Arithmetic Q&A - Solve Basic Math Problems & Improve Skills

Q21 :

If A and B are two sets, then $text{A} cap (text{A} cup text{B})$ is equal to

A

B

C

$phi$

D

A $cap$ B

View Answer

Correct Answer: C

$phi$

Description:

$text{A} cap (text{A} cup text{B})text{'} = text{A} cap (text{A'} cap text{B'})$

$= (text{A} cap text{A'}) cap text{B'} = phi cap text{B'} = phi$

Q22 :

Let N be the set of all natural numbers, E be the universal set, $phi$ be the null set and B be the unit set containing 0, i.e. B = {0}. If A is the subset of every set X, then A is equal to

A

N

B

C

$phi$

D

E

View Answer

Correct Answer: C

$phi$

Description:

Empty set is a subset of every set.

Q23 :

If $n$ is any whole number, $n^2 (n^2 - 1)$ is always divisible by:

A

12

B

24

C

36

D

9

View Answer

Correct Answer: A

12

Description:

Here we can apply least value of whole no. in the place $n^2 (n^2 - 1)$ except 0 and 1.

$n^2 (n^2 - 1) = 2^2 (2^2 - 1 ) = 12$

Q24 :

The total value of a collection of coins of denominations Rs. 1.00, 50 paise, 25 paise, 10 paise and 5 paise is Rs. 380. If the number of coins of each denomination is the same then the number of one-rupee coins is:

A

160

B

180

C

200

D

220

View Answer

Correct Answer: C

200

Description:

Let the no of one-rupee coin is $x$ then,

$100x + 50x + 25x + 10x + 5x = 38000$

$x = 200$

Q25 :

Ice cream completely filled in a cylinder of diameter 35 cm and height 32 cm is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of persons that can be served this way is:

A

950

B

1000

C

1050

D

1100

View Answer

Correct Answer: C

1050

Description:

Maximum no. of persons:

$= frac{pi Big(frac{35}{2}Big)^2 times 32}{frac{1}{3}pi Big(frac{4}{2}Big)^2 times 7}$

= 1050

Q26 :

A fountain having the shape of a right circular cone is fitted into a cylindrical tank of volume V, so that the base of the tank coincides with the base of the cone and the height of the tank is the same as that of the cone. The volume of water in the tank, when it is completely filled with water from the fountain, is:

A

V/2

B

V/3

C

2V/3

D

V/4

View Answer

Correct Answer: B

V/3

Description:

Volume of water = Volume of cone

$= frac{1}{3}pi r^2 ; h$

$= frac{1}{3}text{ V }$

$(because text{ V = Volume of Cylinder } = pi r^2 h )$

Q27 :

Simplify: $sqrt{75} + sqrt{48} - sqrt{243}$

A

0

B

$2sqrt{3}$

C

$3sqrt{3}$

D

$4sqrt{3}$

View Answer

Correct Answer: A

0

Description:

$sqrt{75} + sqrt{48} - sqrt{243}$

$=5sqrt{3} + 4sqrt{3} - 9sqrt{3}$

$=sqrt{3}(5 + 4 -9)$

$=sqrt{3} times 0$

$=0$

Q28 :

Solve the following—
8016.34 + 106.9 – 2006.85 – 131.428 = ?

A

5984.152

B

6074.962

C

5984.962

D

5974.962

View Answer

Correct Answer: C

5984.962

No Description Available

Q29 :

Solve the following—
$sqrt{0.0625} + sqrt{0.250} = text{ ?}$

A

.005

B

0.5

C

5

D

None of the Above

View Answer

Correct Answer: D None of the Above

Description:

$begin{aligned} sqrt{0.0625} + sqrt{0.250} Rightarrow .25 + .5 = .75 end{aligned}$

Q30 :

Solve the following Equation:
$14 times627 div sqrt{1089} = (?)^3 + 141$

A

$5sqrt{5}$

B

$(125)^3$

C

25

D

5

View Answer

Correct Answer: D 5

Description:

Arithmetic Questions Answers