Simplification MCQ Question with Details Answer
Q1. 2.002 + 7.9 {(2.8 – 6.3 (3.6 – 1.5) + 15.6)}
(a) 2.002
(b) 4.2845
(c) 4.0843
(d) 42.845
Answer: (d) 42.845 Solution: 2.002 + 7.9 {(2.8 – 6.3 (3.6 – 1.5) + 15.6)} = 2.002 + 7.9 (2.8 – 6.3 × 2.1 + 15.6) = 2.002 + 7.9 (2.8 – 13.23 + 15.6) = 2.002 + 7.9 × 15.17 = 2.002 + 40.843 = 42.845 |
Q2. The value of 3÷[(8−5)÷{(4−2)+(2+813)}]
(a) 1517
(b) 1317
(c) 1519
(d) 1319
Answer: (b) Solution: 3÷[(8−5)÷{(4−2)÷(2+813)}] =3÷[3÷{2÷3413}] =3÷[3÷1317]=3÷3×1713 =3×133×17=1317 |
Q3. 9−129of3311÷517of79=?
(a) 54
(b) 8
(c) 83281
(d) 9
Answer: (b) 8 Solution: 9−129of3311÷517of79 =9−119of3611×1367×79 =9−4×14=8 |
Q4. 777.07 + 77.77 + 0.77 + 7.07 + 7 + 77 = ?
(a) 946.78
(b) 946.68
(c) 964.68
(d) 946.86
Answer: (c) 964.68 Solution: |
Q5. Find the value of 99917+99927+99937+99947+99957+99967
(a) 5997
(b) 5979
(c) 5994
(d) 6997
Answer: (a) Solution: 99917+99927+99937+99947+99957+99967 =999+17+999+27+999+37+999+47+999+57+999+67 6×999+1+2+3+4+5+67=5994+3=5997 |
Q6. Find the value of 13+115+135+163+199
(a) 1011
(b) 911
(c) 511
(d) 711
Answer: (c) Solution: 13+115+135+163+199 =11.3+13.5+15.7+17.9+19.11 =12(1−111)=511
Triks: 1n(n+2)+1(n+2)(n+4)+….+1{n(m−2)}(n+m) =12(1n−1n+m) |
Q7. Find the value of 0.ˉ3+0.ˉ6+0.ˉ7+0.ˉ8
(a) 2310
(b) 223
(c) 20.¯35
(d) 5310
Answer: (b) Solution: 0.ˉ3+0.ˉ6+0.ˉ7+0.ˉ8 =39+69+79+89=3+6+7+89=249=223 |
Q8. 1/4th of number of boys and 3/8th of number of girls participated in annual sports of the school. What fractional part of total number of students participated?
(a) 32%
(b) 20%
(c) 36%
(d) Data inadequate
(e) None of the above
Answer: (d) Solution: total number of students participated = B4+3G8 Required percentage = $\frac{\frac{\mathrm{B}}{4}+\frac{3\mathrm{G}}{8}}{\left( \mathrm{B}+\mathrm{G} \right)}\times 100 Since, B and G are unknown ; Clearly given Data is inadequate. |
Q9. Simplify : 1+11+22+31+45
(a) 11117
(b) 157
(c) 1617
(d) 12117
Answer: (a) 11117 Solution: 1st ⇒ 1+45=95 2nd ⇒ 2+3×59=113 3rd ⇒ 1+2×311=1711 4th ⇒1+1117=11117 |
Q10. . If x = 1+11+11+11+12 then, the value of 2x+74 is
(a) 3
(b) 4
(c) 5
(d) 6
Answer: (c) 5 Solution: 1st ⇒ 1+12=32 2nd ⇒ 1+23=53 3rd ⇒ 1+35=85 4th ⇒ 1+58=138 ∴ 2x+74=2×138+74=5 |