MCQ: Number System - 1 - SSC CGL MCQ

# MCQ: Number System - 1 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Number System - 1

MCQ: Number System - 1 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Number System - 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Number System - 1 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Number System - 1 below.
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MCQ: Number System - 1 - Question 1

### The last digit of the number obtained by multiplying the numbers 41 x 42 x 43 x 44 x 45 x 46 x 47 x 48 x 49 will be ?

Detailed Solution for MCQ: Number System - 1 - Question 1

To find the last digit of the product 41×42×43×44×45×46×47×48×49, we only need to consider the last digits of each number:

• 41 → last digit is 1
• 42 → last digit is 2
• 43 → last digit is 3
• 44 → last digit is 4
• 45 → last digit is 5
• 46 → last digit is 6
• 47 → last digit is 7
• 48 → last digit is 8
• 49 → last digit is 9

Now we multiply these last digits together and focus on the last digit of the result:

1×2×3×4×5×6×7×8×9

Since 45 is in the product and its last digit is 5, and any number multiplied by 5 results in a number ending in 0 (provided there is another even number in the multiplication to make the product divisible by 10), we notice there are multiple even numbers (42, 44, 46, 48).

Thus, the product will definitely end in 0.

Therefore, the last digit of the number obtained by multiplying these numbers is: 0

MCQ: Number System - 1 - Question 2

### Find the product of place value and face value of 5 in 65231

Detailed Solution for MCQ: Number System - 1 - Question 2

Place value of 5 in 65231 = 5 x 1000
= 5000
Face value = 5
required product = 5000 x 5 = 25000

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MCQ: Number System - 1 - Question 3

### If 1x5x01 is divisible by 11, then the value of x is

Detailed Solution for MCQ: Number System - 1 - Question 3

When a number is divisible by 11, then sum of numbers at even place - sum of numbers at odd place = 0 or divisible by 11.
( x + x + 1 ) - ( 1+ 5 + 0 ) = 11
⇒ 2x - 5 = 11
∴ x = 8

MCQ: Number System - 1 - Question 4

The sum of the digits of a two digit number is 10, when the number is reversed, the number increases by 72.Find the number.

Detailed Solution for MCQ: Number System - 1 - Question 4

By checking options
91-19=72
Or
Let the number be xy
So 10x + y = 10 ..... (i)
When the number is reversed the new number is yx
So (10y + 10 ) - ( 10x +y ) = 72 ....(ii)
From Eqs. (i) & (ii)
x = 1 and y =9
∴number = 19

MCQ: Number System - 1 - Question 5

The units digit in the product ( 784 x 618 x 917 x 463 ) is

Detailed Solution for MCQ: Number System - 1 - Question 5

Units digit in the given product = Units digit of 4 x 8 x 7 x 3
= Units digit of 672
= 2

MCQ: Number System - 1 - Question 6

The pair of numbers which are relatively prime to each other is

Detailed Solution for MCQ: Number System - 1 - Question 6

92 and 85 are coprime numbers because their HCF is 1.

MCQ: Number System - 1 - Question 7

Find the sum of place and face values of 8 in 43836

Detailed Solution for MCQ: Number System - 1 - Question 7

Place value of 8 = 800
Face value of 8 = 8
∴ required sum = 800 + 8

MCQ: Number System - 1 - Question 8

Find the dividend when divisor is 13, quotient is 30 and remainder is 12

Detailed Solution for MCQ: Number System - 1 - Question 8

dividend = divisor x quotient + remainder
= ( 13 x 30) + 12
= 390 + 12
= 402

MCQ: Number System - 1 - Question 9

The product of a number and the first whole number is equal to

Detailed Solution for MCQ: Number System - 1 - Question 9

First whole number is 0 and when any number is multiplied with zero, then result is zero.

MCQ: Number System - 1 - Question 10

When 1/7 of the number is subtracted from the number itself, it gives the same value as the sum of all the angles of a triangle. What is the number ?

Detailed Solution for MCQ: Number System - 1 - Question 10

Let number be the x.
According to the equation , x - x/7 = 180
⇒ 6x/7 = 180
∴ x = 210

MCQ: Number System - 1 - Question 11

The number of all prime numbers less than 40 is ...

Detailed Solution for MCQ: Number System - 1 - Question 11

Prime number less than 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
∴ The number of all prime numbers less than 40 = 12.

MCQ: Number System - 1 - Question 12

The sum of 4 consecutive even number is 284. What would be the smallest number ?

Detailed Solution for MCQ: Number System - 1 - Question 12

Let four consecutive even numbers are x, x+2, x+4, x+6.
According to the question
⇒ x + x+2 + x+4 + x+6 = 284
⇒ 4x + 12 = 284
⇒ 4x = 272
∴ x = 272 / 4 = 68

MCQ: Number System - 1 - Question 13

The number of prime numbers between 0 and 50 is

Detailed Solution for MCQ: Number System - 1 - Question 13

prime numbers between 0 and 50 are 2 3 5 7 11 13 17 19 23 29 31 37 41 43 and 47
∴ required number of prime number is 15

MCQ: Number System - 1 - Question 14

The sum of the digits of two-digit number is 14 and the difference between the two digits number is 2. What is the product of the two digits of the two-digit number ?

Detailed Solution for MCQ: Number System - 1 - Question 14

Let be the ten's digit be x and unit's digit be y.
So the two digit number = 10x + y ( where x > y )
According to question
x + y = 14 ....(i)
x - y = 2 ....(ii)

Solving Eqs. (i) and (ii), we get
x = 8 and y = 6
∴ Required product = 8 x 6 = 48

MCQ: Number System - 1 - Question 15

How many rational numbers are there between 1 and 1000 ?

Detailed Solution for MCQ: Number System - 1 - Question 15

There can be infinite number of rational numbers between 1 and 1000.

## Quantitative Aptitude for SSC CGL

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests