1.
60 + 5 * 12 / (180/3) = ?
60 + 5 * 12 / (180/3) = 60 + 5 * 12 / (60)
= 60 + (5 * 12)/60 = 60 + 1 = 61.
2.
9000 + 16 2/3 % of ? = 10500
9000 + 16 2/3 % of ? = 10500 => 9000 + 50/3 % of ? = 10500
50/(3 * 100) of ? = 1500 => ? = 1500 * 6
? = 9000
3.
6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = ?
6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = 20/3 * 48/5 * 7/3 + 4/3
= 448/3 + 4/3 = 452/3 = 150 2/3
4.
[(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = ?
[(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = (63 + 24 + 3)/(36 + 9) = 90/45 = 2
5.
0.003 * ? * 0.0003 = 0.00000027
0.003 * ? * 0.0003 = 0.00000027
3/1000 * ? * 3/10000 = 3/1000 * 3/1000 * 3/100
? = 3/10 = 0.3
6.
[(3.572)3 + (2.428)3] / [(3.572)2 - (3.572) * (2.428) + (2.428)2] is equal to -.
[(3.572)3 + (2.428)3] / [(3.572)2 - (3.572) * (2.428) + (2.428)2]
= {(3.572)2 - (3.572) * (2.428) + (2.428)2}{3.752 + 2.428} / [(3.572)2 - (3.572) * (2.428) + (2.428)2]
= 3.752 + 2.428 = 6
7.
1860 + 4/7 of 21.21 - 41.4 = ?
1860 + 4/7 of 21.21 - 41.4 = 1860 + 4(3.03) - 41.4
= 1860 + 12.12 - 41.4 = 1872.12 - 41.4
= 1830.72
8.
7 + 5 - (3/2 * 1/4) of 2/7 + 7/2 * 1/6 equals -.
7 + 5 - (3/2 * 1/4) of 2/7 + 7/2 * 1/16
= 7 + 5 - (3/2 * 1/4) * 2/7 + 7/2 * 1/16 = 7 + 5 - 3/28 + 7/32
= 12 + 3/28 + 7/32 = 12 + (7 * 7 - 3 * 8)/224
= 12 + 25/224 = 12 25/224
9.
(50 - ?/29)% of 4200 = 3√196
(50 - ?/29)% of 4200 = 3√196
10.
[(523 + 27) * (187 - 35) / (424 + 16)] / [110/22 of (2 * 38)] = ?
[(523 + 27) * (187 - 35) / (424 + 16)] / [110/22 of (2 * 38)]
= [(550 * 152) / 440] / [(110/44) * 38]
= (5 * 38)/(5/2 * 38) = 2