1 .A bag contains 5 white and 7 black balls and a man draws 4 balls at random. The odds against these being all black is :
A.  7 : 92
B.  92 : 7
C.  92 : 99
D.  99 : 92
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2 .The letters of the word SOCIETY are placed at random in a row. The probability that the three vowels come together is
A.$1\over6$ , B.$1\over7$ , C.$2\over7$, D.$5\over6$
A.  a
B.  b
C.  c
D.  d
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3 .There are three events $E_1$,$E_2$,and $E_3$ One of which must, and only one can happen. The odds are 7 to 4 against $E_1$,5 to 3 against $E_2$ The odds against ,and $E_3$ is
A.  4 : 11
B.  3 : 8
C.  23 : 88
D.  65 : 23
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4 .
A.  2n + 5
B.  5n+ 6
C.  8n+ 3
D.  8n+ 15
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5 .
A.  16
B.  8
C.  4
D.  ${\sqrt15}$
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6 .A trader marked a watch 40% above the cost price and then gave a discount of 10%. He made a net profit of Rs.468 after paying a tax of 10% on the gross profit. What is the cost price of the watch?
A.  Rs.1200
B.  Rs.1800
C.  Rs.2000
D.  Rs. 2340
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7 .By selling 8 dozen pencils, a shopkeeper gains the selling price of 1 dozen pencils. What is the gain?
A.12$^1\over2$ % , B.13$^1\over7$ % , C.14$^2\over4$ , D.87$^1\over2$ %
A.  a
B.  b
C.  c
D.  d
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8 .For what value of k, will the expression 3x 3 – kx 2 + 4x + 16 be divisible by $\left( x-\frac{ k}{2}\right)$ ?
A.  4
B.  -4
C.  2
D.  0
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9 .
A.  a
B.  b
C.  c
D.  d
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10 .
A.  a
B.  b
C.  c
D.  d
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