Quantitative Skills Test-1

Result

Quantitative Skills Test-1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Consider the following pairs:

a. 5 and 105

b. 15 and 105

c. 15 and 35

Which of the above pairs have H.C.F. as 5 and L.C.M. as 105?

A
Only a

B
Only b

C
Only c

D
Both a and b

E
Both a and c

Solution

In 1st pair, we have H.C.F. =5 and L.C.M. =105. In 2nd pair, we have H.C.F. =15 and L.C.M. =105. In 3rd pair, we have H.C.F. =5 and L.C.M. =105. So, both (5,105) and (15, 35) have H.C.F. =5 and L.C.M. =105.
Question 2
1 / -0

Six different pencils and three bags are taken. Each pencil is to be put in one of these bags. No bag should remain empty and all bags should not have same number of pencils. In how many ways can this be done?

A
729

B
537

C
444

D
637

E
669

Solution

Each pencil can be put in one of three bags.

⇒ Number of ways in which this can be done = 3 × 3 × 3 × 3 × 3 × 3 = 729

Out of these, there can be some cases when one or more bags are empty, and when all bags have same number of pencils.

Case i) one bag is empty

Empty bag can be selected in ³C₁ ways i.e. 3 ways

Now, each pencil can be put in one of two ways.

Number of ways in which this can be done = 3 × (2 × 2 × 2 × 2 × 2 × 2) = 192

Case ii) two bags are empty

All pencils will be in one of three bags. This can be done in only 3 ways.

Case iii) three bags are empty. This case is not possible

Case iv) all bags have same number of pencils, i.e., 2 pencils.

⇒ We have to select two pencils for each bag.

Number of ways in which this can be done = ⁶C₂× ⁴C₂× ²C₂= 15 × 6 × 1 = 90

∴ Total number of ways in which this can be done = 729 − 192 − 3 − 90 = 444
Question 3
1 / -0

Rs.12,500 lent at compound Interest for two years at 10% per annum fetches Rs._______more, if the interest was payable half yearly than if it was payable annually:

A
Rs. 12.48

B
Rs. 10.48

C
Rs. 38.50

D
Rs. 68.82

E
Rs. 70.82

Solution
Question 4
1 / -0

Rahil marks up all Shirts in his shop 20% higher. He gave a 25% discount on 2/5 th of the total Shirts and a 12\% discount on of the total Shirts. If Rahil gets an overall profit of 2.3%, then what percentage of discount should be given by Rahil to customers on the remaining Shirts?

A
20%

B
5%

C
10%

D
15%

E
None of these

Solution
Question 5
1 / -0

A trader sells two articles for Rs. 9520 each, one at a profit of 12% and the other at a loss of 15%. His overall percentage loss (correct to one decimal place) is:

A
3.8

B
3.1

C
4.4

D
3.4

E
3.5

Solution
Question 6
1 / -0

Directions For Questions

Directions : Study the following information carefully and answer the questions given beside.

Virat kohli scored runs against different countries in three different years.

NOTE: Total runs scored in a year= Australia + England + Others

2015: The total runs scored in 2015 were 1200. The runs scored against England were 1/3 rd of the runs against Others in 2016. The average runs scored against Australia and England was 300.

2016: The total runs scored against Australia and Others was 1200. The ratio of the total runs scored against Others in 2015 to that of the total runs scored against Others in 2016 is 4:3. The total runs scored against England in 2016 were equal to the total runs scored against England in 2017.

2017: The sum of the total runs scored against Australia and England is equal to the total runs scored against Others. The total runs scored in 2017 were 1400. The total runs scored against Australia were twice of the runs scored against England in 2015.

...view full instructions

What is the difference between the total runs scored against Others in 2015 to the total runs scored against Others in 2016?

A
150

B
200

C
100

D
300

E
250

Solution

2015:
The total runs scored in 2015 were 1200.
The average runs scored against Australia and England was 300 so the total runs scored against Australia and England was 600.
The total runs scored against others = 1200 – 600=600
2016:
The ratio of the total runs scored against Others in 2015 to that of the total runs scored against Others in 2016 is 4 : 3.
So the total runs against Others in 2016

The total runs scored against Australia and Others = 1200
The total runs scored against Australia = 1200 – 450 = 750
2017:
The total runs scored in 2017 were 1400.
The sum of the total runs scored against Australia and England is equal to the total runs scored against Others. It means the total runs scored against Others were is half i.e 700 runs and the sum of the total runs scored against Australia and England was 700.

Years Australia England Others

2015 (1200) 600

2016 750 450

2017 (1400) 700

2015:
The runs scored against England were 1/3rd of the runs against Others in 2016.
So the total runs scored against England were

The total runs scored against Australia = 600 – 150 = 450
2017:
The total runs scored against Australia were twice of the runs scored against England in 2015.
The total runs scored against Australia = 150 × 2 = 300
The total runs scored against England = 700 – 300 = 400
2016:
The total runs scored against England in 2016 were equal to the total runs scored against England in 2017.
The total runs scored against England= 400

Years Australia England Others

2015 (1200) 450 150 600

2016 (1600) 750 400 450

2017 (1400) 300 400 700

The total runs scored against Others in 2015 = 600
The total runs scored against Others in 2016 = 450
So, required difference = 600 – 450 = 150
Question 7
1 / -0

Directions For Questions

Directions : Study the following information carefully and answer the questions given beside.

Virat kohli scored runs against different countries in three different years.

NOTE: Total runs scored in a year= Australia + England + Others

2015: The total runs scored in 2015 were 1200. The runs scored against England were 1/3 rd of the runs against Others in 2016. The average runs scored against Australia and England was 300.

2016: The total runs scored against Australia and Others was 1200. The ratio of the total runs scored against Others in 2015 to that of the total runs scored against Others in 2016 is 4:3. The total runs scored against England in 2016 were equal to the total runs scored against England in 2017.

2017: The sum of the total runs scored against Australia and England is equal to the total runs scored against Others. The total runs scored in 2017 were 1400. The total runs scored against Australia were twice of the runs scored against England in 2015.

...view full instructions

What were the total runs scored in 2016?

A
1100

B
1500

C
1600

D
1400

E
1000

Solution

2015:
The total runs scored in 2015 were 1200.
The average runs scored against Australia and England was 300 so the total runs scored against Australia and England was 600.
The total runs scored against others = 1200 – 600=600
2016:
The ratio of the total runs scored against Others in 2015 to that of the total runs scored against Others in 2016 is 4 : 3.
So the total runs against Others in 2016

The total runs scored against Australia and Others = 1200
The total runs scored against Australia = 1200 – 450 = 750
2017:
The total runs scored in 2017 were 1400.
The sum of the total runs scored against Australia and England is equal to the total runs scored against Others. It means the total runs scored against Others were is half i.e 700 runs and the sum of the total runs scored against Australia and England was 700.

Years Australia England Others

2015 (1200) 600

2016 750 450

2017 (1400) 700

2015:
The runs scored against England were 1/3rd of the runs against Others in 2016.
So the total runs scored against England were

The total runs scored against Australia = 600 – 150 = 450
2017:
The total runs scored against Australia were twice of the runs scored against England in 2015.
The total runs scored against Australia = 150 × 2 = 300
The total runs scored against England = 700 – 300 = 400
2016:
The total runs scored against England in 2016 were equal to the total runs scored against England in 2017.
The total runs scored against England= 400

Years Australia England Others

2015 (1200) 450 150 600

2016 (1600) 750 400 450

2017 (1400) 300 400 700

The total runs scored in 2016 were 1600.
Question 8
1 / -0

Directions For Questions

Directions : Study the following information carefully and answer the questions given beside.

Virat kohli scored runs against different countries in three different years.

NOTE: Total runs scored in a year= Australia + England + Others

2015: The total runs scored in 2015 were 1200. The runs scored against England were 1/3 rd of the runs against Others in 2016. The average runs scored against Australia and England was 300.

2016: The total runs scored against Australia and Others was 1200. The ratio of the total runs scored against Others in 2015 to that of the total runs scored against Others in 2016 is 4:3. The total runs scored against England in 2016 were equal to the total runs scored against England in 2017.

2017: The sum of the total runs scored against Australia and England is equal to the total runs scored against Others. The total runs scored in 2017 were 1400. The total runs scored against Australia were twice of the runs scored against England in 2015.

...view full instructions

What is the sum of the runs scored against England in all three years?

A
800

B
950

C
850

D
1050

E
1100

Solution

2015:
The total runs scored in 2015 were 1200.
The average runs scored against Australia and England was 300 so the total runs scored against Australia and England was 600.
The total runs scored against others = 1200 – 600=600
2016:
The ratio of the total runs scored against Others in 2015 to that of the total runs scored against Others in 2016 is 4 : 3.
So the total runs against Others in 2016

The total runs scored against Australia and Others = 1200
The total runs scored against Australia = 1200 – 450 = 750
2017:
The total runs scored in 2017 were 1400.
The sum of the total runs scored against Australia and England is equal to the total runs scored against Others. It means the total runs scored against Others were is half i.e 700 runs and the sum of the total runs scored against Australia and England was 700.

Years Australia England Others

2015 (1200) 600

2016 750 450

2017 (1400) 700

2015:
The runs scored against England were 1/3rd of the runs against Others in 2016.
So the total runs scored against England were

The total runs scored against Australia = 600 – 150 = 450
2017:
The total runs scored against Australia were twice of the runs scored against England in 2015.
The total runs scored against Australia = 150 × 2 = 300
The total runs scored against England = 700 – 300 = 400
2016:
The total runs scored against England in 2016 were equal to the total runs scored against England in 2017.
The total runs scored against England= 400

Years Australia England Others

2015 (1200) 450 150 600

2016 (1600) 750 400 450

2017 (1400) 300 400 700

The total runs scored against England in all three years = 150 + 400 + 400 = 950
Question 9
1 / -0

Directions For Questions

Directions : Study the following information carefully and answer the questions given beside.

Virat kohli scored runs against different countries in three different years.

NOTE: Total runs scored in a year= Australia + England + Others

2015: The total runs scored in 2015 were 1200. The runs scored against England were 1/3 rd of the runs against Others in 2016. The average runs scored against Australia and England was 300.

2016: The total runs scored against Australia and Others was 1200. The ratio of the total runs scored against Others in 2015 to that of the total runs scored against Others in 2016 is 4:3. The total runs scored against England in 2016 were equal to the total runs scored against England in 2017.

2017: The sum of the total runs scored against Australia and England is equal to the total runs scored against Others. The total runs scored in 2017 were 1400. The total runs scored against Australia were twice of the runs scored against England in 2015.

...view full instructions

What is the ratio of the total runs scored against Australia in 2015 to that of the total runs scored against England in 2017?

A
7 : 9

B
9 : 7

C
11 : 7

D
9 : 8

E
11 : 13

Solution

2015:
The total runs scored in 2015 were 1200.
The average runs scored against Australia and England was 300 so the total runs scored against Australia and England was 600.
The total runs scored against others = 1200 – 600=600
2016:
The ratio of the total runs scored against Others in 2015 to that of the total runs scored against Others in 2016 is 4 : 3.
So the total runs against Others in 2016

The total runs scored against Australia and Others = 1200
The total runs scored against Australia = 1200 – 450 = 750
2017:
The total runs scored in 2017 were 1400.
The sum of the total runs scored against Australia and England is equal to the total runs scored against Others. It means the total runs scored against Others were is half i.e 700 runs and the sum of the total runs scored against Australia and England was 700.

Years Australia England Others

2015 (1200) 600

2016 750 450

2017 (1400) 700

2015:
The runs scored against England were 1/3rd of the runs against Others in 2016.
So the total runs scored against England were

The total runs scored against Australia = 600 – 150 = 450
2017:
The total runs scored against Australia were twice of the runs scored against England in 2015.
The total runs scored against Australia = 150 × 2 = 300
The total runs scored against England = 700 – 300 = 400
2016:
The total runs scored against England in 2016 were equal to the total runs scored against England in 2017.
The total runs scored against England= 400

Years Australia England Others

2015 (1200) 450 150 600

2016 (1600) 750 400 450

2017 (1400) 300 400 700

The total runs scored against Australia in 2015 = 450
The total runs scored against England in 2017 = 400
So, required ratio = 450 : 400 = 9 : 8
Question 10
1 / -0

40 men can complete a work in 40 days. They started working together. But 5 men kept on leaving the job every 10th day. In how many days work will be completed?

A
45 days

B
50 days

C
55.5 days

D
56.66 days

E
None of these

Solution

Total men days = 40 *40 = 1600 men days

40 men work in 10 days = 400 men days

35 men work in 10 days = 350 men days

30 men work in 10 days = 300 men days

25 men work in 10 days = 250 men days

20 men work in 10 days = 200 men days

Total men days till now = 400 + 350 + 300 + 250 + 200 = 1500 men days

Rest men days = 1600 - 1500 = 100 men days

Now, 15 men will work for complete 100 men days in = 100/15 = 6.66 days

So, total days = 10 *5 + 6.66 = 56.66 days