1 .
X and Y together can dig a trench in 14 days. X can alone dig it in 25 days. In how many days Y alone can dig it?
A.  31 $9 \over 11$ days
B.  5 $21 \over 3$ days
C.  30 $3 \over 11$ days
D.  23 $3 \over 11$ days
E.  None of these
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2 .
At what percent rate per annum will a sum of money be doubled in 6 years at simple interest?
A.  16.66%
B.  15.55%
C.  18%
D.  15%
E.  14.2%
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3 .
Two dice are thrown simultaneously. What is the probability of getting two number whose product is even?
A.  $1\over 2$
B.  $3\over 4$
C.  $3\over 8$
D.  $5\over 16$
E.  None of these
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4 .
In how many ways can we arrange letters of the word 'MATTER'?
A.  73
B.  144
C.  360
D.  720
E.  None of these
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5 .
A sum of money is divided between two persons in the ratio of 17: 15. If the share of one person is ₹ 80 less than that of the other, what is the sum?
A.  ₹ 540
B.  ₹ 320
C.  ₹ 960
D.  ₹ 1280
E.  None of these
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6 . In each of the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.

(1) If P < Q

(2) If P $\leq$ Q

(3) If P $\geq$ Q

(4) If P = Q

(5) If P > Q
I. 9$P^ 2$ - 9P + 2 = 0

II. 18$Q^ 2$ + 3Q = 1
A.  P < Q
B.  P $\leq$ Q
C.  P $\geq$ Q
D.  P = Q
E.  P > Q
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7 . In each of the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.

(1) If P < Q

(2) If P $\leq$ Q

(3) If P $\geq$ Q

(4) If P = Q

(5) If P > Q
I.$ P^ 2$ + 13P + 42 = 0

II. 2$Q^ 2$ + 22Q + 60 = 0
A.  P < Q
B.  P $\leq$ Q
C.  P $\geq$ Q
D.  P = Q
E.  P > Q
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8 . In each of the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.

(1) If P < Q

(2) If P $\leq$ Q

(3) If P $\geq$ Q

(4) If P = Q

(5) If P > Q
I. 6P + 7Q = 45

II. 2P + 3Q = 17
A.  P < Q
B.  P $\leq$ Q
C.  P $\geq$ Q
D.  P = Q
E.  P > Q
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9 . In each of the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.

(1) If P < Q

(2) If P $\leq$ Q

(3) If P $\geq$ Q

(4) If P = Q

(5) If P > Q
I. 3$P^ 2$ + 192 = -48P

II.$ Q^2$ + 16Q + 64 = 0
A.  P < Q
B.  P $\leq$ Q
C.  P $\geq$ Q
D.  P = Q
E.  P > Q
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10 . In each of the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.

(1) If P < Q

(2) If P $\leq$ Q

(3) If P $\geq$ Q

(4) If P = Q

(5) If P > Q
I. 15$P^ 2$ - 8P + 1 = 0

II. 45$Q^ 2$ + 21Q = 6
A.  P < Q
B.  P $\leq$ Q
C.  P $\geq$ Q
D.  P = Q
E.  P > Q
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