SSC CHSL Simplification Questions Solved Problems with Detailed Solutions [Free PDF]

The value of \(441\div\left[270\div\frac\ of\ 35+\left(17\div\frac\right)-\left(8\frac-\frac\right)\right]\) is:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 1 Detailed Solution

Concept

Calculation

⇒ 441 ÷ [ 270 ÷ 15 + 51 - 6]

⇒ 441 ÷ [ 18 + 51 - 6]

∴ The value of \(441\div\left[270\div\frac\ of\ 35+\left(17\div\frac\right)-\left(8\frac-\frac\right)\right]\) is 7

SSC CHSL Simplification Questions Question 2:

SSC CHSL Simplification Questions Question 2 Detailed Solution

Concept

BODMAS rule applies here.

First solve bracket values, after it solves the values related with 'Of', Then Divided value, afterward Multiply values, Then addition and subtractions values.

Calculation

⇒ \(11 - 60\over \) × \(3\over 8\)

SSC CHSL Simplification Questions Question 3:

The value of \(42 \div 10 - \left(\frac<7>\times \frac\right)\:of\:\frac+\frac\times \frac-\left(\frac \div \frac\right)\) is:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 3 Detailed Solution

Follow the BODMAS rule according to the table given below:

⇒ 42 ÷ 10 – 7/12 of 6/5 + 16/3 × 9/10 – (1/6 ÷ 1/36)

⇒ 42 ÷ 10 – 7/12 of 6/5 + 16/3 × 9/10 – (1/6 × 36/1)

⇒ 42 ÷ 10 – 7/12 of 6/5 + 16/3 × 9/10 – 6

⇒ 42 ÷ 10 – 7/10 + 16/3 × 9/10 – 6

⇒ 42/10 – 7/10 + 24/5 – 6

∴ The required value is 2.3

SSC CHSL Simplification Questions Question 4:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 4 Detailed Solution

Given:

Concept used:

Calculation:

⇒ 200/11 ÷ [7/33 + 13/3]

∴ Required answer is 4

SSC CHSL Simplification Questions Question 5:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 5 Detailed Solution

Calculations :

25% of 480 + 30% of 500 + x% of 90 = 35% of 900

⇒ (25/100) of 480 + (30/100) of 500 + (x/100) of 90 = (35/100) of 900

⇒ 120 + 150 + (9x/10) = 315

∴ The correct choice will be option 2.

SSC CHSL Simplification Questions Question 6:

The value of \(\left(1\frac<1>\div\frac\right)\div\left[\left(\frac<1>\:of1\frac<1>\right)\div\left(3\frac<1>\:-1\frac<1>\right)\:of\frac-\frac\div2\frac<1>\right]\:of\frac\) is:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 6 Detailed Solution

Follow the BODMAS rule according to the table given below:

⇒ (9/8 ÷ 3/4) ÷ [(1/2 of 3/2) ÷ (7/2 – 5/4) of 3/4 – 3/4 ÷ 9/4] of 3/4

⇒ (9/8 × 4/3) ÷ [(3/4) ÷ (9/4) of 3/4 – 1/3] of 3/4

⇒ (3/2) ÷ [(3/4) ÷ 27/16 – 1/3] of 3/4

⇒ (3/2) ÷ [3/4 × 16/27 – 1/3] of 3/4

⇒ (3/2) ÷ [4/9 – 1/3] of 3/4

∴ The required value is 18

SSC CHSL Simplification Questions Question 7:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 7 Detailed Solution

Given:

[7 + 7 × ( 7 + 7 ÷ 7)] + 7 ÷ 7.

Concept used:

Calculation:

⇒ [7 + 7 × ( 7 + 7 ÷ 7)] + 7 ÷ 7.

∴ The value is 64.

SSC CHSL Simplification Questions Question 8:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 8 Detailed Solution

Given :

\(8 - [8 - (5 + 8) - \ < 8 - (8 - 5 + 8)\>+ 10]\)

Concept used :

Calculation :

∴ This value is 0

SSC CHSL Simplification Questions Question 9:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 9 Detailed Solution

Concept Used:

Calculations:

Considering the given equation,

⇒ 10 – [121 ÷ (121) + 4 + 4] = ?

⇒ 10 – [121/121 + 4 + 4] = ?

∴ The value of ? is 1.

SSC CHSL Simplification Questions Question 10:

The value of \(\left[ 5 \frac 4 9 ÷ \left( \frac <11>4 - \frac 6 \right)^2 \right]\) ÷ [ \(7\frac 3 <11>\) of \(8 \frac 4 5 \div 1 \frac 5 7 - \frac 4 3\) ] 2 is:

1. \(\frac 1 \)
2. \(\frac 1 \)
3. \(\frac 1 \)
4. \(\frac 1 \)

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 10 Detailed Solution

Concept used:

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

Calculation:

\(\left[ 5 \frac 4 9 ÷ \left( \frac 4 - \frac 6 \right)^2 \right] ÷ [7\frac 3 \: of\: 8 \frac 4 5 \div 1 \frac 5 7 - \frac 4 3]^2\)

∴ 1/81

SSC CHSL Simplification Questions Question 11:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 11 Detailed Solution

Concept used:

Calculation:

3 × 6 ÷ 4 of 6 – 6 ÷ 2 × (4 - 6) + 4 – 2 × 3 ÷ 6 of 1/3

⇒ 3 × 6 ÷ 4 of 6 – 6 ÷ 2 × -2 + 4 – 2 × 3 ÷ 6 of 1/3

⇒ 3 × 6 ÷ 24 – 6 ÷ 2 × -2 + 4 – 2 × 3 ÷ 2

⇒ 3 × 1/4 – 3 × -2 + 4 – 2 × 3/2

SSC CHSL Simplification Questions Question 12:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 12 Detailed Solution

Calculation:

∴ The correct answer is 1.0525 .

SSC CHSL Simplification Questions Question 13:

The simplified value of \(\Rightarrow \frac<1> \ of \ \frac\div \left\lbrace 2\frac<1>-\left(\frac+ \frac\times 1 \frac\div \frac\right)\right\rbrace\) is:

Answer (Detailed Solution Below)

SSC CHSL Simplification Questions Question 13 Detailed Solution

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

Step - 1 - Parts of an equation enclosed in 'Brackets' must be solved first,

Step - 2 - Any mathematical 'Of' or 'Exponent' must be solved next,

Step - 3 - Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated,

Step - 4 - Last but not least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Now, given expression:

\(\Rightarrow \frac \ of \ \frac\div \left\lbrace 2\frac-\left(\frac+ \frac\times 1 \frac\div \frac\right)\right\rbrace\)

\(\Rightarrow \frac\times \frac\div \left\lbrace \frac-\left( \frac + \frac\times \frac \div \frac\right)\right\rbrace\)

\(\Rightarrow \ \frac\div \left\lbrace \frac-\left(\frac+ \frac \times \frac\times \frac\right)\right\rbrace\)

\(\Rightarrow \frac\div \left\lbrace \frac-\left(\frac+\frac\right)\right\rbrace\)

\(\Rightarrow \ \frac\div \left\lbrace \frac-\frac\right\rbrace\)

\(\Rightarrow \frac\times \frac=4\)