**1.**The average of 2 numbers is ab. If one number is a the other is :

1] b 2] 2b 3] ab – a 4] 2ab-a

**2.**During one year the population of a town increased by 10 % and during the next year it diminished by 10 %. Then he population now is ______

1] Same as in the beginning 2] greater than that in the beginning

3] less than that in the beginning 4] None of the above

**3.**If I get Rs. 50 by investing Rs. 5000 for a year, What rate of interest do I charge ?

1] 10 % 2] 1 % 3] 5 % 4] None of these

**4.**The % equivalent to 3/8th is :

1] 37.5 2] .375 3] 40 4] None of these

**5.**In a class of 100 students, 48 students secured 40 marks in English, 32 secured 60 marks and the rest 80. Find the average in English for the whole class.

1] 60 2] 19.42 3] 62.66 4] 54.40

**6.**Which number should be added to 459045 to make it exactly divisible by 27?

1] 3 2] 9 3] 0 4] None of these

**7.**Find the value of

(v75 - v20 - v48) / (v180 + v108)

1] v5-v3 2] 1/(v5 - v3) 3] v5 - v3 4] None of these

**8.**Let ‘x’ be an odd number and ‘y’ an even number, which of the following is necessarily Odd ?

i) x + y ii) x – y iii) x * y

1] (i) only

2] (i) and (ii) only

3] (iii) only

4] (i) and (iii) only

**9.**What decimal of a rupee is 5p ?

1] 0.5 2] 0.05 3] 0.50 4] 0.005

**10.**If 100 ! = 100 x 99 x 98 x … x 2 x 1, the maximum power of 20 which will divide 100 ! is

1] 21 2] 22 3] 23 4] 24

**11.**Rs. 3000 / 150 p = ?

1] Rs. 20 2] 2000 P 3] 2000 4] None of these

**12.**In a garden, trees are planted in rows. In each row there are as many trees as the number of rows in the garden. If each tree bears as many fruits as the number of trees in each row and if the total number of fruits from the trees in that garden is n, then :

1) n is a perfect square 2) n is an odd number

3) n is an even number 4) n is a perfect cube.

**13.**1-1/2 of 2 = ?

1] 1 2] ¾ 3] ¼ 4] none of these

**14.**943 – 233 – 713 is atleast divisible by:

1] 71 and 23

2] 23 and 74

3] 71 and 94

4] 23,71 and 94

**15.**Real numbers are

1] Terminating decimals

2] non-terminating but recurring decimals

3] non-terminating and non recurring decimals

4] All of these.

**16.**Find the remainder when the polynomial 3x4 – 6x3 – 4x + 1 is divided by x-3.

1] 418 2] 69 3] 70 4] None of these

**17.**The value x if 5x / 12-3/8 = ½ is

1] 2 1/10, 2] 3, 3] 5 2/3, 4] 6 1/6

**18**. If m = -19, n = 23 find the value of v25 n2 + 40 mn + 16 m2

**19.**I was x years old 5 years ago. How old shall I be 7 years hence ?

1] x +5 2] x + 7 3] x + 12 4] None of these

**20.**Simplify (x2 – 1) (x2 – 4) (x2 + x – 2) (x2 – x – 2)

1] 0 2] 1 3] x+2 4] (x+2) / (x-1)

**21**. If a > 0, b>0, then:

1] ½ (a+b) > 1, 2] ½ (a+b) < 2, 3] ½ (a+b) > vab 4] ½ (a+b) > 1/ab

**22**. Let y2 = (x+5) (x-3) (x-1), then all the real values of x for which y has non zero real values is

1] -5 < x < 1

2] x > 15

3] -5 < x < 1 or x > 3

4] None of these

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**23.**Hari has a piece of cake 60 cm long. He gives Raja half of it. He then gives Gopal 1/4th of what is left. After giving a piece to Sahi, be is left with 1/10th of the original. How much did he give to Sahil ?

1] 21.5 cm 2] 16.5 cm 3] Rs. 5 4] Rs. 3

**24.**Five apples and 3 oranges cost Rs. 13 while an orange and four apples costs Rs. 9 Find the cost of an apple and an orange.

1] Rs. 2 2] Rs. 1 3] Rs. 5 4] Rs. 3

**25.**A man loses 1/3rd of his money, then wins Rs. 10 loses 1/3rd of what he has and wins Rs. 20 and finds that he has exactly what be had at the beginning. What was the amount he originally bad ?

1] 25 2] 36 3] 10 4] 48

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