RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3


In this chapter, we provide RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 Maths pdf, free RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 Maths book pdf download. Now you will get step by step solution to each question.

TextbookNCERT
ClassClass 8
SubjectMaths
ChapterChapter 5
Chapter NamePlaying With Numbers
ExerciseEx 5.3

RD Sharma Solutions for Class 8 Chapter 5 Playing With Numbers Ex 5.3 Download PDF

Solve each of the following cryptarithms.
Question 1.
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 1
Solution:
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 2
Values of A and B be from 0 to 9 In ten’s digit 3 + A = 9
∴ A = 6 or less.
∴ 7 + B = A = 6 or less
∴ 7 + 9 or 8 = 16 or 15
∴ But it is two digit number
B = 8
Then A = 5
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 3

Question 2.
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 4
Solution:
Values of A and B can be between 0 and 9
In tens digit, A + 3 = 9
∴ A = 9 – 3 = 6 or less than 6
In ones unit B + 7 = A = 6or less
∴ 7 + 9 or 8 = 16 or 15
But it is two digit number
∴ B = 8 and
∴ A = 5
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 5

Question 3.
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 6
Solution:
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 7
Value of A and B can be between 0 and 9 In units place.
1+B = 0 ⇒1+B = 10
∴ B = 10 – 1 = 9
and in tens place
1 + A + 1 = B ⇒ A + 2 = 9
⇒ A = 9 – 2 = 7
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 8

Question 4.
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 9
Solution:
Values of A and.B can be between 0 and 9
In units place, B+1 = 8 ⇒ B = 8-1=7
In tens place A + B= 1 or A + B = 11
⇒ A + 7 = 11 ⇒ A =11-7 = 4

Question 5.
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 10
Solution:
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 11
Values of A and B can be between 0 and 9
In tens place, 2 + A = 0 or 2 + A=10
A = 10-2 = 8
In units place, A + B = 9
⇒ 8 + B = 9 ⇒ B = 9- 8 = 1
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 12

Question 6.
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 13
Solution:
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 14
Values of A and B can be between 0 and 9
In hundreds place,
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 15

Question 7.
Show that cryptarithm 4 x AB¯¯¯¯¯¯¯¯=CAB¯¯¯¯¯¯¯¯¯¯¯ does not have any solution.
Solution:
RD Sharma Class 8 Solutions Chapter 5 Playing With Numbers Ex 5.3 16
It means that 4 x B is a numebr whose units digit is B
Clearly, there is no such digit
Hence the given cryptarithm has no solution.

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