Mix Test

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Mix Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

If the area of a rectangular plot is \(180 sq . m\) and its length is \(15 m\), then its breadth is:

A
\(12 m\)

B
\(14 m\)

C
\(60 m\)

D
\(9 m\)

Solution

Given,
Length \(=15 m\)
Let Breadth \(=x\)
Area of a rectangle \(=180 sq \cdot m\)
As we know,
Area of a rectangle \(=\) Length \(\times\) Breadth
\(180=\) Length \(\times\) Breadth
\(\Rightarrow 180=\) Length \(\times x\)
\(\Rightarrow 180=15 \times x\)
\(\Rightarrow x=\frac{180}{15}\)
\(\Rightarrow x=12 m\)
So, its breadth is \(12 m\).
Hence, the correct option is (A).
Question 2
1 / -0

Direction: What approximate value should come in the place of question mark (?).

\(120.09 ÷ 14.88 × 23.03 – 20.94 × 3.96 = ?\)

A
\(100\)

B
\(125\)

C
\(90\)

D
\(110\)

Solution

Given,

\(120.09 ÷ 14.88 × 23.03 – 20.94 × 3.96 = ?\)

\(\Rightarrow ?=120.09 \div 14.88 \times 23.03-20.94 \times 3.96\)

\(\Rightarrow ?= 120 \div 15 \times 23-21 \times 4\)

\(\Rightarrow ?= 8 \times 23-21 \times 4\)

\(\Rightarrow ? =184-84\)

\(\Rightarrow ?= 100\)

Hence, the correct option is (A).
Question 3
1 / -0

Direction: What approximate value should come in the place of question mark (?).

\(61 – 5.4 × 16.2 + 24.3 = ?\)

A
\(5\)

B
\(10\)

C
\(–15\)

D
\(–10\)

Solution

Given,

\(61 – 5.4 × 16.2 + 24.3 = ?\)

\(\Rightarrow?=61-5.4 \times 16.2+24.3\)

\(\Rightarrow ?=61-5 \times 16+24\)

\(\Rightarrow? =61-80+24\)

\(\Rightarrow ?= 5\)

Hence, the correct option is (A).
Question 4
1 / -0

Compute \(150 \%\) of \(60 \).

A
\(\frac{1}{9}\)

B
\( 900\)

C
\(0.009\)

D
\(90\)

Solution

Given,
\(150 \%\) of \(60\)
\(=\left(\frac{150}{100}\right) \times 60 \)
\(=\left(\frac{3}{2}\right) \times 60 \)
\(=3 \times 30 \)
\(=90\)
\(\therefore\) The value of \(150 \%\) of \(60\) is \(90\).
Hence, the correct option is (D).
Question 5
1 / -0

Suhani walks \(30\) metres in \(1\) minutes. How much distance, she will cover in \(6\) minutes?

A
\(180\) metres

B
\(280\) metres

C
\(100\) metres

D
\(120\) metres

Solution

Given,
Distance \(=30\) metres
Time \(=1\) minutes
As we know,
Speed \(=\frac{\text { Distance }}{\text { Time }}\)
Distance \(=\) Speed \(\times\) Time
In first condition:
\(\Rightarrow\) Speed \(=\frac{30}{1}=30\) metres \(/\) minutes
In second condition:
Distance \(=\) Speed \(\times\) Time
\(\Rightarrow\) Distance \(=30 \times 6=180\) metres
\(\therefore\) The distance covered by Suhani is \(180\) metres.
Hence, the correct option is (A).
Question 6
1 / -0

Simplify \(27-[18-\{16-(5-4-1)\}]\).

A
\(29\)

B
\(28\)

C
\(27\)

D
\(25\)

Solution

Given,
\(27-[18-\{16-(5-4-1)\}]\)
\(=27-[18-\{16-0\}]\)
\(=27-[18-16]\)
\(=27-2\)
\(=25\)
Hence, the correct option is (D).
Question 7
1 / -0

A car travels \(300 km\) in \(5.5 hrs\) and another \(400 km\) in \(8.5 hrs\). Find the average speed of the car during the entire journey.

A
\(46 km / hr\)

B
\(50 km / hr\)

C
\(49 km / hr\)

D
\(60 km / hr\)

Solution

As we know,
Speed \(=\frac{\text { distance }}{\text { Time }}\)
Total distance travelled \(=300+400=700 km\)
Total time taken \(=5.5+8.5=14 hrs\)
\(\therefore\) Average speed \(=\frac{\text { Total distance travelled }}{\text { Total Time taken }}\)
\(=\frac{700}{14}\)
\(=50 km / hr\)
Hence, the correct option is (B).
Question 8
1 / -0

Simplify \(36-[18-\{14-(15-4 \div 2 \times 2)\}]\).

A
\(40\)

B
\(30\)

C
\(20\)

D
\(21\)

Solution

Given,
\(36-[18-\{14-(15-4 \div 2 \times 2)\}] \)
\(=36-\left[18-\left\{14-\left(15-\frac{4}{2} \times 2\right)\right\}\right] \)
\(=36-[18-\{14-11\}] \)
\(=36-[18-3] \)
\(=36-15 \)
\(=21\)
Hence, the correct option is (D).
Question 9
1 / -0

If the perimeter of a square is \(36 cm\), then its area is:

A
\(6 cm ^{2}\)

B
\(9 cm ^{2}\)

C
\(18 cm ^{2}\)

D
\(81 cm ^{2}\)

Solution

Given,
Perimeter of a square \(=36 cm\)
As we know,
Perimeter of a square \(=4 \times\) length of a side
\(\Rightarrow 4 \times\) length of a side \(=36\)
\(\Rightarrow\) length of a side \(=\frac{36}{4}=9 cm\)
Area of a square \(=\)(Length of a side)\(^{2}=(9 cm )^{2}=81 cm ^{2}\)
Hence, the correct option is (D).
Question 10
1 / -0

If \(100 \%\) of a number is \(15\), what is \(50 \%\) of the number?

A
\(5\)

B
\(75\)

C
\(50\)

D
\(7.5\)

Solution

Let \(n\) be the number.
\(100 \%\) of a number is \(15\) is written as:
\(100 \% \times n=15\)
\(\Rightarrow n=15\)
We now need to find \(50 \%\) of the number
\(50 \%\) of \(15\)
\(=\left(\frac{50}{100}\right) \times 15\)
\(=\frac{750}{100}\)
\(=7.5\)
Hence, the correct option is (D).

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Re-Attempt Weekly Quiz Competition

Mix Test - 6

Result

Mix Test - 6

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SHARING IS CARING

Question 1

\(12 m\)

\(14 m\)

\(60 m\)

\(9 m\)

Solution

Question 2

\(100\)

\(125\)

\(90\)

\(110\)

Solution

Question 3

\(5\)

\(10\)

\(–15\)

\(–10\)

Solution

Question 4

\(\frac{1}{9}\)

\( 900\)

\(0.009\)

\(90\)

Solution

Question 5

\(180\) metres

\(280\) metres

\(100\) metres

\(120\) metres

Solution

Question 6

\(29\)

\(28\)

\(27\)

\(25\)

Solution

Question 7

\(46 km / hr\)

\(50 km / hr\)

\(49 km / hr\)

\(60 km / hr\)

Solution

Question 8

\(40\)

\(30\)

\(20\)

\(21\)

Solution

Question 9

\(6 cm ^{2}\)

\(9 cm ^{2}\)

\(18 cm ^{2}\)

\(81 cm ^{2}\)

Solution

Question 10

\(5\)

\(75\)

\(50\)

\(7.5\)

Solution

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