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If the operation ^ is defined by the equation x ^ y = 2x + y, what is the value of a in 2 ^ a = a ^ 3?

1. A -1
2. B 0
3. C 1
4. D 4

In a cricket team scores X runs on average over N games and then scores Y runs in the next game, then the average score for the team over the (N + 1) games is---

1. A (NX + Y)/(N + 1)
2. B (X + Y)/(N + 1)
3. C {N(X + Y) - 1}/N
4. D {N(X + Y)}/(N + 1)

If x = 2y = 3z = 36 then the arithmetic mean of x, y and z is:

1. A 12
2. B 18
3. C 22
4. D 33

If the result obtained by multiplying a number x by a number 1 less itself is 4 less than multiplying x by itself, then x =?

1. A 2
2. B 4
3. C 5
4. D 6

If (x - 1)2 = 400, which of the following could be the value of x - 5?

1. A -24
2. B -25
3. C 14
4. D 15

What is the value of x if 4/x + 3/5 = 10/x?

1. A 10
2. B 12
3. C 40
4. D 50

If u > t, r > q, s > t, t > r which of the followings must be true I. u > s II. s > q III. u > r

1. A I only
2. B II and III only
3. C II only
4. D III only

If x = 12 which of the following has the least value?

1. A 2 - x
2. B 2/x
3. C x - 2
4. D x/2

Karim's school is 10 kms from his home. From there he travels 4 kms to get his friend's house and then travels 3 kms to get to the cricket ground. If he is then x miles from home, what is the range of possible values of x?

1. A 3 ≤ x ≤ 10
2. B 3 ≤ x ≤ 12
3. C 3 ≤ x ≤ 14
4. D 3 ≤ x ≤ 17

If 13 = 13w/(1 - w), then (2w)2 =

1. A 1
2. B 1/2
3. C 1/4
4. D 2

If x + y = 1 and x - y = 5, then what x is equal to?

1. A 2
2. B 3
3. C 4
4. D 5

If x = ya, y = zb and z = xc then the value of abc is--

1. A 1
2. B 2
3. C 3
4. D 4