All questions of Quantitative Aptitude and Reasoning for Class 8 Exam
Clearly, the playground is of rectangular shape.
So the required length of the wire
= Perimeter of the rectangle
= 2 (length + breadth)
= 2 (250+20) = 540 m.
Given:
- Total number of votes = 7500
- 20% of the votes were invalid
To find:
- The number of valid votes that the other candidate got
Methodology:
1. Calculate the number of invalid votes.
2. Subtract the number of invalid votes from the total votes to find the number of valid votes.
3. Calculate the number of valid votes received by the other candidate using the given percentage.
Solution:
1. Calculate the number of invalid votes:
- 20% of the total votes = 20/100 * 7500 = 1500 votes
2. Calculate the number of valid votes:
- Total votes - Invalid votes = 7500 - 1500 = 6000 votes
3. Calculate the number of valid votes received by the other candidate:
- The other candidate received 55% of the total valid votes.
- So, the number of valid votes received by the other candidate = 55/100 * 6000 = 3300 votes
Therefore, the number of valid votes that the other candidate got is 3300 votes, which corresponds to option 'B'.
Given information:
- Total number of students in the class = 60
- Girls are twice the number of boys
- Kamal is ranked 17th from the top
- There are 9 girls ahead of Kamal
Finding the number of boys and girls in the class:
Let the number of boys be x. Since girls are twice the number of boys, the number of girls would be 2x.
Total number of students in the class = Number of boys + Number of girls
60 = x + 2x
60 = 3x
x = 20
Therefore, there are 20 boys and 40 girls in the class.
Finding the number of students ahead of Kamal:
Since Kamal is ranked 17th from the top and there are 9 girls ahead of him, the number of students (including Kamal) ahead of him would be 17 + 9 = 26.
Finding the number of boys after Kamal:
The number of boys after Kamal would be the total number of boys minus the number of boys ahead of Kamal.
Number of boys after Kamal = Number of boys - Number of boys ahead of Kamal
= 20 - 26
= -6
Since the number of boys after Kamal cannot be negative, it means that there are no boys after Kamal in rank. Therefore, the answer is option C) 12.
The new letter sequence is EDRPSEISNO. The seventh letter from the right is P.

The father of his brother means “ his father” is the only son of my mother means “ my brother” It means lady’s is the father’s sister of the man’s father.
's age.
Let the age of the father be 5x and the age of the son be 2x (according to the given ratio).
Their product of ages is 1000, so we have:
5x * 2x = 1000
10x^2 = 1000
x^2 = 100
x = 10
Therefore, the age of the father is 5x = 50 years old.
Explanation:
Right Angled Triangle:
- In a right-angled triangle, one angle is a right angle, which is equal to 90 degrees.
- The other two angles are acute angles, which are less than 90 degrees.
- The sum of the two acute angles in a right-angled triangle is always equal to 90 degrees.
Given condition:
- One angle of the triangle is equal to the sum of the other two angles.
- Let the angles be x, y, and z, where x is the angle that is equal to the sum of y and z.
- Therefore, x = y + z.
- According to the given condition, x = y + z.
Conclusion:
- Since the given condition x = y + z is satisfied in a right-angled triangle, the triangle must be a right-angled triangle.
- Therefore, the correct answer is option 'B' - Right Angled Triangle.
Type- Simple arrangement (SWAP CODING) Interchange F and D, R and N and I and E. Similarly, DESERT is coded as TRESED.
Understanding the Problem
Varun sold a book to Vijay for 1440 with a profit of 20%. We need to find out the price at which Varun originally bought the book.
Calculating the Cost Price
To find the cost price (CP), we can use the formula for selling price (SP) in relation to profit percentage:
- Selling Price = Cost Price + Profit
- Profit = Cost Price * Profit Percentage
Since the profit percentage is 20%, this can be expressed as:
- Profit = Cost Price * 20/100 = Cost Price * 0.2
Now, we can rewrite the Selling Price equation:
- Selling Price = Cost Price + (Cost Price * 0.2)
This simplifies to:
- Selling Price = Cost Price * (1 + 0.2) = Cost Price * 1.2
Setting Up the Equation
Given that the Selling Price is 1440, we have:
- 1440 = Cost Price * 1.2
Solving for Cost Price
To find the Cost Price, we rearrange the equation:
- Cost Price = 1440 / 1.2
Calculating:
- Cost Price = 1440 / 1.2 = 1200
Conclusion
Thus, the price at which Varun bought the book is:
- 1200
Therefore, the correct answer is option 'C'.
To determine the code for the word HABIT, we need to analyze the given codes for the words HAT and RABBIT.
Given:
HAT is coded as 782
RABBIT is coded as 681192
Let's break down the codes and observe the pattern:
1. Code for HAT (782):
- The word HAT has three letters.
- The code consists of three digits.
- The first digit (7) represents the first letter 'H'.
- The second digit (8) represents the second letter 'A'.
- The third digit (2) represents the third letter 'T'.
2. Code for RABBIT (681192):
- The word RABBIT has six letters.
- The code consists of six digits.
- The first digit (6) represents the first letter 'R'.
- The second digit (8) represents the second letter 'A'.
- The third digit (1) represents the third letter 'B'.
- The fourth digit (1) represents the fourth letter 'B'.
- The fifth digit (9) represents the fifth letter 'I'.
- The sixth digit (2) represents the sixth letter 'T'.
From the given examples, we can observe that the code for each letter is determined by its position in the word. Therefore, the code for the word HABIT can be determined as follows:
- The word HABIT has five letters.
- The code should consist of five digits.
- The first digit should represent the first letter 'H'.
- The second digit should represent the second letter 'A'.
- The third digit should represent the third letter 'B'.
- The fourth digit should represent the fourth letter 'I'.
- The fifth digit should represent the fifth letter 'T'.
Based on this pattern, we can conclude that the code for HABIT is 78192. Therefore, the correct answer is option B: 78192.
R, E,A,T appears is some order in all other words.
Calculation:
- The insect climbs 5 cm every second and falls 2 cm every second.
- So, in every 2 seconds, it climbs 5 cm - 2 cm = 3 cm.
- To climb a 60 cm rod, it will take 60 cm / 3 cm per 2 seconds = 20 cycles of 2 seconds each.
- Therefore, it will take 20 cycles x 2 seconds = 40 seconds to climb the rod.
Correct Answer: Option D) 39
(12 km + 5km = 17km)


Radius of each of semi-circle
= 42/2 = 21m
The required area =2 x area of semi-circle EFA + area of rectangle ABDE


Given:
- (3/4)th of the balls are red
- (1/6)th are white
- Rest are blue
- 3 blue balls in the box
To find:
- Number of red balls
Solution:
Let the total number of balls in the box be 'x'.
- (3/4)x = number of red balls
- (1/6)x = number of white balls
- 3 = number of blue balls
We can find the total number of balls as follows:
x = (3/4)x + (1/6)x + 3
x - (3/4)x - (1/6)x = 3
(7/12)x = 3
x = (3*12)/7 = 36/7 (approx. 5.14)
Since the number of balls can only be a whole number, we can assume that there are 5 balls in the box.
- (3/4)*5 = 15/4 (approx. 3.75)
- (1/6)*5 = 5/6 (approx. 0.83)
- 5 - 3 = 2
Thus, there are 15/4 (approx. 3.75) red balls in the box.
Answer: Option C (27)
0 - 1 + 2 - 3 + 4 - 5 + 6 - 7...... - 17 + 18 - 19 + 20
= 0 + (-1 + 2) + (-3 + 4) + (-5 + 6) + ...... + (-17 + 18) + (-19 + 20)
= 0 + 1 + 1 + ...... + 1 + 1 = 10
Understanding the Problem
To solve the expression "24 ÷ 12 - 18 + 9" using the unique definitions provided for the operators, we need to replace each symbol with its corresponding mathematical operation.
Symbol Replacement
- "+" means "divided by" (÷)
- "-" means "added to" (+)
- "x" means "subtracted from" (-)
- "÷" means "multiplied by 1" (×)
Let's rewrite the expression based on these definitions:
Expression Transcription
- Original: 24 ÷ 12 - 18 + 9
- Replacing symbols:
- 24 (multiplied by 1) 12 (added to) 18 (divided by) 9
This translates to:
24 × 12 + 18 ÷ 9
Calculating the Expression
1. Calculate 24 × 12:
24 × 12 = 288
2. Calculate 18 ÷ 9:
18 ÷ 9 = 2
3. Now add the results:
288 + 2 = 290
Final Result
Thus, the value of the expression "24 ÷ 12 - 18 + 9" after converting the symbols and performing the calculations is:
290
Therefore, the correct answer is option 'D'.
From fig. (B) to fig. (A), the straight lines are converted to curved lines (or arcs).

⇒ 3x = y + z
⇒ 3 x - z = y
Subtract the sum of the even numbers from the sum of the odd numbers.
7+9 = 16 9+3 = 12
2+4 = 6 4+6 = 10
16-6=10 12-10 = 2
When the sheet in fig.(X) is folded to form a cube, then the face bearing a dot appears opposite to a blank face, the face bearing a “+’ sign appears opposite to another blank face and the face bearing a circle appears opposite to the third blank face. Clearly, all the four cubes shown in figures (A), (B), (C) and (D) can be formed.
Sales in year 2008 = 50
Sales in year 2009 = 30
Difference = 50 - 30 = 20
∴ Percentage decrease = 20/50 x 100 = 40%
In figure (X), one of file dots lies in the region common to the circle and the triangle only and the other dot lies in the region common to die circle and die square only. In figures (a), (c) and (d), the region common to the circle and the triangle lies within the square. Only figure (b) contains a region common to the circle and the triangle only and also a region common to the circle and the square.
Moving clockwise,
We have: 594÷3 = 198:198÷3 = 66. So, missing number = 66 ÷ 3 = 22
Obtuse angled triangle as ∠ABC = 120°.
As a > 1/6 (90°) => a > 15°
But a + b = 180° (linear Pair)
∴ b < 165°
Average sales

A : B : C = 12 : 15 :25
Total parts = 52
One part = 312/52 = 6
∴ A = 12 x 6 = 72, B = 15 x 6 = 90, C = 25 x 6 = 150

Bidi smokers is a subset of smokers cancer patient may be a smoker, bidi smoker and non smoker. Hence, third object shares a common relationship with first and second object as well.
The three letters of second word moved 5,4,3 and steps forward respectively.