# In the following question what will come in place of '?'.$$4 \dfrac{1}{7}\times \dfrac{21}{58}+\dfrac{9}{11}\times 165 = ?$$

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UP Police SI (दरोगा) Previous Paper 5 (Held On: 16 Dec 2017 Shift 2)
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1. $$1.35 \dfrac{1}{2}$$
2. $$134 \dfrac{1}{2}$$
3. $$136\dfrac{1}{2}$$
4. $$132\dfrac{1}{2}$$

## Answer (Detailed Solution Below)

Option 3 : $$136\dfrac{1}{2}$$
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## Detailed Solution

CONCEPT:

Rules of Approximation:

1. If a number have digits to the right of the decimal less than 5. Then just drop the digits to the right of the decimals. The number so obtained will be the approximated value.

2. If a number have digits to the right of the decimal more than 5. Then just drop the digits to the right of the decimals and raise the remaining number by '1'.The number so obtained will be the approximated value.

Follow BODMAS rule to solve this question, as per the order given below,

CALCULATION :

Given expression is,

$$\Rightarrow 4 \dfrac{1}{7}\times \dfrac{21}{58}+\dfrac{9}{11}\times 165 = ?$$

$$\Rightarrow \dfrac{29}{7} \times \dfrac{21}{58} + \dfrac{9}{11} \times 165 = ?$$

$$\Rightarrow \dfrac{3}{2} + 9 \times 15 = ?$$

$$\Rightarrow \dfrac{3}{2} + 135 = ?$$

$$\therefore ? = \dfrac{273}{2} = 136\dfrac{1}{2}$$
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