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Grade 8

The document contains 12 multiple choice questions with solutions related to mathematics, logic, and reasoning. The questions cover topics such as arithmetic operations, number series, geometry, relationships between people, and word problems. The solutions clearly show the step-by-step working to arrive at the answers.

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abhuvarshitha
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0% found this document useful (0 votes)
49 views8 pages

Grade 8

The document contains 12 multiple choice questions with solutions related to mathematics, logic, and reasoning. The questions cover topics such as arithmetic operations, number series, geometry, relationships between people, and word problems. The solutions clearly show the step-by-step working to arrive at the answers.

Uploaded by

abhuvarshitha
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Q1.

If “+” means “x”; “x” means “+”; “÷” means “–” and “–” means “÷”, then
15 + 18 - 9 ÷ (20 - 4) x 12 ÷ 11= ?

A. 22
B. 24
C. 26
D. 28

Answer: (C)
Solution:
We can rewrite the expression as follows:
15 x 18 ÷ 9 - (20 ÷ 4) + 12 - 11= ?
= 15 x 2 - 5 + 12 - 11
= 30 - 5 + 12 - 11
= 26

Q2. Directions: In the following question, select the number(s) from the given options for
completing the given series. 10, 12, 15, 20, 27, __

A. 38
B. 33
C. 35
D. 37

Answer: (A)
Solution:
10, 12, 15, 20, 27, __
Here the prime number addition pattern follows
10 + 2 = 12
12 + 3 = 15
15 + 5 = 20
20 + 7 = 27
27 + 11 = 38

Directions (Q3): In the following question, there is a relationship between two figures on the left of
the sign (::). The same relationship exists between the figures to the right of the sign (::) of which
one is missing. Find the missing one from the alternatives.
49 : 81 :: 64 : ?

A. 81
B. 100
C. 121
D. 144
Answer: (B)
Solution:
Here the difference between the square of numbers is 2.
7² : 9² :: 8² : x²
Solve for x = 8 + 2 = 10
10² = 100
49 : 81 :: 64 : 100

Q4. In an examination, Raju got 7th rank from the top and he was 39th from the bottom among
those who passed. 5 students could not appear for the exam. 8 students failed. What is the total
number of students?

A. 52
B. 55
C. 56
D. 58

Answer: (D)
Solution:
Total students = 6 + Raju + 38 + 5 + 8
= 58 students

Q5. Five friends P, Q, R, S, and T are sitting in a row in decreasing order of their height from left to
right. P is taller than only R, while Q is taller than both T and P. S is taller than Q. Who amongst the
following is sitting exactly in the centre between them?

A. R
B. P
C. T
D. Q

Answer: (C)
Solution:
Sitting arrangement according to height:
S>Q>T>P>R
So, T is in the center.
Q6. A, B, C, D, E, F, G and H are sitting around the circle and facing the centre. A is second to the right
of E who is the neighbour of C and G. D is not the neighbour of A, G is the neighbour of F. B is not
between D and H. H is not between F and D. How many numbers of people are sitting between E
and D?

A. 1
B. 2
C. 3
D. 4

Answer: (C)
Solution:

So, 3 people are sitting between E and D.

Directions(Q7-8): Two statements are given, followed by three conclusions numbered I, II and III.
Assuming the statements to be true, even if they seem to be at variance with commonly known
facts, decide which of the conclusions logically follow(s) from the statements.

Q7. Statements:
1. No plant is a tree.
2. All trees are forests.
Conclusions:
I. Some forests are trees.
II. Some forests are plants.
III. All plants are forests.

A) Only conclusion III follows


B) Either conclusions II or III, and I follow
C) Either conclusion II or III follows
D) Only conclusion I follow

Answer: (D)
Solution:

From the given statements, we can conclude that no plant is a tree, and all trees are forests.
Therefore, we can conclude that some forests are trees (part of statement 2). So, Conclusion I "Some
forests are trees" follows from the given statements.
However, there is no direct or indirect connection between forests and plants, so we cannot
conclude that some forests are plants. Therefore, Conclusion II "Some forests are plants" does not
follow from the given statements.

Hence, the correct answer is (D) Only conclusion I follow.

Q8. Statements:
1. Some pens are pencils.
2. Some pencils are boxes.
3. All box is a bag.
Conclusions:
I. Some pens are boxes.
II. Some pens are bags.

A) If only conclusion I follows


B) If only conclusion II follows
C) If conclusions I and II both follow
D) If neither Conclusion I nor Conclusion II follows

Answer: (D)
Solution:
From the given statements, we can conclude that some pencils are boxes, and all boxes are bags.
However, we cannot directly conclude that some pens are boxes or bags.
Therefore, Conclusion I "Some pens are boxes" does not follow from the given statements.
Conclusion II "Some pens are bags" also does not follow from the given statements as there is no
direct or indirect connection between pens and bags.
Thus, neither Conclusion I nor Conclusion II follows from the given statements.

Therefore, the correct answer is (D) If neither Conclusion I nor Conclusion II follows.

Q9. Kishan walks 20 km toward the South. From there, he walks 8 km toward the North. Then, he
walks 5 km toward the West. How far and in which direction is he with reference to his starting
point?

A) 8 km, West
B) 13 km, West
C) 12 km, East
D) 13 km, South-West

Answer: (D)
Solution:
A

x 12 km

C 5 km B

Starting position of Kishan is A and final position is C


Distance of AC = √AB² + BC²
= √12² + 5²
= √144 + 25
= √169 = 13 km
Direction = South-West

Q10. Introducing Sarah, Emily said, “She is the sister of the son of the mother of my husband.” How
is Sarah related to Emily?

A) Son
B) Brother
C) Father
D) Sister-in-law

Answer: (D)
Solution:
Son of the mother of my husband - His husband
Sister of his husband- Sister-in-Law

Q11. Which number is opposite to 3?


A. 2
B. 4
C. 5
D. 6

Answer: (D)

Solution:
When comparing Dice I and Dice II
1 and 3 are common faces, So 2 is opposite to 5.
When comparing Dice I and Dice III
2 and 3 are common faces, So 1 is opposite to 4.
Hence remaining two numbers 3 and 6 are opposite faces.

Q12. Identify their relationship and find the missing number.

5 6 2 5 3
8

8 5 ?
3 3
8 7 9 4 5 6
A. 74
B. 63
C. 58
D. 45

Answer: (C)

Solution:
Here the relation is a Multiplication of diagonal numbers and addition:
In Ist figure- 5 x 7 = 35, 8 x 6 = 48
35 + 48 = 83
In IInd figure- 2 x 4 = 8, 9 x 5 = 45
8 + 45 = 53

In IIIrd figure- 3 x 6 = 18, 5 x 8 = 40


18 + 40 = 58

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