Explanation

A man sold two scooters for 24000 each.

Find the cost price of one scooter at gain of 20% :-

C.P = (S.P × 100)/(100 + gain)

= (24000 × 100)/(100 + 20)

= 2400000/120

= 20000

Explanation

Total students = 26

Students who like football = 21

Students who like cricket = 14

Let x be the number of students who like both football and cricket.

Using the formula:

(Football ∪ Cricket) = Football + Cricket – Both

So,

26 = 21 + 14 – x

26 = 35 – x

x = 35 – 26

x = 9

Explanation

If a train runs 180 km per hour, how much distance will it travel in 8 hours = 1440

Speed of train  v=180 km/h

Time taken   t = 8 h

So, distance covered by train  D = v t

D=180 × 8

=1440 km

Explanation

• "I have no brother": This means the man is an only child.
• "That girl's father is my father's son": This means the girl's father is the man himself.

Therefore, the photograph was of his daughter.

So the correct answer is (C) His daughter.

Explanation

If they sold 25% of the lights, they have 75% of the lights left. We are given that 75% of the lights is 1500:

$$0.75x=1500$$

Solve for $x$:

x=1500/0.75

​=2000

So, the total number of lights initially was 2000.

Explanation

1. Current Ages:

   • Let Zoya’s current age be $x$
   • Then, Zaid’s current age is $6x$ (since he is six times as old as Zoya).

2. The sum of Ages in 7 Years:

   • In 7 years, Zoya's age will be $x + 7$ and Zaid's age will be $6x + 7$.
   • The sum of their ages in 7 years will be $(x+7)+(6x+7)=49$.

Step 1: Formulate the Equation

x+7+6x+7=49
$$7x+14=49$$

Step 2: Solve for $x$

Subtract 14 from both sides:

$$7x=35$$

Now divide by 7:

$$x=5$$

So, Zoya’s current age is $5$ years and Zaid’s current age is:

$$6x=6\times 5=30$$

Step 3: Determine Zaid’s Age When Zoya Was Born

When Zoya was born, Zaid would have been:

$$30-5=25$$

Explanation

Total percent increase=Initial populationFinal population−Initial population​×100

Increased in 10 years =262,500 − 175,000 =87,500

Increase% = 87,500 / 175,000×100 =50

Average percent increase=Number of yearsTotal percent increase​

One year percentage = 50 x 10/100 = 5%

Explanation

"Depressed" and "elated" are antonyms

"Depressed" represents a feeling of sadness while "elated" represents a feeling of joy.

Similarly, "submissive" and "resistant" represent opposite behavioral characteristics.

 "Submissive" refers to a person who is obedient while "resistant" describes someone who is defiant or unwilling to comply.

Explanation

• Roni covers 100 meters in 45 seconds.
• Willy covers 100 meters in 36 seconds.

1. Roni's speed:

   Speed of Roni=100 m / 45 s​=20​/9 m/s

2. Distance Roni covers in 36 seconds:

   Distance=Speed×Time=20/9​×36=80 m

3. Since Willy finishes the race (100 m) when Roni has only covered 80 m, Willy beats Roni by:

   $$100-80=20\text{ m}$$

Explanation

We are given:

• PQS, QRT, RSU, STV, and need to find the next term in the sequence.

The pattern follows the sequence of consecutive letters:

• First letters: P, Q, R, S, T (increasing by 1)
• Second letters: Q, R, S, T, U (increasing by 1)
• Third letters: S, T, U, V (increasing by 1)

The next set of letters should be T, U, W.

(A) TUW