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# Test: Mathematical Operations - 1

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## 10 Questions MCQ Test Logical Reasoning (LR) and Data Interpretation (DI) | Test: Mathematical Operations - 1

Test: Mathematical Operations - 1 for CAT 2022 is part of Logical Reasoning (LR) and Data Interpretation (DI) preparation. The Test: Mathematical Operations - 1 questions and answers have been prepared according to the CAT exam syllabus.The Test: Mathematical Operations - 1 MCQs are made for CAT 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Mathematical Operations - 1 below.
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Test: Mathematical Operations - 1 - Question 1

### If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and-stands for 'division', then 20 × 8 ÷ 8 - 4 + 2 = ?

Detailed Solution for Test: Mathematical Operations - 1 - Question 1

By the Given data , We have the expression:

20 + 8 - 8 ÷ 4 × 2 = 20 + 8 - 2 × 2 = 20 + 8 - 4 = 24.

Test: Mathematical Operations - 1 - Question 2

### The following equation is incorrect. Which two signs should be interchanged to correct the equation? 1 ÷ 14 x 30 + 20 - 10 = 12

Test: Mathematical Operations - 1 - Question 3

### In a cricket match, five batsmen P, Q, R, S and T scored an average of 36 runs. S Scored 5 more than T; T scored 8 fewer than P; Q scored as many as S and T combined; and Q and R scored 107 between them. How many runs did T score ?

Detailed Solution for Test: Mathematical Operations - 1 - Question 3

Let the runs scored by P, Q, R, S and T be  a, b, c, d and e

From given data,

a + b + c + d + e = 36 x 5 = 180
b + c = 107
Let a = x
e = x - 8
d = x - 3
now 3x - 11 + 107 = 180
3x = 84
x = 28
e's score = 28 - 8 = 20

Test: Mathematical Operations - 1 - Question 4

5x - 6 = 3x - 8

Solve the above equation.

Detailed Solution for Test: Mathematical Operations - 1 - Question 4

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

Test: Mathematical Operations - 1 - Question 5

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 = ?

Detailed Solution for Test: Mathematical Operations - 1 - Question 5

Using Correct Symbols , We have :

Given expression = 30 / 2 + 3 x 6 - 5 = 15 + 18 - 5 = 28

Test: Mathematical Operations - 1 - Question 6

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?

Detailed Solution for Test: Mathematical Operations - 1 - Question 6

Let the least value of the prize = Rs. x

Then the next value of the prize is x + 30 , x + 60, x + 90, ....x + 240.

Given total amount of cash prizes = Rs.1890

--> x + (x + 30) + (x + 60) + (x + 90) + ....+ (x + 240) = 1890

--> 9x + (30 + 60 + 90 + 120 + 150 + 180 + 210 + 240) = 1890

--> 9x + 30(1 + 2 + 3 + 4....+ 8) = 1890

--> 9x + 30(36) = 1890

--> 9x = 810 --> x=90

Hence the least value of the prize x = 90

Test: Mathematical Operations - 1 - Question 7

The last two digits of 2151415?

Detailed Solution for Test: Mathematical Operations - 1 - Question 7

Unit digit of this expression is always 1 as the base ends with 1.

For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit.

i.e, tenth place digit in 2151 is 5 and

tenth place digit in power 415 is 1

And the units digit in the product of 5 x 1 = 5

Therefore, last two digits of 2151415 is 51.

Test: Mathematical Operations - 1 - Question 8

If × means ÷,  - means ×,  ÷ means + and  + means- than (3 - 15 ÷ 19) × 8 + 6 = ?

Detailed Solution for Test: Mathematical Operations - 1 - Question 8

By the given data, we have  the expression :

(3 × 15 + 19) ÷ 8 - 6 = (45 + 19) ÷ 8 - 6 = 64 ÷ 8 - 6 = 8 - 6 = 2

Test: Mathematical Operations - 1 - Question 9

If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 81 x 9 + 10 – 6 ÷ 5 = ?

Test: Mathematical Operations - 1 - Question 10

The value of -4-(-10) is how much greater then the value of -10-(-4) ?

Detailed Solution for Test: Mathematical Operations - 1 - Question 10

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

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

Therefore, 6-(-6) = 6 + 6 = 12

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## Logical Reasoning (LR) and Data Interpretation (DI)

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