Directions (Qs. 1 - 6): What approximate value should come in place of (?) in the following questions?
1. 4 × ? = (1742.35 + 597.72) ÷ 12.85 + 43.14 × 4.78 + 17
A) 103 B) 120 C) 141 D) 89 E) 165
Explanation: 4x = (1742.35 + 597.72) ÷ 12.85 + 43.14 × 4.78 + 17
4x = 180 + 215 +17
4x = 412 ⇒ 103
Ans: A
A) 74 B) 53 C) 66 D) 85 E) 108
Explanation:
x2 = 2274 + 429 + 106 = 2809 x = 53
Ans: B
3. (3569 ÷ 13.91) ÷ 3 + 16 % of 1999 = ? + 117.52
A) 240 B) 320 C) 290 D) 375 E) 400
Explanation: (3569 ÷ 13.91) ÷ 3 + 16 % of 1999 = x + 117.52
(3570 ÷ 14) ÷ 3 + 16 % of 2000 = x + 118 
x = 85 + 320 − 118 = 287 (Near to 290)
x = 290
Ans: C
4. √1850.184 × √169.169 − 139.915 −194.239 = ?2
A) 15 B) 10 C) 19 D) 16 E) 21
Explanation: √ 1850.184 × √ 169.169 − 139.915 − 194.239 = ?2
√ 1849 × √ 169 − 140 − 194 = ?2
43 × 13 − 140 − 194 = ?2
?2 = 225 ? = 15
Ans: A
5. 31.972 + 612.142 ÷ √ 289.144 − 28.01 = ? × 4.901
A) 5 B) 8 C) 7 D) 10 E) 13
Explanation: 31.972 + 612.142 ÷ √ 289.144 − 28.01 = ? × 4.901
32 + 612 ÷ √ 289 − 28 = ? × 5
32 + 612 ÷ 17 − 28 = ? × 5
40 = ? × 5 ? = 8
Ans: B
6. 19.93 × 24.893 + 19.908 × 30.01 − ? = 74.912 × 11.901
A) 150 B) 230 C) 200 D) 350 E) 300
Explanation: 19.93 × 24.893 + 19.908 × 30.01 − ? = 74.912 × 11.901
20 × 25 + 20 × 30 − ? = 75 × 12
500 + 600 − ? = 900
? = 200
Ans: C
Directions (Qs. 7 - 12): What approximate value should come in the place of (?) in the following questions?
7. 891.31 − 24.45 × 8.99 × 3.92 = ?
A) 15 B) 18 C) 27 D) 39 E) 48
Explanation: 891.31 − 24.45 × 8.99 × 3.92 = ?
⇒ 891 − 24 × 9 × 4
⇒ 891 − 864
⇒ 27
Ans: C
8. 42.11% of 4202.12 − 16.67% of 960.36 = ?
A) 1608 B) 1756 C) 1604 D) 1740 E) 1840
Explanation:
42.11% of 4202.12 − 16.17% of 950.36 = ?
42% of 4200 − 16.67% of 960 =?
1764 − 160 =?
1604 =?
Ans: C
9. (36.4 × 9−1.9) ÷ (81−1.5 × 94.3) = 3?
A) 0.6 B) 1.2 C) 1 D) 0 E) −2.1
Explanation: (36.4 × 9−1.9) ÷ (81−1.5 × 94.3) = 3?
(36.4 × 3−3.8) ÷ (3−6 × 38.6) = 3?
32.6 ÷ 32.6 = 3?
32.6 − 2.6 = 3?
30 = 3?
0 =?
Ans: D
10. 12.512% of 399.98 + 85.714% of 28.18 = ?
A) 65 B) 74 C) 52 D) 84 E) 44
Explanation: 12.512% of 399.98 + 85.714% of 28.18 = ?
50 + 24 = ?
? = 74
Ans: B
11. ? = 4209.712 − 1309.987 − 2243.991 + 3690.101
A) 3850 B) 4050 C) 4250 D) 4350 E) 4650
Explanation: ? = 4209.712 − 1309.987 − 2243.991 + 3690.101
? = 4210 − 1310 − 2244 + 3690
? = 4346 (approx. 4350)
Ans: D
12. (20.83)2 − 3716.69 ÷ 59 = ? × 4 − 71.89
A) 100 B) 106 C) 120 D) 130 E) 112
Explanation:
(20.83)2 − 3716.69 ÷ 59 = ? × 4 − 71.89
212 - 3717 ÷ 59 = ? × 4 − 72
441 − 63 = ? × 4 − 72
450 = ? × 4 ⇒ 112.5 (approx. 112)
112 = ?
Ans: E
13. 30.012% of 579.94 + 21.15 % of 199.93 = ? + √ 2115
A) 140 B) 150 C) 170 D) 190 E) 210
Explanation: 30.012% of 579.94 + 21.15 % of 199.93 = ? + √ 2115
174 + 42 = ? + 46
? = 170
Ans: C
14. 12.98% of 1501.16 + √ 195.98 = 22.98 + ?
A) 176 B) 186 C) 196 D) 156 E) 166
Explanation: 12.98% of 1501.16 + √ 195.98 = 22.98 + ?
195 +14 = 23 + ?
186 = ?
Ans: B
100 − 99 + 9 = ?
10 = ?
Ans: B
Cross multiplication 64556 × 21 = 16139 × ?
1355676 = 16139 × ?
? = 84
Ans: C
17. 168.95 × (507.218 ÷ 38.93) = ? − √ 170
A) 3310 B) 4310 C) 2210 D) 4210 E) 2280
Explanation:
168.95 × (507.218 ÷ 38.93) = ? − √ 170
169 × (507 ÷ 39) = ? − √ 170
169 × 13 = ? − 13
2197 = ? − 13
2197 + 13 = ?
2210 = ?
Ans: C
18. 149.96 × 3.02 − 114.57 × 1.93 = ?
A) 170 B) 220 C) 310 D) 190 E) 260
Explanation:
149.96 × 3.02 − 114.57 × 1.93 = ?
150 × 3 − 115 × 2 = ?
450 − 230 = ?
220 = ?
Ans: B
