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 H is the harmonic mean of P and Q, then the value of $H/P + H/Q$ is
Answer: (a)
As, H is H.M. of P and Q.
∴ H = ${2P. Q}/{P + Q}$
Now, $H/P + H/Q = {(2P + 2Q)}/{P + Q} = {2(P + Q)}/{P + Q}$ = 2
$(64)^2 ÷ ^3√{32768}$ = ?
Answer: (c)
$? = (64)^2 ÷ ^3$$√{32 × 32 × 32}$
or ? = ${64×64}/32$=128
If a + b + c = 6 and $a^2 + b^2 + c^2$ = 26, then what is ab + bc + ca equal to?
Answer: (d)
∵ $(a + b + c)^2 = a^2 + b^2 + c^2$ + 2(ab + bc + ca)
$(6)^2$ = 26 + 2(ab + bc + ca)
⇒2(ab + bc + ca) = 10
⇒ab + bc + ca = 5
Express 1.272727..... $1.\ov27$ = in the form $p/q$ where p and q are integers and q ≠ 0.
Answer: (a)
x = 1.272727.......... Since two digits are repeating, we multiply x by 100 to get
100x = 127.2727 ........
So, 100x = 126 + 1.272727......... = 126 + x
Therefore, 100x – x = 126, ⇒ 99x = 126 ⇒ x =$126/99=14/11$
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