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Vidaara.orgClass 8 · Mathematics
CodeVID-M8-23-CT
Logical Reasoning — Full Chapter Test
Chapter: Logical Reasoning
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A logical sequence follows a:
  • A.random order
  • B.fixed rule
  • C.single number
  • D.colour
2.
A Venn diagram uses ___ to show sets.
  • A.squares
  • B.circles
  • C.lines
  • D.arrows
3.
In coding-decoding, symbols follow a:
  • A.colour
  • B.rule
  • C.shape
  • D.size
4.
The next term of $2, 4, 6, 8$ is:
  • A.$9$
  • B.$10$
  • C.$12$
  • D.$16$
5.
The intersection contains elements:
  • A.in only one set
  • B.common to both
  • C.in neither
  • D.outside
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the next term: $5, 10, 15, \ldots$
7.
The overlap of two sets is called the:
8.
With $A=1, B=2, \ldots$, find the code for $D$.
9.
Find the next term: $2, 4, 8, 16, \ldots$
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the next two terms: $1, 1, 2, 3, 5, \ldots$
11.
$A=\{1,2,3,4\}$, $B=\{3,4,5\}$. Find $A\cap B$.
12.
If each letter shifts $+2$, code "BAD".
13.
Find the next term: $1, 8, 27, 64, \ldots$
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Find the next two terms and state the rule: $3, 6, 12, 24, \ldots$
15.
In a group of $40$ students, $25$ play cricket, $20$ play football and $10$ play both. Find how many play (a) only cricket, (b) only football, (c) neither.

Answer Key

Section A — Multiple Choice Questions
  1. (B) fixed rule
  2. (B) circles
  3. (B) rule
  4. (B) $10$
  5. (B) common to both
Section B — Short Answer (2 marks)
  1. $20$.
  2. Intersection.
  3. $4$.
  4. $32$.
Section C — Short Answer (3 marks)
  1. $8,\ 13$.
  2. $\{3,4\}$.
  3. "DCF".
  4. $125$.
Section D — Long Answer (5 marks)
  1. $48,\ 96$; rule: multiply by $2$.
  2. Only cricket $15$; only football $10$; neither $5$.
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