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Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.

He is a weak student and somehow pulled over the exams.

Option 1: pulled through

Option 2: pulled down

Option 3: pulled up

Option 4: pulled together

Team Careers360 21st Jan, 2024

Correct Answer: pulled through


Solution : The correct choice is the second option.

The phrase pulled through is used to express successfully overcoming a difficult situation, which fits the context of exams. It conveys the idea that, despite being a weak student, the person managed to succeed or pass the

15 Views

Question : If $x=a\cos\theta + b\sin\theta$ and $y=b\cos\theta-a\sin\theta$, then $x^{2}+y^{2}$ is equal to:

Option 1: $ab$

Option 2: $a^2+b^2$

Option 3: $a^2-b^2$

Option 4: $1$

Team Careers360 19th Jan, 2024

Correct Answer: $a^2+b^2$


Solution : Given: $x=a\cos\theta + b\sin\theta$ and $y=b\cos\theta-a\sin\theta$
To find: $x^{2}+y^{2}$
Putting the value of $x$ and $y$, we get
$(a\cos\theta+b\sin\theta)^{2}+(b\cos\theta-a\sin\theta)^{2}$
 $(a^2\cos^2\theta+b^2\sin^2\theta+2×a\cos\theta×b\sin\theta)+(b^2\cos^2\theta+a^2\sin^2\theta-2×b\cos\theta×a\sin\theta)$
$=a^2\cos^2\theta + b^2\sin^2\theta+b^2\cos^2\theta+a^2\sin^2\theta$
$=a^2(\cos^2\theta+sin^2\theta)+b^2(sin^2\theta+\cos^2\theta)$
We know that, $(sin^2\theta+\cos^2\theta)=1$
Thus, $a^2(1)+b^2(1)$= $a^2+b^2$
Hence, the correct answer is $a^2+b^2$.

238 Views

Question : Directions: Which number will replace the question mark (?) in the given series?
61, 73, 99, 141, 201, (?)

Option 1: 281

Option 2: 261

Option 3: 269

Option 4: 244

Team Careers360 25th Jan, 2024

Correct Answer: 281


Solution : Given:
61, 73, 99, 141, 201, (?)

The pattern is as follows –

So, the required number in the series is 281. Hence, the first option is correct.

20 Views

Question : Directions: Which of the following letters will replace the question mark (?) and complete the following letter series?
Q, O, M, K, I, G, ?

Option 1: D

Option 2: F

Option 3: G

Option 4: E

Team Careers360 20th Jan, 2024

Correct Answer: E


Solution : Given:
Q, O, M, K, I, G, ?

Subtract 2 to the place value of each letter to get the next letter of the series.
Q – 2 = O; O – 2 = M; M – 2 = K; K – 2 = I;

4 Views

Question : Select the option that corrects the misspelt words in the given sentence.
A number of measres have been sugested by her.

Option 1: A number of measrues have been sugessted by her.

Option 2: A number of measures have been sujjested by her.

Option 3: A number of measures have been suggested by her.

Option 4: A number of mesures have been suggested by her.

Team Careers360 21st Jan, 2024

Correct Answer: A number of measures have been suggested by her.


Solution : The right choice is the third option.

In the given sentence, there are two misspelt words. These words, with their correct spelling and meanings, are as follows:

  • "Measres" should be corrected to "measures" which means to
43 Views

Question : Who among the following was the disciple of Ramakrishna Paramahansa?

Option 1: Swami Dayanand

Option 2: Swami Sahajananada

Option 3: Swami Vivekananda

Option 4: Swami Shraddhanand

Team Careers360 21st Jan, 2024

Correct Answer: Swami Vivekananda


Solution : The correct answer is Swami Vivekananda.

The 19th-century saint Ramakrishna Paramahamsa is recognised as the spiritual founder of the Ramakrishna Movement and the Ramakrishna Order of Monks. His most famous pupil was Swami Vivekananda. He taught that the unity of God and the

25 Views

Question : A man has three sons, two daughters and a wife. They divided a sum of Rs. 19000 among themselves such that each daughter got 1.5 times the amount received by each son and his wife received Rs. 600 less than each son. What is the total amount (in Rs.) received by the three sons together?

Option 1: 2800

Option 2: 3600

Option 3: 5600

Option 4: 8400

Team Careers360 23rd Jan, 2024

Correct Answer: 8400


Solution : Let the amount received by each son be Rs. $x$.
The amount received by each daughter = 1.5$x$
The amount received by wife = $x$ – 600
Total amount = Rs. 19000
According to the question,
$3x + 2(1.5x) + x- 600 = 19000$
⇒$

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