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13 Views

Question : The given expression is equal to: $(\cot B-\tan B)\sin B\cos B$:

Option 1: $1-2 \sec ^2 B$

Option 2: $1-2 \cos ^2 {B}$

Option 3: $2 \cos ^2 {B}-1$

Option 4: $2 \sec ^2 {B}-1$

Team Careers360 13th Jan, 2024

Correct Answer: $2 \cos ^2 {B}-1$


Solution : $(\cot B-\tan B)\sin B\cos B$
= $(\frac{\cos B}{\sin B}-\frac{\sin B}{\cos B})\sin B\cos B$
= $(\frac{\cos^2 B - \sin^2 B}{\sin B\cos B})\sin B\cos B$
= $\cos^2 B - \sin^2 B$
= $\cos^2 B - (1- \cos^2 B)$
= $2\cos^2 B - 1$
Hence,

12 Views

Question : Directions: Ajay, Priti, Rakesh, Mehak, Saloni, and Yogesh are sitting in a row facing north. Saloni and Yogesh are sitting in the centre. Ajay and Priti are at the ends. Rakesh is sitting to the immediate left of Ajay. Who is sitting to the immediate right of Priti?

Option 1: Yogesh

Option 2: Saloni

Option 3: Mehak

Option 4: Rakesh

Team Careers360 16th Jan, 2024

Correct Answer: Mehak


Solution : Given:
 (I) Ajay, Priti, Rakesh, Mehak, Saloni, and Yogesh are sitting in a row facing north.
    North facing row; Left end;_, _, _, _, _; Right end
(II) Saloni and Yogesh are sitting in the centre.
      _, _, Saloni, Yogesh, _, _
(III) Ajay and

19 Views

Question : A line of length 1.5 metres was mistakenly measured as 1.55 metres. What is the percentage error in the measurement?

Option 1: $0.05$%

Option 2: $3\frac{7}{31}$%

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

Option 4: $0.5$%

Team Careers360 16th Jan, 2024

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


Solution : Given: A line of length 1.5 metres was measured as 1.55 metres by mistake.
Wrong Number = 1.55 metres
Actual Number = 1.5 metres
Error percentage = $\frac{\text{Wrong number – Actual number}}{\text{Actual number}}$ × 100
= $\frac{1.55-1.5}{1.5}$ × 100
= $\frac{0.05}{1.5}$ × 100
= $\frac{5}{1.5}$%

14 Views

Question : J1 can do a piece of work alone in 10 days, J2 can do the same work alone in 12 days, while J3 can do it alone in 15 days. They work together and complete the work, and receive a total of INR 2,250 for doing the work. What is the difference in the shares of Jand J3?

Option 1: INR 450

Option 2: INR 400

Option 3: INR 300

Option 4: INR 350

Team Careers360 12th Jan, 2024

Correct Answer: INR 300


Solution : LCM of 10. 12 and 15 is 60
Total work = 60
Efficiency of J1 = $\frac{60}{10}=6$
Efficiency of J2 = $\frac{60}{12}=5$
Efficiency of J3 = $\frac{60}{15}=4$
The ratio of their efficiencies = 6 : 5 : 4
Amount received =

24 Views

Question : Which temple is the epicentre for the Rath Yatra in Odisha?

Option 1: Lingaraja Temple

Option 2: Konark Temple

Option 3: Mukteshwar Temple

Option 4: Jagannath Puri Temple

Team Careers360 19th Jan, 2024

Correct Answer: Jagannath Puri Temple


Solution : The correct answer is Jagannath Puri Temple.

Celebrated annually during the bright half of the lunar month of Ashadha, the Ratha Yatra of Puri, also known as the Ratha Jatra, is regarded as the oldest and largest Hindu chariot event. The three

19 Views

Question : What is the value of $111\frac{1}{2} + 111\frac{1}{6} + 111\frac{1}{12} + 111\frac{1}{20} + 111\frac{1}{30}?$

Option 1: $111\frac{1}6$

Option 2: $111\frac{5}6$

Option 3: $555\frac{5}6$

Option 4: $555\frac{1}6$

Team Careers360 15th Jan, 2024

Correct Answer: $555\frac{5}6$


Solution : $111 \frac{1}{2} + 111 \frac{1}{6} + 111\frac{1}{12}+111 \frac{1}{20} + 111\frac{1}{30}$
= $5\times 111+( \frac{1}{2} + \frac{1}{6} + \frac{1}{12}+\frac{1}{20} + \frac{1}{30})$
= $555+( \frac{1}{1\times 2} + \frac{1}{2\times 3} + \frac{1}{3\times 4}+\frac{1}{4\times 5} + \frac{1}{5\times 6})$
= $555+(\frac{1}{1}-\frac{1}{2} + \frac{1}{2} -\frac{1}{3}+ \frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5} + \frac{1}{5}-\frac{1}{6})$
= $555 +(\frac{1}1-\frac{1}6)$

17 Views

Question : Directions: In this question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.

Lata Mangeshkar was ___ with a natural talent for music.

Option 1: Given

Option 2: found

Option 3: endowed

Option 4: entrusted

Team Careers360 20th Jan, 2024

Correct Answer: endowed


Solution : The correct word to fill in the blank is the third option.

This means to be naturally gifted or possessed of a particular quality or talent. In the context of the sentence, it conveys the idea that Lata Mangeshkar had an inherent, natural talent for

13 Views

Question : Tribal leader Birsa was associated with which tribe?

Option 1: Munda

Option 2: Bhil

Option 3: Gond

Option 4: Bhutia

Team Careers360 17th Jan, 2024

Correct Answer: Munda


Solution : The correct option is Munda.

Tribal leader Birsa Munda emerged as a tribal leader from Bihar and Jharkhand belt. He belonged to the Munda tribe. He encouraged his people to follow their religion and culture. The birth anniversary of Birsa Munda is celebrated as

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