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8 Views

Question : D is a point on the side BC of a $\triangle $ABC such that $\angle A D C=\angle B A C$. If CA = 10 cm and BC=16 cm, then the length of CD is:

Option 1: 6.5 cm

Option 2: 6.25 cm

Option 3: 7 cm

Option 4: 6 cm

Team Careers360 21st Jan, 2024

Correct Answer: 6.25 cm


Solution :
In this case, we can use the property of similar triangles to find the length of CD. 
Given that $\angle ADC = \angle BAC$, $\triangle ADC$ is similar to $\triangle BAC$ by the AAA similarity criterion. 
This implies that the ratios of the corresponding

38 Views

Question : A container contains a 20 L mixture in which there is 10% sulphuric acid. Find the quantity of sulphuric acid to be added to it to make the solution contain 25% sulphuric acid.

Option 1: 2 L

Option 2: 3 L

Option 3: 4 L

Option 4: 5 L

Team Careers360 24th Jan, 2024

Correct Answer: 4 L


Solution : Initially, the quantity of sulphuric acid in the mixture is 10% of 20 L, which is 2 L.
Let the quantity of sulphuric acid be added as $x$ L.
After adding $x$ L of sulphuric acid, the total volume of the mixture becomes $(20

22 Views

Question : Simplify the given expression. $\frac{(80 \times 80 \times 80)+(70 \times 70 \times 70)+(50 \times 50 \times 50)-840000}{6400+4900+2500-5600-3500-4000}$

Option 1: 100

Option 2: 200

Option 3: 400

Option 4: 300

Team Careers360 21st Jan, 2024

Correct Answer: 200


Solution : $\frac{(80 \times 80 \times 80)+(70 \times 70 \times 70)+(50 \times 50 \times 50)-840000}{6400+4900+2500-5600-3500-4000}$
$=\frac{(512000)+(343000)+(125000)-840000}{13800-13100}$
$=\frac{140000}{700}$
$=200$
Hence, the correct answer is 200.

10 Views

Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster.
AP : CN : RT : ?

Option 1: RT

Option 2: TS

Option 3: TR

Option 4: SR

Team Careers360 18th Jan, 2024

Correct Answer: TR


Solution : Given:
AP : CN :: RT : ?

Add and subtract 2 alternatively from the place value of the letters, to get the required missing term –
Like, AP : CN→A + 2 = C; P – 2 = N
Thus, AP is coded as

20 Views

Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select ‘No improvement required’.

Which films have you seen when you were in Meerut?

Option 1: were you seeing

Option 2: did you see

Option 3: do you see

Option 4: No improvement required

Team Careers360 10th Jan, 2024

Correct Answer: did you see


Solution : The second option is the correct choice.

The phrase "when you were in Meerut" proves that the sentence is in the past, completely in the past indefinite tense. In the past indefinite tense (interrogative), we generally use "did" with the base form of

49 Views

Question : Who became the Nawab of Bengal after the death of Alivardi Khan in 1756?

Option 1: Sujan Khan

Option 2: Murshid Quli Khan

Option 3: Siraj ud-Daulah

Option 4: Mir Jafar

Team Careers360 25th Jan, 2024

Correct Answer: Siraj ud-Daulah


Solution : The correct answer is Siraj ud-Daulah

After Alivardi Khan passed away in 1756, Siraj ud-Daulah assumed the role of Nawab of Bengal. He was Bengal's last independent Nawab. Bengal's first Nawab was Murshid Quli Khan. The first Nawab of Bengal to be influenced by

30 Views

Question : Select the most appropriate word for the given group of words.

People who belong to the same country.

Option 1: Natives

Option 2: Soldiers

Option 3: Folks

Option 4: Communists

Team Careers360 22nd Jan, 2024

Correct Answer: Natives


Solution : The correct choice is the first option.

Explanation:

Natives refer to individuals who are born in or belong to a particular place or country. It signifies people who are inherently tied to a specific region or country due to birth or long-term residency.

The meanings

23 Views

Question : A certain sum (in INR) is invested at simple interest at y% per annum for $3 \frac{1}{2}$ years. Had it been invested at (y + 4)% per annum at simple interest, it would have fetched INR 4,452 more as interest. What is the sum?

Option 1: INR 42,400

Option 2: INR 31,800

Option 3: INR 30,400

Option 4: INR 42,800

Team Careers360 14th Jan, 2024

Correct Answer: INR 31,800


Solution : Given:
Time, $t\ = 3\tfrac{1}{2}$ years
Original rate = $y\%$
New rate = $y\ +\ 4\%$
Let the principal be INR $x$.
According to the question,
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
$\Rightarrow \frac{x\ \times (y\ +\ 4\ -\ y)\times 7}{100\ \times

15 Views

Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct

He held the railing as he walked downed the stairs.

Option 1: No improvement

Option 2: walk down

Option 3: walked downs

Option 4: walked down

Team Careers360 25th Jan, 2024

Correct Answer: walked down


Solution : The correct choice is the fourth option.

Walked downed is not grammatically accurate, as walked already implies the action happening in the past, and downed is not the correct verb form. To imply the action of walking down in the past, walked down 

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