Question : The cost of 4 pens, 6 notebooks, and 9 files is Rs. 305. The cost of 3 pens, 4 notebooks and 2 files is Rs. 145. What is the cost (in Rs.) of 5 pens, 8 notebooks, and 16 files?
Option 1: 515
Option 2: 565
Option 3: 540
Option 4: Can not be determined
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Correct Answer: 565
Solution : Let the cost of 1 pen, 1 notebook and 1 file be Rs. $x, y$ and $z$, respectively. The cost of 4 pens, 6 notebooks, and 9 files is Rs. 305. The cost of 3 pens, 4 notebooks and 2 files is Rs. 145. So, $4x + 6y+ 9z = 305$ (Equation1) $3x + 4y + 2z = 145$ (Equation2) Performing 2 × (Equation1) – (Equation2), we get $5x + 8y + 16z = 2(305) - 145$ ⇒ $5x + 8y + 16z = 565$ Hence, the correct answer is 565.
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Question : The cost of 32 pens and 12 pencils is INR 790. What is the total cost (in INR) of 8 pens and 3 pencils together?
Option 1: 200.5
Option 2: 197.5
Option 3: 180.5
Option 4: 220.5
Question : The value of $\sqrt{9+2\sqrt{16}+\sqrt[3]{512}}$ is:
Option 1: 6
Option 2: 5
Option 3: $\sqrt[2]{8}$
Option 4: $\sqrt[3]{6}$
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and +, 9 and 6
Option 1: 7 × 6 ÷ 3 + 9 – 8 = 17
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 50
Option 3: 7 + 6 × 4 ÷ 9 – 8 = 8
Option 4: 9 × 7 + 4 ÷ 1 – 6 = 7
Question : Directions: By interchanging the given two signs which of the following equations will be not correct? + and –
Option 1: 8 ÷ 4 × 6 + 5 – 9 = 16
Option 2: 15 + 3 × 4 – 6 ÷ 2 = 6
Option 3: 3 × 2 – 72 ÷ 6 + 8 = 18
Option 4: 3 + 4 – 2 × 5 ÷ 1 = 9
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? + and –, 6 and 3
Option 1: 8 – 3 × 4 ÷ 6 + 9 = 18
Option 2: 8 + 4 × 6 ÷ 3 – 9 = 15
Option 3: 9 ÷ 3 × 4 – 6 + 7 = 10
Option 4: 6 ÷ 2 × 8 + 3 – 1 = 20
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