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14 Views

Question : Directions: Three positions of a cube are shown below:

What will come on the two faces marked 1 and 2?

Option 1: θ and δ

Option 2: α and β

Option 3: θ and β

Option 4: θ and γ

Team Careers360 25th Jan, 2024

Correct Answer: α and β


Solution : Taking dice positions 1 and 3 with α as the common face. So, on moving in the clockwise direction from α, the following opposite pairs of faces will be formed –

As per the properties of the dice, the opposite faces of a

10 Views

Question : If $x^2-\frac{1}{x^2}=4 \sqrt{2}$, what is the value of $x^4-\frac{1}{x^4}?$

Option 1: $16 \sqrt{2}$

Option 2: $8\sqrt{2}$

Option 3: $24 \sqrt{2}$

Option 4: $32 \sqrt{2}$

Team Careers360 23rd Jan, 2024

Correct Answer: $24 \sqrt{2}$


Solution : $x^2-\frac{1}{x^2}=4 \sqrt{2}$
Squaring both sides, we get
$x^4+\frac{1}{x^4}-2=32$
⇒ $x^4+\frac{1}{x^4}=34$
Adding 2 on both sides, we get
$x^4+\frac{1}{x^4}+2=36$
⇒ ($x^2+\frac{1}{x^2})^2 =6^2$
⇒ $x^2+\frac{1}{x^2}=6$
Now,
$x^4-\frac{1}{x^4} = (x^2-\frac{1}{x^2} )(x^2+\frac{1}{x^2})$
$= 4 \sqrt{2}\times 6 =24\sqrt{2}$
Hence, the correct answer is $24\sqrt{2}$.

34 Views

Question : Directions: In a certain code language, PIN is coded as 9, and CHARGER is coded as 49. How will CABLE be coded in the same language?

Option 1: 27

Option 2: 25

Option 3: 18

Option 4: 36

Team Careers360 23rd Jan, 2024

Correct Answer: 25


Solution : Given:
PIN is coded as 9, and CHARGER is coded as 49.

Square the number of letters present in the PIN to obtain the required code –
Number of letters in PIN = 3→32 = 9
Thus, PIN is coded as 9.
And in,

7 Views

Question : Directions: Identify the diagram that best represents the relationship among the classes given below.
Parents, Mothers, and Fathers

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : Here, both mothers and fathers are parents. Therefore, both the circles representing mothers and fathers will be inside the circle of parents. But, there is no direct relationship between mothers and fathers. So, both the circles will not overlap with each other.
So, the Venn diagram

16 Views

Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively?
+ and ×, 5 and 4
I. 4 + 6 × 5 – 7 ÷ 1
II. 5 × 3 – 4 + 8 ÷ 2

Option 1: –9, –8

Option 2: 30, –13

Option 3: 20, 6

Option 4: 27, –13

Team Careers360 24th Jan, 2024

Correct Answer: 27, –13


Solution : Given:
I. 4 + 6 × 5 – 7 ÷ 1
II. 5 × 3 – 4 + 8 ÷ 2

After interchanging the numbers and signs in the given equations, the equations become –
I. 5 × 6 + 4 – 7 ÷

12 Views

Question : Three cars travelled a distance in the ratio 1 : 2 : 3. If the ratio of the time of travel is 3 : 2 : 1, then the ratio of their speed is:

Option 1: 3 : 9 : 1

Option 2: 1 : 3 : 9

Option 3: 1 : 2 : 4

Option 4: 4 : 3 : 2

Team Careers360 23rd Jan, 2024

Correct Answer: 1 : 3 : 9


Solution : The ratio of distance = 1 : 2 : 3
The ratio of the time of travel = 3 : 2 : 1
As speed = $\frac{\text{distance}}{\text{time}}$,
$\therefore$ Ratio of speed = $\frac{1}{3}:\frac{2}{2}:\frac{3}{1} = 1 : 3 : 9$
Hence, the

14 Views

Question :

Which of the following micro organism is used in milk curdling?

Option 1:

Acetobacter

Option 2:

Leuconostoc

Option 3: Bacillus

Option 4: Lactobacillus

Team Careers360 24th Jan, 2024

Correct Answer: Lactobacillus


Solution : The correct option is Lactobacillus.

Lactic acid bacteria, namely Lactobacillus strains, are often utilised in milk curdling. Lactose, the sugar found in milk, is fermented by these bacteria into lactic acid. This lowers the pH of the milk, allowing it to curdle and form

24 Views

Question : Who was the first Viceroy of India?

Option 1: Lord Canning

Option 2: Lord Curzon

Option 3: Lord Wavell

Option 4: Lord Mountbatten

Team Careers360 22nd Jan, 2024

Correct Answer: Lord Canning


Solution : The correct option is Lord Canning.

Lord Canning was a British diplomat who held the positions of Governor-General and first Viceroy of India during the 1857 Indian uprising and when the East India Company's power was transferred to Queen Victoria's throne in 1858

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