Numerical Applications Test 9

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Numerical Applications Test 9

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Weekly Quiz Competition

Question 1
1 / -0

How many days are there in x weeks x days?

A
$$\displaystyle 7{ x }^{ 2 }$$

B
$$\displaystyle 8x$$

C
$$\displaystyle 14x$$

D
7

Solution

x weeks x days = (7x + x) days = 8x days.
Question 2
1 / -0

January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?

A
Monday

B
Wednesday

C
Thursday

D
Sunday

Solution

The year 2008 is a leap year. So, it has 2 odd days.
1st day of the year 2008 is Tuesday (Given)
So, 1st day of the year 2009 is 2 days beyond Tuesday.
Hence, it will be Thursday.
Question 3
1 / -0

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A
3 km/hr

B
5 km/hr

C
8 km/hr

D
9 km/hr

Solution

Speed in still water $$=\frac{1}{2}(11+5)kmph=8kmph$$
Question 4
1 / -0

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

A
130

B
360

C
500

D
540

Solution

$$Speed = \left( 78 \times \dfrac{5}{18} \right) m/sec = \left( \dfrac{65}{3} \right) m/sec$$
Time = 1 minute = 60 seconds.
Let the length of the tunnel be x metres.
Then, $$\left( \dfrac{800 + x}{60} \right) = \dfrac{65}{3}$$
$$\Rightarrow 3 (800 + x) = 3900$$
$$\Rightarrow x = 500$$
Question 5
1 / -0

A 300 metre long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

A
320 m

B
350 m

C
650 m

D
Data inadequate

Solution

$$Speed = \left( \dfrac{300}{8} \right) m/sec = \dfrac{50}{3} m/sec$$
Let the length of the platform be x metres.
Then, $$\left( \dfrac{x + 300}{39} \right) = \dfrac{50}{3}$$
$$\Rightarrow 3(x + 300 ) = 1950$$
$$\Rightarrow x = 350 m$$
Question 6
1 / -0

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is

A
45 km/hr

B
54 km/hr

C
66 km/hr

D
82 km/hr

Solution

Let the speed of the second train be x km/hr
Relative speed = (x + 50) km/hr
Question 7
1 / -0

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is

A
200 m

B
225 m

C
245 m

D
250 m

Solution

$$Speed=(45\times \dfrac{5}{18})m/sec$$
Time = 30 sec.
Let the length of bridge be x metres.
Then, $$\dfrac{130 + x}{30} = \dfrac{25}{2}$$
$$\Rightarrow 2(130 +x) = 750$$
$$\Rightarrow x = 245 m$$
Question 8
1 / -0

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A
4

B
8

C
12

D
16

Solution

Let the required number of bottles be x.
More weavers, More mats (Direct Proportion)
More days, More mats (Direct Proportion)
$$\left.\begin{matrix}Wavers & 4 : 8 \\ Days & 4 : 8 \end{matrix}\right\} :: 4 : x$$
$$\therefore 4 \times 4 \times x = 8 \times 8 \times 4$$
$$\Rightarrow x = \dfrac{(8 \times 8 \times 4)}{(4 \times 4)}$$
$$\Rightarrow x = 16$$
Question 9
1 / -0

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is

A
30 km/hr

B
45 km/hr

C
60 km/hr

D
75 km/hr

Solution

Let the speed of the slower train be x m/sec.
Then, speed of the fater train = 2x m/sec.
Relative speed = (x + 2x) m/sec = 3x m/sec.
$$\therefore \dfrac{100 + 100}{8} = 3x$$
$$\Rightarrow 24 x = 200$$
$$\Rightarrow 24 x = 200$$
$$\Rightarrow x = \dfrac{25}{3}$$
So, speed of the faster train $$= \dfrac{50}{3} m/sec$$
$$\left( \dfrac{50}{3} \times \dfrac{18}{5} \right) km/hr$$
$$= 60 km /hr$$
Question 10
1 / -0

On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?

A
Sunday

B
Thursday

C
Tuesday

D
Friday

Solution

The year 2006 is an ordinary year. So, it has 1 odd day.
So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.
But, 8th Dec, 2007 is Saturday.
$$\displaystyle \therefore $$ 8th Dec, 2006 is Friday.

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Re-Attempt Weekly Quiz Competition

Numerical Applications Test 9

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Numerical Applications Test 9

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SHARING IS CARING

Question 1

$$\displaystyle 7{ x }^{ 2 }$$

$$\displaystyle 8x$$

$$\displaystyle 14x$$

7

Solution

Question 2

Monday

Wednesday

Thursday

Sunday

Solution

Question 3

3 km/hr

5 km/hr

8 km/hr

9 km/hr

Solution

Question 4

130

360

500

540

Solution

Question 5

320 m

350 m

650 m

Data inadequate

Solution

Question 6

45 km/hr

54 km/hr

66 km/hr

82 km/hr

Solution

Question 7

200 m

225 m

245 m

250 m

Solution

Question 8

4

8

12

16

Solution

Question 9

30 km/hr

45 km/hr

60 km/hr

75 km/hr

Solution

Question 10

Sunday

Thursday

Tuesday

Friday

Solution

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