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Joint Entrance Examination (Main)

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Question : In $\triangle {ABC}$, D is a point on BC such that $\angle {ADB}=2 \angle {DAC}, \angle {BAC}=70^{\circ}$ and $\angle {B}=56^{\circ}$. What is the measure of $\angle A D C$?

Option 1: $72^{\circ}$

Option 2: $54^{\circ}$

Option 3: $74^{\circ}$

Option 4: $81^{\circ}$

Team Careers360 16th Jan, 2024

Correct Answer: $72^{\circ}$


Solution :


Let $\angle DAC = x$
$\angle ADB = 2x$
$\angle BAC = 70^\circ$
$\angle BAD = 70^\circ - x$
In $\triangle ABD $
$⇒56^\circ + 2x^\circ + 70^\circ - x = 180^\circ $
$⇒ x = 54^\circ$
$⇒2x = 108^\circ$
Now, By linear pair of

15 Views

Question : Who is generally considered to be the father of the Indian Renaissance?

Option 1: Rabindranath Tagore

Option 2: Raja Ram Mohan Roy

Option 3: Mahatma Phule

Option 4: M. G. Ranade

Team Careers360 16th Jan, 2024

Correct Answer: Raja Ram Mohan Roy


Solution : The correct answer is Raja Ram Mohan Roy.

Raja Ram Mohan Roy put up a valiant fight against the social evils that pervade Indian society. He was a freethinker with many traditions. As a result, Raja Ram Mohan Roy is credited

19 Views

Question : What accumulates in the muscles after continuous strenuous physical exercise as a result of temporary anaerobic respiration that causes muscular fatigue ?

Option 1: ATP

Option 2: Lactic acid

Option 3: Ethyl alcohol

Option 4: Carbon dioxide

Team Careers360 21st Jan, 2024

Correct Answer: Lactic acid


Solution : The correct answer is Lactic Acid.

Lactic acid builds up in the muscles of the human body as a result of strenuous exercise or muscular exhaustion. It is generated in the human body by the anaerobic respiration of carbohydrates. It is a byproduct of

20 Views

Question : Census of population in India is done after every

Option 1: 10 years

Option 2: 05 years

Option 3: 07 years

Option 4: 02 years

Team Careers360 25th Jan, 2024

Correct Answer: 10 years


Solution : The correct answer is 10 years.

First Decennial census of India was conducted in 1881 under the Viceroy Lord Mayo and Governor Lord Ripon. Since then census is conducted every 10 years. Since 1949 the responsibility of conducting census lies with Office of Registrar

16 Views

Question : The marked price of a CD is Rs. 250. It is sold for Rs. 225. The rate of discount is:

Option 1: $2.5$%

Option 2: $10$%

Option 3: $25$%

Option 4: $11\frac{1}{9}$%

Team Careers360 11th Jan, 2024

Correct Answer: $10$%


Solution : Given: The marked price of a CD is Rs. 250 and the selling price is Rs. 225.
Discount price = 250 – 225 = Rs. 25
Discount percentage = $ \frac{\text{Discount}}{\text{Marked price}}\times 100=\frac{25}{250}\times 100=10\%$
Hence, the correct answer is $10$%.

22 Views

Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select ‘No substitution’.
Being a hot and busy day, I felt tired and decided to retire early.

Option 1: It was being a hot

Option 2: As it be a hot

Option 3: It being a hot

Option 4: No substitution

Team Careers360 17th Jan, 2024

Correct Answer: It being a hot


Solution : The third option is the correct answer.

The underlined segment being a hot is grammatically incorrect. The reason for the correct answer is that the phrase it being a hot introduces a subject (it) and a gerund (being) to form a grammatically

36 Views

if i scored less then 75 % in board what should i do for 75% in board should i take NIOS board ,but i want give jee mains and admission in nit /iiit

Satvik 18th Oct, 2024

Hi

hope you doing well

You can opt to reappear for your board exams to improve your percentage. This is the most straightforward way to ensure you meet the 75% criteria. but it will take more time.

second option is that, If you're considering switching to the NIOS board, this

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