**A gardener had a number of shrubs to plant in rows. At first he tried to plant 8,then 12 and then 16 in a row but he had always 3 shrubs left with him. On trying 7 he had none left. Find the total number of shrubs.**

A)154

B)147

C)137

D)150

Answer

Option (b) is correct

**Explanation –**

**If m and n are two whole numbers and if** **= 49. Find , given that n ≠ 1**

A)118

B)94

C)561

D)128

Answer

Option (d) is correct

**Explanation –**

49 =

= 128

**What will be the least number which when doubled will be exactly divisible by 12,18,21 and 30?**

A)630

B)360

C)603

D)306

Answer

Option (c) is correct

**Explanation –**

LCM of 12,18,21 and 30 = 1260

Doubled (divide by 2) = 1260/2 = 630

**HCF and LCM of two numbers are 11 and 385 .If one number lies between 75 and 125 then that number is**

A)123

B)73

C)77

D)154

Answer

Option (c) is correct

**Explanation –**

Product of the two number = 11a×11b = 4235

ab = 4235/121 = 35

35 = 7 × 5 (co prime)

Then 11xa = 11×7 = 77

**If the L.C.M of x and y is z, their H.C.F is**

A)xy/z

B)xyz

C)(x + y)/z

D)z/xy

Answer

Option (a) is correct

**Explanation –**

HCF = Product of the 2 number/LCM = XY/Z

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