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14 Views

Question : Two circles with centres A and B touch each other externally, PQ is a direct common tangent which touches the circle at P and Q. If the radii of the circles are 9 cm and 4 cm, respectively, then the length of PQ (in cm) is equal to:

Option 1: 5

Option 2: 13

Option 3: 6.5

Option 4: 12

Team Careers360 26th Jan, 2024

Correct Answer: 12


Solution :
Let $r{_1}$​ and $r{_2}$​ be the radii of the two circles, and let $d$ be the distance between their centres.
In this case:
$d=r{_1}​+r{_2}$​
Given that the radii are 18 cm and 8 cm, we have:
$d=9+4=13\ \mathrm{cm}$
Now, the direct common tangent is the

14 Views

Question : From which country's constitution no feature has been taken in the constitution of India?

Option 1: United States of America

Option 2: Britain

Option 3: China

Option 4: France

Team Careers360 27th Jan, 2024

Correct Answer: China


Solution : The correct answer is China.

No feature has been taken from China in the Indian Constitution. The spirit and content of the Indian Constitution are distinct. It did, however, inherit many of the best elements from past international constitutions. India's constitution stands out from that

7 Views

Question : Directions: In the following question, select the related number from the given alternatives.
64 : 100 :: 49 : ?

Option 1: 36

Option 2: 63

Option 3: 81

Option 4: 144

Team Careers360 27th Jan, 2024

Correct Answer: 81


Solution : Given:
64 : 100 :: 49 : ?

The difference between the square root of the numbers of the given pairs is 2.
Like, 64 : 100→82 = 64; 102 = 100
Similarly, for 49 : ?→72 = 49; 92 =

14 Views

Question : If ${A}=3+7 \times 2, {~B}=12 \div 4-6$, and ${C}=6 \times 5+2$, then what is the value of ${A} \times {B}+{C}$ ?

Option 1: –22

Option 2: –19

Option 3: –25

Option 4: –26

Team Careers360 27th Jan, 2024

Correct Answer: –19


Solution : Given:
A = 3 + 7 × 2
B = 12 ÷ 4 – 6
C = 6 × 5 + 2
So,  A × B + C
= (3 + 7 × 2) × (12 ÷ 4 – 6) + (6 × 5 +

59 Views

Question : Which of the following religious communities in India primarily celebrates the festival of Khordad Sal?

Option 1: Christian

Option 2: Parsi

Option 3: Muslim

Option 4: Sikh

Team Careers360 26th Jan, 2024

Correct Answer: Parsi


Solution : The correct answer is Parsi.

The day or occasion of Zarathushtra's birth is known as Khordad Sal. The Parsis of India, in particular, commemorate the day with great celebrations, as do Zoroastrians throughout. There are gatherings and ghambars. Additionally, during the day, special prayers

61 Views

Question : Identify the word in the given sentence that is the ANTONYM of the word 'frugal'.

At present, people are paying extravagant prices for houses because they have to have accommodation.

Option 1: Prices

Option 2: Accommodation

Option 3: Present

Option 4: Extravagant

Team Careers360 26th Jan, 2024

Correct Answer: Extravagant


Solution : The correct choice is the fourth option.

Extravagant means excessive or lacking restraint, making it an antonym for "frugal". In the context of the sentence, it describes the high prices people are willing to pay for houses.

The meanings of the other options are

21 Views

Question : Directions: Looking at the family picture, Rajan said, "She is my wife's son's father's mother's husband's daughter". How is the girl in the photo related to Rajan?

Option 1: Sister

Option 2: Mother-in-law

Option 3: Wife's Sister

Option 4: Daughter-in-law

Team Careers360 26th Jan, 2024

Correct Answer: Sister


Solution : According to the given information, the family tree will be –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, it is clear that the girl is the sister of Rajan. Hence,

9 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.
$\frac{W}{S}, \frac{U}{O}, \frac{S}{K}, \frac{Q}{G}$

Option 1: P/R

Option 2: C/O

Option 3: R/J

Option 4: O/C

Team Careers360 26th Jan, 2024

Correct Answer: O/C


Solution : Given:
$\frac{W}{S}, \frac{U}{O}, \frac{S}{K}, \frac{Q}{G}$

Here, each term has two parts nominator and denominator. In the given series subtract 2 from the nominator and subtract 4 from the denominator to get the missing term.
W – 2 = U, U – 2 = S, S

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