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All questions of Quantitative Aptitude & Reasoning for Class 7 Exam

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
  • a)
    2500
  • b)
    2700
  • c)
    2900
  • d)
    3100
Correct answer is option 'B'. Can you explain this answer?

Kiran Reddy answered
Total number of votes = 7500 
Given that 20% of Percentage votes were invalid
⇒ Valid votes = 80%
Total valid votes = 7500*(80/100) 
1st candidate got 55% of the total valid votes. 
Hence the 2nd candidate should have got 45% of the total valid votes 
⇒ Valid votes that 2nd candidate got = total valid votes x (45/100) 
7500*(80/100)*(45/100) = 2700

A playground which is 250 m long and 20 m broad is to be fenced with wire. How much wire is needed?
  • a)
    270 m
  • b)
    230 m
  • c)
    540 m
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

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.

If one angle of a triangle is equal to the sum of the other two angles, the triangle must be:
  • a)
    Scalene    
  • b)
    Right Angled
  • c)
    Obtuse Angled    
  • d)
    Acute Angled
Correct answer is option 'B'. Can you explain this answer?

Mansi mehta answered


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.

An insect crawls up 5 cm every second on a 60 cm vertical rod and then falls down 2 cm over the next second. How many seconds will it take to climb the rod?
  • a)
    10
  • b)
    20
  • c)
    30
  • d)
    39
Correct answer is option 'D'. Can you explain this answer?

Kiran Reddy answered
Distance covered in 1st second = 5 cm
Distance covered in 2nd second = - 2 cm 
∴ Total distance covered in two seconds 
= 5 - 2 = 3 cm
Time taken in climb distance of 3 cm = 2 secs
Distance climbed by insect in 38 secs.
= 38/2 x 3 = 57cm
Distance covered in 39th secs 
= 57 + 5
= 62 cm
Which is more than the rod height.
Hence, insect will climb the rod in 39 sec.

What is the value of 0 - 1 + 2 - 3 + 4 - 5 + 6 - 7 ........... - 17 + 18 - 19 + 20?
  • a)
    10
  • b)
    15
  • c)
    20
  • d)
    25
Correct answer is option 'A'. Can you explain this answer?

The given expression involves subtracting consecutive numbers in a pattern. Let's break down the expression step by step to find its value.

Step 1: 0 - 1 = -1
Step 2: -1 + 2 - 3 = -2
Step 3: -2 + 4 - 5 = -3
Step 4: -3 + 6 - 7 = -4
Step 5: -4 + 8 - 9 = -5
Step 6: -5 + 10 - 11 = -6
Step 7: -6 + 12 - 13 = -7
Step 8: -7 + 14 - 15 = -8
Step 9: -8 + 16 - 17 = -9
Step 10: -9 + 18 - 19 = -10
Step 11: -10 + 20 = 10

So, the final value of the given expression is 10.

Therefore, the correct answer is option A) 10.

In a box, (3/4)th of the balls are red, (1/6)th are white and the rest are blue. If there are 3 blue balls in the box, how many are red?
  • a)
    9
  • b)
    18
  • c)
    27
  • d)
    39
Correct answer is option 'C'. Can you explain this answer?

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)

In a class of 60, where girls are twice that of boys, Kamal ranked seventeenth from the top. If there are 9 girls ahead of Kamal, how many boys are after him in rank ?
  • a)
    3    
  • b)
    7
  • c)
    12    
  • d)
    23
Correct answer is option 'C'. Can you explain this answer?

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 ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then find the father’s age after 10 years.
  • a)
    40 years
  • b)
    50 years
  • c)
    60 years
  • d)
    100 years
Correct answer is option 'C'. Can you explain this answer?

Pratima jain answered
'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.

If in a certain code, HAT is 782, RABBIT is 681192. Then how will HABIT be coded as ?
  • a)
    78139
  • b)
    78192
  • c)
    68192
  • d)
    78129
Correct answer is option 'B'. Can you explain this answer?

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.

  • a)
    11
  • b)
    12
  • c)
    22
  • d)
    33
Correct answer is option 'C'. Can you explain this answer?

Kiran Reddy answered
Moving clockwise,
We have: 594÷3 = 198:198÷3 = 66. So, missing number = 66 ÷ 3 = 22

Direction: In the following examples there is a diagram marked (X), with one or more dots placed in it. The diagram is followed by four other figures, marked (a), (b), (c) and (d) only one of which is such as to make possible the placement of the alternative in each of these
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Kiran Reddy answered
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.

Select from the alternative, the box that can be formed by folding the sheet shown in figure (X).

  • a)
    A only
  • b)
    A, B, and C only
  • c)
    B and C only
  • d)
    A, B, C and D
Correct answer is option 'D'. Can you explain this answer?

Kiran Reddy answered
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.

What number should replace the question mark ?
  • a)
    2
  • b)
    9
  • c)
    12
  • d)
    19
Correct answer is option 'A'. Can you explain this answer?

Kiran Reddy answered
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

Which of the following diagrams correctly represents the relationship among smokers, bidi smokers, cancer patients?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Kiran Reddy answered
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.

Pointing towards a man in the photograph, lady said the father of his brother is the only son of my mother. How is the man related to lady ?
  • a)
    Brother    
  • b)
    Son
  • c)
    Cousin    
  • d)
    Nephew
Correct answer is option 'D'. Can you explain this answer?

Kiran Reddy answered
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.

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