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
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.
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.
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
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.
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.
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