1 . The largest number amongst the following that will perfectly divide $101^{100}$– 1 is –
A.  100
B.  10000
C.  $100^{100}$
D.  100000
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2 . A circle is touching the side AC of Δ ABC at P and is also touching AB and AC produced at Q and R respectively. If AQ = 8 cm then perimeter of Δ ABC is –
A.  8 cm
B.  12 cm
C.  14 cm
D.  16 cm
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3 . Successive discount of 60% and 60% is equivalent to –
A.  120%
B.  90%
C.  84%
D.  79.5%
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4 . A shopkeeper sells an article at a loss of 14 $1\over 2$% . Had he sold the article for ` 83.25 more he would have earned a profit of 8%. The cost price of the article is –
A.  ` 280
B.  ` 580
C.  ` 370
D.  ` 450
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5 .
A.  a
B.  b
C.  c
D.  d
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6 . In a hostel, there are 120 students and food stock is for 45 days. If 30 new students join the hostel, i n how many days wi l l the complete stock be exhausted ?
A.  32 days
B.  36 days
C.  38 days
D.  40 days
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7 . 40 men can build a wall 200 m long in 12 days working 8 hrs a day. The number of days 30 men will take to build a similar wall 300 m l ong worki ng 6 hrs a day wil l be –
A.  36 days
B.  9 days
C.  32 days
D.  18 days
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8 . A book was sold at a discount of 10% on the pri nted pri ce and was purchas ed at a discount of 20% on the printed price. If the profit in the complete deal was ` 10, then the printed price of the book was –
A.  ` 110
B.  ` 80
C.  ` 90
D.  ` 100
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9 . A can do a piece of work in 24 days, while B alone can do it in 16 days. With the help of C, they finish the work in 8 days. C alone can do the work in –
A.  32 days
B.  36 days
C.  40 days
D.  48 days
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10 .
A.  a
B.  b
C.  c
D.  d
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