Number System - MCQ 5

# Number System - MCQ 5

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## 20 Questions MCQ Test Quantitative Aptitude for Competitive Examinations | Number System - MCQ 5

Number System - MCQ 5 for Quant 2022 is part of Quantitative Aptitude for Competitive Examinations preparation. The Number System - MCQ 5 questions and answers have been prepared according to the Quant exam syllabus.The Number System - MCQ 5 MCQs are made for Quant 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Number System - MCQ 5 below.
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Number System - MCQ 5 - Question 1

### What is the number if 60% of it added to 60 gives the number itself ?

Detailed Solution for Number System - MCQ 5 - Question 1

From ans…150
40% of numb = 60
60% of 150 = 90
90+60 = 150

Number System - MCQ 5 - Question 2

### (6084)1/2 = ?

Number System - MCQ 5 - Question 3

### 9/16 of a number is 51 greater than 50% of the number, then the number is

Detailed Solution for Number System - MCQ 5 - Question 3

(9x/16)-(x/2) = 51
X = 51*16 = 816

Number System - MCQ 5 - Question 4

The sum of the number and its square is 1406. What is the number ?

Detailed Solution for Number System - MCQ 5 - Question 4

See the last digit 06…..go for 7
Last digit ..37+(37*37) = 7+49 = 16
So ans: 37

Number System - MCQ 5 - Question 5

The number is 0.01 is how many times as great as the number (0.0001)2 ?

Detailed Solution for Number System - MCQ 5 - Question 5

0.01 = 10-2
(0.0001)2 = 10-8
10-2/10-8 = 106

Number System - MCQ 5 - Question 6

In a bag there are coins of 25 paise and 10 paise in the ratio of 5:16. If the bag contains Rs.16 then the number of 10 paise coin is

Detailed Solution for Number System - MCQ 5 - Question 6

25*5+10*16 = 285
Rs 16 = 1600
No of 10p = 1600*16/285 = 89.82 = 90

Number System - MCQ 5 - Question 7

a+b = c and abc = 30, then what is the value of a3 + b3 – c3 ?

Detailed Solution for Number System - MCQ 5 - Question 7

a3 + b3 – c3 = -3(abc) = -3(30) = -90

Number System - MCQ 5 - Question 8

a2 + b2 + c2 = ab + bc + ca then the value of (a+b)/(b+c) is

Detailed Solution for Number System - MCQ 5 - Question 8

Equation will be satisfied when a=b=c=1
(a+b)/c = (1+1)/(1+1) = 2/2 = 1

Number System - MCQ 5 - Question 9

(a-b) = 1, (b-c) = 2 and (c-a) = 3 then the value of (a3 +b3 +c3 -3abc)/(a+b+c) is

Detailed Solution for Number System - MCQ 5 - Question 9

(a3 +b3 +c3 -3abc)/(a+b+c) =1/2[(a-b) 2+(b-c)2 +(c-a)2] = ½(1+4+9) = 14/2 = 7

Number System - MCQ 5 - Question 10

If *=+, /=-, + = *, – = / then 43*561+500-100/10 = ?

Detailed Solution for Number System - MCQ 5 - Question 10

43*561+500-100/10 = 43+561*500/100-10 = 43+561*5-10
= 43+2805-10 =2838

Number System - MCQ 5 - Question 11

Two third of a positive number and 25/216 of its reciprocal are equal.The number is

Detailed Solution for Number System - MCQ 5 - Question 11

(2/3)x = (25/216)(1/x)
X2 = (25×3)/(216×2) = 25/144
X = 5/12

Number System - MCQ 5 - Question 12

If 2(1/2) is added to a number and the sum multiplied by 4(1/2)and 3 is added to the product and then divide the sum by 1(1/5), the quotient becomes 25 .What is the number ?

Detailed Solution for Number System - MCQ 5 - Question 12

{4(1/2)[X+2(1/2)]+3}/[1(1/5)] = 25
(9X/2)+(45/4)+3 = 25×(6/5)
9X/2 =63/4 X=7/2 or 3(1/2)

Number System - MCQ 5 - Question 13

In a division sum ,the divisor is 3 times the quotient and 6 times the remainder.If the remainder is 2 then the dividend is

Detailed Solution for Number System - MCQ 5 - Question 13

Divident = Quotient × Divisor +Remainder
Divisor = 6×2 = 12
Q = 12/3 = 4
Divident = 4×12+3 =48+2 = 50

Number System - MCQ 5 - Question 14

The sum of two number is 24.The greatest product of these two numbers can be

Detailed Solution for Number System - MCQ 5 - Question 14

X + Y = 24
Greatest Product then x and y must be equal
Possibility of getting 24 12+12= 24
12×12 = 144

Number System - MCQ 5 - Question 15

Twenty times a positive integer is less than its square by 96.What is the integer ?

Detailed Solution for Number System - MCQ 5 - Question 15

X2 – 20X = 96
X2-20X-96 = 0
(X-24)(X+4) = 0
X= 24, -4
positive integer = 24

Number System - MCQ 5 - Question 16

If (a-b) 3, (b-c) = 5 and (c-a) = 1 then the value of (a3+b3+c3- 3abc)/(a+b+c)

Number System - MCQ 5 - Question 17

The product of the 2 consecutive odd number is 6723.What is the greater number ?

Detailed Solution for Number System - MCQ 5 - Question 17

X ×(X+2) = 6723
X2 + 2X = 6723
X2+2X-6723 = 0
(X – 81)(X+83) = 0
Greatest number = 83

Number System - MCQ 5 - Question 18

The sum of three number is 264. If the first number be twice the second and third number be one third of the first then the second number is

Detailed Solution for Number System - MCQ 5 - Question 18

2X+X+(2X/3) = 264
(6X+3X+2X)/3 = 264
11X/3 = 264
X= (264×3)/11 = 72

Number System - MCQ 5 - Question 19

If the number obtained on interchanging the digits of a 2 digit number is 18 more than the original number and the sum of the digit is 8.Then what is the original number?

Detailed Solution for Number System - MCQ 5 - Question 19

Unit digit= x ; Ten’s digit = (8-x)
[10(8-x)+x] – [10x+(8-x)] = 18
80-10x+x-10x-8+x = 18
-18x = 18-80+8
18x = 54
X = 54/18 = 3
8 – x = 8 – 3 = 5
Hence the number is 35

Number System - MCQ 5 - Question 20

The sum of three consecutive multiple of 4 is 72 .What is the largest number ?

Detailed Solution for Number System - MCQ 5 - Question 20

4x+(4x+4)+(4x+8) = 72
12x+12 = 72
X=(72-12)/12
X=5
Largest number = 4(5)+8 = 20+8 = 28

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