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Basic Maths: Test 49
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Question 1 
Garima bought 10 pens, 12 packets of wax colours, 5 calculators and 8 pencil boxes, The price of one pen is Rs.8, one packet of wax colour is Rs.25, one calculator is Rs.170 and one pencil box is Rs.15 more than the combined price of one pen and one packet of wax colours. How much amount did harshita pay to the shopkeeper?
Rs.1681  
Rs.1814
 
Rs.1614  
Rs.1672 
Question 1 Explanation:
$\begin{align}
& C.P\,\,\,of\,\,one\,\,\,pencil\,\,\,box\, \\
& =8+25+15=Rs.\,48 \\
& Total\,\,amount\,\,paid\,\,by\,\,Garima \\
& =Rs.\,\left( 10\times 8+12\times 25+5\times 170+8\times 48 \right) \\
& =Rs.\,\left( 80+300+850+384 \right) \\
& =Rs.\,1614 \\
\end{align}$
Question 2 
${{\left( 2626 \right)}^{2}}=?\div 2626$
1/2626  
(2626)^{3}  
2626  
(2626)^{3/2} 
Question 2 Explanation:
\[\begin{align}
& {{\left( 2626 \right)}^{2}}=?\div 2626 \\
& \Rightarrow ?={{\left( 2626 \right)}^{2}}\times 2626 \\
& =2626\times 2626\times 2626 \\
& ={{\left( 2626 \right)}^{3}} \\
\end{align}\]
Question 3 
Boman’s present age is three times his daughter's present age and ninethirteenth of his mother's present age. The sum of the present ages of all of them is 125 years. What is the difference between the Boman's daughter's present age and Boman's mother's present age?
45 years
 
40 years  
50 years  
Cannot be determined 
Question 3 Explanation:
Let Boman’s present age = $x$ year
Therefore His daughter’s present age = $\frac{x}{3}$years
His mother’s present age = $\frac{13x}{9}$years
$\begin{align} & Therfore\,\,x+\frac{x}{3}+\frac{13x}{9}=125 \\ & \Rightarrow \frac{9x+3x+13x}{9}=125 \\ & \Rightarrow 25x=125\times 9 \\ & \Rightarrow x=\frac{125\times 9}{25}=45 \\ & Therefore\,\,\operatorname{Re}quired\,\,difference \\ & =\frac{13x}{9}\frac{x}{3} \\ & =\frac{13x3x}{9}=\frac{10x}{9} \\ & =\frac{10}{9}\times 45=50\,\,years \\ \end{align}$
Therefore His daughter’s present age = $\frac{x}{3}$years
His mother’s present age = $\frac{13x}{9}$years
$\begin{align} & Therfore\,\,x+\frac{x}{3}+\frac{13x}{9}=125 \\ & \Rightarrow \frac{9x+3x+13x}{9}=125 \\ & \Rightarrow 25x=125\times 9 \\ & \Rightarrow x=\frac{125\times 9}{25}=45 \\ & Therefore\,\,\operatorname{Re}quired\,\,difference \\ & =\frac{13x}{9}\frac{x}{3} \\ & =\frac{13x3x}{9}=\frac{10x}{9} \\ & =\frac{10}{9}\times 45=50\,\,years \\ \end{align}$
Question 4 
Cost of 10 pens and 5 pencils is Rs.185 and the cost of 3 pens and 2 pencils Is Rs.54. What is the cost of one pen?
Rs.16
 
Rs.14  
Rs.12  
None 
Question 4 Explanation:
Question 5 
Cost of 21 shirts and 14 trousers Is Rs.21,000. What will be the cost of 30 shirts and 20 trousers?
Rs.30,500  
Rs.30,000  
Rs.35,000  
Cannot be determined

Question 5 Explanation:
Let the cost of 1 shirt be Rs.$x$
And that of 1 trouser be Rs. $y$
$\begin{align} & Therefore\,\,21x+14y=21000 \\ & \Rightarrow \,3x+2y=3000\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,..............\left( i \right) \\ \end{align}$
Multiplying both sides by 10,
30x + 20y = 30000
And that of 1 trouser be Rs. $y$
$\begin{align} & Therefore\,\,21x+14y=21000 \\ & \Rightarrow \,3x+2y=3000\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,..............\left( i \right) \\ \end{align}$
Multiplying both sides by 10,
30x + 20y = 30000
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