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If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 81 x 9 + 10 – 6 ÷ 5 = ?
  • a)
    46
  • b)
    -46
  • c)
    47
  • d)
    -45
Correct answer is option 'B'. Can you explain this answer?

Arya Roy answered
After substituting the signs as given in the question, the equation becomes
81 ÷ 9 -10 x 6 + 5
Applying BODMAS rule
9 - 10 x 6 + 5
9 - 60 + 5
9 - 55
= -46

The last two digits of 2151415?
  • a)
    81
  • b)
    61
  • c)
    91
  • d)
    51
Correct answer is option 'D'. Can you explain this answer?

Sushant Iyer answered
The last two digits of the number 2151415 can be determined by finding the remainder when the number is divided by 100. This is because the remainder when dividing by 100 gives us the last two digits of a number.

To find the remainder, we can use the concept of modular arithmetic. The modulus is the number we divide by, which in this case is 100. We can take the modulus of a number by taking the remainder when dividing the number by the modulus.

Let's break down the given number and find its remainder when divided by 100:

2151415 ÷ 100 = 21514 with a remainder of 15

Therefore, the remainder is 15. This means that the last two digits of the number 2151415 are 15.

However, the options given are in the form of two-digit numbers. So, we need to find the remainder when 15 is divided by 100 to get a two-digit number.

15 ÷ 100 = 0 with a remainder of 15

Therefore, the remainder is 15. This means that the last two digits of the number 2151415 are 15. However, 15 is a one-digit number, so we need to add a zero before it to make it a two-digit number.

Hence, the correct answer is option 'D', 51.

A sum of Rs.1890 has to be used to give 9 prizes to the customers of a super market for their overall academic purchases. If each prize is Rs.30 less than its preceding price, what is the least value of the price?
  • a)
    90
  • b)
    95
  • c)
    85
  • d)
    80
Correct answer is option 'A'. Can you explain this answer?

Shivam Nair answered
Given:
Total amount = Rs. 1890
Number of prizes = 9
Each prize is Rs. 30 less than its preceding price

To find:
The least value of the price

Solution:
Let the first prize be x
Then, the second prize = x - 30
Third prize = x - 60
Fourth prize = x - 90
Fifth prize = x - 120
Sixth prize = x - 150
Seventh prize = x - 180
Eighth prize = x - 210
Ninth prize = x - 240

Total amount = x + (x - 30) + (x - 60) + (x - 90) + (x - 120) + (x - 150) + (x - 180) + (x - 210) + (x - 240)
= 9x - (30 + 60 + 90 + 120 + 150 + 180 + 210 + 240)
= 9x - 1260

As per the question, total amount = Rs. 1890
9x - 1260 = 1890
9x = 3150
x = 350

Therefore, the first prize is Rs. 350
And the least value of the price is Rs. 350 - Rs. 240 = Rs. 90

Hence, the correct option is (a) 90.

The value of -4-(-10) is how much greater then the value of -10-(-4) ?
  • a)
    10
  • b)
    6
  • c)
    12
  • d)
    0
Correct answer is option 'C'. Can you explain this answer?

Calculation:

-4 - (-10) = -4 + 10 = 6
-10 - (-4) = -10 + 4 = -6

Difference = 6 - (-6) = 6 + 6 = 12

Explanation:

To calculate the value of -4 - (-10), we first need to simplify the expression by adding the opposite of -10, which is 10. So, -4 - (-10) becomes -4 + 10, which is equal to 6.

Similarly, to calculate the value of -10 - (-4), we need to add the opposite of -4, which is 4. So, -10 - (-4) becomes -10 + 4, which is equal to -6.

Now, to find out how much greater the value of -4 - (-10) is than the value of -10 - (-4), we need to calculate their difference. The difference is calculated by subtracting the second value from the first value. So, the difference between 6 and -6 is 6 - (-6) which is equal to 12.

Therefore, the value of -4 - (-10) is 12 greater than the value of -10 - (-4). The answer is option C (12).

(5068 / 28) x 4 = ?
  • a)
    724
  • b)
    625
  • c)
    214
  • d)
    745
Correct answer is option 'A'. Can you explain this answer?

Avik Mehta answered
Given: 5068 / 37 x 4

To solve this expression, we need to follow the order of operations or BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) rule.

Step 1: Perform division 5068 / 37 = 137.081081

Step 2: Multiply the result from step 1 with 4

137.081081 x 4 = 548.324324

Step 3: Round off the answer to the nearest whole number

The answer is 548 (as it is the nearest whole number to 548.324324)

Therefore, the correct answer is option A) 548.

If Q means 'add to', J means 'multiply by', T means 'substract from' and K means 'divide by' then 30 K 2 Q 3 J 6 T 5 = ? 
  • a)
    18
  • b)
    28
  • c)
    31
  • d)
    103
Correct answer is option 'B'. Can you explain this answer?

Geetika Saha answered
Understanding the Symbols
To solve the expression **30 K 2 Q 3 J 6 T 5**, we first need to decode the operations represented by each letter:
- **K** means divide by
- **Q** means add to
- **J** means multiply by
- **T** means subtract from

Step-by-Step Calculation
Now, let's apply these operations step by step:
1. **30 K 2**
- This means **30 divided by 2**.
- Calculation:
\[
30 \div 2 = 15
\]
2. **15 Q 3**
- This means **15 add to 3**.
- Calculation:
\[
15 + 3 = 18
\]
3. **18 J 6**
- This means **18 multiply by 6**.
- Calculation:
\[
18 \times 6 = 108
\]
4. **108 T 5**
- This means **108 subtract from 5**.
- Calculation:
\[
108 - 5 = 103
\]

Final Result
After performing all operations, we arrive at the final result:
\[
30 K 2 Q 3 J 6 T 5 = 103
\]
Thus, the correct option is **d) 103**. However, it seems there may be a discrepancy in the question claiming **option 'B' (28)**. Please check the question for any potential errors in the interpretation of the symbols or the operations.

5x - 6 = 3x - 8
Solve the above equation.
  • a)
    2
  • b)
    -1
  • c)
    -2
  • d)
    1
Correct answer is option 'B'. Can you explain this answer?

Given equation: 5x - 6 = 3x - 8

To solve this equation, we need to simplify it by bringing all the x terms to one side and all the constants to the other side.

Step 1: Move the constant term to the right side by adding 6 to both sides of the equation.

5x - 6 + 6 = 3x - 8 + 6

5x = 3x - 2

Step 2: Move the 3x term to the left side by subtracting 3x from both sides of the equation.

5x - 3x = -2

2x = -2

Step 3: Solve for x by dividing both sides of the equation by 2.

x = -1

Therefore, the solution to the given equation is x = -1. This corresponds to option B.

If "–" means "added to", "+" means "divided by", "÷" means "multiplied by", "x" means "subtracted from", then 13 + 12 x 9 ÷ 3 – 6 = ?
  • a)
    –117/11
  • b)
     117/11
  • c)
    –237/12
  • d)
    –239/12
Correct answer is option 'D'. Can you explain this answer?

Aman Unni answered
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In a group of buffaloes and ducks the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group? 
  • a)
    6
  • b)
    18
  • c)
    12
  • d)
    24
Correct answer is option 'C'. Can you explain this answer?

Bhaskar Singh answered
Let's assume that the number of buffaloes in the group is 'x' and the number of ducks is 'y'.

According to the given information, the total number of legs in the group is 24 more than twice the number of heads.

1. Identifying the number of heads:
The number of heads in the group is the sum of the number of buffaloes and the number of ducks. So, the number of heads = x + y.

2. Identifying the number of legs:
Each buffalo has 4 legs and each duck has 2 legs. Therefore, the total number of legs in the group can be calculated as follows:
Number of legs = (4 * x) + (2 * y).

3. Formulating the equation:
According to the given information, the total number of legs is 24 more than twice the number of heads. So, we can write the equation as:
(4 * x) + (2 * y) = 2 * (x + y) + 24.

4. Solving the equation:
Simplifying the equation, we get:
4x + 2y = 2x + 2y + 24.
2x = 24.
x = 12.

Hence, the number of buffaloes in the group is 12. Therefore, option C is the correct answer.

Find out the two signs to be interchanged for making following equation correct
5 + 3 x 8 - 12 / 4 =3
  • a)
    + and -
  • b)
    - and /
  • c)
    + and x
  • d)
    + and /
Correct answer is option 'B'. Can you explain this answer?

Madhavan Jain answered
Understanding the Equation
The original equation is:
5 + 3 x 8 - 12 / 4 = 3
Let's evaluate the left side using the standard order of operations (PEMDAS/BODMAS):
1. Multiplication and Division First:
- 3 x 8 = 24
- 12 / 4 = 3
2. Now Substitute Back:
- 5 + 24 - 3
3. Finally, Perform Addition and Subtraction:
- 5 + 24 = 29
- 29 - 3 = 26
The left side equals 26, not 3.
Identifying the Signs to Interchange
To correct the equation, we need to interchange two signs. The options given are:
- a) + and -
- b) - and /
- c) + and x
- d) - and /
We will evaluate each option to find which one makes the equation true.
Testing Option B: Interchanging - and /
If we interchange the '-' and '/' in the original equation, we get:
5 + 3 x 8 / 12 - 4
Now, evaluate this:
1. Multiplication and Division:
- 3 x 8 = 24
- 24 / 12 = 2
2. Substituting Back:
- 5 + 2 - 4
3. Final Calculation:
- 5 + 2 = 7
- 7 - 4 = 3
Now, the left side equals 3, which matches the right side of the equation.
Conclusion
Thus, by interchanging the signs '-' and '/', we have made the equation correct. Therefore, the correct answer is option 'B'.

If × means ÷,  - means ×,  ÷ means + and  + means- than (3 - 15 ÷ 19) × 8 + 6 = ?
  • a)
    8
  • b)
    4
  • c)
    2
  • d)
    -1
Correct answer is option 'C'. Can you explain this answer?

Vivek Patel answered
By the given data, we have  the expression :
(3 × 15 + 19) ÷ 8 - 6 = (45 + 19) ÷ 8 - 6 = 64 ÷ 8 - 6 = 8 - 6 = 2

In the following question, correct the equation by interchanging two signs.
6 + 8 ÷ 4 – 4 = 8
  • a)
    ÷ and =
  • b)
    ÷ and +
  • c)
    ÷ and –
  • d)
    + and –
Correct answer is option 'D'. Can you explain this answer?

Manisha Sen answered
There is no equation given in the question. It is just two numbers, 6 and 8. Therefore, there are no signs to interchange and no equation to correct.

The following equation is incorrect. Which two signs should be interchanged to correct the equation? 15 x 12 + 40 ÷ 40 - 6 = 21
  • a)
    + and x
  • b)
    + and ÷
  • c)
    - and +
  • d)
    ÷ and x
Correct answer is option 'A'. Can you explain this answer?

Raksha Reddy answered
To correct the equation, the signs that should be interchanged are the multiplication sign "x" and the equal sign "=".

The correct equation should be: 15 + 12 = 40

What is x squared plus x squared?
  • a)
    4x
  • b)
    2x2
  • c)
    x4
  • d)
    2x
Correct answer is option 'B'. Can you explain this answer?

Vivek Patel answered
In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms. 
Now x2 + x2 = 2x2
Hence, x-squared plus x-squared is equal to 2 times x squared.

Chapter doubts & questions for Mathematical Operations - Reasoning Ability for Banking Exams 2024 is part of Bank Exams exam preparation. The chapters have been prepared according to the Bank Exams exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Bank Exams 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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