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Question : Directions: What will come in the place of the question mark (?) in the following equation, if + and ÷ are interchanged and × and – are interchanged?
5 – 9 × 8 ÷ 12 + 4 = ?

Option 1: 12

Option 2: 27

Option 3: 40

Option 4: 23

Team Careers360 21st Jan, 2024

Correct Answer: 40


Solution : Given:
5 – 9 × 8 ÷ 12 + 4 = ?

After interchanging + and ÷, and × and –, the equation will be as follows –
= 5 × 9 – 8 + 12 ÷ 4
= 5 × 9 – 8 +

11 Views

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".

Books fair (1) / encourage (2) / reading habit. (3) / No error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 21st Jan, 2024

Correct Answer: (1)


Solution : The error lies in the first part of the sentence.

Books fair is the incorrect usage. When talking about multiple fairs, we use book fairs as we pluralise the main noun in the case of compound words. This makes the sentence grammatically accurate and

8 Views

Question : Directions: Select the correct mirror image from the following options, when the mirror is placed on the right side of the given figure.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear

11 Views

Question : What is the value of $\left(k-\frac{1}{k}\right)\left(k^2+\frac{1}{k^2}\right)\left(k^4+\frac{1}{k^4}\right)\left(k^8+\frac{1}{k^8}\right)\left(k^{16}+\frac{1}{k^{16}}\right) ?$

Option 1: $k^{64}-\frac{1}{k^{64}}$

Option 2: $\frac{k^{32}-\frac{1}{k^{32}}}{k-\frac{1}{k}}$

Option 3: $k^{32}-\frac{1}{k^{32}}$

Option 4: $\frac{k^{32}-\frac{1}{k^{32}}}{k+\frac{1}{k}}$

Team Careers360 20th Jan, 2024

Correct Answer: $\frac{k^{32}-\frac{1}{k^{32}}}{k+\frac{1}{k}}$


Solution : Consider, $\left(k-\frac{1}{k}\right)\left(k^2+\frac{1}{k^2}\right)\left(k^4+\frac{1}{k^4}\right)\left(k^8+\frac{1}{k^8}\right)\left(k^{16}+\frac{1}{k^{16}}\right)$
Multiplying and dividing by $(k+\frac{1}{k})$
⇒ $\left(k-\frac{1}{k}\right)\left(k^2+\frac{1}{k^2}\right)\left(k^4+\frac{1}{k^4}\right)\left(k^8+\frac{1}{k^8}\right)\left(k^{16}+\frac{1}{k^{16}}\right)=\frac{(k-\frac{1}{k})(k+\frac{1}{k})(k^2+\frac{1}{k^2})(k^4+\frac{1}{k^4})(k^8+\frac{1}{k^8})(k^{16}+\frac{1}{k^{16}})}{k+\frac{1}{k}}$
Now using, $(a+b)(a-b)=a^2 - b^2$
⇒ $\left(k-\frac{1}{k}\right)\left(k^2+\frac{1}{k^2}\right)\left(k^4+\frac{1}{k^4}\right)\left(k^8+\frac{1}{k^8}\right)\left(k^{16}+\frac{1}{k^{16}}\right)=\frac{(k^2-\frac{1}{k^2})(k^2+\frac{1}{k^2})(k^4+\frac{1}{k^4})(k^8+\frac{1}{k^8})(k^{16}+\frac{1}{k^{16}})}{k+\frac{1}{k}}$
$=\frac{(k^4-\frac{1}{k^4})(k^4+\frac{1}{k^4})(k^8+\frac{1}{k^8})(k^{16}+\frac{1}{k^{16}})}{k+\frac{1}{k}}$
$=\frac{(k^8-\frac{1}{k^8})(k^8+\frac{1}{k^8})(k^{16} + \frac{1}{k^{16}})}{k+\frac{1}{k}}$
$=\frac{(k^{16} - \frac{1}{k^{16}})(k^{16} + \frac{1}{k^{16}})}{k+\frac{1}{k}}$
$=\frac{k^{32} - \frac{1}{k^{32}}}{k+\frac{1}{k}}$
Hence, the correct answer is $\frac{k^{32} - \frac{1}{k^{32}}}{k+\frac{1}{k}}$.

16 Views

Question : Directions: In the given 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.

She deserved the accolades as she ___ for it.

Option 1: hardly worked

Option 2: had hard worked

Option 3: was working hard

Option 4: had worked hard

Team Careers360 25th Jan, 2024

Correct Answer: had worked hard


Solution : The correct choice is the fourth option. 

"Had worked hard" should be used to fill in the blank since it uses the past perfect tense, which is appropriate for describing an action that was completed before another past action. In this sentence, the

4 Views

Question : Directions: In the following question, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

K H E
B Y V
S ? M

Option 1: R

Option 2: P

Option 3: O

Option 4: L

Team Careers360 18th Jan, 2024

Correct Answer: P


Solution : Subtract 3 from the place value of the letters of each row to obtain the next letter.
Row I: K – 3 = H; H – 3 = E
Row II: B – 3 = Y; Y – 3 = V
Row III: S –

12 Views

Question : Directions: In the following question, select the related number from the given alternatives.
5 : 124 :: 7 : ?

Option 1: 125

Option 2: 248

Option 3: 342

Option 4: 343

Team Careers360 25th Jan, 2024

Correct Answer: 342


Solution : Given:
5 : 124 :: 7 : ?

Like, (5)3 – 1 = 125 – 1 = 124
Similarly, (7)3 – 1 = 343 – 1 = 342

342 is related to 7. Hence, the third option is correct.

19 Views

Question : Direction: In the question, sentence are given with 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.

Pour the juice _____the glass.

Option 1: in

Option 2: into

Option 3: onto

Option 4: on

Team Careers360 18th Jan, 2024

Correct Answer: into


Solution : The correct choice is the second option.

"Into" is the correct preposition to use in this context because it accurately conveys the action of pouring juice from one container into the glass.

So, the sentence would be: "Pour the juice into the glass."

15 Views

Question : Directions: If P means +, Q means –, R means ÷, and S means ×, then which of the following equations is correct?

Option 1: 14 R 7 S 6 P 4 Q 3 = 11

Option 2: 9 S 8 P 6 R 4 S 8 = 80

Option 3: 3 S 6 P 2 Q 3 R 6 = 17.5

Option 4: 11 R 12 S 48 P 10 Q 6 = 48

Team Careers360 23rd Jan, 2024

Correct Answer: 11 R 12 S 48 P 10 Q 6 = 48


Solution : Given:
P means +, Q means –, R means ÷, and S means ×

Let's check the options –
First option: 14 R 7 S 6 P 4 Q 3 = 11
On replacing the

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