SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 176

Arithmetic

The given histogram shows the height of the students. What is the percentage of students whose height is in the class interval of 160-170? (correct to the nearest integer)

Question 177

Arithmetic

If x 4 + x -4 = 194, x > 0, then the value of \(x+\dfrac{1}{x}\)  is:

Question 178

Arithmetic

Sunita invested Rs. 12,000 on simple interest at the rate of 10% p.a. to obtain a total amount of Rs. 20,400 after a certain period. For how many years did she invest to obtain the above amount?

Question 179

Arithmetic

If a nine-digit number 785x3678y is divisible by 72, then the value of (x - y) is :

-2

-1

Question 180

Arithmetic

The price of diesel increased by 16%. A person wants to increase his expenditure on diesel by 10% only. By what percentage, correct to one decimal place, should be reduce his consumption?

3.7%

4.5%

5.2%

6.5%

Question 181

Arithmetic

A person was standing on a road near a mall. He was 1425 m away from the mall and able to see the top of the mall from the road in such a way that the top of a tree, which is in between him and the mall, was exactly in line of sight with the top of the mall. The height of the tree is 10 m and it is 30 m away from him. How tall (in m) is the mall?

475

300

525

425

Question 182

Arithmetic

The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the fifth and sixth numbers is:

Question 183

Arithmetic

The given bar graph shows the number of students of two schools over a period of six years. In the bar graph, what is the ratio of the students taken for the years 2009, 2011, 2013 together from school A to the students taken for the years 2008, 2012, 2013 together from school B?

25 &ratio; 17 

17 &ratio; 25

18 &ratio; 25

25 &ratio; 18

Question 184

Arithmetic

A ladder leaning against a wall makes an angle θ with the horizontal ground such that  \(\cos \theta = \dfrac{5}{13}\) . If the height of the top of the ladder from the foot of the wall is 18 m, then what is the distance (in m) of the foot of the ladder from the wall?

19.5

7.5

Question 185

Arithmetic

The given pie chart represents the popularity of ice-cream flavours in the year 2005. In 2005, if 10% of the 'other' category is mix fruit flavour and 1570 people surveyed preferred mix fruit flavour, then how many people were surveyed?

4,00,000

1,50,000

1,00,000

1,75,000

Question 186

Arithmetic

If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage more than (x + 20)% of 180? (correct to the nearest integer)

90%

80%

136%

154%

Question 187

Arithmetic

The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertices, circles of radius 4.2 cm are drawn. What is the area (in cm 2 ) of the triangle, excluding the portion covered by the section of the circles? \(\left(\pi = \dfrac{22}{7}\right)\)

120

27.72

92.28

105.86

Question 188

Arithmetic

In a ΔABC, the bisectors of &ang;B and &ang;C meet at O. If &ang;BOC = 142°, then the measure of &ang;A is:      

52° 

68° 

116° 

104° 

Question 189

Arithmetic

Two successive discounts, each of x% on the marked price of an article, are equal to a single discount of Rs. 331.20. If the marked price of the article is Rs. 920, then the value of x is:

Question 190

Arithmetic

The given histogram shows the height of the students. The difference between the number of students whose height is between 150-155 cm and the number of students whose height lies between 175-180 cm is:

Question 191

Arithmetic

A is twice as good a workman as B and together they finish a piece of work in 13 days. In how many days will B alone finish the work?

19.5

Question 192

Arithmetic

If \((5\sqrt{5}x^3 - 3\sqrt{3}y^3) \div (\sqrt{5}x-\sqrt{3}y) = (Ax^2 + By^2+ Cxy)\) , then the value of  \((3A+ B- \sqrt{15} C)\)  is:

Question 193

Arithmetic

The value of 8 - 3 ÷ 6 of  \(2+\left(4 \div 4 \ of \ \frac{1}{4}\right)\div 8 + \left(4\times 8 \div \frac{1}{4}\right)\times \frac{1}{8}\)  is:

\(-\dfrac{97}{4}\)

\(\dfrac{7}{4}\)

\(-\dfrac{7}{4}\)

\(\dfrac{97}{4}\)

Question 194

Arithmetic

In ΔABC, BD &perp; AC at D, E is a point on BC such that &ang;BEA = x°. If &ang;EAC = 46° and &ang;EBD = 60°, then the value of x is:       

76° 

72° 

78° 

68° 

Question 195

Arithmetic

A person sold an article at a loss of 16%. Had he sold it for Rs. 660 more, he would have gained 8%. What should be the selling price (in Rs.) to gain a profit of 12%?

2,970

3,200

2,750

3,080

Question 196

Arithmetic

A sum amounts to Rs. 7,562 in 4 years and to Rs. 8,469.44 in 5 years at a certain rate per cent per annum, when the interest is compounded yearly. The rate of interest is:

12%

20%

15%

Question 197

Arithmetic

A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require for walking a 40 km distance?

Question 198

Arithmetic

Two numbers are in the ratio 7 &ratio; 11. If their HCF is 28, then the difference between the two numbers is:

196

308

112

Question 199

Arithmetic

A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x, then what is the length of x (in m)?

200

168

210

252

Question 200

Arithmetic

The given pie chart represents the popularity of ice-cream flavours in the year 2015. In 2015, if the total sale of vanila flavour is for Rs. 3,300 then the total sale (in Rs.) for chocolate flavour is:

Rs. 5,160

Rs. 4,100

Rs. 4,120

Rs. 3,320

1 2 3 4 5 6 7 8 9 10 11 12

The given histogram shows the height of the students. What is the percentage of students whose height is in the class interval of 160-170? (correct to the nearest integer)

If x 4 + x -4 = 194, x &gt; 0, then the value of \(x+\dfrac{1}{x}\) &nbsp;is:

Sunita invested Rs. 12,000 on simple interest at the rate of 10% p.a. to obtain a total amount of Rs. 20,400 after a certain period. For how many years did she invest to obtain the above amount?

If a nine-digit number 785x3678y is divisible by 72, then the value of (x - y) is :

The price of diesel increased by 16%. A person wants to increase his expenditure on diesel by 10% only. By what percentage, correct to one decimal place, should be reduce his consumption?

The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the fifth and sixth numbers is:

The given bar graph shows the number of students of two schools over a period of six years. In the bar graph, what is the ratio of the students taken for the years 2009, 2011, 2013 together from school A to the students taken for the years 2008, 2012, 2013 together from school B?

A ladder leaning against a wall makes an angle &theta; with the horizontal ground such that&nbsp; \(\cos \theta = \dfrac{5}{13}\) . If the height of the top of the ladder from the foot of the wall is 18 m, then what is the distance (in m) of the foot of the ladder from the wall?

The given pie chart represents the popularity of ice-cream flavours in the year 2005. In 2005, if 10% of the 'other' category is mix fruit flavour and 1570 people surveyed preferred mix fruit flavour, then how many people were surveyed?

If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage more than (x + 20)% of 180? (correct to the nearest integer)

The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertices, circles of radius 4.2 cm are drawn. What is the area (in cm 2 )&nbsp;of the triangle, excluding the portion covered by the section of the circles? \(\left(\pi = \dfrac{22}{7}\right)\)

In a &Delta;ABC, the bisectors of&nbsp;&ang;B and&nbsp;&ang;C meet at O. If&nbsp;&ang;BOC = 142&deg;, then the measure of&nbsp;&ang;A is:&nbsp; &nbsp; &nbsp;&nbsp;

Two successive discounts, each of x% on the marked price of an article, are equal to a single discount of Rs. 331.20. If the marked price of the article is Rs. 920, then the value of x is:

The given histogram shows the height of the students. The difference between the number of students whose height is between 150-155 cm and the number of students whose height lies between 175-180 cm is:

A is twice as good a workman as B and together they finish a piece of work in 13 days. In how many days will B alone finish the work?

If \((5\sqrt{5}x^3 - 3\sqrt{3}y^3) \div (\sqrt{5}x-\sqrt{3}y) = (Ax^2 + By^2+ Cxy)\) , then the value of&nbsp; \((3A+ B- \sqrt{15} C)\) &nbsp;is:

The value of 8 - 3 &divide; 6 of&nbsp; \(2+\left(4 \div 4 \ of \ \frac{1}{4}\right)\div 8 + \left(4\times 8 \div \frac{1}{4}\right)\times \frac{1}{8}\) &nbsp;is:

In &Delta;ABC, BD&nbsp;&perp; AC at D, E is a point on BC such that&nbsp;&ang;BEA = x&deg;. If&nbsp;&ang;EAC = 46&deg; and&nbsp;&ang;EBD = 60&deg;, then the value of x is:&nbsp; &nbsp; &nbsp; &nbsp;

A person sold an article at a loss of 16%. Had he sold it for Rs. 660 more, he would have gained 8%. What should be the selling price (in Rs.) to gain a profit of 12%?

A sum amounts to Rs. 7,562 in 4 years and to Rs. 8,469.44 in 5 years at a certain rate per cent per annum, when the interest is compounded yearly. The rate of interest is:

A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require for walking a 40 km distance?

Two numbers are in the ratio 7 &ratio; 11. If their HCF is 28, then the difference between the two numbers is:

A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x, then what is the length of x (in m)?

The given pie chart represents the popularity of ice-cream flavours in the year 2015. In 2015, if the total sale of vanila flavour is for Rs. 3,300 then the total sale (in Rs.) for chocolate flavour is:

If x 4 + x -4 = 194, x > 0, then the value of \(x+\dfrac{1}{x}\) is:

A ladder leaning against a wall makes an angle θ with the horizontal ground such that \(\cos \theta = \dfrac{5}{13}\) . If the height of the top of the ladder from the foot of the wall is 18 m, then what is the distance (in m) of the foot of the ladder from the wall?

The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertices, circles of radius 4.2 cm are drawn. What is the area (in cm 2 ) of the triangle, excluding the portion covered by the section of the circles? \(\left(\pi = \dfrac{22}{7}\right)\)

In a ΔABC, the bisectors of &ang;B and &ang;C meet at O. If &ang;BOC = 142°, then the measure of &ang;A is:

If \((5\sqrt{5}x^3 - 3\sqrt{3}y^3) \div (\sqrt{5}x-\sqrt{3}y) = (Ax^2 + By^2+ Cxy)\) , then the value of \((3A+ B- \sqrt{15} C)\) is:

The value of 8 - 3 ÷ 6 of \(2+\left(4 \div 4 \ of \ \frac{1}{4}\right)\div 8 + \left(4\times 8 \div \frac{1}{4}\right)\times \frac{1}{8}\) is:

In ΔABC, BD &perp; AC at D, E is a point on BC such that &ang;BEA = x°. If &ang;EAC = 46° and &ang;EBD = 60°, then the value of x is: