SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 151

Arithmetic

If 1433 × 1433 × 1422 × 1425 is divided by 12, then what is the remainder?

Question 152

Arithmetic

What is the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?

1080

1071

1269

1089

Question 153

Arithmetic

The value of \(\dfrac{6.35 \times 6.35 \times 6.35 + 3.65 \times 3.65 \times 3.65}{63.5 \times 63.5 + 36.5 \times 36.5 - 63.5 \times 36.5}\)  is equal to

0.01

0.1

Question 154

Arithmetic

The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm 2 . Its volume (in cm 3 ) is: \(\left(\text{Take} \ \pi = \dfrac{22}{7}\right)\)

3080

6160

1078

9240

Question 155

Arithmetic

If 4(cosec 2 57° - tan 2 33°) - cos 90° - y tan 2 66° tan 2 24° \(=\dfrac{y}{2}\) , the value of y is:  

\(\dfrac{1}{3}\)

\(\dfrac{8}{3}\)

\(8\)

\(\dfrac{3}{8}\)

Question 156

Arithmetic

Two pipes A and B can fill a tank in 15 hours and 18 hours, respectively. Both pipes are opened simultaneously to fill the tank. In how many hours will the empty tank be filled?

\(8 \frac{2}{11}\)

\(7 \frac{2}{11}\)

\(9 \frac{2}{11}\)

\(10 \frac{2}{11}\)

Question 157

Arithmetic

The given pie charts represent the popularity of ice-cream flavours in the years 2005 and 2015. If a percentage point shift results in annual additional sales of Rs. 10,000, how much (in Rs.), did the combined annual strawberry and butterscotch sales increase from 2005 to 2015?

Rs. 65,000

Rs. 10,000

Rs. 74,000

Rs. 37,000

Question 158

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 average of the total students from school A to the average of the total students from school B?

429 &ratio; 799 

370 &ratio; 429

429 &ratio; 370

799 &ratio; 429

Question 159

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 60% of the job?

18 days

30 days

25 days

24 days

Question 160

Arithmetic

Seven years ago, the ratio of the ages of A and B was 4 &ratio; 5. Eight years hence, the ratio of the ages of A and B will be 9 &ratio; 10. What is the sum of their present ages in years?

32 years

41 years 

56 years

82 years 

Question 161

Arithmetic

If \(a^2 + b^2 + c^2+ 216 = 12(a+b-2c)\) , then  \(\sqrt{ab-bc+ca}\)  is:

Question 162

Arithmetic

If A's salary is 60% more than B's salary, then by what percentage is B's salary less than that of A?

37.5%

45%

33.3%

47.7%

Question 163

Arithmetic

A, B and C started a business by investing Rs. 13,750, Rs. 16,250 and Rs. 18,750, respectively. If B's share in the profit earned by them is Rs. 5,200, what is the total profit (in Rs.) earned by them together?

15,600

17,500

16,600

18,200

Question 164

Arithmetic

Three successive discounts 22%, 17% and 11% are equivalent to a single discount of:

approximately 50%

approximately 42%

approximately 45%

approximately 25%

Question 165

Arithmetic

The given bar graph shows the number of students of two schools over a period of six years. In the bar graph, in which year is the sum of the students from schools A and B taken together, the minimum?

2010

2011

2012

2013

Question 166

Arithmetic

The value of \(\dfrac{40-\dfrac{3}{4} \ of \ 32}{37 - \dfrac{3}{4} \ of \ (34-6)}\)  is :

–1/2

1/2

Question 167

Arithmetic

The average weight of A, B and C is 65 kg. If the average weight of A and B is 63.5 kg, and the average weight of A and C is 67.5 kg, then the weight of A (in kg) is:

Question 168

Arithmetic

The given histogram shows the height of the students. The number of students whose height is in the class interval 170-175 is what percent less than the number of students whose height is in the interval of 165-170? (correct to one decimal place)

11.5%

17.3%

14.3%

19.5%

Question 169

Arithmetic

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points R, P and Q, respectively. If AQ = 3.5 cm, PC = 4.5 cm and BR = 7 cm, then the perimeter (in cm) of the triangle ΔABC is: 

Question 170

Arithmetic

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

100

121

Question 171

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 = 128°, then &ang;OAB is equal to:   

38° 

64° 

72° 

52° 

Question 172

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 A is closed after 10 hours. After how many hours will the remaining part of the tank be filled?

\(12 \dfrac{1}{2}\)

\(15 \dfrac{1}{2}\)

Question 173

Arithmetic

If 4 – 2sin 2 θ – 5cos θ = 0, 0° < θ < 90°, then the value of cos θ + tan θ is : 

\(\dfrac{1-2\sqrt{3}}{2}\)

\(\dfrac{2-\sqrt{3}}{2}\)

\(\dfrac{1+2\sqrt{3}}{2}\)

\(\dfrac{2+\sqrt{3}}{2}\)

Question 174

Arithmetic

If each side of a rectangle is decreased by 11%, then its area will decrease by:

25%

20.79%

24.31%

21.13%

Question 175

Arithmetic

One side of a rhombus is 13 cm and one of its diagonals is 10 cm. What is the area of the rhombus (in cm 2 )?

120

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

If 1433 &times; 1433 &times; 1422&nbsp;&times; 1425 is divided by 12, then what is the remainder?

What is the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?

The value of \(\dfrac{6.35 \times 6.35 \times 6.35 + 3.65 \times 3.65 \times 3.65}{63.5 \times 63.5 + 36.5 \times 36.5 - 63.5 \times 36.5}\) &nbsp;is equal to

The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm 2 . Its volume (in cm 3 ) is: \(\left(\text{Take} \ \pi = \dfrac{22}{7}\right)\)

If 4(cosec 2 57&deg; - tan 2 33&deg;) - cos 90&deg; - y tan 2 66&deg; tan 2 24&deg; \(=\dfrac{y}{2}\) , the value of y is: &nbsp;

Two pipes A and B can fill a tank in 15 hours and 18 hours, respectively. Both pipes are opened simultaneously to fill the tank. In how many hours will the empty tank be filled?

The given pie charts represent the popularity of ice-cream flavours in the years 2005 and 2015. If a percentage point shift results in annual additional sales of Rs. 10,000, how much (in Rs.), did the combined annual strawberry and butterscotch sales increase from 2005 to 2015?

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 average of the total students from school A to the average of the total students from school B?

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 60% of the job?

Seven years ago, the ratio of the ages of A and B was 4 &ratio; 5. Eight years hence, the ratio of the ages of A and B will be 9&nbsp;&ratio; 10. What is the sum of their present ages in years?

If \(a^2 + b^2 + c^2+ 216 = 12(a+b-2c)\) , then&nbsp; \(\sqrt{ab-bc+ca}\) &nbsp;is:

If A's salary is 60% more than B's salary, then by what percentage is B's salary less than that of A?

A, B and C started a business by investing Rs. 13,750, Rs. 16,250 and Rs. 18,750, respectively. If B's share in the profit earned by them is Rs. 5,200, what is the total profit (in Rs.) earned by them together?

Three successive discounts 22%, 17% and 11% are equivalent to a single discount of:

The given bar graph shows the number of students of two schools over a period of six years. In the bar graph, in which year is the sum of the students from schools A and B taken together, the minimum?

The value of \(\dfrac{40-\dfrac{3}{4} \ of \ 32}{37 - \dfrac{3}{4} \ of \ (34-6)}\) &nbsp;is :

The average weight of A, B and C is 65 kg. If the average weight of A and B is 63.5 kg, and the average weight of A and C is 67.5 kg, then the weight of A (in kg) is:

The given histogram shows the height of the students. The number of students whose height is in the class interval 170-175 is what percent less than the number of students whose height is in the interval of 165-170? (correct to one decimal place)

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points R, P and Q, respectively. If AQ = 3.5 cm, PC = 4.5 cm and BR = 7 cm, then the perimeter (in cm) of the triangle &Delta;ABC is:&nbsp;

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

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 = 128&deg;, then&nbsp;&ang;OAB is equal to:&nbsp; &nbsp;

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 A is closed after 10 hours. After how many hours will the remaining part of the tank be filled?

If 4 &ndash; 2sin 2 &theta; &ndash; 5cos&nbsp;&theta; = 0, 0&deg; &lt;&nbsp;&theta; &lt; 90&deg;, then the value of cos&nbsp;&theta; + tan&nbsp;&theta; is :&nbsp;

If each side of a rectangle is decreased by 11%, then its area will decrease by:

One side of a rhombus is 13 cm and one of its diagonals is 10 cm. What is the area of the rhombus (in cm 2 )?

If 1433 × 1433 × 1422 × 1425 is divided by 12, then what is the remainder?

The value of \(\dfrac{6.35 \times 6.35 \times 6.35 + 3.65 \times 3.65 \times 3.65}{63.5 \times 63.5 + 36.5 \times 36.5 - 63.5 \times 36.5}\) is equal to

If 4(cosec 2 57° - tan 2 33°) - cos 90° - y tan 2 66° tan 2 24° \(=\dfrac{y}{2}\) , the value of y is:

Seven years ago, the ratio of the ages of A and B was 4 &ratio; 5. Eight years hence, the ratio of the ages of A and B will be 9 &ratio; 10. What is the sum of their present ages in years?

If \(a^2 + b^2 + c^2+ 216 = 12(a+b-2c)\) , then \(\sqrt{ab-bc+ca}\) is:

The value of \(\dfrac{40-\dfrac{3}{4} \ of \ 32}{37 - \dfrac{3}{4} \ of \ (34-6)}\) is :

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points R, P and Q, respectively. If AQ = 3.5 cm, PC = 4.5 cm and BR = 7 cm, then the perimeter (in cm) of the triangle ΔABC is:

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 = 128°, then &ang;OAB is equal to:

If 4 – 2sin 2 θ – 5cos θ = 0, 0° < θ < 90°, then the value of cos θ + tan θ is :