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4 questions · timed · auto-graded

Question 13 Marks
A made 84 runs in 6 overs and B made 126 runs in 7 overs. Who made more runs per over?
Answer
Runs scored by $A$ in 6 overs $=84$ runs
Runs scored by $A$ in one over $=\frac{84}{6}=14$ runs
Runs scored by $B$ in 7 overs $=126$ runs
Runs scored by $B$ in one over $=\frac{126}{7}=18$ runs
B score more runs per over than A.
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Question 23 Marks
In a particular week, a man works for 48 hours and earns ₹ 4,320. But in the next week he worked 6 hours less, how much has he earned in this week?
Answer
Money earned for working 48 hours = ₹ 4320
Money earned for working 1 hour = ₹  $\frac{4320}{48}$
Money earned for working 42 hours (48-6 hours)
= ₹$\frac{4320}{48} \times 42$ = ₹3780
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Question 33 Marks
Rohit buys 10 pens for ₹ 150 and Manoj buys 14 pens for ₹ 168. Who got the pens cheaper?
Answer
Rohit buys 10 pens = ₹ 150
Cost of one pen  = $\frac{150}{10}$= ₹ 15
Manoj buys 14 pens = ₹ 168
Cost of one pen $=\frac{168}{14}=$ ₹ 12
Manoj buys cheaper pen
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Question 43 Marks
Cost of $10$ kg of wheat is $₹ 180.$ What quantity of wheat can be purchased in $₹ 432?$
Answer
Cost of $10 kg$ wheat  =₹ 180
Wheat purchased by ₹ $180=10 kg$
Wheat purchased by ₹ $1=\frac{10}{180}$
$\therefore$ Wheat purchased by  ₹ 432
$=\frac{10}{180} \times 432 $
$ =24\ kg $
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[3 marks sum] - MATHS STD 6 Questions - Vidyadip