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Simplification BODMAS Practice Problems: Level 02

Learn to solve the tricky questions based on Simplification. The answer key and explanations are given for the practice questions.
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Solve the following simplification questions
Q.1. 5÷√5=?
A. √5
B. 5
C. 25
D. 0.05
Sol : Option B
Applying BODMAS rule: 5 ÷ √5 = 5/√5 = √5
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Q.2. [image]
A. 2(1/7)
B. 1/7
C. 6/7
D. None of these
Sol : Option C
[image]
= (1/8) + (3/7) - (1/8) + (3/7) = (6/7)
Q.3. Solve 5(1/2) + 6(1/2) - 8(1/4)
A. 2(3/4)
B. 3(3/4)
C. 2(1/4)
D. None of these
Sol : Option B
5(1/2) + 6(1/2) - 8(1/4) = (5+6-8) + ((1/2) + (1/2) - (1/4)) = 3(3/4)
Q.4. 22 – [9 – {6 – (10 –4-3 )}]
A. 12
B. 14
C. 10
D. 8
Sol : Option C
22 – [9 – {6 – (10 –4-3 )}]
= 22 - [9 - {6 -) - (10 – 1)}] = 22 - [ 9 - { 6 - 9}]
= 22 - [9 - {-3}] = 22 - [9 + 3] = 22 - [12] = 22 - 12 = 10
Q.5. 103 - 33 - 23/102 =?
A. 9.5
B. 9.62
C. 9.61
D. 9.6
Sol : Option A
103 - 33 - 23/102
= 1000-27-8/100
=965/100 = 9.65
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Q.6. (14)2 – (.06)2
A. 194.36
B. 193.36
C. 195.36
D. None of these
Sol : Option D
(14)2 – (.06)2
= 196 - .0036 = 195 .9964
Q.7. 37.5% of 800 – 6.25% of 1600 =?
A. 200
B. 250
C. 275
D. 236
Sol : Option A
37.5% of 800 - 6.25% of 1600
3/8 × 800 - 1/16 × 1600 = 300 – 100 = 200
Q8. (√289/34) × (68/√1156) × (√961/62) = ?
A. 1/2
B. 3/4
C. 5/6
D. 7/8
Sol : Option A
(√289/34) × (68/√1156) × (√961/62)
= (17/34) × (68/34) × (31/62) = 1/2
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Q9. 63 + 83 -73 / 62 + 83 - 72 = ?
A. 287/385
B. 223/167
C. 385/51
D. 231/378
Sol : Option C
63 + 83 -73 / 62 + 83 - 72
=(216+512-343)/(36+64-49)
=(728-343)/(100-49)
=385/51
Q10. (19×9+31×10+32×11)/(233.25×2-50) = ?
A. 4
B. 8
C. 6
D. 2
Sol : Option D
(19×9+31×10+32×11)/(233.25×2-50)
=171+310+350/466.5-50
=833/416.5
=2
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