**1.The ratio of water and spirit in the mixture is 1 : 3. If the volume of the solution is increased by 25% by adding spirit only, what is the resultant ratio of water and spirit?**

(a) 2 : 3

(b) 1 : 4

(c) 1 : 2

(d) 3 : 2

**2.The average of four positive integers is 72.5. The highest integer is 117 and the lowest integer is 15. The difference between the remaining two integers is 12. Which is the higher of these two remaining integers?**

(a) 70

(b) 73

(c) 84

(d) Cannot be determined

**3.605 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?**

(a) 11

(b) 24

(c) 45

(d) Cannot be determined

**4.A is twice as fast as B and B is thrice as fast as C. The journey covered by C in 56 min will be covered by A in**

(a) 51/3min

(b) 21/3min

(c) 71/3min

(d) 91/3min

**5.9 children can complete a piece of work in 360 days; 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work?**

(a) 68 days

(b) 81 days

(c) 96 days

(d) 124 days

**6.If √3=1.732, the value of (3+√6)/(5√3-2√12-√32+√50) is**

(a) 4.899

(b) 2.551

(c) 1.414

(d) 1.732

**7.What is the LCM of (x^2-y^2-z^2-2yz),(x^2-y^2+z^2+2xz) and (x^2+y^2-z^2-2xy) ?**

(a) (x+y+z)(x+y-z)(x-y+z)

(b) (x+y+z)(x-y-z)(x-y+z)

(c) (x+y+z)(x+y-z)(x-y-z)

(d) (x+y-z)(x-y-z)(x-y+z)

**8.If x-y=(x+y)/7=xy/4. Then xy=?**

(a) 4/3

(b) 3/4

(c) 1/4

(d) 1/3

**9.If 〖67〗^67+67 is divided by 68, remainder, is**

(a) 1

(b) 63

(c) 66

(d) 67

**10.If x runs are scored by A, y runs by B and z runs by C, then x∶y=y∶z=3∶2. If total number of runs scored by A, B and C is 342. The runs scored by each would be respectively.**

(a) 144, 96, 64

(b) 162, 108, 72

(c) 180, 120, 80

(d) 189, 126, 84