SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 126

Arithmetic

If the numerator of a fraction is increased by 0% and the denominator is increased by 40%, then the resultant fraction is \(\frac{{16}}{{63}}\) . The original fraction is:

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

\(\frac{{16}}{{45}}\)

\(\frac{{5}}{{9}}\)

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

Question 127

Arithmetic

Solve for θ:  \({\cos ^2}\theta - {\sin ^2}\theta = \frac{1}{2}\) , 0 < θ < 90°.

40°

30°

60°

45°

Question 128

Arithmetic

The fasting blood sugar level (F) and the post prandial blood sugar level (PP) of a patient was monitored for four weeks W1, W2, W3, W4, and the readings (in mg/dl) for the four weeks are as follows: F/PP: 170/220, 150/180, 120/150, 90/120. These have been presented through a bar graph. The normal range is considered to be: F/PP: 70-100/100-130 During which week was the fasting blood sugar level of the patient approximately 115.4% above the upper limit of normal PP blood sugar level?

Question 129

Arithmetic

The base of a triangle is equal to the perimeter of a square whose diagonal is \(9\sqrt 2\) cm, and its height is equal to the side of a square whose area is 144 cm 2 . The area of the triangle (in cm 2 ) is:

216

288

144

Question 130

Arithmetic

The value of is: (427 ×  427 × 427 + 325× 325 × 325)/(42.7 × 42.7 –  42.7 × 32.5 + 32.5 × 32.5)

7520

7.52

75200

752

Question 131

Arithmetic

Two pipes A and B can fill a cistern in \(12\frac{1}{2}\) hours and 25 hours, respectively. The pipes are opened simultaneously and it is found that due to a leakage in the bottom, it took 1 hour 40 minutes more to fill the cistern. When the cistern is full, in how much time will the leak empty the cistern?

45 hours

54 hours

42 hours

50 hours

48 hours

Question 132

Arithmetic

The speed of a boat in still water is 15 km/h, and the speed of the current is 5 km/h. In how much time (in hours) will the boat travel a distance of 60 km upstream and the same distance downstream?

Question 133

Arithmetic

In ΔABC, &ang;A = 54°. If I is the incentre of the triangle, then the measure of &ang;BIC is:

68°

54°

117°

148°

Question 134

Arithmetic

Five bells ring together at the intervals of 3, 5, 8, 9 and 10 seconds. All the bells ring simultaneously at the same time. They will again ring simultaneously after:

6 minutes

8 minutes

4 minutes

9 minutes

Question 135

Arithmetic

P and Q together can do a work in 12 days. P alone can do the same work in 36 days. In how many days can Q alone complete two-third part of the same work?

Question 136

Arithmetic

In a school, 5/12 of the number of students are girls and the rest are boys. 4/7 of the number of boys are below 14 years of age, and 2/5 of the number of girls are 14 years or above 14 years of age. If the number of students below 14 years of age is 1120, then the total number of students in the school is:

1820

1290

1920

1900

Question 137

Arithmetic

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. The number of students who obtained less than 200 marks is:

135

Question 138

Arithmetic

A's salary is 35% more than B's salary. How much per cent is B's salary less than that of A's? (correct to the nearest integer)

26%

35%

17.5%

20%

Question 139

Arithmetic

A train covers 400 km at a uniform speed. If the speed had been 10 km/h more, it would have taken 2 hours less for the same journey. What is the usual time taken (in hours) by it to complete the journey?

Question 140

Arithmetic

Diagram: Study the chart and answer the question. The following pie chart shows percentage expenditure of a country on different heads. The total expenditure is Rs. 1,680 (in billions).  The expenditure for Proceeds to state (in billions Rs.) is:

126

586.50

684

571.20

Question 141

Arithmetic

The sides PQ and PR of ΔPQR are produced to points S and T, respectively. The bisectors of &ang;SQR and &ang;TRQ meet at U. If &ang;QUR = 59°, then the measure of &ang;P is:

41°

31°

49°

62°

Question 142

Arithmetic

A, B, C subscribe a sum of Rs. 75,500 for a business. A subscribes Rs. 3,500 more than B, and B subscribes Rs. 4,500 more than C. Out of a total profit of Rs. 45,300, how much (in Rs.) does A receive?

12,600

14,700

17,400

15,000

Question 143

Arithmetic

When a number is successively divided by 3, 4 and 7, the remainder obtained is 2, 3 and 5, respectively. What will be the remainder when 42 divides the same number?

Question 144

Arithmetic

The number of students in Class XI in Science, Arts and Commerce streams of a school over a period of 4 years (2011-2014) has been depicted through the bar chart given below. What is the average number of Arts students in the given class over the given period of 4 years?

Question 145

Arithmetic

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. The number of students who obtained less than 250 marks is what per cent more than the number of students who obtained 400 or more marks? (correct to one decimal place)

114.3%

100%

150%

175.8%

Question 146

Arithmetic

The number of students in Class XI in Science, Arts and Commerce streams of a school over a period of 4 years (2011-2014) has been depicted through the bar chart given below. What is the difference between the averages of the number of Science and Commerce students in the given class over the given period of 4 years?

Question 147

Arithmetic

The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is:

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

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

-7

Question 148

Arithmetic

The circles of radii 15 cm and 10 cm intersect each other and the length of their common chord is 16 cm. What is the distance (in cm) between their centres?

\(6 + \sqrt 161\)

\(15 + 2\sqrt 161\)

\(12 + 3\sqrt 7\)

\(10 + \sqrt 161\)

Question 149

Arithmetic

The value of \(\frac{2}{3} \div \frac{3}{{10}}\; of\; \frac{4}{9} - \frac{4}{5} \times 1\frac{1}{9} \div \frac{8}{{15}} + \frac{3}{4} \div \frac{1}{2}\) is:

\(\frac{{11}}{{6}}\)

\(\frac{29}{6}\)

\(\frac{14}{3}\)

\(\frac{49}{12}\)

Question 150

Arithmetic

The following pie chart shows percentage expenditure of a country on different heads. The total expenditure is Rs. 1,680 (in billions). Study the chart and answer the question. The central angle of the sector representing expenditure on Interest payment is:

72°

108°

90°

54°

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

If the numerator of a fraction is increased by 0% and the denominator is increased by 40%, then the resultant fraction is \(\frac{{16}}{{63}}\) . The original fraction is:

Solve for &theta;:&nbsp; \({\cos ^2}\theta - {\sin ^2}\theta = \frac{1}{2}\) , 0 &lt;&nbsp;&theta; &lt; 90&deg;.

The base of a triangle is equal to the perimeter of a square whose diagonal is \(9\sqrt 2\) cm, and its height is equal to the side of a square whose area is 144 cm 2 . The area of the triangle (in cm 2 ) is:

The value of is: (427 &times; &nbsp;427 &times;&nbsp;427 + 325&times; 325&nbsp;&times; 325)/(42.7&nbsp;&times; 42.7&nbsp;&ndash;&nbsp; 42.7 &times; 32.5 + 32.5&nbsp;&times; 32.5)

The speed of a boat in still water is 15 km/h, and the speed of the current is 5 km/h. In how much time (in hours) will the boat travel a distance of 60 km upstream and the same distance downstream?

In &Delta;ABC,&nbsp;&ang;A = 54&deg;. If I is the incentre of the triangle, then the measure of&nbsp;&ang;BIC is:

Five bells ring together at the intervals of 3, 5, 8, 9 and 10 seconds. All the bells ring simultaneously at the same time. They will again ring simultaneously after:

P and Q together can do a work in 12 days. P alone can do the same work in 36 days. In how many days can Q alone complete two-third part of the same work?

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. The number of students who obtained less than 200 marks is:

A's salary is 35% more than B's salary. How much per cent is B's salary less than that of A's? (correct to the nearest integer)

A train covers 400 km at a uniform speed. If the speed had been 10 km/h more, it would have taken 2 hours less for the same journey. What is the usual time taken (in hours) by it to complete the journey?

Diagram: Study the chart and answer the question. The following pie chart shows percentage expenditure of a country on different heads. The total expenditure is Rs. 1,680 (in billions).&nbsp; The expenditure for Proceeds to state (in billions Rs.) is:

The sides PQ and PR of &Delta;PQR are produced to points S and T, respectively. The bisectors of &ang;SQR and&nbsp;&ang;TRQ meet at U. If&nbsp;&ang;QUR = 59&deg;, then the measure of&nbsp;&ang;P is:

A, B, C subscribe a sum of Rs. 75,500 for a business. A subscribes Rs. 3,500 more than B, and B subscribes Rs. 4,500 more than C. Out of a total profit of Rs. 45,300, how much (in Rs.) does A receive?

When a number is successively divided by 3, 4 and 7, the remainder obtained is 2, 3 and 5, respectively. What will be the remainder when 42 divides the same number?

The number of students in Class XI in Science, Arts and Commerce streams of a school over a period of 4 years (2011-2014) has been depicted through the bar chart given below. What is the average number of Arts students in the given class over the given period of 4 years?

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. The number of students who obtained less than 250 marks is what per cent more than the number of students who obtained 400 or more marks? (correct to one decimal place)

The value of 7 &divide; [5 + 1 &divide; 2 - {4 + (4 of 2 &divide; 4) + (5 &divide; 5 of 2)}] is:

The circles of radii 15 cm and 10 cm intersect each other and the length of their common chord is 16 cm. What is the distance (in cm) between their centres?

The value of \(\frac{2}{3} \div \frac{3}{{10}}\; of\; \frac{4}{9} - \frac{4}{5} \times 1\frac{1}{9} \div \frac{8}{{15}} + \frac{3}{4} \div \frac{1}{2}\) is:

The following pie chart shows percentage expenditure of a country on different heads. The total expenditure is Rs. 1,680 (in billions). Study the chart and answer the question. The central angle of the sector representing expenditure on Interest payment is:

Solve for θ: \({\cos ^2}\theta - {\sin ^2}\theta = \frac{1}{2}\) , 0 < θ < 90°.

The value of is: (427 × 427 × 427 + 325× 325 × 325)/(42.7 × 42.7 – 42.7 × 32.5 + 32.5 × 32.5)

In ΔABC, &ang;A = 54°. If I is the incentre of the triangle, then the measure of &ang;BIC is:

Diagram: Study the chart and answer the question. The following pie chart shows percentage expenditure of a country on different heads. The total expenditure is Rs. 1,680 (in billions). The expenditure for Proceeds to state (in billions Rs.) is:

The sides PQ and PR of ΔPQR are produced to points S and T, respectively. The bisectors of &ang;SQR and &ang;TRQ meet at U. If &ang;QUR = 59°, then the measure of &ang;P is:

The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is: