# agricultural insurance aic placement paper - aptitude reasoningTotal Views 597

 Paper Title :  agricultural insurance aic placement paper - aptitude reasoning Paper Type : Aptitude Reasoning #p_desc(line-height:1.8em;font-size:11px;font-family:verdana;) #p_desc p(padding:0px;margin:0px;font-size:11px;) AGRICULTURAL-INSURANCE-AIC -Model aptitude reasoning questions and answers. Aptitude,reasoning,english and professional test questions answersAIC-Quantitative AptitudeDirections (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 theseAns : 348 ÷ 29 x 15 + 156 = (?)3 + 120⇒ 12 x 15 + 156 = (?)3 + 120⇒ 180 + 156 - 120 = (?)3⇒ 216 = (?)3⇒ (6)3 = (?)3∴ ? = 62. (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 theseAns : (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∴ ? = 63. (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∴ ? = 64. 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 theseAns : 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 = ?∴ ? = 5/245. 76% of 1285 = 35% of 1256 + ?(1)543(2) 537 (Ans)(3) 547(4) 533(5) None of theseAns : 76% of 1285 = 35% of 1256 + ?⇒ 976.6 = 439.6 + ?⇒ 976.6 - 439.6 = ?∴ ? = 537Directions (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 number6. 499.99 + 1999 ÷ 39.99 x 50.01 = ?(1)3200(2) 2700(3) 3000 (Ans)(4) 2500(5) 2400Ans : 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) -1450Ans : [(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 - ⇒ +) ≈ 16608. 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) 720Ans : 441.01 - 232.99 + 1649.99 = ? + 1225.92⇒ 441 - 233 + 1650 - 1226 = ?⇒ 2091 - 1459 = ?∴ ? = 623 ≈ 63010. (21.5% of 999)1/3 + (43% of 601)1/2 = ?(1)18(2) 22 (Ans)(3) 26(4) 30(5) 33Ans : (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 these14. 19 26 40 68 124 (?)(1)246(2) 238(3) 236 (Ans)(4) 256(5) None of these15. 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 establishedAns :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 = 02y(y - 3) - 3 (y - 3) = 0 (2y - 3) (y - 3) = 0∴ y = 3/2 or 3So, x ≥ y17. I. x3 * 13 = x2 * 247 II. y1/3 * 14 = 294 ÷ y2/3 Ans : 3 I. x3 * 13 = x2 * 247or x3 / x2 = 247/13x = 19II. y1/3 * 14 = 294 ÷ y2/3 or, (y)1/3 * (y)2/3 = 294/14or, (y)1/3+2/3 = 21∴ y = 21So, y > x18. 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 = x10/7or, 48 - 12 = (x)10/7 * (x)4/7or, 36 = (x)7 = (x)2∴ x = ±6 II. y3 + 783 = 999 y3 = 999 - 783 y3 = 216∴ y = ±6∴ y ≥ x19. I. √500 x + √402 = 0 II. √360 y + (200)1/2 = 0 Ans : 5 I. √500 x + √402 = 0or, √500 x = - √402By squaring both sides, we get 500 x2 = 402 x = √402 /500 = ± 0.897II. √360 y + (200)1/2 = 0or, (200)1/2 = - √360 yBy squaring both sides, we get = (-√360 y)2 200 = 360 y2 y = √200/360 = ± 0.75relationship cannot established.20. I. (17)2 + 114 ÷ 18 = x II. (26)2 - 18 * 21 = yAns : 3 I. (17)2 + 114 ÷ 18 = x 289 + 8 = x∴ x = 297 II. (26)2 - 18 * 21 = y 676 - 378 = y∴ 298 = ySo, y > x