SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 76

Arithmetic

A and B can do a job in 10 days and 5 days, respectively, They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C alone take to finish 40% of the job?

15 days

12 days

18 days

10 days

Question 77

Arithmetic

The value of \(\frac{{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}}{{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5}}\)  is:

0.9

0.09

Question 78

Arithmetic

The price of diesel is increased by 26%. A person wants to increase his expenditure by 15% only. By what percentage, correct to one decimal place, should he decrease his consumption ?

9.5%

6.5%

7.2%

8.7%

Question 79

Arithmetic

The given pie chart represents the popularity of ice-cream flavours in the year 2005. In 2005, if 40% of the 'other' category is mix fruit flavour and 1570 people surveyed preferred mix fruit flavour, then how many people were surveyed?

25,000

50,000

75,000

10,000

Question 80

Arithmetic

If (5√5x 3 – 3√3y 3 ) ÷ (√5x – √3y) = (Ax 2  + By 2  + Cxy), then what is the value of 3A – B – √15C ?

-5

-3

Question 81

Arithmetic

If two successive discounts, each of 20% on the marked price of an article, are equal to a single discount of Rs. 331.20, then the marked price (in Rs.) of the article is:

750

1,200

645

920

Question 82

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 A alone finish the work ?

\(19 \frac{1}{2}\)

\(9 \frac{1}{4}\)

Question 83

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 years the 2008, 2012, 2013 together from school A to the students taken for the years 2009, 2010, 2011 together from school B ?

229 : 217

217 : 229

118 : 251

251 : 118

Question 84

Arithmetic

The given histogram shows the height of the students. What is the percentage of student whose height is in the class interval 165-175 ?

Question 85

Arithmetic

Two pipes A and B can fill a tank in 12 hours and 18 hours, respectively. Both pipes are opened simultaneously. In how much time will the empty tank be filled completely ?

10 hours 24 minutes

9 hours 30 minutes

8 hours

7 hours 12 minutes

Question 86

Arithmetic

A Person was standing on a road near a mall. He was 1215 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 tree height is 20 m and it is 60 m away from him. How tall (in m) is the mall ?

405

375

300

250

Question 87

Arithmetic

X 4 + X -4  = 194, X > 0, then what is the value of  \(X + \frac{1}{X} + 2\)  ?

Question 88

Arithmetic

PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that &ang;APB = 142°, then &ang;OAB is equal to:

58°

64°

31°

71°

Question 89

Arithmetic

Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe C is closed after 10 hours. After how many hours will the remaining part of the tank be filled ?

5 hours

\(2 \frac{1}{2}\)  hours

2 hours

\(5 \frac{1}{2}\)  hours

Question 90

Arithmetic

A sum amounts to Rs. 7,562 in 4 years and to Rs. 8,469.44 in 5 years. at a certain rate percent per annum when the interest is compounded yearly. If Rs. 10,000 at the same rate of interest is borrowed for two years, then what will be the compound interest (in Rs.) ?

1,965

1,736

2,764

2,544

Question 91

Arithmetic

If each side of a square is decreased by 17%, then by what percentage does its area decrease ?

25%

30.79%

44.31%

31.11%

Question 92

Arithmetic

The perimeter of a square is half the perimeter of a rectangle. The perimeter of the square is 40 m. If its breadth is two-thirds of its length, then what is the area (in m 2 ) of the rectangle ?

384

321

196

400

Question 93

Arithmetic

A person sold an article at a loss of 16%. Had he sold it for Rs. 660 more, he would have gained 8%. If the article is sold at Rs. 3080, then how much profit percentage is gained ?

15%

20%

12%

10%

Question 94

Arithmetic

If 1433 × 1433 × 1422 × 1425 is divided by 10, what is the remainder ?

Question 95

Arithmetic

A person invested Rs. 2,000 on simple interest for 7 years to obtain a total amount of Rs. 3,400 on a certain annual rate of interest. What was the rate of interest to obtain the above amount ?

10%

Question 96

Arithmetic

In a ΔABC, the bisector of &ang;B and &ang;C meet at O in the triangle. If &ang;BOC = 134°, then the measure of &ang;A is:

88°

52°

116°

104°

Question 97

Arithmetic

The given pie chart represents the popularity of ice-cream flavours in the year 2015. In 2015, if the total sale of chocolate flavours is for Rs. 5,160, then the total sale (in Rs.) for vanilla flavour is:

3,300

4,120

4,100

5,160

Question 98

Arithmetic

Two numbers are in the ratio 7 : 11. If their HCF is 28, then sum of the two numbers is:

112

308

504

196

Question 99

Arithmetic

One side of a rhombus is 13 cm and one of its diagonals is 24 cm. What is the area (in cm 2 ) of rhombus ?

120

Question 100

Arithmetic

The given histogram shows the height of the students. The number of students whose height is in the class interval 165-170 is what percentage less than the number of students whose height is in the interval 150-155 ? (correct to one decimal place)

1.9%

4.8%

5.5%

6.7%

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

A and B can do a job in 10 days and 5 days, respectively, They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C alone take to finish 40% of the job?

The value of \(\frac{{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}}{{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5}}\) &nbsp;is:

The price of diesel is increased by 26%. A person wants to increase his expenditure by 15% only. By what percentage, correct to one decimal place, should he decrease his consumption ?

The given pie chart represents the popularity of ice-cream flavours in the year 2005. In 2005, if 40% of the 'other' category is mix fruit flavour and 1570 people surveyed preferred mix fruit flavour, then how many people were surveyed?

If (5&radic;5x 3 &ndash; 3&radic;3y 3 )&nbsp;&divide; (&radic;5x &ndash;&nbsp;&radic;3y) = (Ax 2 &nbsp;+ By 2 &nbsp;+ Cxy), then what is the value of 3A &ndash; B &ndash;&nbsp;&radic;15C ?

If two successive discounts, each of 20% on the marked price of an article, are equal to a single discount of Rs. 331.20, then the marked price (in Rs.) of the article 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 A alone finish the work ?

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 years the 2008, 2012, 2013 together from school A to the students taken for the years 2009, 2010, 2011 together from school B ?

The given histogram shows the height of the students. What is the percentage of student whose height is in the class interval 165-175 ?

Two pipes A and B can fill a tank in 12 hours and 18 hours, respectively. Both pipes are opened simultaneously. In how much time will the empty tank be filled completely ?

X 4 + X -4 &nbsp;= 194, X &gt; 0, then what is the value of&nbsp; \(X + \frac{1}{X} + 2\) &nbsp;?

PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that &ang;APB = 142&deg;, then&nbsp;&ang;OAB is equal to:

Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe C is closed after 10 hours. After how many hours will the remaining part of the tank be filled ?

A sum amounts to Rs. 7,562 in 4 years and to Rs. 8,469.44 in 5 years. at a certain rate percent per annum when the interest is compounded yearly. If Rs. 10,000 at the same rate of interest is borrowed for two years, then what will be the compound interest (in Rs.) ?

If each side of a square is decreased by 17%, then by what percentage does its area decrease ?

The perimeter of a square is half the perimeter&nbsp;of&nbsp;a rectangle.&nbsp;The perimeter of the square&nbsp;is 40&nbsp;m.&nbsp;If&nbsp;its&nbsp;breadth&nbsp;is two&shy;-thirds of its length, then what is the area (in m 2 ) of the rectangle ?

A person sold an article at a loss of 16%. Had he sold it for Rs. 660 more, he would have gained 8%. If the article is sold at Rs. 3080, then how much profit percentage is gained ?

If 1433 &times; 1433 &times; 1422&nbsp;&times; 1425 is divided by 10, what is the remainder ?

A person invested Rs. 2,000 on simple interest for 7 years to obtain a total amount of Rs. 3,400 on a certain annual rate of interest. What was the rate of interest to obtain the above amount ?

In a &Delta;ABC, the bisector of &ang;B and&nbsp;&ang;C meet at O in the triangle. If&nbsp;&ang;BOC = 134&deg;, then the measure of&nbsp;&ang;A is:

The given pie chart represents the popularity of ice-cream flavours in the year 2015. In 2015, if the total sale of chocolate flavours is for Rs. 5,160, then the total sale (in Rs.) for vanilla flavour is:

Two numbers are in the ratio 7 : 11. If their HCF is 28, then sum of the two numbers is:

One side of a rhombus is 13 cm and one of its diagonals is 24 cm. What is the area (in cm 2 ) of rhombus ?

The given histogram shows the height of the students. The number of students whose height is in the class interval 165-170 is what percentage less than the number of students whose height is in the interval 150-155 ? (correct to one decimal place)

The value of \(\frac{{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}}{{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5}}\) is:

If (5√5x 3 – 3√3y 3 ) ÷ (√5x – √3y) = (Ax 2 + By 2 + Cxy), then what is the value of 3A – B – √15C ?

X 4 + X -4 = 194, X > 0, then what is the value of \(X + \frac{1}{X} + 2\) ?

PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that &ang;APB = 142°, then &ang;OAB is equal to:

The perimeter of a square is half the perimeter of a rectangle. The perimeter of the square is 40 m. If its breadth is two-thirds of its length, then what is the area (in m 2 ) of the rectangle ?

If 1433 × 1433 × 1422 × 1425 is divided by 10, what is the remainder ?

In a ΔABC, the bisector of &ang;B and &ang;C meet at O in the triangle. If &ang;BOC = 134°, then the measure of &ang;A is: