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20 Views

Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 21st Jan, 2024

Correct Answer:


Solution : In the given figures, as we move from one box to another box –
1. The figure in the centre of each box, is rotating 90° in the anticlockwise direction.
2. The two circles are moving in an anticlockwise direction, shifting their positions in the corner.

24 Views

Question : Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9 : 10. What is the difference between their present ages in years?

Option 1: 3

Option 2: 2

Option 3: 4

Option 4: 6

Team Careers360 20th Jan, 2024

Correct Answer: 3


Solution : Let the present ages of A and B as $a$ and $b$ respectively.
From the problem,
Seven years ago, the ratio of the ages of A and B was 4 : 5.
$⇒\frac{a-7}{b-7} = \frac{4}{5}$
$⇒5a - 35 = 4b - 28$
$⇒5a - 4b

6 Views

Question : Select the most appropriate synonym of the bracketed word to fill in the blank.

All the __________ (delicate) things were kept/packed in a different box while shifting to a new place

Option 1: crude

Option 2: durable

Option 3: coarse

Option 4: fragile

Team Careers360 25th Jan, 2024

Correct Answer: fragile


Solution : The correct choice is the fourth option.

Delicate refers to something that is easily broken, fragile, or requires careful handling, and fragile means delicate, easily damaged, or vulnerable to breaking, making it the closest synonym among the options provided.

The meanings of the other

23 Views

Question : How much time will it take for an amount of Rs. 450 to yield Rs. 47.25 as interest at 3.5% per annum of simple interest?

Option 1: 1 year

Option 2: 2 years

Option 3: 3 years

Option 4: 4 years

Team Careers360 23rd Jan, 2024

Correct Answer: 3 years


Solution : Given: Principal = Rs. 450
Simple interest = Rs. 47.25
Rate = 3.5%
We know that,
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
⇒ $47.25 = \frac{\text{450 × 3.5 × Time}}{100}$
⇒ Time = $\frac{47.25\times100}{450\times3.5}$
⇒ Time = $\frac{4725}{1575}=3$ years
Hence, the correct

13 Views

Question : The essential feature of democracy is giving prominence to the

Option 1: Executive

Option 2: Judiciary

Option 3: Citizen

Option 4: Civil society

Team Careers360 22nd Jan, 2024

Correct Answer: Citizen


Solution : The correct option is a Citizen.

India's Constitution embraces a democratic system of governance, allowing the people to select their representatives. A democracy is a system in which the majority of members of a party, organisation, or group are in charge of that entity.

12 Views

Question : Directions: If θ denotes added to, δ denotes subtracted from, β denotes divided by, and α denotes multiplied by, then 5 β 1 δ 9 α 7 θ 142 = ?

Option 1: 114

Option 2: 98

Option 3: 84

Option 4: 125

Team Careers360 23rd Jan, 2024

Correct Answer: 84


Solution : Given:
5 β 1 δ 9 α 7 θ 142 = ?

Replacing the symbols with mathematical signs, we get –
= 5 ÷ 1 – 9 × 7 + 142 
= 5 – 9 × 7 + 142 
= 5 – 63 + 142 

18 Views

Question : If $a=\sqrt{6}+\sqrt{5},b=\sqrt{6}-\sqrt{5}$, then $2a^{2}-5\; ab+2b^{2} =?$

Option 1: 38

Option 2: 39

Option 3: 40

Option 4: 41

Team Careers360 20th Jan, 2024

Correct Answer: 39


Solution :
Given: $a=\sqrt{6}+\sqrt{5}$ and $b=\sqrt{6}-\sqrt{5}$
Then,
$a^{2} = (\sqrt{6}+\sqrt{5})^{2} = 6 + 2\sqrt{30} + 5 = 11 + 2\sqrt{30}$
$b^{2} = (\sqrt{6}-\sqrt{5})^{2} = 6 - 2\sqrt{30} + 5 = 11 - 2\sqrt{30}$
Now, the product of $a$ and $b$:
$ab = (\sqrt{6}+\sqrt{5})(\sqrt{6}-\sqrt{5}) = 6 - 5

21 Views

Question : The sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 90 cm. Find its area (in cm2).

Option 1: 150

Option 2: 270

Option 3: 30

Option 4: 60

Team Careers360 20th Jan, 2024

Correct Answer: 270


Solution : Let the sides of the triangle be $5x, 12x,$ and $13x$ (where $x$ is a positive constant)
The perimeter of the triangle is the sum of its sides:
⇒ $5x+12x+13x=90$ 
⇒ $30x = 90$
⇒ $x = \frac{90}{30}$ = 3
 first side = $5x$ =

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