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18 Views

Question : Directions: If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$

Option 1: 12

Option 2: 22

Option 3: 21

Option 4: 24

Team Careers360 25th Jan, 2024

Correct Answer: 21


Solution : Given:
If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$

The position values of A, F, and I are 1, 6, and 9 respectively.
On combining the place values, we get 169.
Now, $\sqrt{169}\ =\ 13$
Thus, $\sqrt{AFI}$ is coded as 13.
Similarly, follow the same

12 Views

Question : Directions: Shown below is a multiple bar diagram depicting the changes in the roll strength of a college in four faculties from 2001–02 to 2003–04.Study the above bar diagram and answer the question.

Arts

Science

Law

Commerce

The percentage of students in law faculty in 2003-04 is:

Option 1: 14.8%

Option 2: 18.5%

Option 3: 15.6%

Option 4: 16.7%

Team Careers360 25th Jan, 2024

Correct Answer: 15.6%


Solution : $\text{We have}$

$\text{Number of students in Law in 2003 - 04 = 250}$

$\text{Total Number students in 2003-04 = 1600 (by adding all students in 2003-04)}$

$\text{Percentage Change =}\frac{\text{Number of students in Law in 2003 - 04 }}{\text{Total Number of students in 2003-04}}\times100$

$\text{Percentage Change

27 Views

Question : Directions: Pranav went 10 kilometres to the north. Then he turned West and covered 10 kilometres. Then he turned south and covered 5 kilometres. Finally, he turned to the east and covered 10 kilometres. In which direction is he from the starting point?

Option 1: South

Option 2: North

Option 3: East

Option 4: West

Team Careers360 25th Jan, 2024

Correct Answer: North


Solution : Firstly, we will draw the diagram as per the given instructions –


Here, A is the starting point and D is the end point of Pranav.

So, Pranav is in the north direction from the starting point. Hence, the second option is correct.

15 Views

Question : If the distance between the centres of two circles is 12 cm and the radii are 5 cm and 4 cm, then the length (in cm) of the transverse common tangent is:

Option 1: $9$

Option 2: $\sqrt{143}$

Option 3: $\sqrt{63}$

Option 4: $7$

Team Careers360 25th Jan, 2024

Correct Answer: $\sqrt{63}$


Solution : Given, the distance between the centres of two circles is 12 cm ($d$) and the radii are 5 cm ($r_1$) and 4 cm ($r_2$).
Length of the transverse common tangent line to the circle
= $\sqrt{d^2-(r_1+r_2)^2}$
= $\sqrt{12^2-(5+4)^2}$
= $\sqrt{144-81}$
​​​​​​= $\sqrt{63}\ \text{cm}$
Hence, the

5 Views

Question : Sixteen years ago, my grandfather was 9 times older than me. Eight years from now, he will be 3 times my age. Determine the ratio of my age to my grandfather's age eight years ago.

Option 1: 3 : 8

Option 2: 2 : 5

Option 3: 1 : 2

Option 4: 1 : 5

Team Careers360 25th Jan, 2024

Correct Answer: 1 : 5


Solution : 16 years ago, let my age and my grandfather's age be $x$ years and $9x$ years respectively.
According to the question,
$9x+16+8=3(x+16+8)$
⇒ $9x+24=3x+48+24$
⇒ $6x=48$
⇒ $x=8$
Required ratio 8 years ago,
= $(x+8):(9x+8)$
= (8 + 8) : (9 × 8

42 Views

Question : When a body is immersed in a liquid, the force acting on it is:

Option 1: Upthrust

Option 2: Weight

Option 3: Mass

Option 4: Both 1 and 2

Team Careers360 25th Jan, 2024

Correct Answer: Both 1 and 2


Solution : The correct option is Both 1 and 2.

When a body is immersed in a liquid, it is subjected to two major forces. The first is the weight of the body, which pulls it downward owing to gravity. Upthrust (buoyant force)

11 Views

Question : Rukmini Devi Arundale is the exponent of which of the following Indian classical dance forms?

Option 1: Bharatanatyam

Option 2: Manipuri

Option 3: Sattriya

Option 4: Odissi

Team Careers360 25th Jan, 2024

Correct Answer: Bharatanatyam


Solution : The correct option is Bharatanatyam.

Rukmini Devi Arundale was a prominent figure in the world of Indian classical dance, particularly Bharatanatyam. She established Kalakshetra, an important cultural institution in Chennai, in 1936. While preserving the classical elements, she also introduced innovations in terms of costume,

158 Views

Question : The LCM and ratio of the three numbers are 1386 and 3 : 7 : 11, respectively. The sum of the greatest and least numbers is:

Option 1: 60

Option 2: 64

Option 3: 84

Option 4: 108

Team Careers360 25th Jan, 2024

Correct Answer: 84


Solution : The LCM and ratio of the three numbers = 1386
Let the numbers be $3x, 7x,$ and $11x$.
According to the question:
$(3\times7\times11)x=1386$
⇒ $231x=1386$
$\therefore x=6$
Thus, Least number $= 3x=3\times6=18$
Greatest number $=11x=11\times6=66$
$\therefore$ Sum $=18+66=84$
Hence, the correct answer is 84.

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