Scroll:Real Number System >> Rational ( Exercise1.2) >> saq (4377)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

24 and 58


Answer:_______________




2)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

25 and 69


Answer:_______________




3)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

25 and 48


Answer:_______________




4)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

25 and 67


Answer:_______________




5)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

26 and 68


Answer:_______________




6)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

25 and 58


Answer:_______________




7)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

34 and 48


Answer:_______________




8)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

24 and 38


Answer:_______________




9)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

26 and 58


Answer:_______________




10)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

34 and 58


Answer:_______________




 

1)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

24 and 58

Answer: 916


SOLUTION 1 :

  24 and 58

a = 24 ,  b = 58

Let q1 be the rational number between 24 and 58

q1 = 12 (a+b)

1
x
 
2x8+5x4
24x88x4

 

[LCM of 4 and 8 is 32]

1
x
 
16+20=1x36=36= 916
2323223264

 

Hence, 916 is a rational number between 24 and 58



2)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

25 and 69

Answer: 815


SOLUTION 1 :

  25 and 69

a = 25 ,  b = 69

Let q1 be the rational number between 25 and 69

q1 = 12 (a+b)

1
x
 
2x9+6x5
25x99x5

 

[LCM of 5 and 9 is 45]

1
x
 
18+30=1x48=48= 815
2454524590

 

Hence, 815 is a rational number between 25 and 69



3)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

25 and 48

Answer: 920


SOLUTION 1 :

  25 and 48

a = 25 ,  b = 48

Let q1 be the rational number between 25 and 48

q1 = 12 (a+b)

1
x
 
2x8+4x5
25x88x5

 

[LCM of 5 and 8 is 40]

1
x
 
16+20=1x36=36= 920
2404024080

 

Hence, 920 is a rational number between 25 and 48



4)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

25 and 67

Answer: 2235


SOLUTION 1 :

  25 and 67

a = 25 ,  b = 67

Let q1 be the rational number between 25 and 67

q1 = 12 (a+b)

1
x
 
2x7+6x5
25x77x5

 

[LCM of 5 and 7 is 35]

1
x
 
14+30=1x44=44= 2235
2353523570

 

Hence, 2235 is a rational number between 25 and 67



5)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

26 and 68

Answer: 1324


SOLUTION 1 :

  26 and 68

a = 26 ,  b = 68

Let q1 be the rational number between 26 and 68

q1 = 12 (a+b)

1
x
 
2x8+6x6
26x88x6

 

[LCM of 6 and 8 is 48]

1
x
 
16+36=1x52=52= 1324
2484824896

 

Hence, 1324 is a rational number between 26 and 68



6)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

25 and 58

Answer: 4180


SOLUTION 1 :

  25 and 58

a = 25 ,  b = 58

Let q1 be the rational number between 25 and 58

q1 = 12 (a+b)

1
x
 
2x8+5x5
25x88x5

 

[LCM of 5 and 8 is 40]

1
x
 
16+25=1x41=41= 4180
2404024080

 

Hence, 4180 is a rational number between 25 and 58



7)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

34 and 48

Answer: 58


SOLUTION 1 :

  34 and 48

a = 34 ,  b = 48

Let q1 be the rational number between 34 and 48

q1 = 12 (a+b)

1
x
 
3x8+4x4
24x88x4

 

[LCM of 4 and 8 is 32]

1
x
 
24+16=1x40=40= 58
2323223264

 

Hence, 58 is a rational number between 34 and 48



8)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

24 and 38

Answer: 716


SOLUTION 1 :

  24 and 38

a = 24 ,  b = 38

Let q1 be the rational number between 24 and 38

q1 = 12 (a+b)

1
x
 
2x8+3x4
24x88x4

 

[LCM of 4 and 8 is 32]

1
x
 
16+12=1x28=28= 716
2323223264

 

Hence, 716 is a rational number between 24 and 38



9)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

26 and 58

Answer: 2348


SOLUTION 1 :

  26 and 58

a = 26 ,  b = 58

Let q1 be the rational number between 26 and 58

q1 = 12 (a+b)

1
x
 
2x8+5x6
26x88x6

 

[LCM of 6 and 8 is 48]

1
x
 
16+30=1x46=46= 2348
2484824896

 

Hence, 2348 is a rational number between 26 and 58



10)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

34 and 58

Answer: 1116


SOLUTION 1 :

  34 and 58

a = 34 ,  b = 58

Let q1 be the rational number between 34 and 58

q1 = 12 (a+b)

1
x
 
3x8+5x4
24x88x4

 

[LCM of 4 and 8 is 32]

1
x
 
24+20=1x44=44= 1116
2323223264

 

Hence, 1116 is a rational number between 34 and 58