It's a Question of your Career!

Correct Answer: 2 years

Solution : Given:
The present age of the son = 6 years
The father's present age is five times the age of his son,
⇒ Father's present age = 6 × 5 = 30 years

Let's assume that after Y years, his father's age will be four times his son's age.
After Y years, Father's age = (30 + Y) years, his son's age = (6 + Y) years

According to the given statement,
⇒ 4 × (6 + Y) = (30 + Y)
⇒ 24 + 4Y = 30 + Y
⇒ 4Y – Y = 30 – 24
⇒ 3Y = 6
⇒ Y = 2

So, after 2 years the age of the father will be 4 times as old as his son. Hence, the fourth option is correct.

Correct Answer: 55 and –20

Solution : Given:
l. 10 × 6 – 30 ÷ 4 + 20
II. 8 – 4 × 5 + 6 ÷ 2

Let's solve each equation after interchanging the numbers according to the instructions.
On interchanging the numbers 6 and 4 in the first equation, we get –
= 10 × 4 – 30 ÷ 6 + 20
= 10 × 4 – 5 + 20
= 40 – 5 + 20
= 55
On interchanging the numbers 6 and 4 in the second equation, we get –
= 8 – 6 × 5 + 4 ÷ 2
= 8 – 6 × 5 + 2
= 8 – 30 + 2
= –20

Therefore, after solving the given equations the required answer is 55 and –20. Hence, the third option is correct.

Correct Answer: $9\frac{3}{5}$ days

Solution : Time taken by $x$ to complete $\frac{1}{4}$ of a job = 6 days
Time taken by $x$ to complete whole work = 6 × 4 = 24 days
Part of work done by $x$ in a day = $\frac{1}{24}$
Time taken by $y$ to complete $\frac{3}{4}$ of a job = 12 days
Time taken by $y$ to complete whole work = $\frac{12 × 4}{3}$ = 16 days
Part of work done by $y$ in a day = $\frac{1}{16}$
Part of work done by $x$ and $y$ in a day = $\frac{1}{24}$ + $\frac{1}{16}$ = $\frac{4 + 6}{96}$ = $\frac{10}{96}$
Time taken by $x$ and $y$ together to complete whole work = $\frac{96}{10}$ = $9\frac{3}{5}$ days
Hence, the correct answer is $9\frac{3}{5}$ days.

Correct Answer: (3)

Solution : The sentence can be improved using the third option.

This is the correct phrase in English to convey that something meets the expected standard or is satisfactory. "The work you have submitted is not up to the mark", indicates that the work does not meet the required or expected standard.

Therefore, the correct sentence is: The work you have submitted is not up to the mark.

Correct Answer: displaced

Solution : The right option is the first option.

Established implies being settled, well-founded, or having achieved success, while displaced means being removed, unsettled, or forced to leave a place, which is its antonym in this context.

So, the meanings of the other given words are:

• Fail means to be unsuccessful or to not achieve the desired objective.
• Gratified means to be pleased or satisfied as a result of achieving or fulfilling something.
• Pupil refers to a student or a learner, especially in a school or educational setting.

So, the most appropriate antonym of established is displaced.

Correct Answer: VSO

Solution : Given:
CAM : EES :: OAT : QEZ :: TOI : ?

Add the consecutive even numbers to the place value of the letters of CAM and OAT to get the related letter clusters.
CAM→C + 2 = E; A + 4 = E; M + 6 = S
So, CAM is related to EES.
OAT→O + 2 = Q; A + 4 = E; T + 6 = Z
So, OAT is related to QEZ.
Similarly, follow the same pattern for TOI –
T + 2 = V; O + 4 = S; I + 6 = O

So, TOI is related to VSO. Hence, the third option is correct.

Correct Answer: 90°

Solution :
In $\triangle$PQR, PQ = PR
⇒ $\angle$Q = $\angle$R = b
PM is the angle bisector of $\angle$P.
$\angle$QPM = $\angle$RPM = a
Apply angle sum property in $\triangle$PQR,
⇒ $\angle$P + $\angle$Q + $\angle$R = 180°
⇒ $\angle$P + b + b = 180°
⇒ $\angle$P = 180° – 2b
$\angle$QPM = $\frac{180° – 2b}{2}$ = 90° – b
In $\triangle$PQM,
Let $\angle$PMQ = $\theta$
⇒ $\angle$QPM + $\angle$Q + $\angle$M = 180°
⇒ 90° – b + b + $\theta$ = 180°
⇒ $\theta$ = 90°
Hence, the correct answer is 90°.

Correct Answer: 68%

Solution : The number of students who passed
= 80% of 20 + 60% of 30
= $\frac{80 × 20}{100}$ + $\frac{60 × 30}{100}$
= 16 + 18
= 34
Now, the pass percentage of the entire class
= $\frac{\text{Number of students passed}}{\text{Total students}}$ × 100
= $\frac{34}{(20 + 30)}$ × 100
= 68%
Hence, the correct answer is 68%.

Correct Answer: Bhagta Parab

Solution : The correct option is Bhagta Parab.

Bhagta Parab is an important festival celebrated by the tribal communities in Jharkhand, particularly by the Oraon tribe. This festival is associated with the worship of the deity Marang Buru, who is considered to be the protector of the community. Bhagta Parab is observed to seek blessings for the well-being of the community, the fertility of the land, and the prosperity of the people.

Correct Answer: i-b, ii-a, iii-d, iv-c

Solution : The correct answer is i-b, ii-a, iii-d, iv-c.

• Voltmeter: An instrument that measures voltage.
• Ammeter: an instrument that measures the magnitude of the current.
• Galvanometer: an instrument that measures the direction and magnitude of the current.
• Ohmmeter: An instrument that measures resistance.