Aptitude and Quantitative Skills

প্রশ্নঃ How many prime number are there between 56 and 100?

বর্ণনাঃ

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Prime numbers between 56 to 100 - 59, 61,  67, 71, 73, 79, 83, 89, 97

প্রশ্নঃ If the product of 3 different positive integers is 6, then twice the sum of the integers is:

বর্ণনাঃ

3 different positive integers whose product is 6 are 1, 2, 3.  

Then twice the sum of the integer is 2* (1+2+3) = 12

প্রশ্নঃ Tk, 7,500 is divided in the ratio 1:2:3:4:5 . Find the difference between the greatest and smallest shares?

বর্ণনাঃ

let the ratio be - x, 2x, 3x, 4x, 5x

now, 

x+2x+3x+4x+5x = 7500

15x = 7500

x = 500

Greatest share - 5x = 5*500 = 2500

 Smallest share x = 500

Difference - (2500-500) = 2000  

প্রশ্নঃ Out of 7500 candidates 75% were offered to study in arts and 45% in Business .How many were offered both?

বর্ণনাঃ

Total Offered = 75% + 45% = 120%

Let the total students are 100%

offered in both subject- 120% - 100% = 20%

  Number of candidates -  7500*20% = 1500

প্রশ্নঃ How many ounces make 4.75 pounds?

বর্ণনাঃ

1 pound = 16 ounce

(4.75*16) = 76 ounces will make 4.75 pounds

প্রশ্নঃ What is the number when divided by, 4,5 and 6 leaves in each case a remainder of 3?

বর্ণনাঃ

L.c.m of 4, 5 and 6 is - 2*2*5*3 = 60 

Now add the reminder - 60+3 = 63 

প্রশ্নঃ Half of the pillar is under the earth, one third of it is within water and 12 feet is above water. What is the length of pillar?

বর্ণনাঃ

Let the length of pillar is x 

1/2 of the pillar under earth = x*1/2 = x/2

 1/3 of it's within water = x/2* 1/3 = x/6

A.Q, 

x/6 = 12

x = 72 (length of pillar)

প্রশ্নঃ Find the value -2+(-2)-{-(2)}-2

বর্ণনাঃ

-2+(-2)-{-(2)}-2

= -2-2+2-2

= -6+2

= -4

প্রশ্নঃ If: x:y=y:z=1.5 and z=2 , What is the value of x?

বর্ণনাঃ

x/y = 1.5 or 

y/z = 1.5

y = 1.5z

y = 1.5*2

y= 3

now, 

x/y = 1.5

x = 1.5y

x = 1.5*3

x= 4.5

প্রশ্নঃ A mixture of 72 kg contain 17 parts A, 3 Parts of B, 4 parts of C. Find the quantity of B?

বর্ণনাঃ

let the ratio of mixture is = 17x, 3x and 4x

A.Q, 

17x+3x+4x = 72

24x = 72

x = 3

Parts of B = 3x = 3*3 = 9

প্রশ্নঃ A car washer machine can wash 8 cars in 18 minutes. How marry cars can be washed at the same rate in 3 hours?

বর্ণনাঃ

3 hours = 180 minutes

 In 18 minutes car washer washes 8 cars

In 1 minutes car washer washes 8/18 cars

In 180 minutes car washer washes (8*180)/18  = 80 cars

প্রশ্নঃ If 10 ships require 10 thanks of oil in 10 days. How long is 1 tank of oil enough for a ship?4 days

বর্ণনাঃ

10 ships require 10 tanks of oil in 10 days

1 ships require 10 tanks of oil in (10*10) days

1 ships require 1 tanks of oil in (10*10)/10 = 10 days

প্রশ্নঃ The total ages of father and son is 42 years and the diffrence of thier ages is 22 years. What is son's age now?

বর্ণনাঃ

let Father's age X

Son's age Y

then X+Y = 42.....  (1)

and, X-Y = 22...... (2)

By subtracting from equation 1 to 2, 

X+Y-(X-Y) =42-22

X+Y-X+Y = 20

2Y = 20

Y = 10  (Son's age)

প্রশ্নঃ If a+b=13 and a-b=3 , then find the value of $a^2+b^2$

বর্ণনাঃ

(a²+b²) = 1/2 {(a+b)²+(a-b)²}

= 1/2 {(13)²+(3)²}

= 1/2 (169+9)

= 1/2 * 178

= 89