Quantitative Aptitude
SIMPLIFICATION MCQs
Simplication
Total Questions : 1537
| Page 148 of 154 pages
Answer: Option B. -> 3.77
1/3 * 1/3 * 1/7 * 1/9 * 2140 = ?
? = 3.77
1/3 * 1/3 * 1/7 * 1/9 * 2140 = ?
? = 3.77
Answer: Option C. -> 225
? = (21345 * 45) / 4270
? = 225
? = (21345 * 45) / 4270
? = 225
Answer: Option A. -> 78
45/100 * 125 + 22.22 = 56.25 + 22.22 = 78.47
45/100 * 125 + 22.22 = 56.25 + 22.22 = 78.47
Answer: Option B. -> 35
25 2/5 + 8 4/5 + 4/5 = 34 4/5 ≡ 35
25 2/5 + 8 4/5 + 4/5 = 34 4/5 ≡ 35
Answer: Option C. -> 142
109 * 34 – 108 * 33
= 3706 – 3564 = 142
109 * 34 – 108 * 33
= 3706 – 3564 = 142
Answer: Option B. -> 1109400
108 * 107 * 96 ≡ 1109400
108 * 107 * 96 ≡ 1109400
Answer: Option C. -> 2
(64 + 9 + 9) / (2 * 20 + 1) = 82/41 = 2
(64 + 9 + 9) / (2 * 20 + 1) = 82/41 = 2
Answer: Option C. -> 4
(1.9 * 0.021) / (0.095 * 0.105) = (19 * 21 * 100) / (95 * 105) = 4
(1.9 * 0.021) / (0.095 * 0.105) = (19 * 21 * 100) / (95 * 105) = 4
Answer: Option C. -> 9/13, 6/11, 8/15
THE FRACTIONS CONSIDERED ARE 8/15 9/13 6/11
TO COMPARE THEM WE MAKE THE DENOMINATORS THE SAME. SO THE FRACTIONS ARE
(8 * 13 * 11)/2145, (9 * 15 * 11)/2145 AND (6 * 15 * 13)/2145
1144/2145, 1485/2145 AND 1170/2145
SO IN DESCENDING ORDER THE FRACTIONS WILL BE
1485/2145, 1170/2145 AND 1144/2145 I.E., 9/13 , 6/11 , 8/15
THE FRACTIONS CONSIDERED ARE 8/15 9/13 6/11
TO COMPARE THEM WE MAKE THE DENOMINATORS THE SAME. SO THE FRACTIONS ARE
(8 * 13 * 11)/2145, (9 * 15 * 11)/2145 AND (6 * 15 * 13)/2145
1144/2145, 1485/2145 AND 1170/2145
SO IN DESCENDING ORDER THE FRACTIONS WILL BE
1485/2145, 1170/2145 AND 1144/2145 I.E., 9/13 , 6/11 , 8/15
Answer: Option D. -> 4.5 * 2.75
(2.75)³ – (2.00)³ – (0.75)³
A³ + B³ + C³ = (A + B + C)(A³ + B³ + C³ – AB – BC – CA)
IF A + B + C = 0 THEN A³ + B³ + C³ = 3ABC
HENCE 2.75 – 2.00 – 0.75 = 0
SO, (2.75)³ – (2.00)³ – (0.75)³
= 3 * 2.75 * 2 * 0.75 = 3 * 1.5 * 2.75
= 4.5 * 2.75
(2.75)³ – (2.00)³ – (0.75)³
A³ + B³ + C³ = (A + B + C)(A³ + B³ + C³ – AB – BC – CA)
IF A + B + C = 0 THEN A³ + B³ + C³ = 3ABC
HENCE 2.75 – 2.00 – 0.75 = 0
SO, (2.75)³ – (2.00)³ – (0.75)³
= 3 * 2.75 * 2 * 0.75 = 3 * 1.5 * 2.75
= 4.5 * 2.75
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