1 .
Joe root scores 180 runs in first test match. In second test match his run increased to 5 : 6 from first match and in third test match his run decreased to 4 : 3 from second match. Find his average runs in all the matches
A.  186
B.  170
C.  180
D.  174
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2 .
Find the LCM of $2^ 2 $ $\times$ $3^ 2 $ $\times$$ 5^ 2$ , 2 $\times$$ 3^ 3 $ $\times$ $5^ 2 $ , 2 $\times$$ 3^ 2 $ $\times$ 5
A.  $2^2$ $\times$ $3^ 3$ $\times$ $5^ 2$
B.  $2^ 2$ $\times$ $3^ 2$ $\times$ $5^ 2$
C.  2 $\times$ 3 $\times$ $5^ 2$
D.  2 $\times$ $3^ 3$ $\times$ 5
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3 .
Two candles of same height are lit together at the same time. First candle takes 10 hrs, while second takes 9 hours to burn it completely. Suppose they are burning at same rate. Find the time after which height of the first will be half of the second candle
A.  2$8 \over 11$ hr
B.  8$2 \over 11$ hr
C.  11$1\over 4$ hr
D.  12 hr
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4 .
The side AB of a parallelogram ABCD is produced to E in such way that BE = AB. DE intersects BC at Q. The point Q divides BC in the ratio
A.  2 : 4
B.  1 : 1
C.  2 : 3
D.  2 : 1
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5 .
If sin$\theta$ + cos$\theta$ = m and sec$\theta$ + cosec$\theta$ = n, then find the value of n$m^2 - 1 \over 2$
A.  m
B.  2m
C.  3m
D.  2$m^2$
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6 .
The ratio of number of boys to that of girls in a group becomes 2 : 1, when 15 girls leave. But, afterwards, when 45 boys also leave and the ratio becomes 1 : 5. In the beginning the number of boys was
A.  60
B.  70
C.  80
D.  50
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7 .
9 taps of same capacity fill up a water tank in 20 minutes. How many taps of the same capacity are required to fill up the same water tank in 18 minutes?
A.  10
B.  12
C.  15
D.  18
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8 . The pie chart given show the data on number of foreign collaborations approved with various countries. Some of these foreign collaborations are technical while others include foreign investment too. Study the pie chart and answer the questions below it

image
By how much did the number of foreign collaboration approved with A increase from 2013 to 2016?
A.  216
B.  99
C.  315
D.  105
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9 . The pie chart given show the data on number of foreign collaborations approved with various countries. Some of these foreign collaborations are technical while others include foreign investment too. Study the pie chart and answer the questions below it

image
What is the ratio of the number of foreign collaborations approved with F in 2013 to those in 2016?
A.  13 : 15
B.  7 : 17
C.  14 : 15
D.  None of the above
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10 . The pie chart given show the data on number of foreign collaborations approved with various countries. Some of these foreign collaborations are technical while others include foreign investment too. Study the pie chart and answer the questions below it

image
By what percent did foreign collaborations approved with E change in 2016 with respect to 2013?
A.  2% increase
B.  8$1 \over 3$% increase
C.  8$1 \over 3$% decrease
D.  2% decrease
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