Lcm And Hcf Questions Answers Pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024
ibps rrb so officer sclae 2 3 single exam 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Lcm & Hcf
Ratio & Proportion
Percentage
Time & Work
Mensuration
Advance Math
Trigonometric Ratios & Identities
Average
Profit & Loss
Alligation & Mixtures
Compound Interest
Linear Equations
Quadratic Equations
Probability
Permutations & Combination
The product of two non-zero expressions is (x + y + z)$p^3$. If their HCF is $p^2$, then their LCM is
Answer: (d)
We are given that HCF = $p^2$ and the product of two non-zero expressions = $(x + y + z)p^3$
We know that HCF × LCM = Product of two numbers
Therefore,
$p^2 × LCM = (x + y + z)p^3$⇒LCM
= ${(x + y + z)p^3}/{p^2}$ = (x + y + z) p
What is 27 × 1.$\ov{2} × 5.526\ov{2} × 0.\ov{6}$ equal to?
Answer: (d)
27 × 1.$\ov2$ × 5.526$\ov2$ × 0.$\ov6$ = 27 × 1 $2/9 × 5{4736}/{9000} × 6/9$
= 27 × ${11}/9 × {49736}/{9000} × 6/9$
= ${11 × 49736 × 2}/{9000} = {1094192}/{9000}$ = 121.577
What is the least number which when divided by 42, 72 and 84 leaves the remainders 25, 55 and 67, respectively?
Answer: (d)
LCM of 42, 72 and 84 = 504
Difference between divisor and remainder
= 25 – 42 = 55 – 72 = 67 – 84
= – 17
Required number = 504 – 17 = 487.
The HCF of ($x^4 – y^4$) and ($x^6 – y^6$) is
Answer: (c)
Let $f_1(x) = (x^4 – y^4 ) = [(x^2)^2 – (y^2)^2]$
= $(x^2 – y^2 ) (x^2 + y^2)$
= (x – y) (x + y) ($x^2 + y^2$)
and $f_2(x) = (x^6 – y^6 ) = (x^3)^2 – (y^3)^2$
= ($x^3 + y^3) (x^3 – y^3$)
= (x + y) ($x^2 – xy + y^2) (x – y) (x^2 + xy + y^2$)
= (x – y) (x + y) ($x^2 – xy + y^2 ) (x^2 + xy + y^2$)
∴ HCF of $[f_1 (x), f_2 (x)] = (x – y) (x + y) = x^2 – y^2$
There are two numbers p and q such that their HCF is 1. Which of the following statements are correct?
Answer: (d)
All the statement are true example for each statement.
1. take number 2 and 3
2. take number 7 and 25
3. take number 25 and 16 and many more.
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