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14 Views

Question : Directions: In a certain code language, BLAMED is written as DOEGHP. How is POLARY written in that code language?

Option 1: QPMBSZ

Option 2: ORSBUD

Option 3: DBVSRO

Option 4: KNOCQZ

Team Careers360 24th Jan, 2024

Correct Answer: ORSBUD


Solution : Given:
BLAMED is written as DOEGHP.

Consider the first three letters of BLAMED (BLA) as a single part and the next three letters (MED) as a single part.
Now, reverse the order of the letters of each part individually – BLA→ALB; MED→DEM
Add 3 to

17 Views

Question : ABCD is a cyclic quadrilateral. The tangents to the circle at the points A and C on it, intersect at P. If $\angle\mathrm{ABC}=98^{\circ}$, then what is the measure of $\angle \mathrm{APC}$ ?

Option 1: 22°

Option 2: 26°

Option 3: 16°

Option 4: 14°

Team Careers360 25th Jan, 2024

Correct Answer: 16°


Solution :
$\angle$ABC = 98º
$\angle$ABC + $\angle$CDA = 180º (Property of cyclic quadrilateral)
⇒ $\angle$CDA = 180º – 98º = 82º
So, $\angle$AOC = 2 × $\angle$ADC (the angle at the centre is double that on the circumference by the same arc)
= 2 × 82º

14 Views

Question : The value of $\sqrt{3\sqrt{3\sqrt{3......}}}$ is equal to:

Option 1: $\sqrt{3}$

Option 2: $3$

Option 3: $2\sqrt{3}$

Option 4: $3\sqrt{3}$

Team Careers360 24th Jan, 2024

Correct Answer: $3$


Solution : Given: $\sqrt{3\sqrt{3\sqrt{3......}}}$
Let $x = \sqrt{3\sqrt{3\sqrt{3......}}}$
$ ⇒ x = \sqrt{3x}$
By squaring both sides, we get:
$ ⇒ x^{2} = 3x$
$ ⇒ x = 3$
Hence, the correct answer is $3$.

5 Views

Question : Select the most appropriate option to fill in the blank.
Please don’t ______ anyone that I came to your birthday party.

Option 1: told

Option 2: said

Option 3: tell

Option 4: say

Team Careers360 25th Jan, 2024

Correct Answer: tell


Solution : The correct choice is the third option.

Explanation: The verb tell is the correct choice in this context because it is used for reporting or informing someone about something. In the sentence, you are asking someone not to inform or share with anyone

11 Views

Question : Directions: Which answer figure shall complete the given question figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the third option is correct.

31 Views

Question : A is 20% more efficient than B. If B alone can complete a piece of work in 12 days, then A alone can complete the same work in how many days?

Option 1: 10

Option 2: 12

Option 3: 14

Option 4: 16

Team Careers360 24th Jan, 2024

Correct Answer: 10


Solution : Let B be 100% efficient.
Then A will be 120% efficient.
Now, 100% efficient can do work in 12 days,
1% efficient will do work in $12 \times 100$ days.
$\therefore$ 120% efficient can do work in $\frac{12 \times 100}{120}$ = 10 days
Hence, the

25 Views

Question : Directions: Arrange the given words in the sequence in which they occur in a dictionary.
1. Ratio
2. Raise
3. Rapid
4. Robin
5. Royal

Option 1: 2, 3, 1, 4, 5

Option 2: 3, 2, 5, 4, 1

Option 3: 2, 1, 4, 3, 5

Option 4: 2, 5, 4, 3, 1

Team Careers360 24th Jan, 2024

Correct Answer: 2, 3, 1, 4, 5


Solution : Given:
1. Ratio   2. Raise   3. Rapid   4. Robin   5. Royal

Step 1: Compare the first letter of each word. Since all the words start with the same letter R, move on to the next letter.
Step 2: The second

37 Views

Question : If $x^2-11x+1=0$, what is the value of $x^8-14159x^4+11$?

Option 1: 9

Option 2: 10

Option 3: 12

Option 4: 11

Team Careers360 25th Jan, 2024

Correct Answer: 10


Solution : Given:
$x^2-11x+1=0$
Divide both sides by $x$, we get
$x-11+\frac{1}{x}=0$
⇒ $x+\frac{1}{x}=11$
Squaring both sides we get
⇒ $x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=11^2$
⇒ $x^2+\frac{1}{x^2}=121-2$
⇒ $x^2+\frac{1}{x^2}=119$
Again squaring both sides we get,
⇒ $x^4+\frac{1}{x^4}+2×x^2×\frac{1}{x^2}=119^2$
⇒ $x^4+\frac{1}{x^4}=14161-2$
⇒ $x^4+\frac{1}{x^4}-14159=0$
Multiplying with $x^4$ we get
⇒ $x^8-14159x^4+1=0$
$\therefore x^8-14159x^4+11=10$
Hence,

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