Simplification

6: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140,then the number of hens will be: A)22 B)23 C)24 D)26 Answer : Option D Explanation: Let the number of hens be A and the number of cows be B. Then, A + B = 48 .... (i) and 2A + 4B = 140 A + 2B = 70 .... (ii) Solving (i) and (ii) we get: A = 26, B = 22 answer = 26. 7: Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is A)121 B)11 C)1.6 D)7.82 Answer : Option B Explanation: 3/11 × [(1 + 1/3) (1 + 1/4) ....... (1 + 1/120)] 3/11 × [4/3 + 5/4 × ........ 121/120] 3/11 × 4/3 × 5/4 × .... 121/120 121/11 = 11 8:By how much is three-fifth of 350 greater than four-seventh of 210 ? A)90 B)100 C)110 D)120 Answer : Option A Explanation: 3/5 of 350 - 4/7 of 210 = 210 - 120 = 90 9:The total of 324 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is : A)50 B)100 C)150 D)200 Answer : Option D Explanation: Let the number of 20 paise coins be y. Then the no of 25 paise coins = (324 - y). 0.20 * (y) + 0.25 (324 - y) = 71 => y = 200 10:The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is: A)15 cm B)25 cm C)35 cm D)42 cm Answer : Option C Explanation: H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.

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