of boys in the

8 Views

Question : Directions: In a certain code language, EDITOR is coded as CBGQLO. What is the code for FOLDER in that code language?

Option 1: DMJABO

Option 2: BMJBCR

Option 3: DMJACO

Option 4: DMJABR

Team Careers360 25th Jan, 2024

Correct Answer: DMJABO


Solution : Given:
EDITOR is coded as CBGQLO.

Subtract 2 from the place value of the first three letters and subtract 3 from the place value of the last three letters of EDITOR to obtain the required code –
E – 2 = C; D – 2

16 Views

Question : The following histogram shows the weekly wages of workers at a factory.

How many workers get wages of more than Rs.200?

Option 1: 95

Option 2: 85

Option 3: 70

Option 4: 80

Team Careers360 23rd Jan, 2024

Correct Answer: 85


Solution : According to the question:
Number of workers getting wages of more than Rs. 200 = 20 + 50 + 15 = 85
Hence, the correct answer is 85.

25 Views

Question : Directions: Words given on the left side of (::) are related to each other by some Logic/Rule/Relation. Select the missing word/word pair on the right side of (::) from the given alternatives based on the same Logic/Rule/Relation.
Sword : Warrior :: ?

Option 1: Mason : Plumbline

Option 2: Scalpel : Sculptor

Option 3: Axe : Woodcutter

Option 4: Tailor : Needle

Team Careers360 22nd Jan, 2024

Correct Answer: Axe : Woodcutter


Solution : Given:
Sword : Warrior (Sword is used by a Warrior who fights in a war).

Let's check the options –
First option: Mason : Plumbline; Plumbline is a tool used by Mason but the words are written in the reverse order.
Second option:

10 Views

Question : Directions: Read the following pie chart carefully to answer the question. Distribution of sales of Hindi and English newspapers in five localities (A, B, C, D, and E).

English newspaper:

Hindi newspaper:

What is the ratio of the average number of sales of English newspapers in localities B and D together to the average sale of Hindi newspapers in all the localities?

 

Option 1: 25 : 32

Option 2: 40 : 33

Option 3: 33 : 40

Option 4: 43 : 33 

Team Careers360 22nd Jan, 2024

Correct Answer: 25 : 32


Solution : The average sales of English newspapers in localities B and D = $\frac{2000+3000}{2}$
= $\frac{5000}{2}$
= 2500
The average sale of Hindi newspapers in all the localities = $\frac{4000+2500+3600+2400+3500}{5}$
= $\frac{16000}{5}$
= 3200
The ratio of the average sales of English newspapers in

22 Views

Question : A and B together can complete a piece of work in 18 days, B and C in 24 days, and A and C in 36 days. In how many days, will all of them together complete the work?

Option 1: 16 days

Option 2: 15 days

Option 3: 12 days

Option 4: 10 days

Team Careers360 22nd Jan, 2024

Correct Answer: 16 days


Solution : 1 day work of A and B = $\frac{1}{18}$ ---------(1)
1 day work of B and C = $\frac{1}{24}$ ---------(2)
1 day work of A and C = $\frac{1}{36}$ ---------(3)
Adding equations (1), (2) and (3), we get:
⇒ 2 × (A + B

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