simplification Model Questions & Answers, Practice Test for ssc steno grade c d 2024
ssc steno grade c d 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Power, Indices And Surds
Ratio & Proportion
Percentage
Time & Work
Time & Distance
Mensuration
If two factors of $a^4 – 2a^3 – 9a^2$ + 2a + 8 are (a + 1) and (a – 1), then what are the other two factors?
Answer: (b)
Required factor is ($a^2$ – 2a – 8)
Further its factorize by spilt the middle term,
= $a^2$ – 4a + 2a – 8
= a(a – 4) + 2(a – 4)
= (a – 4) (a + 2)
Other two factors are (a + 2) and (a – 4).
Consider the following in respect of the equation y = ${√{(x - 1)^2}}/{x - 1}$
y = 1 if x > 1
2. y = –1 if x < 1
3. y exists for all values of x
Which of the above statements is/are correct?
Answer: (b)
4 = ${√{(x - 1)^2}}/{(x - 1)}$
when x > 1–
4 = ${(x - 1)}/{x - 1}$ = 1
when x < 1–
y = $0/0$ undefined
So, option (c) is correct.
The factor(s) of 5px – 10qy + 2rpx = 4qry is/are
Answer: (b)
Given expression = 5px – 10qy + 2rpx – 4qry
= (5px + 2rpx) – (10qy + 4qry)
= px(5 + 2r) – 2qy(5 + 2r)
= (5 + 2r)(px – 2qy)
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