simplification Model Questions & Answers, Practice Test for ibps rrb po officer scale 1 prelims 2024
ibps rrb po officer scale 1 prelims 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Lcm & Hcf
Simplification
Percentage
Time & Work
Time & Distance
If $(x^8 + 1/{x^8})$ = 47, what is the value of $(x^6 + 1/{x^6})$ ?
Answer: (b)
$x^8 + 1/{x^8}$ = 47
$(x^4 + 1/{x^4})^2 = x^8 + 1/{x^8} + 2$
⇒$x^4 + 1/{x^4} = √{47 + 2} = 7$
$(x^2 + 1/{x^2})^2 = x^4 + 1/{x^4} + 2$
⇒$x^2 + 1/{x^2} = √{7 + 2}$ = 3
⇒$(x^2 + 1/{x^2})^3 = x^6 = 1/{x^6} + 3 (x^2 + 1/{x^2})$
⇒$x^6 + 1/{x^6} = (3)^3$ - 3 (3) = 18
1896 ÷ 29 + 445 ≈ ?
Answer: (b)
? = 1896 ÷ 29 + 445
= $1896/29$ + 445
= 65.4 + 445 = 510.4
≈ 510
What is ${(x^2 + y^2)(x - y) - (x - y)^3}/{x^2 y - xy^2}$ equal to?
Answer: (a)
${(x^2 + y^2)(x - y) - (x - y)^3}/{x^2y - xy^2}$
= ${x^3 + xy^2 - x^2y - y^3 - (x^3 - y^3 - 3x^2y + 3xy^2)}/{x^2y - xy^2}$
= ${x^3 + xy^2 - x^2y - y^3 - x^3 + y^3 + 3x^2y - 3xy^2}/{x^2y - xy^2}$
= ${2x^2y - 2xy^2}/{x^2y - xy^2} = {2(x^2y - xy^2)}/{x^2y - xy^2}$ = 2
Let S be a set of all even integers. If the operations
I. addition
II. subtraction
III. multiplication
IV. division
are applied to any pair of numbers from S, then for which operations is the resulting number in S?
Answer: (a)
Let S = {... – 6, – 4, – 2, 0, 2, 4, 6, ...}
I. Now, 2 + (–2) = 0 ∈ S, it is applied.
II. Now, – 2 –2 = –4 ∈ S, it is applied.
III. Now, – 4 × (4) = –16 ∈ S, it is applied.
IV. Now, –4 ÷ 4 = –1 ∉ S, it is not applied.
$(84)^2$ ÷ $√{?}$ = 168
Answer: (d)
$(84)^2/√{?}$ =168
$√{?}$ = ${84 × 84}/168 $ =42
⇒ ? = $(42)^2$ = 1764
ibps rrb po officer scale 1 prelims 2024 IMPORTANT QUESTION AND ANSWERS
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100+ Percentage Aptitude Problems For IBPS RRB PO Prelims »
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150+ LCM & HCF Aptitude Problems For IBPS RRB PO Prelims »
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Number System Aptitude Problems For IBPS RRB PO Prelims »
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150+ Simplification Questions for IBPS RRB PO Exam 2024 »
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Top Time & Work Aptitude Problems For IBPS RRB PO Prelims »
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Time & Distance Aptitude Problems For IBPS RRB PO Prelims »
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