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 / )

25 and 47


Answer:_______________




2)  

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

34 and 37


Answer:_______________




3)  

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

24 and 59


Answer:_______________




4)  

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

34 and 57


Answer:_______________




5)  

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

26 and 58


Answer:_______________




6)  

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

25 and 59


Answer:_______________




7)  

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

26 and 38


Answer:_______________




8)  

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

24 and 58


Answer:_______________




9)  

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

35 and 49


Answer:_______________




10)  

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

35 and 38


Answer:_______________




 

1)  

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

25 and 47

Answer: 1735


SOLUTION 1 :

  25 and 47

a = 25 ,  b = 47

Let q1 be the rational number between 25 and 47

q1 = 12 (a+b)

1
x
 
2x7+4x5
25x77x5

 

[LCM of 5 and 7 is 35]

1
x
 
14+20=1x34=34= 1735
2353523570

 

Hence, 1735 is a rational number between 25 and 47



2)  

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

34 and 37

Answer: 3356


SOLUTION 1 :

  34 and 37

a = 34 ,  b = 37

Let q1 be the rational number between 34 and 37

q1 = 12 (a+b)

1
x
 
3x7+3x4
24x77x4

 

[LCM of 4 and 7 is 28]

1
x
 
21+12=1x33=33= 3356
2282822856

 

Hence, 3356 is a rational number between 34 and 37



3)  

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

24 and 59

Answer: 1936


SOLUTION 1 :

  24 and 59

a = 24 ,  b = 59

Let q1 be the rational number between 24 and 59

q1 = 12 (a+b)

1
x
 
2x9+5x4
24x99x4

 

[LCM of 4 and 9 is 36]

1
x
 
18+20=1x38=38= 1936
2363623672

 

Hence, 1936 is a rational number between 24 and 59



4)  

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

34 and 57

Answer: 4156


SOLUTION 1 :

  34 and 57

a = 34 ,  b = 57

Let q1 be the rational number between 34 and 57

q1 = 12 (a+b)

1
x
 
3x7+5x4
24x77x4

 

[LCM of 4 and 7 is 28]

1
x
 
21+20=1x41=41= 4156
2282822856

 

Hence, 4156 is a rational number between 34 and 57



5)  

 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



6)  

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

25 and 59

Answer: 4390


SOLUTION 1 :

  25 and 59

a = 25 ,  b = 59

Let q1 be the rational number between 25 and 59

q1 = 12 (a+b)

1
x
 
2x9+5x5
25x99x5

 

[LCM of 5 and 9 is 45]

1
x
 
18+25=1x43=43= 4390
2454524590

 

Hence, 4390 is a rational number between 25 and 59



7)  

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

26 and 38

Answer: 1748


SOLUTION 1 :

  26 and 38

a = 26 ,  b = 38

Let q1 be the rational number between 26 and 38

q1 = 12 (a+b)

1
x
 
2x8+3x6
26x88x6

 

[LCM of 6 and 8 is 48]

1
x
 
16+18=1x34=34= 1748
2484824896

 

Hence, 1748 is a rational number between 26 and 38



8)  

 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



9)  

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

35 and 49

Answer: 4790


SOLUTION 1 :

  35 and 49

a = 35 ,  b = 49

Let q1 be the rational number between 35 and 49

q1 = 12 (a+b)

1
x
 
3x9+4x5
25x99x5

 

[LCM of 5 and 9 is 45]

1
x
 
27+20=1x47=47= 4790
2454524590

 

Hence, 4790 is a rational number between 35 and 49



10)  

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

35 and 38

Answer: 3980


SOLUTION 1 :

  35 and 38

a = 35 ,  b = 38

Let q1 be the rational number between 35 and 38

q1 = 12 (a+b)

1
x
 
3x8+3x5
25x88x5

 

[LCM of 5 and 8 is 40]

1
x
 
24+15=1x39=39= 3980
2404024080

 

Hence, 3980 is a rational number between 35 and 38