Question 12 Marks
A student multiplied $7236$ by $65$ instead of multiplying by $56$. How much was his answer greater than the correct answer?
(Hint: Do you need to do both the multiplications?)
AnswerWrong answer was greater than the correct answer by
$= 7236$ $\times$ $65 – 7236$ $\times$ $56$
$= 7236$ $\times$ $(65 – 56)$
$= 7236$ $\times$ $9 = 65,124$
View full question & answer→Question 22 Marks
A merchant had $₹ 78,592$ with her. She placed an order for purchasing $40$ radio sets at $₹ 1200$ each. How much money will remain with her after the purchase?
AnswerMoney which the merchant had $= Rs.78,592$
Cost of $40$ radio sets at $Rs.1200$ each $= Rs.1200 \times 40 = Rs.48,000$
\therefore Money that will remain with the merchant after the purchase $= Rs. 78,592 – Rs.48,000 = Rs.30,592.$
View full question & answer→Question 32 Marks
A machine, on an average, manufactures $2,825$ screws a day. How many screws did it produce in the month of January, $2006$?
AnswerNumber of screws manufactured by the machine a day on an average $= 2,825.$
Number of days in the month of January, $2006 = 31$
$\therefore $ Number of screws produced by the machine in the month of January, $2006 = 2,825 \times 31 = 87,575$
View full question & answer→Question 42 Marks
Find the difference between the greatest and the least $5$-digit number that can be written using the digits $6, 2, 7, 4, 3$ each only once.
AnswerGreatest number that can be written using the digits $6, 2, 7, 4, 3$ each only once $= 76,432.$
Least number that can be written using the digits $6, 2, 7, 4, 3$ each only once $= 23,467.$
$\therefore $ Difference between the greatest and least numbers that can be written using the digits $6, 2, 7, 4, 3$ each only once
$= 76,432 – 23,467 = 52,965.$
View full question & answer→Question 52 Marks
Kirti Bookstore sold books worth $₹ 2,85,891$ in the first week of June and books worth $₹ 4,00,768$ in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?
AnswerSale of books in the first week $= Rs.2,85,891.$
Sale of books in the second week $= Rs.4,00,768$
$\therefore$ Sale for the two weeks together $= Rs.2,85,891 + Rs.4,00,768 = Rs.6,86,659.$
The sale was greater in the second week by $ Rs. 4,00,768 – Rs.2,85,891$ i.e., by $Rs.1,14,877.$
View full question & answer→Question 62 Marks
In an election, the successful candidate registered $5,77,500$ votes and his nearest rival secured $3,48,700$ votes. By what margin did the successful candidate win the election?
AnswerVotes registered by the successful candidate $= 5,77,500$
Votes secured by the nearest rival $= 3,48,700$
$\therefore$ Margin by which the successful candidate won the election
$= 5,77,500 – 3,48,700 = 2,28,800$
View full question & answer→Question 72 Marks
Shekhar is a famous cricket player. He has so far scored $6,980$ runs in test matches. He wishes to complete $10,000$ runs. How many more runs does he need?
AnswerRuns scored so far $= 6,980$
Runs wished to be scored $= 10,000$
$\therefore $ Runs needed more$ = 10,000 – 6,980 = 3,020.$
View full question & answer→Question 82 Marks
A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final days was respectively $1094, 1812, 2050$ and $2751$. Find the total number of tickets sold on all the four days.
AnswerNumber of tickets sold on the first day $= 1094$
Number of tickets sold on the second day $= 1812$
Number of tickets sold on the third day $= 2050$
Number of tickets sold on the final day $= 2751$
$\therefore$ Total number of tickets sold on all the four days $= 1094 + 1812 + 2050 + 2751 = 7707$
View full question & answer→Question 92 Marks
The town newspaper is published every day. One copy has $12$ pages. Every day $11,980$ copies are printed. How many total pages are printed every day?
AnswerEach copy has $12$ pages.
Hence, $11,980$ copies will have $12$ $\times$ $11,980$ pages.
Now,
$11980$
$\underline{\times 12}$
${23960}$
$\underline{+\ 119800}$
$\underline{143760}$
Therefore, Everyday $1,43,760$ pages are printed.
View full question & answer→Question 102 Marks
In one state, the number of bicycles sold in the year $2002-2003$ was $7,43,000$. In the year $2003-2004$, the number of bicycles sold was 8,00,100. In which year were more bicycles sold? and how many more?
AnswerClearly, $8,00,100$ is more than $7,43,000$.
So, in that state, more bicycles were sold in the year $2003-2004$ than in $2002-2003.$
Now, $800100 - 743000 = 57100$
Therefore, $57,100$ more bicycles were sold in the year $2003-2004.$
View full question & answer→Question 112 Marks
The population of Sundarnagar was $2,35,471$ in the year $1991$. In the year $2001$, it was found to be increased by $72,958.$ What was the population of the city in $2001$?
AnswerPopulation of the city in $2001$
= Population of the city in $1991$ + Increase in population
$= 2,35,471 + 72,958$
Now, $\begin{array}{r} {235471} \\ {+72958} \\ \hline 308429 \end{array}$
Therefore, Population of the city in $2001$ was $3,08,429.$
View full question & answer→