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AGRICULTURAL-INSURANCE-AIC -Model aptitude reasoning questions and answers. Aptitude,reasoning,english and professional test questions answers
AIC-Quantitative Aptitude
Directions (Q. Nos. 1 to 5) What will come in place of question mark (?) in the following questions?
1. 348 ÷ 29 x 15 + 156 = (?)3 + 120
(1) 12
(2) 6 (Ans)
(3) 36
(4) 9
(5) None of these
Ans : 348 ÷ 29 x 15 + 156 = (?)3 + 120
? 12 x 15 + 156 = (?)3 + 120
? 180 + 156 - 120 = (?)3
? 216 = (?)3
? (6)3 = (?)3
? ? = 6
2. (4 x 4)3 ÷ (512 ÷ 8)4 x (32 x 8)4 = (2 x 2)? + 4
(1) 8
(2) 12
(3) 6 (Ans)
(4) 14
(5) None of these
Ans : (4 x 4)3 ÷ (512 ÷ 8)4 x (32 x 8)4 = (2 x 2)? + 4
? (16)3 ÷ (64)4 x (256)4 = (4)? + 4
? (4)2x3 ÷ (4)3x4 x (4)4x4 = (4)? + 4
? (4)6 ÷ (4)12 x (4)16 = (4)? + 4
? (4)6-2+16 = (4)? + 4
? (4)10 = (4)? + 4
? 10 = ? + 4
? ? = 6
3. (2?392 - 21) + (?8 - 7)2 = (?)2
(1) 4
(2) -4
(3) 12
(4) 2
(5) 6 (Ans)
Ans : (2?392 - 21) + (?8 - 7)2 = (?)2
? (2 x 14?2 - 21) + (?8 - 7)2 = (?)2
? 28?2 - 21 + (?8)2 - 2 x ?8 x 7 + (7)2 = (?)2
? 28?2 - 21 + 8 - 28?2 + 49 = (?)2
? - 21 + 8 + 49 = (?)2
? 36 = (?)2
? ? = 6
4. 1 1/4 + 1 1/6 - 1 1/8 = ? + 1 1/12
(1) 5/24 (Ans)
(2) 7/24
(3) 5/12
(4) 7/12
(5) None of these
Ans : 1 1/4 + 1 1/6 - 1 1/8 = ? + 1 1/12
? 1 1/4 + 1 1/6 - 1 1/8 - 1 1/12 = ?
? (1 + 1 - 1 - 1) + (1/4 + 1/6 - 1/8 - 1/12) = ?
? 0 + (6 + 4 - 3 - 2/24) = ? ? 0 + 5/24 = ?
? ? = 5/24
5. 76% of 1285 = 35% of 1256 + ?
(1) 543
(2) 537 (Ans)
(3) 547
(4) 533
(5) None of these
Ans : 76% of 1285 = 35% of 1256 + ?
? 976.6 = 439.6 + ?
? 976.6 - 439.6 = ?
? ? = 537
Directions (Q. Nos. 6 to 10) What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value)
Solutions (6 to 10)
You can take approximate value of any number
6. 499.99 + 1999 ÷ 39.99 x 50.01 = ?
(1) 3200
(2) 2700
(3) 3000 (Ans)
(4) 2500
(5) 2400
Ans : 499.99 + 1999 ÷ 39.99 x 50.01 = ?
500 + 2000 ÷ 40 x 50 = ?
500 + 50 x 50 = ?
500 + 2500 = ?
3000 = ?
7. [(7.99)2 - (13.001)2 + '(4.01)3]2 = ?
(1) -1800
(2) 1450
(3) -1660
(4) 1660 (Ans)
(5) -1450
Ans : [(7.99)2 - (13.001)2 + '(4.01)3]2 = ?
? [(8)2 - (13)2 + (4)3]2 = ?
? [64 - 169 + 64]2 = ?
? (-41)2= ?
? ? = 1681 (?- x - ? +)
? 1660
8. 601/49 x 399/81 ÷ 29/201 = ?
(1) 520
(2) 360
(3) 460
(4) 500
(5) 420 (Ans)
Ans : 601/49 x 399/81 ÷ 29/201 = ?
? 601/49 x 399/81 x 201/29 = ?
? 600/50 x 400/80 x 200/30 = ?
? 400 = ?
420 ? ?
9. 441.01 - 232.99 + 1649.99 = ? + 1225.92
(1) 600
(2) 630 (Ans)
(3) 660
(4) 690
(5) 720
Ans : 441.01 - 232.99 + 1649.99 = ? + 1225.92
? 441 - 233 + 1650 - 1226 = ?
? 2091 - 1459 = ?
? ? = 623 ? 630
10. (21.5% of 999)1/3 + (43% of 601)1/2 = ?
(1) 18
(2) 22 (Ans)
(3) 26
(4) 30
(5) 33
Ans : (21.5% of 999)1/3 + (43% of 601)1/2 = ?
(1000 X 21.5%)1/3 + (600 X 43%)1/2 = ?
(215)1/3 + (258)1/2 = ?
(216)1/3 + (256)1/2 = ?
(6)3X1/3 + (16)2X1/2 = ?
6 + 16 = ?
22 = ?
Directions (Q. Nos. 11 to 15) What will come in place of question mark (?) in the following number series?
11. 15 21 39 77 143 (?)
(1) 243
(2) 240
(3) 253
(4) 245
(5) None of these (Ans)
12. 33 39 57 87 129 (?)8
(1) 183 (Ans)
(2) 177
(3) 189
(4) 199
(5)
13. 15 19 83 119 631 (?)
(1) 731 (Ans)
(2) 693
(3) 712
(4) 683
(5) None of these
14. 19 26 40 68 124 (?)
(1) 246
(2) 238
(3) 236 (Ans)
(4) 256
(5) None of these
15. 43 69 58 84 73 (?)
(1) 62
(2) 98
(3) 109
(4) 63
(5) None of these (Ans)
Directions (Q. Nos. 16 to 20) In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer
(1) if x > y
(2) if x ? y
(3) if x < y
(4) if x ? y
(5) if x = y or the relationship cannot be established
Ans :
16. I. x2 - 11x + 24 = 0
II. 2y2 - 9y + 9 = 0
Ans :2 I. x2 - 11x + 24 = 0
x2 - 8x - 3x + 24 = 0
x (x - 8) - 3 (x - 8) = 0
(x - 8)(x - 3) = 0
? x = 8 or 3
II. 2y2 - 9y + 9 = 0
2y2 - 6y - 3y + 9 = 0
2y(y - 3) - 3 (y - 3) = 0
(2y - 3) (y - 3) = 0
? y = 3/2 or 3
So, x ? y
17. I. x3 * 13 = x2 * 247
II. y1/3 * 14 = 294 ÷ y2/3
Ans :3 I. x3 * 13 = x2 * 247
or x3 / x2 = 247/13
x = 19
II. y1/3 * 14 = 294 ÷ y2/3
or, (y)1/3 * (y)2/3 = 294/14
or, (y)1/3+2/3 = 21
? y = 21
So, y > x
18. I. 12 * 4 / x4/7 - 3 * 4 / x4/7 = x10/7
II. y3 + 783 = 999
Ans : 4 I. 12 * 4 / x4/7 - 3 * 4 / x4/7 = x10/7
or, 48 - 12 = (x)10/7 * (x)4/7
or, 36 = (x)7 = (x)2
? x = ±6
II. y3 + 783 = 999
y3 = 999 - 783
y3 = 216
? y = ±6
? y ? x
19. I. ?500 x + ?402 = 0
II. ?360 y + (200)1/2 = 0
Ans : 5 I. ?500 x + ?402 = 0
or, ?500 x = - ?402
By squaring both sides, we get
500 x2 = 402
x = ?402 /500 = ± 0.897
II.?360 y + (200)1/2 = 0
or, (200)1/2 = - ?360 y
By squaring both sides, we get
= (-?360 y)2
200 = 360 y2
y = ?200/360 = ± 0.75
relationship cannot established.
20. I. (17)2 + 114 ÷ 18 = x
II. (26)2 - 18 * 21 = y
Ans :3 I. (17)2 + 114 ÷ 18 = x
289 + 8 = x
? x = 297
II. (26)2 - 18 * 21 = y
676 - 378 = y
? 298 = y
So, y > x
