SSC-CPO 2020 Quantitative Aptitude

Practice subject-wise previous year questions

Question 251

Arithmetic

The value of \(\frac{{{{\sin }^2}{}52^\circ + 2 + {{\sin }^2}{{ }}38^\circ }}{{4{}{{\cos }^2}43^\circ - 5 + 4{{\cos }^2}{{}}47^\circ }}\)  is:

\(\frac{1}{3}\)

-3

\(-\frac{1}{3}\)

Question 252

Arithmetic

Chord AB of a circle is produced to a point P, and C is a point on the circle such that PC is a tangent to the circle. If PC = 12 cm, and BP = 10 cm, then the length of AB (in cm) is:

4.4

5.4

Question 253

Arithmetic

On the marked price of Rs. 1,250 of an article, three successive discounts of 5%, 15% and 20% are offered. What will be the selling price (in Rs.) after all discounts?

807.50

975.75

1,000

950.25

Question 254

Arithmetic

The given bar graph shows the sales of cars from six branches of a dealer B1, B2, B3, B4, B5, B6, during two consecutive years 2018 and 2019. Blue colour corresponds to the year 2018 and white shaded line colour corresponds to the year 2019. The average sales of cars (from all branches) for the year 2018 is:

Question 255

Arithmetic

In the following pie chart shows percentage 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 Subsidy is:

75.6°

108.3°

90°

54.9°

Question 256

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 total amount of expenditure for education and Health (in billions Rs.) is:

168

126

186

Question 257

Arithmetic

The value of \(\frac{{4.35 \times 4.35 \times 4.35 + 3.25 \times 3.25 \times 3.25}}{{43.5 \times 43.5 + 32.5 \times 32.5 - 43.5 \times 32.5}}\) is:

0.76

0.0076

7.6

0.076

Question 258

Arithmetic

If 49% of X = Y, then Y% of 50 is:

24.5% of Y

24.5% of X

40% of Y

50% of X

Question 259

Arithmetic

Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows. If the total marks obtained by students be represented as a pie chart, then the central angle corresponding to marks 250 or more but less than 300 is: (correct to the nearest degree)

88°

68°

128°

188°

Question 260

Arithmetic

The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm 2 ) of the triangle?

120 

Question 261

Arithmetic

If a 2 + b 2 + c 2 + 84 = 4(a - 2b + 4c), then \(\sqrt {ab - bc + ca} \) is equal to:

\(4\sqrt {10} \)

\(5\sqrt {10} \)

\(2\sqrt {10} \)

\(\sqrt {10} \)

Question 262

Arithmetic

If a 3 + b 3 = 217 and a + b = 7, then the value of ab is:

-1

-6

Question 263

Arithmetic

In ΔABC, D is the median from A to BC. AB = 6 cm, AC = 8 cm, and BC = 10 cm. The length of median AD (in cm) is:

4.5

Question 264

Arithmetic

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

\(\frac{17}{{9}}\)

\(\frac{25}{{6}}\)

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

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

Question 265

Arithmetic

The following pie chart shows the 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 amount of expenditure on Defence is what percentage more than the expenditure on Education?

150%

125%

50%

100%

Question 266

Arithmetic

The HCF of two numbers is 29, and the other two factors of their LCM are 15 and 13. The larger of the two number is:

377

464

406

435

Question 267

Arithmetic

A can complete some work in 35 days and B can complete the same work in 15 days. They worked together for 8 days, then B left the work. In how many days will A alone complete 60% of the remaining work?

Question 268

Arithmetic

The base of a triangle is equal to the perimeter of a square whose diagonal is \(6\sqrt 2\) 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:

144

216

288

Question 269

Arithmetic

A ladder is resting against a wall. The angle between the foot of the ladder and wall is 60°, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder (in m) is:

5.4

14.4

3.6

7.2

Question 270

Arithmetic

If x + y + z = 13, x 2 + y 2 + z 2 = 133 and x 3 + y 3 + z 3 = 847, then the value of \(\sqrt[3]{{xyz}}\) is:

-9

-6

Question 271

Arithmetic

PQRS is a cyclic quadrilateral. If &ang;P is 4 times &ang;R, and &ang;S is 3 times &ang;Q, then the average of &ang;Q and &ang;R is:

45.7°

81°

90°

40.5°

Question 272

Arithmetic

The simple interest on a sum of money at 10% per annum for 2 years is Rs. 8,100. Compounded annually, what would be the compound interest (in Rs.) on the same sum for the same period at the same rate of interest?

8,100

8,505

8,715

9,000

Question 273

Arithmetic

A boy increases his speed to \(\frac{9}{5}\) times of his original speed. By doing this, he reaches his school 40 minutes before the usual time. How much time (in minutes) does he take usually?

120

Question 274

Arithmetic

If the selling price of 50 articles is equal to the cost price of 42 articles, the what is the approximate loss or profit percentage?

16% loss

20% profit

10% loss

8% profit

Question 275

Arithmetic

The present ages of A and B are in the ratio 3 : 4. Twelve years ago, their ages were in the ratio 2 : 3. The sum of the present ages of A and B (in years) is:

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

The value of \(\frac{{{{\sin }^2}{}52^\circ + 2 + {{\sin }^2}{{ }}38^\circ }}{{4{}{{\cos }^2}43^\circ - 5 + 4{{\cos }^2}{{}}47^\circ }}\) &nbsp;is:

Chord AB of a circle is produced to a point P, and C is a point on the circle such that PC is a tangent to the circle. If PC = 12 cm, and BP = 10 cm, then the length of AB (in cm) is:

On the marked price of Rs. 1,250 of an article, three successive discounts of 5%, 15% and 20% are offered. What will be the selling price (in Rs.) after all discounts?

In the following pie chart shows percentage 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 Subsidy 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 total amount of expenditure for education and Health (in billions Rs.) is:

The value of \(\frac{{4.35 \times 4.35 \times 4.35 + 3.25 \times 3.25 \times 3.25}}{{43.5 \times 43.5 + 32.5 \times 32.5 - 43.5 \times 32.5}}\) is:

If 49% of X = Y, then Y% of 50 is:

The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm 2 ) of the triangle?

If a 2 + b 2 + c 2 + 84 = 4(a - 2b + 4c), then \(\sqrt {ab - bc + ca} \) is equal to:

If a 3 + b 3 = 217 and a + b = 7, then the value of ab is:

In &Delta;ABC, D is the median from A to BC. AB = 6 cm, AC = 8 cm, and BC = 10 cm. The length of median AD (in cm) is:

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

The following pie chart shows the 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 amount of expenditure on Defence is what percentage more than the expenditure on Education?

The HCF of two numbers is 29, and the other two factors of their LCM are 15 and 13. The larger of the two number is:

A can complete some work in 35 days and B can complete the same work in 15 days. They worked together for 8 days, then B left the work. In how many days will A alone complete 60% of the remaining work?

The base of a triangle is equal to the perimeter of a square whose diagonal is \(6\sqrt 2\) 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:

A ladder is resting against a wall. The angle between the foot of the ladder and wall is 60&deg;, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder (in m) is:

If x + y + z = 13, x 2 + y 2 + z 2 = 133 and x 3 + y 3 + z 3 = 847, then the value of \(\sqrt[3]{{xyz}}\) is:

PQRS is a cyclic quadrilateral. If &ang;P is 4 times&nbsp;&ang;R, and&nbsp;&ang;S is 3 times&nbsp;&ang;Q, then the average of&nbsp;&ang;Q and&nbsp;&ang;R is:

The simple interest on a sum of money at 10% per annum for 2 years is Rs. 8,100. Compounded annually, what would be the compound interest (in Rs.) on the same sum for the same period at the same rate of interest?

A boy increases his speed to \(\frac{9}{5}\) times of his original speed. By doing this, he reaches his school 40 minutes before the usual time. How much time (in minutes) does he take usually?

If the selling price of 50 articles is equal to the cost price of 42 articles, the what is the approximate loss or profit percentage?

The present ages of A and B are in the ratio 3 : 4. Twelve years ago, their ages were in the ratio 2 : 3. The sum of the present ages of A and B (in years) is:

The value of \(\frac{{{{\sin }^2}{}52^\circ + 2 + {{\sin }^2}{{ }}38^\circ }}{{4{}{{\cos }^2}43^\circ - 5 + 4{{\cos }^2}{{}}47^\circ }}\) is:

In ΔABC, D is the median from A to BC. AB = 6 cm, AC = 8 cm, and BC = 10 cm. The length of median AD (in cm) is:

A ladder is resting against a wall. The angle between the foot of the ladder and wall is 60°, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder (in m) is:

PQRS is a cyclic quadrilateral. If &ang;P is 4 times &ang;R, and &ang;S is 3 times &ang;Q, then the average of &ang;Q and &ang;R is: