Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 12

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Weekly Quiz Competition

Question 1
4 / -1

If cosecθ - cotθ = p, then cosecθ + cotθ

A
p

B
-p

C
1/p

D
1/p²

Solution
Question 2
4 / -1

The following table shows the number of people who were admitted to and who left the college over the years.

The number within the bracket shows the class strength. Total strength of respective colleges are given in the brackets. A = admitted L = left

Find the ratio of the strength of college C in 2001 to that of college D in 2005.

A
110:117

B
113:120

C
109:63

D
120: 121

Solution
Question 3
4 / -1

In a canteen everyday there was a provision of food for 600 students. In morning they had the option of one or more drink from the three given options (Tea, coffee and milk). Here some information is given below and based on that information you have to answer the following questions.

1. A1 = No. of students who drink only tea.

2. A2 = No. of students who drink only coffee.

3. A3 = No. of students who drink only Milk.

4. A4 = No. of students who drink tea and coffee but not milk.

5. A5 = No. of students who drink tea and milk but not coffee.

6. A6 = No. of students who drink milk and coffee but not tea.

7. A7 = No. of students who had all the three drinks.

A1 + A6= 195 and A1 : A6= 8:5

A2 + A5 = 150 and A2 : A5 = 2 : 1

A3 + A4= 230 and A3 : A4= 15:8

What is the value of A7?

A
.30

B
35

C
25

D
20

Solution

A₁ + A₆= 195

A₂ + A₅ = 150

A₃ + A₄= 230 Adding we get sum (A₁to A₆) = 575 And Sum A₁ to A₇ = 600. Hence A₇ = 25.
Question 4
4 / -1

Study the following table carefully to answer these questions. The table given below shows a frequency distribution of the life-times of 400 tyres tested at B & C Tyre Company.

The percentage of tyres, life-times of which do not exceed 600 hours, is

A
30.5%

B
28.5%

C
29.5%

D
30%

Solution

Tyres less than 600 hrs life time: 114. Percentage – 114/400 = 28.5%
Question 5
4 / -1

Directions: The following line graph shows the imports (in Lakh) and exports (in Lakh) of a company over six years.

Import of the company in 2008 is what percent less than the export of the company in 2010?

A
19.765%

B
21.875%

C
25.123%

D
23.112%

Solution
Question 6
4 / -1

Directions: The following line graph shows the imports (in Lakh) and exports (in Lakh) of a company over six years.

Find the ratio of export to import of the company in the year 2012.

A
10:9

B
11:8

C
9:10

D
8:11

Solution

Export of the company in 2012 = Rs.4.4 Lakh

Import of the company in 2012 = Rs.3.2 Lakh

Required ratio = 4.4:3.2 = 11:8
Question 7
4 / -1

Directions: The following line graph shows the imports (in Lakh) and exports (in Lakh) of a company over six years.

Find the sum of Imports of the company in all the given years.

A
Rs.1560000

B
Rs.1680000

C
Rs.1840000

D
Rs.1720000

Solution

Import of the company in 2008 = Rs.2.5 Lakh

Import of the company in 2009 = Rs.3.4 Lakh

Import of the company in 2010 = Rs.2.7 Lakh

Import of the company in 2011 = Rs.3.8 Lakh

Import of the company in 2012 = Rs.3.2 Lakh

Import of the company in 2013 = Rs.2.8 Lakh

Required sum = 2.5 + 3.4 + 2.7 + 3.8 + 3.2 + 2.8

= Rs.18.4 Lakh

= Rs. 1840000
Question 8
4 / -1

Directions: The following line graph shows the imports (in Lakh) and exports (in Lakh) of a company over six years.

In how many years import is greater than the export?

A
2

B
1

C
3

D
4

Solution

Import of the company in 2008 = Rs.2.5 Lakh

Export of the company in 2008 = Rs.2.4 Lakh

=> Import > Export

Import of the company in 2009 = Rs.3.4 Lakh

Export of the company in 2009 = Rs.4.2 Lakh

=> Import < Export

Import of the company in 2010 = Rs.2.7 Lakh

Export of the company in 2010 = Rs.3.2 Lakh

=> Import < Export

Import of the company in 2011 = Rs.3.8 Lakh

Export of the company in 2011 = Rs.3.6 Lakh

=> Import > Export

Import of the company in 2012 = Rs.3.2 Lakh

Export of the company in 2012 = Rs.4.4 Lakh

=> Import < Export

Import of the company in 2013 = Rs.2.8 Lakh

Export of the company in 2013 = Rs.5.6 Lakh

=> Import < Export
Question 9
4 / -1

Directions: The following line graph shows the imports (in Lakh) and exports (in Lakh) of a company over six years.

Find the difference between the exports of the company in 2008, 2009 and 2010 together and that of in 2011, 2012 and 2013 together.

A
Rs.320000

B
Rs.240000

C
Rs.276000

D
Rs.380000

Solution

Export of the company in 2008 = Rs.2.4 Lakh

Export of the company in 2009 = Rs.4.2 Lakh

Export of the company in 2010 = Rs.3.2 Lakh

Exports of the company in 2008, 2009 and 2010 together = 2.4 + 4.2 + 3.2 = Rs.9.8 Lakh

Export of the company in 2011 = Rs.3.6 Lakh

Export of the company in 2012 = Rs.4.4 Lakh

Export of the company in 2013 = Rs.5.6 Lakh

Exports of the company in 2011, 2012 and 2013 together = 3.6 + 4.4 + 5.6 = Rs.13.6 Lakh

Required difference = 13.6 - 9.8 = Rs.3.8 Lakh = Rs.380000
Question 10
4 / -1

Directions: The following line graph shows the imports (in Lakh) and exports (in Lakh) of a company over six years.

If the import of the company in 2012 in decreased by 10% and export is increased by 10%, Import of the company in 2012 forms what percent of the export of the company?

A
63.4%

B
59.5%

C
57.6%

D
53.2%

Solution

Import of the company in 2012 = Rs.3.2 Lakh

After decrement, import of the company in 2012 = 3.2 x 90/100 = Rs.2.88 Lakh

Export of the company in 2012 = Rs.4.4 Lakh

After increment, export of the company in 2012 = 4.4 x 110/100 = Rs.4.84 Lakh

Required percentage = 2.88/4.84 x 100 = 59.5%