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Question : When P is subtracted from each of the numbers 8, 6, 2 and 9, the numbers so obtained in this order are in proportion. What is the mean proportional between (3P - 6) and (9P - 4)?

Option 1: 26

Option 2: 28

Option 3: 29

Option 4: 24

Team Careers360 25th Jan, 2024

Correct Answer: 28


Solution : According to the question,
$(8-P)(9-P)=(6-P)(2-P)$
$⇒72+P^2-17P=12+P^2-8P$
$⇒9P=60$
$⇒P=\frac{20}{3}$
Mean proportion between $(3P - 6)$ and $(9P - 4)$
= $\sqrt{(3P - 6)(9P - 4)}$
= $\sqrt{(3×\frac{20}{3} - 6)(9×\frac{20}{3} - 4)}$
= $\sqrt{14×56}$
= $28$
Hence, the correct answer is 28.

17 Views

Question : $\triangle$ABC is similar to $\triangle$PQR. If the ratio of the perimeter of $\triangle$ABC and the perimeter of $\triangle$PQR is 24 : 16 and PQ = 4.8 cm, then the length (in cm) of AB is:

Option 1: 8.6

Option 2: 7.2

Option 3: 4.6

Option 4: 2.8

Team Careers360 22nd Jan, 2024

Correct Answer: 7.2


Solution :

Given: $\triangle$ABC is similar to $\triangle$PQR.
The ratio of the perimeter of $\triangle$ABC and the perimeter of $\triangle$PQR is 24 : 16 and PQ = 4.8 cm.
Since, $\triangle$ABC is similar to $\triangle$PQR,
We know,
The ratio of similar sides of the two similar triangles

18 Views

Question : Directions: In the following question, select the related number from the given alternatives.
534 : 2 :: ? : ?

Option 1: 102 : 9

Option 2: 553 : 6

Option 3: 884 : 2

Option 4: 999 : 2

Team Careers360 23rd Jan, 2024

Correct Answer: 999 : 2


Solution : Given:
534 : 2 :: ? : ?

Here, 534 : 2→(5 + 3) ÷ 4 = 8 ÷ 4 = 2
Let's check the options –
First option: 102 : 9→(1 + 0) ÷ 2 = 1 ÷ 2 = 0.5 ≠

8 Views

Question : Direction: Which of the following diagrams represents the correct relationship with the class Teacher, Girls and Boys of Std. VIII?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : Given:

Teacher, Girls, and Boys 

Here, the teacher is different from boys and girls.

Similarly, boys are different from girls.

Therefore, there is no direct relationship between them, so the circles will not intersect with each other.

So, the second option represents the best relationship between

18 Views

Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
Z_WVUSR_ _NMLKI_GF_CB

Option 1: YQOHD

Option 2: XQPHD

Option 3: XQOHD

Option 4: YQPHD

Team Careers360 23rd Jan, 2024

Correct Answer: XQPHD


Solution : Given:
Z_WVUSR_ _NMLKI_GF_CB

To fill the series we have to divide the series – Z / _WVU / SR_ _ / NMLK / I_GF / _CB
Let's check each option –
First option: 
YQOHD; Z / YWVU / SRQO / NMLK /

20 Views

Question : Select the most appropriate meaning of the given idiom.

Rust bucket

Option 1: To be absent minded

Option 2: An old man

Option 3: A vehicle that is old or almost broken

Option 4: To be late for everything

Team Careers360 23rd Jan, 2024

Correct Answer: A vehicle that is old or almost broken


Solution : The correct choice is the third option.

Explanation:

Rust bucket is an informal idiom used to describe a vehicle, typically a car, that is in very poor condition due to age or lack of maintenance. It suggests that

4 Views

Question : The Fugitive Economic Offenders Act, 2018, which came into force on the 21st of April 2018, extends to:

Option 1: Whole of India

Option 2: Only Gujarat

Option 3: Only Maharashtra

Option 4: Only Union territories

Team Careers360 23rd Jan, 2024

Correct Answer: Whole of India


Solution : The correct answer is the Whole of India.

The Fugitive Economic Offenders Act of 2018 is an Indian law that came into force on April 21, 2018. The Act extends to the whole of India. It applies to any individual declared a

16 Views

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

When I reached the marketplace, the coconuts was already sold.

Option 1: are already sold

Option 2: have already sell

Option 3: is already sold

Option 4: were already sold

Team Careers360 24th Jan, 2024

Correct Answer: were already sold


Solution : The most appropriate option to substitute the underlined words is the fourth option.

The subject "coconuts" is plural, so the verb should also be plural, which is "were". "Were" is the correct past tense form to be used with a plural subject to

10 Views

Question : Directions: Select the related letter cluster from the given alternatives.
ABDE : FGIJ :: IJLM : ?

Option 1: NMOP

Option 2: NOPQ

Option 3: NOQR

Option 4: NPQR

Team Careers360 22nd Jan, 2024

Correct Answer: NOQR


Solution : Given:
ABDE : FGIJ :: IJLM : ?

Add 5 to the place value of each letter of ABDE to obtain the required code –
A + 5 = F; B + 5 = G; D + 5 = I; E + 5 = J

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