Explanation

30 + 39.98 = 69.98

So, the correct answer is: 69.98

Explanation

As we all know

Circumference of the circle: 2πr

The radius of the circle: r

Ratio = 2πr : r = 2πr/r = 2π

Thus we conclude that 2π:1

Explanation

Explanation

Let's evaluate the equation:

(1/4 + 5/8) = 2/8 + 5/8 = 7/8

(1/2 + 3/4) = 4/8 + 6/8 = 10/8 = 5/4

Add the two expressions:

(7/8) + (5/4) = 7/8 + 10/8 = 17/8

So, the equation evaluates to 17/8.

Therefore, the correct answer is 17/8.

Explanation

To find the ratio, divide the number of red cars by the number of green cars:

42 (red) ÷ 14 (green) = 3

So, for every 1 green car, 3 red cars were sold. Hence, the ratio is 3:1.

Explanation

1 kilogram (kg) of gold = 1,000 grams (g)

1 gram (g) of gold = 1,000 milligrams (mg)

1 ounce (oz) of gold ≈ 31.1 grams (g)

A kilogram is equal to 2.2 pound.

Gold density: 19.3 g/cm³

Gold melting point: 1,064°C (1,947°F)

Explanation

Let A's current age be x and B's current age be y.

Since A is twice as old as B, x = 2y.

Three years ago, A's age was x - 3 and B's age was y - 3.

Since A was three times as old as B, x - 3 = 3(y - 3).

Solving the equations, we get x = 12.

So, the correct answer is 12 years.

Explanation

To find the time taken, subtract the departure time from the arrival time.

Departure time: 22:55

Arrival time: 06:05 (next day)

First, convert the times to a 24-hour clock:

Departure time: 22:55

Arrival time: 06:05

Subtract the departure time from the arrival time:

06:05 - 22:55 = 7 hours 10 minutes

Therefore, the time taken for the journey is 7 hours 10 minutes.

Explanation

Sum of the ages of 3 friends =3×23= 69 years

Sum of the ages of 4 friends =4×23= 92 years

∴ Age of 4th friend = 92 years - 69 years = 23 years.

Explanation

0.005 × 0.2 = 0.001

So, the product of 0.005 and 0.2 is 0.001.

Explanation

2 ×  2 = 4

4 ×  2 = 8

8 ×  2 = 16

16 ×  2 = 32

Explanation

Amount of work done by A and B in 1 day = 1/30

Amount of work done by A and B in 20 days = 20 × (1/30) = 20/30 = 2/3

Remaining work – 1 – 2/3 = 1/3

A completes 1/3 work in 20 days

Amount of work A can do in 1 day = (1/3)/20 = 1/60

=> A can complete the work in 60 days

Explanation

The pattern of the number series appears to be an increase of 5, 4, 9, 13, ... , which suggests an increase of 4, then 9, then 13, and so on.

Therefore, the next increase would be 15, which adds up to 57.

Here's the completed series:

4, 9, 13, 22, 35, 57

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

The sum of all odd numbers between 1 and 100 is 50^2=2500

The sum of all even numbers between 2 and 100 is 50^2+50=2550

The total of 1 to 100 natural numbers is 2500+2550

5050

The average of the first 100 numbers is 5050 / 100 = 50.50

Explanation

3/4=0.75

5/6=0.833

1/2=0.5

2/3=0.66

4.5=0.8

9/10=0.9

Clearly 0.8 lies between 0.75  and .833

4/5 lies between 3/4 and 5/6 .

Explanation

Explanation

The kilometre is a unit of length in the metric system, equal to one thousand meters.

Explanation

Let total income = x

Spend money = 3300

% money of total income used = 75% of X According to condition.

75% x X = 3300 X x 75/100 = 3300 75X = 330000 X = 330000/75 X = 4400

Explanation

2 * 2 = 4

3 * 3 = 9

4 * 4 = 16

5 * 5 = 25

6 * 6 = 36

Therefore, the series is 2, 4, 3, 9, 4, 16, 5, 25,36.

Explanation

To solve this problem, you need to use the concept of profit percentage and the formula:

Profit = Selling Price - Cost Price

Given:

Selling Price = Rs. 118

Profit = 50% of Cost Price

Let's calculate the Cost Price:

Profit = (50/100) x Cost Price

Profit = Rs. 118 - Cost Price

Substitute the profit value:

(50/100) x Cost Price = Rs. 118 - Cost Price

Simplify and solve for Cost Price:

Cost Price = Rs. 78.66

Explanation

Cost Price of 56 kg rice = Rs.

(26 × 20 + 30 × 36)

= Rs. (520+1082) = Rs.1600.

Selling Price of 56 kg rice = Rs.

(56 × 30)

= Rs. 1680.

Profit = Selling Price - Cost Price = 1680 - 1600.

Profit Percentage = Profit / Cost price × 100

= 800/1600 × 100 = 5%

Explanation

The boy is the girl's brother.

The phrase "son of the daughter of the father of my uncle" refers to the girl's mother.

This making the boy her brother.

Explanation

Explanation

an isosceles triangle has equal in sides and in equal angle

Explanation

Let man required =X

More men, less men (indirect proportion)

M= 15x10/3

M= 150/3

M= 50

****

ND19-1-2023

Explanation

 46+37+29+5+14+33=164

Explanation

Discount price=Market price(1-discount price/100)

70=x(1-20/100)

70=x(1-1/5)

70=x(4-1/5)

(70)(5)=4x

350=4x

x=350/4

x=87.5

SH18-8-2023

Explanation

• To convert a decimal to a percentage, multiply by 100:
  

$0.09\times 100=9\mathrm{\%}$

Explanation

Let's assume the maximum marks in each subject are 100. Then, the student's total marks in the three subjects are:

75 + 80 + 85 = 240

If the marks of another subject are added, the total marks become:

240 + x (where x is the marks obtained in the fourth subject)

The average percentage cannot be less than 60% because:

• If the student scores 0 in the fourth subject, the total marks would be 240, and the average percentage would be (240/400) x 100% = 60%.
• If the student scores any marks in the fourth subject, the average percentage would be higher than 60%.

Explanation

25 percent *60

= (25/100)*60

= (25*60)/100

= 1500/100

= 15

Explanation

To find the sum of the four numbers, multiply the average by the total count of numbers:

Average = 24

Total count = 4

Sum = Average × Total count

Sum = 24 × 4

Sum = 96

Explanation

Arithmetic mean of 2, 4, 6, 8, 10, and 12
A.M = Sum of terms / No. of terms
A.M = (2 + 4 + 6 + 8 + 10 + 12) / 6
A.M = 42 / 6
A.M = 7

Explanation

If 12 men can complete the work in 24 days,

it means that the total number of man-days required to complete the work is:

12 men * 24 days = 288 man-days.

288 man-days / 8 men = 36 days.

Explanation

Let's solve step by step using BODMAS rule:

2 × 2 + 2 ÷ 2

= 4 + 1

= 5

Explanation

One billion is equal to one thousand million, written numerically as 1,000,000,000.

One billion is equivalent to 100 crore or 10,000 lakh. 
1 billion has 9 zeroes
1 billion means ایک ارب

Explanation

Let the number be x.

Given:

3​/11×x=22

To find x, multiply both sides by3​/11​:

x=22×11/3​=242/3​

But this gives a fractional number — let's double-check:

Actually, it's simpler to find 6/11​ of the number without finding the whole number.

We know:

3​/11​ of number =22

So, 1 part (i.e., $frac{1}{11}$) = 22/3​

Then:

6/11​=6×(22/3​)=132​/3=44

Explanation

The Fibonacci sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.

In this series, the next number is found by adding the two numbers before it.

Hence, the next term in the series is 8 + 13 = 21.

Explanation

If A = {1,2,3,4,6} B= {2,4,5,7} then B-A =?

{2,4,5,7} -  {1,2,3,4,6}

 B - A means B contains the element which is not present in A. 

{3,5,7}

Explanation

 Cap is to the head as a shoe is to the feet.

Reason – a cap is worn on the head as a shoe is worn on the feet.

Explanation

We are told:

• Arrival time = 15:06 (i.e., 3:06 PM)

• Journey duration = 5¼ hours = 5 hours 15 minutes

Step 1: Subtract 5 hours 15 minutes from 15:06

Start with 15:06

• Subtract 5 hours → 10:06

• Subtract 15 minutes → 9:51

Explanation

8 cars / 18 minutes = x cars / 180 minutes (3 hours)

x = (8 * 180) / 18

x = 80

So, the correct answer is 80.

Explanation

 Acre is to kanel as

the square is to marls

Explanation

A railway station is a facility that has railway tracks or lines for trains to carry passengers or goods from one place to another.

Explanation

If 8 men eat 16 mangoes in 15 minutes, it means each man eats 16/8 = 2 mangoes in 15 minutes.

So, in 30 minutes, each man will eat 2×2 = 4 mangoes.

Therefore, if there are 16 men eating for 30 minutes, they will eat 16×4 = 64 mangoes.

Explanation

Since 3 is a solution, plug x = 3 into the equation:

3(3)^2 + (k - 1)(3) + 9 = 0

27 + 3k - 3 + 9 = 0

3k + 33 = 0

3k = -33

k = -11

Explanation

We know that:

x × x = x²

Reciprocal of x = 1/x

According to the problem:

(x × x) ÷ (1/x) = 18/26 × 27

Simplifying the equation:

x² ÷ (1/x) = 18/26 × 27

x³ = 18/26 × 27

Now, let's solve for x:

x³ = 486/26

x³ = 18.69 (approximately)

x = ∛(18.69) ≈ 2.67

Explanation

Step 1: Find the perimeter of the square

$$\text{Perimeter}=4\times \text{side}=4\times 50=200\text{ meters}$$

Step 2: Calculate total fencing cost

$$\text{Cost}=200\times 8=\text{Rs. }1600$$

Explanation

 The formula for the nth term of an arithmetic sequence is aₙ = a₁ + (n - 1)d, where: 

aₙ is the nth term of the sequence

a₁ is the first term of the sequence

n is the term number (e.g., 1st term, 2nd term, etc.)

d is the common difference between consecutive terms

For example, if the first term (a₁) is 2 and the common difference (d) is 3, then the 5th term (a₅) would be calculated as follows: 

a₅ = 2 + (5 - 1)3 = 2 + 4 * 3 = 2 + 12 = 14 

Explanation