Explanation

Men days

60 : 40

40 : x           

60/40= x/40,     40x= 60* 40

x= 40*60/40,      x= 60

Explanation

Given:

Time taken by 6 men to complete work= 10 days

Solution:

Time taken by 1 man = 6 x 10 = 6o hours

The time taken by 4 men to complete the work:

60/ 4 = 15 hours.

Explanation

0.05 is equivalent to the fraction 1/20 because 0.05 is the same as 5/100, which simplifies to 1/20.

Explanation

The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

In this case, 4 × 4 × 4 = 64, so 4 is the cube root of 64.

Explanation

To find the fraction that is less than 7/8 and greater than 1/3, we need to compare the given options:

• Convert all fractions to equivalent decimals:

    - 7/8 = 0.875

    - 1/3 = 0.333

    - 17/24 = 0.708

    - 1/4 = 0.25

    - 23/24 = 0.958

    - 11/12 = 0.917

• Identify the fraction that falls between 0.333 and 0.875:

    - 17/24 = 0.708 (this is the only fraction that meets the condition)

So, the correct answer is: 17/24

Explanation

Given that A+B = 12 + B + C

=> A – C = 12 + B – B = 12

C is younger than A by 12 years.

Explanation

(3x-5) = 4(x-5)

3x -5 = 4x -20 

4x -3x = 20 -5

x=15

Explanation

Then, Ahmed's age after 15 years $=(x+15)$ years.
Ahmed age of 5 years back $=(x-5)$ years.
Given, $(x+15)=5(x-5)$
$x+15=5x-25$
$5x-x=15+25$
$4x=40$

Explanation

12 men × 10 days = 120 man-days

To complete the same work in 8 days:

120 man-days ÷ 8 days = 15 men

Explanation

When rounding off to the nearest 1000, look at the hundreds place (400 in this case).

Since it's less than 500, you round down to 5000.

Explanation

Average of prime numbers between 30 to 50 will be

31 + 37 + 41 + 43 + 47/5

 =

199/5

 = 39.8

Explanation

The pattern follows a sequence where each number decreases by 3:

• 37 - 3 = 34
• 34 - 3 = 31
• 31 - 3 = 28
• 28 - 3 = 25

So, the next number in the pattern is 25.

Explanation

When a square is rotated by 90 degrees, it still remains a square.

The shape of the square does not change because it has equal sides and 90-degree angles, regardless of its orientation.

Explanation

In the given series, each number is decreasing by 12:

112 (-12) -> 100 (-12) -> 88 (-12)

Following this pattern, the next number would be 76, obtained by subtracting 12 from 88:

88 (-12) -> 76

So, the missing number in the series is: 76.

Explanation

Waking - 1/3 hours = 20 min

Motorbike ride = 1/2 hours = 30 min

Total journey = 20 + 30 = 50 min

Portion of Bike ride = 30/50 = 0.6

ND16-3-2023

Explanation

Initially, the milkman has 10 liters of milk and adds 10 liters of water, making the total solution 20 liters (10 milk + 10 water).

The ratio of milk to water is 1:1, so the concentration of milk is 50% (10 liters milk / 20 liters total).

The son takes 15 liters of this solution, which contains 50% milk, so he takes 7.5 liters of milk (15 liters x 0.5) and 7.5 liters of water.

The son then adds 5 liters of water to the 15 liters he took, making the total solution 20 liters again (7.5 milk + 7.5 water + 5 water).

Now, the total water in the solution is 7.5 liters (initial water) + 5 liters (added water) = 12.5 liters.

So, the amount of water in the milk is 12.5 liters.

Explanation

60 (English) + 50 (Physics) + 90 (Economics) = 200

Total marks possible so far = 3 x 100 = 300

Now, let's calculate the total marks required to get 72% overall:

Total marks required = 72% of (300 + 100) (assuming Math's paper has 100 marks)

= 0.72 x 400

= 288

Now, let's subtract the marks already obtained from the total marks required:

288 - 200 = 88

So, the student needs 88 marks in Math's to obtain overall 72% marks.

Explanation

Let the S.P. be Rs. 100

Then C.P will be Rs. 25

Profit will be 75

Profit %=  75/25×100%

=300%

Explanation

A funnel is a tube or pipe that is wide at the top and narrow at the bottom,

used for guiding liquid or powder into a small opening. 

Explanation

Explanation

B alone can complete the work in 20 days, so B's work rate is 1/20 of the work per day.

A and B together can complete the work in 15 days, so their combined work rate is 1/15 of the work per day.

Since B's work rate is 1/20, A's work rate can be found by subtracting B's work rate from their combined work rate: (1/15 - 1/20) = 1/60 of the work per day.

Therefore, A alone can complete the work in 60 days.

So, the correct answer is: 60 days.

Explanation

To find how many shirts the washerman can iron in one hour (60 minutes), we can use the given rate:

• The washerman irons 4 shirts in 12 minutes.

Now, let's find how many sets of 12 minutes are there in 60 minutes:

60​/12=5

Since he can iron 4 shirts in 12 minutes, in 60 minutes he can iron:

4×5=20 shirts

Explanation

The pattern in the given equations is:

4 = 4 × 2 = 8

5 = 5 × 3 = 15

6 = 6 × 4 = 24

Following this pattern, we get:

7 = 7 × 5 = 35

So, the correct answer is: 35

Explanation

Since B is not the son of A, and A is the father of B, it means B must be the daughter of A.

This is because A is the father, and B is not a son, so B must be a daughter.

In short, the relationship is:

A (father) → B (daughter)

Explanation

Looking at the given numbers, we can see that they are all prime numbers.

- The next prime number after 41 is 43. So, the missing number in the series is 43.

Therefore, the completed series is: 11, 13, 17, 19, 23, 29, 31, 37, 41, 43.

Additional information:

- Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

Explanation

Number of tiles on one side of the room = 21 tiles.

Total tiles = B21×4= 84.

Since 4 tiles at each corner are shared by both rows, subtract these: 84−4= 80 tiles.

Explanation

S.P. = Rs. 475, Loss = 5%

C.P. = 100/100 - 5   x  475  = Rs. 500

In the second case, gain = 5%

S.P. = 100 + 5/100  x  500 = 525

*****

Explanation

Explanation

Because you observe the pattern

60–59=1

59–57=2

57–54=3

54–50=4

50–45=5

***

ND11-12-2022

Explanation

Step 1:
Take half of the first number.

Step 2:
Take half of the second number.

Step 3:
Concatenate the two halves (treating them as digits).

Let's verify with the given examples:

• 6 × 2:
  Half of 6 is 3 and half of 2 is 1. Concatenating these gives 31.

• 8 × 4:
  Half of 8 is 4 and half of 4 is 2. Concatenating these gives 42.

• 2 × 2:
  Half of 2 is 1 and half of 2 is 1. Concatenating these gives 11.

• 6 × 6:
  Half of 6 is 3 and half of 6 is 3. Concatenating these gives 33.

Now, apply the same logic to 8 × 6:

• Half of 8 is 4.

• Half of 6 is 3.

When you concatenate 4 and 3, you get 43.

Thus, the answer to 8 × 6 = 43.

Explanation

The mean of 100 items is 30, so the total sum of all items is:

30 x 100 = 3000

However, two items were wrongly taken as 32 and 12 instead of 23 and 11, which means the correct total sum should be:

3000 - 32 - 12 + 23 + 11 = 2990

Since there are 100 items, the correct mean is:

2990 ÷ 100 = 29.9

So, the correct answer is: 29.9

Explanation

Let's find the purchase price (cost price):

Selling price = Rs 25,000

Loss percentage = 20%

Let the cost price be x.

Since Naeem suffered a 20% loss:

Selling price = Cost price - Loss

25,000 = x - 0.20x

25,000 = 0.80x

Divide both sides by 0.80:

x = 25,000 / 0.80

x = 31,250

Explanation

To find the annual premium for Ali's life insurance policy, we need to calculate both the premium amount and the policy fee, then add them together.

Calculate the premium amount:

The premium is 4.5% of the total policy amount.

Premium = 4.5/100 × 500,000 = 0.045 × 500,000 Rs.

Calculate the policy fee:

The policy fee is 0.25% of the total policy amount.

Policy Fee = 0.25/100 × 500,000 = 0.0025 × 500,000 =1,250 Rs.

Add the premium amount and the policy fee to get the total annual premium:

Total Annual Premium = 22,500 + 1,250 = 23,750 Rs.

So, the annual premium for Ali's life insurance policy is Rs. 23,750.

Explanation

3 persons can do 3 jobs in 3 days

1/3 of the work will take 1/3 of the time, so

3 people can do 1 job in 1 day

It will take 1 person 3 times as long, so

1 person can do 1 job in 3 days

7 persons can do 7 times the work in the same time, so

7 persons can do 7 jobs in 3 days

Explanation

Clearly, the number of trees in the row =(4+1+4)=9.

Explanation

Now Maryam was shifted to 4 places to the right.

This implies her place is x+4 from left now, but it is given that her new place is 12th from left.

Now, in a row of 21 girls, her place is 8,

which is 14th place from right.

Explanation

Raza is ranked ninth from the top. That means there are 8 students above Raza.

Raza is 38th from the bottom. That means there are 37 students below him.

So total students 8 + Raza + 37 = 46 students

Explanation

The logic followed here is:

Saqib ranks seventh from the top and twenty-eight from the bottom in the class

Number of students in the class= 7 + 28 -1 

                                                        =  34

Explanation

Total no. of students = Top position + Bottom position - 1

Total no. of  students =16+49−1

                                      = 64

****

Number of students in the class $=(15+1+48)=64$

Explanation

50 - ( 10 + 25 ) = 15 

Khadija is middle of  15

= 8 + 10 

= 18th

Explanation

Given information:

1. The average of the first three numbers (A, B, C) is 15

   $$frac{A + B + C}{3} = 15$$ $$A + B + C = 45$$

2. The average of the last three numbers (B, C, D) is 16

   $$frac{B + C + D}{3} = 16$$ $$B + C + D = 48$$

3. The last number (D) is 19

   $$B + C + 19 = 48$$ $$B + C = 29$$

Finding A

We already have:

$$A + B + C = 45$$

Substituting $B + C = 29$:

$$A + 29 = 45$$$$A = 45 - 29$$ $$A = 16$$

Explanation

Explanation

1 km = 0.62137119 miles

0.62137119 miles ∼ 0.62 miles

∴ 1 km = 0.62 miles

Additional Information

Miles to Kilometres = Miles × 8/5 (Approximately)

Kilometers to Miles = Km × 5/8 (Approximately)

Explanation

The only pattern in which they can sit according to the given situation is,

BGBGBGB

Now boys can be arranged among themselves in 4! ways, and girls among themselves in 3! ways,

So total no. of ways 

= 4 ! × 3 ! = 144

Explanation

To find the number of pieces that can be cut, divide the length of the rod (330 cm) by the length of each piece (13.2 cm):

330 cm ÷ 13.2 cm = 25

So, 25 pieces of 13.2 cm can be cut from the 330 cm long rod.

Explanation

A triangle is called a right-angled triangle when it has an angle equal to 90 degrees.

Otherwise, it will not be a right-angled triangle.

****

all four sides are of equal length (equilateral), and all four angles are right angles. 

A triangle that has no equal sides and no equal angles is known as a Scalene Triangle

while 

if two sides of a triangle are of equal length, then it is called. Isosceles triangle

Sh5-9-2023

Explanation

 Plant: Tree: Girl: Women 

The plant grows into a tree while the girl grows into a woman

 logic:  first grows into the second.

Explanation

To solve this, we can start by expressing the given ratio m:n = 3:2 in terms of a variable, let's say x. So, m = 3x and n = 2x.

Now, let's substitute these expressions into the given ratio (4m+5n):(4m-5n):

(4(3x) + 5(2x)) : (4(3x) - 5(2x))

Expanding and simplifying, we get:

(12x + 10x) : (12x - 10x)

22x : 2x

Now, we can divide both terms by 2x to get: 11 : 1

Explanation

To solve this problem, we can follow these steps:

1. Calculate the total number of letters inserted by all clerks in 2 hours:

•     Clerk A: 1100 letters/hour × 2 hours = 2200 letters
•     Clerk B: 1450 letters/hour × 2 hours = 2900 letters
•     Clerk C: 1200 letters/hour × 2 hours = 2400 letters
•     Clerk D: 1300 letters/hour × 2 hours = 2600 letters
•     Clerk E: 1250 letters/hour × 2 hours = 2500 letters

   Total letters inserted in 2 hours:  

   2200 + 2900 + 2400 + 2600 + 2500 = 12600 letters

2. Determine the remaining letters to be inserted:

•     Total letters to be inserted: 24,000
•     Letters already inserted: 12,600

   Remaining letters: 24,000 - 12,600 = 11,400 letters

3. Calculate the rate of the remaining clerks (A, B, and E) per hour:

•     Clerk A: 1100 letters/hour
•     Clerk B: 1450 letters/hour
•     Clerk E: 1250 letters/hour

   Total rate of A, B, and E:  

   1100 + 1450 + 1250 = 3800 letters/hour

4. Calculate the time required to insert the remaining letters:

•     Time required = Remaining letters / Rate of A, B, and E
•     Time required = 11,400 letters / 3800 letters/hour = 3 hours

Answer: More than 2 hr, but less than 4 hr.

Explanation

Abid said: MOre than 10 km but less than 15 km

Resham knew: More than 12 km but less than 14 km 

13 km is common in both statement