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
What is the value of k for which the HCF of $2x^2$ + kx – 12 and $x^2$ + x – 2k – 2 is (x + 4) ?
Answer: (c)
(x + 4) is HCF, so it will be common in both expression.
x = – 4 will make each one zero.
∴ 2 $(– 4)^2$ + k (– 4) – 12 = 0
and $(– 4)^2$ + (– 4) – 2k – 2 = 0
⇒32 – 12 = 4k
and 16 – 6 = 2k
∴ k = 5
What is the HCF of 3.0, 1.2 and 0.06 ?
Answer: (a)
Multiply by 100
3.0 = 300
1 . 2 = 120
0.06 = 6
Now, HCF of (300, 120, 6) = 6
So, HCF (3.0, 1.2, 0.06) = 0.06
What is the value of 0.00$\ov{7} + 17.\ov{83} + 310.020\ov{2}$?
Answer: (a)
0.00$\ov7$ + 17.$\ov{83}$ + 310.020$\ov2$
= $7/{900} + {1783 - 17}/{99} + {3100202 - 310020}/{9000}$
= $7/{900} + {1766}/{99} + {2790182}/{9000}$
= ${770 + 1766000 + 30692002}/{99000}$
= ${32458772}/{99000}$ = 327.866$\ov38$
Three planets revolve round the Sun once in 200, 250 and 300 days, respectively in their own orbits. When do they all come relatively to the same position as at a certain point of time in their orbits?
Answer: (c)
Given that, three planets revolves the Sun once in 200, 250, 300 days,.
∴ Required time = LCM of (200, 250, 300) = 3000 days
Now, after 3000 days they all come relatively to the same position as at a certain point of time in their orbits.
The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3 is
Answer: (a)
We find out the LCM of given numbers.
∴ LCM (5, 6, 7, 8) = LCM (5, 2 × 3, 7, 2 × 4)
= 2 × 5 × 3 × 7 × 4 = 840
∴ Required number = 840 + 3 = 843
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