Lcm And Hcf Questions Answers Pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024

Question :6

If the HCF of ($x^2$ + x – 12) and (2$x^2$ – kx – 9) is (x – k), then what is the value of k ?

Answer: (a)

HCF of $x^2 + x – 12 and 2x^2$ – kx – 9 is (x – k),

then x = k will be the factor of $2x^2$ – kx – 9

∴ $2k^2 – k^2$ – 9 = 0

⇒$k^2$ – 9 = 0

k = ± 3

and factor of $x^2$ + x – 12 are (x + 4) (x – 3).

Hence, the value of k is 3.

Question :7

Consider the following statements :

Answer: (c)

Putting any random number

eg a = 6, b = 2, c = 3 and d = 6 in 1 statement

it can be verified that this statement is correct and statement 2 is incorrect.

Question :8

The HCF and LCM of two natural numbers are 12 and 72, respectively. What is the difference between the two numbers, if one of the numbers is 24 ?

Answer: (c)

Second number = ${LCM × HCF}/{\text"First number"} = {72 × 12}/{24}$ = 36

∴ Difference between two numbers = 36 – 24 = 12

Question :9

21 mango trees, 42 apple trees and 56 orange trees have to be planted in rows such that each row contains the same number of trees of one variety only. What is the minimum number of rows in which the above trees may be planted?

Answer: (b)

Minimum number of rows = ${21}/7 + {42}/7 + {56}/7$ = 17.

Question :10

Consider the following statements:
I. $1/{22}$ cannot be written as a terminating decimal.
II. $2/{15}$ can be written as a terminating decimal.
III. $1/{16}$ can be written as a terminating decimal.
Which of the statements given above is/are correct?

Answer: (b)

$1/{22}$ = 0.04545...

$2/{15}$ 0.1333...

$1/{16}$ 0.0625

$1/{16}$ can be written as terminating decimal.

ibps rrb so officer sclae 2 3 single exam 2024 IMPORTANT QUESTION AND ANSWERS

Recently Added Subject & Categories For All Competitive Exams

Alphabet and Number Arrangement Aptitude Model Test SSC

Alphabet and Number Arrangement objective Questions with detailed answers, PDF. Aptitude 50+ Practice MCQ exercises for SSC, all competitive, Bank Exams

22-Jul-2024 by Careericons

Continue Reading »

SSC Direction and Distance Sense MCQ Practice Exercise

Top Direction and Distance Sense objective questions with answers, PDF for SSC. 100+ Aptitude practice exercises for all Bank, Govt, and Competitive Exams

22-Jul-2024 by Careericons

Continue Reading »

100+ Blood Relation Aptitude Test Online, PDF for SSC

Top Blood Relation objective questions with answers, download PDF for SSC. 100+ Aptitude online practice exercises for all Bank, Govt, and Competitive Exams

22-Jul-2024 by Careericons

Continue Reading »

Top 100+ English Jumbled Sentences MCQ with PDF for RBI

Very important Jumbled Sentences questions with answers PDF for RBI. 100+ General English practice exercises for all Bank, Govt, and Competitive Exams

19-Jul-2024 by Careericons

Continue Reading »