- This is an assessment test.
- These tests focus on the basics of Maths and are meant to indicate your preparation level for the subject.
- Kindly take the tests in this series with a pre-defined schedule.

## 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 nine-thirteenth 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

$\begin{align} & Therfore\,\,x+\frac{x}{3}+\frac{13x}{9}=125 \\ & \Rightarrow \frac{9x+3x+13x}{9}=125 \\ & \Rightarrow 25x=125\times 9 \\ & \Rightarrow x=\frac{125\times 9}{25}=45 \\ & Therefore\,\,\operatorname{Re}quired\,\,difference \\ & =\frac{13x}{9}-\frac{x}{3} \\ & =\frac{13x-3x}{9}=\frac{10x}{9} \\ & =\frac{10}{9}\times 45=50\,\,years \\ \end{align}$

Therefore His daughter’s present age = $\frac{x}{3}$years

His mother’s present age = $\frac{13x}{9}$years

$\begin{align} & Therfore\,\,x+\frac{x}{3}+\frac{13x}{9}=125 \\ & \Rightarrow \frac{9x+3x+13x}{9}=125 \\ & \Rightarrow 25x=125\times 9 \\ & \Rightarrow x=\frac{125\times 9}{25}=45 \\ & Therefore\,\,\operatorname{Re}quired\,\,difference \\ & =\frac{13x}{9}-\frac{x}{3} \\ & =\frac{13x-3x}{9}=\frac{10x}{9} \\ & =\frac{10}{9}\times 45=50\,\,years \\ \end{align}$

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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