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Test: Number System- 1 - SSC CGL MCQ


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

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

In a three digit number the digit in the unit’s place is twice the digit in the ten’s place and 1.5 times the digit in the hundred’s place. If the sum of all the three digits of the number is 13, what is the number?

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

100a + 10b + c
c = 2b → b = c/2
c = 1.5a → a = c/1.5
c/1.5 + c/2 + c = 13
6.5c = 39
c = 6, b = 3, a = 4 ⇒ 436

Test: Number System- 1 - Question 2

In a two digit positive number, the digit at the units place is equal to the square of the digit in ten’s place and the difference between the number and the number obtained by interchanging the digits is 54. What is 40% of the original number?

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

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Test: Number System- 1 - Question 3

If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1:2, what is the original number?

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

Thus, the original number is 63.

Test: Number System- 1 - Question 4

A certain number of two digits is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is _______

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

Test: Number System- 1 - Question 5

The number obtained by interchanging the two digits of a two digit number is less than the original number by 27. If the difference between the two digits of the number is 3, then what is the original number?

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

original number – 10x + y
(10x + y) – (10y + x) = 27
9(x – y) = 27
x – y = 3
All the given options not follow the condition.

Test: Number System- 1 - Question 6

Two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is larger number?

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

2x + 3y = 100 –(i)
3x + 2y = 120 –(ii)
By Solving eqn (i) and (ii)
x = 32, y = 12

Test: Number System- 1 - Question 7

The ratio of the two numbers is 11 : 4 and the H.C.F is 16, then find the sum of the two numbers.

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

Given:

The ratio of the two numbers is 11 : 4.

The H.C.F is 16

Concept used:

(1) For the two numbers in the ratio y : z.

The value of first number = H.C.F × y

The value of first number = H.C.F × z

Calculation:

The value of first number = 16 × 11 = 176

The value of second number = 16 × 4 = 64

The required sum = 176 + 64 = 240

∴ The required answer is 240.

Test: Number System- 1 - Question 8

A number is divided by 2, 3, 4, 5 or 6, reminder in each case is one. But the number is exactly divisible by 7. The number lies between 250 and 350, the sum of digits of the number will be

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

To solve this problem, we need to find a number that satisfies the following conditions:

  1. When divided by 2, 3, 4, 5, or 6, the remainder is 1.
  2. The number is divisible by 7.
  3. The number lies between 250 and 350.

Let's start by finding the least common multiple (LCM) of 2, 3, 4, 5, and 6, which is the smallest number divisible by all of these numbers.

LCM(2, 3, 4, 5, 6) = 60

We need to find a number of the form 7k, where k is an integer, that leaves a remainder of 1 when divided by 60. The numbers in this sequence can be expressed as 60n + 1, where n is an integer.

Now, let's find the first few numbers of the form 60n + 1 that are divisible by 7 and lie between 250 and 350:

  • For n = 4: 60(4) + 1 = 241 (not divisible by 7)
  • For n = 5: 60(5) + 1 = 301 (divisible by 7)

So, the number we're looking for is 301.

Now, let's find the sum of its digits: 3 + 0 + 1 = 4

Therefore, the sum of the digits of the number is 4.

Test: Number System- 1 - Question 9

Sum of three consecutive odd numbers & three consecutive even numbers together is 231. Difference between the smallest odd number and the smallest even number is 11. What is the sum of the largest even number and largest odd number?

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

odd numbers – x-2, x, x+2 ; even numbers – y-2, y, y+2
3x + 3y = 231
x + y = 77
(y – 2) – (x – 2) = 11
y – x = 11
x = 33, y = 44
sum of the largest even number and odd number = 46 + 35 = 81

Test: Number System- 1 - Question 10

Sum of eight consecutive odd numbers is 656. Average of four consecutive even numbers is 87. What is the sum of the largest even number and largest odd number?

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

odd numbers — x-8, x-6, x-4, x-2, x, x+2, x+4, x+6
x-8 + x-6 + x-4 + x-2 + x + x+2 + x+4 + x+6 = 656
8x – 8 =656
x = 83
Even numbers — y-2, y, y+2, y+4
4y + 4 = 87 * 4
y = 86
sum of the largest even number and odd number = 89 + 90 = 179

Test: Number System- 1 - Question 11

The sum of the digits of a two-digit number is 6. If the digits are reversed, the number is decreased by 36. Find the number?

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

a + b = 6
(10a + b) – (10b +a) = 36, a – b = 4
We get a = 5 and b = 1
So number is 51

Test: Number System- 1 - Question 12

If the places of last two-digits of a three digit number are interchanged, a new number greater than the original number by 36 is obtained. What is the difference between the last two digits of that number?

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

let the number be 100a + 10b + c
(100a + 10b +c) – (100a + 10c +b) = 36
b – c = 4

Test: Number System- 1 - Question 13

A number when divided by 143 leaves 31 as remainder. What will be the remainder
when the same number is divided by 13 ?

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

Test: Number System- 1 - Question 14

The numerator of a rational number is 4 less than the denominator. If the numerator is increased by 15 and denominator is decreased by 4, we get 6. Find the rational number?

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

let the fraction is (p-4)/p
now, (p -4 + 15)/(p-4) = 6
we get p = 7
so fraction = 3/7

Test: Number System- 1 - Question 15

When a number is added to 20 percent of the second number, we get 150 percent of the second number. Find the ratio between the first and second number?

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

a + (20/100)*b = (150/100)*b
a:b = 13:10

Test: Number System- 1 - Question 16

If two numbers are each divided by the same divisor, the remainders are respectively 3 and 4. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is

Detailed Solution for Test: Number System- 1 - Question 16

 

Test: Number System- 1 - Question 17

A number gets reduced to its two-third when 24 is subtracted from it. Find oneeighth of the number?

Detailed Solution for Test: Number System- 1 - Question 17

a – 24 = 2a/3
we get a = 72
so one-eighth of the number = 72/8 = 9

Test: Number System- 1 - Question 18

Three numbers are in the ratio 4:3:5. If the difference between thrice the third number and the sum of first and second number is 64. Find the difference between the first and third number?

Detailed Solution for Test: Number System- 1 - Question 18

15x – (7x) = 64, we get x = 8
difference between first and third number = 5x – 4x = x = 8

Test: Number System- 1 - Question 19

One-fifth of a number when subtracted from one – third of the number gives 24. Find the square of the number.

Detailed Solution for Test: Number System- 1 - Question 19

a/3 – a/5 = 24
a = 180, so square = 32400

Test: Number System- 1 - Question 20

25% of a number is 2 times 65% of another number. Find the ratio of the second no to the first number?

Detailed Solution for Test: Number System- 1 - Question 20

(25/100)*a = 2*(65/100)*b
b:a = 5:26

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