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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?
31 $9 \over 11$ days
5 $21 \over 3$ days
30 $3 \over 11$ days
23 $3 \over 11$ days
None of these
2 .
At what percent rate per annum will a sum of money be doubled in 6 years at simple interest?
16.66%
15.55%
18%
15%
14.2%
3 .
Two dice are thrown simultaneously. What is the probability of getting two number whose product is even?
$1\over 2$
$3\over 4$
$3\over 8$
$5\over 16$
None of these
4 .
In how many ways can we arrange letters of the word 'MATTER'?
73
144
360
720
None of these
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?
₹ 540
₹ 320
₹ 960
₹ 1280
None of these
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
P < Q
P $\leq$ Q
P $\geq$ Q
P = Q
P > Q
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
P < Q
P $\leq$ Q
P $\geq$ Q
P = Q
P > Q
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
P < Q
P $\leq$ Q
P $\geq$ Q
P = Q
P > Q
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
P < Q
P $\leq$ Q
P $\geq$ Q
P = Q
P > Q
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
P < Q
P $\leq$ Q
P $\geq$ Q
P = Q
P > Q