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Question : ABCD is a cyclic quadrilateral in which AB = 15 cm, BC = 12 cm and CD = 10 cm. If AC bisects BD, then what is the measure of AD?

Option 1: 15 cm

Option 2: 13.5 cm

Option 3: 18 cm

Option 4: 20 cm

Team Careers360 22nd Jan, 2024

Correct Answer: 18 cm


Solution :
If ABCD is a cyclic quadrilateral in which AC bisects BD.
⇒ $\frac{\text{AD}}{\text{BC}}$ = $\frac{\text{AB}}{\text{DC}}$
⇒ $\frac{\text{AD}}{12}$ = $\frac{15}{10}$
⇒ AD = $\frac{3}{2}$ × 12 = 18 cm
Hence, the correct answer is 18 cm.

8 Views

Question : The Indian National Congress had its first meeting in the city of

Option 1: Calcutta

Option 2: Bombay

Option 3: Ahmedabad

Option 4: Allahabad

Team Careers360 22nd Jan, 2024

Correct Answer: Bombay


Solution : The correct option is - Bombay.

 

The Indian National Congress (INC) had its first meeting in the city of Bombay (now Mumbai) in 1885. This inaugural session of the INC marked the beginning of a significant political movement in India, which played a pivotal role

8 Views

Question : Directions: A % B means A is the sister of B,
A + B means A is the father of B,
A ! B means A is the brother of B.
If P ! H + Q % M + T % K ! J, then how is Q related to J?

Option 1: Sister-in-law

Option 2: Daughter-in-law

Option 3: Maternal aunt

Option 4: Paternal aunt

Team Careers360 22nd Jan, 2024

Correct Answer: Paternal aunt


Solution : Given:
A % B ⇒ A is the sister of B
A + B ⇒ A is the father of B
A ! B ⇒ A is the brother of B

As per the given information, the family tree will be as follows –

3 Views

Question : Directions: Select the related letter cluster from the given alternatives.
FJSP : DLQR :: GMIL : ?

Option 1: EOGN

Option 2: JNIO

Option 3: HOGN

Option 4: IONG

Team Careers360 22nd Jan, 2024

Correct Answer: EOGN


Solution : Given:
FJSP : DLQR :: GMIL : ?

Like, FJSP→F – 2 = D; J + 2 = L; S – 2 = Q; P + 2 = R
Thus, FJSP is related to DLQR.
Similarly, follow the same pattern for GMIL –
G –

12 Views

Question : Directions: In the following question, select the related number from the given alternatives.
42 : 20 :: 64 : ?

Option 1: 32

Option 2: 33

Option 3: 34

Option 4: 31

Team Careers360 22nd Jan, 2024

Correct Answer: 31


Solution : Given:
42 : 20 :: 64 : ?

Like, 42 : 20→(42 – 2) ÷ 2 = 40 ÷ 2 = 20
Similarly, for 64 : ?→(64 – 2) ÷ 2 = 62 ÷ 2 = 31 

So, 64 is related to 31. Hence, the 

94 Views

Question : Select the most appropriate one-word substitution of the given group of words.

Irreverent behaviour toward anything held sacred or concerning God.

Option 1: Agnosticism

Option 2: Pantheism

Option 3: Theism

Option 4: Blasphemy

Team Careers360 25th Jan, 2024

Correct Answer: Blasphemy


Solution : The correct choice is the fourth option.

Blasphemy is the act of showing disrespect or irreverence towards something considered sacred, divine, or religious. It involves actions or words that insult or profane religious beliefs, practices, or deities.

The meanings of the other options are as

38 Views

Question : Parts of the following sentence are given as options. Identify the part that contains a grammatical error. If there is no error, select "No Error".

That will truly / been a milestone to / celebrate.

Option 1: No Error

Option 2: celebrate.

Option 3: been a milestone to

Option 4: That will truly

Team Careers360 23rd Jan, 2024

Correct Answer: been a milestone to


Solution : The third option is correct.

Been is a past participle and doesn't fit here, as the rest of the sentence is in the future tense indicated by will.

Since the tense should be in the future; been should be replaced with

7 Views

Question : A tap is dripping at a constant rate into a container. The level L cm of the water in the container is given by the equation L = $2-2^t$, where t is the time taken in hours. What is the level of water in the container at the start?

Option 1: 0 cm

Option 2: 1 cm

Option 3: 2 cm

Option 4: 4 cm

Team Careers360 22nd Jan, 2024

Correct Answer: 1 cm


Solution : Given:
A tap is dripping at a constant rate into a container.
The level L cm of the water in the container is given by the equation, L = $2-2^t$
At the beginning, time will be zero, i.e., t = 0
L = $2-2^t$

14 Views

Question : Which of the following is an insulator?

Option 1: Mercury

Option 2: Carbon

Option 3: Germanium

Option 4: Glass

Team Careers360 25th Jan, 2024

Correct Answer: Glass


Solution : The correct option is Glass

Glass is a non-conductive substance, which means that electric current cannot easily pass through it. Glass is a good insulator because it has a very high electrical conductivity resistance.

13 Views

Question : A certain number of men can do a piece of work in 40 days. If there were 45 men more the work could have been finished in 25 days. Find the original number of men employed in the work.

Option 1: 70

Option 2: 85

Option 3: 65

Option 4: 75

Team Careers360 23rd Jan, 2024

Correct Answer: 75


Solution : Let the total number of men be $x$.
The work is the same. So, $W_1=W_2=1$
Use the following formula to solve the question:
$\frac{M_{1}\times D_{1}}{W_{1}}=\frac{M_{2}\times D_{2}}{W_{2}}$
Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$ are work done.
$\frac{x×40}{1}

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