Arithmetic Mock Test 3 - Online MCQ Exam

In a cricket match, a hatsman hits a boundary 8 times out of 40 balls he plays. Then the probability that he did not hit boundary is

1 Mark(s)

Your Answer:

A) $\frac{8}{40}$ A) $\frac{8}{40}$
B) $\frac{4}{5}$ B) $\frac{4}{5}$
C) $\frac{4}{21}$ C) $\frac{4}{21}$
D) None of the above (\frac{4}{5}\) D) None of the above (\frac{4}{5}\)

The equivalent fraction of $\frac{20}{36}$ with denominator 9 is

1 Mark(s)

Your Answer:

A) $\frac{4}{9}$ A) $\frac{4}{9}$
B) $\frac{5}{9}$ B) $\frac{5}{9}$
C) $\frac{7}{9}$ C) $\frac{7}{9}$
D) $\frac{8}{9}$ (\frac{5}{9}\) D) $\frac{8}{9}$ (\frac{5}{9}\)

If A is a matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then the order of matrix B is

1 Mark(s)

Your Answer:

A) m × m A) m × m
B) n × n B) n × n
C) n × m C) n × m
D) m × n D) m × n

The function f : A → B defined by f(x) = 4x + 7, x ∈ R is

1 Mark(s)

Your Answer:

A) one-one A) one-one
B) Many-one B) Many-one
C) Odd C) Odd
D) Even D) Even

(i). a² – 9a + 20 = 0,
(ii). 2b² – 5b – 12 = 0 to solve both the equations to find the values of a and b?

1 Mark(s)

Your Answer:

If a < b If a < b
If a ≤ b If a ≤ b
If the relationship between a and b cannot be established
If a ≥ b If a ≥ b

A man walked 20 m to cross a rectangular field diagonally. If the length of the field is 16 cm. Find the breadth of the field is________?

1 Mark(s)

Your Answer:

11 m 11 m
12 m 12 m
13 m 13 m
14 m 14 m

Suppose a number x is chosen from the numbers -2, -1, 0, 1, 2. What will be the probability of x2 > 0?

1 Mark(s)

Your Answer:

1/5 1/5
2/3 2/3
3/5 3/5
4/5 4/5

An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes :_________?

1 Mark(s)

Your Answer:

10% 10%
10.25% 10.25%
10.50% 10.50%
None of these None of these

Convert $\frac{3}{4}$ to decimal

1 Mark(s)

Your Answer:

0.65 0.65
0.7 0.7
0.75 0.75
0.8 0.8

To fill a cistern, pipes P, Q & R take 20, 15 & 12 minutes respectively. The time in minutes that the three pipes together will take to fill the cistern is:__________?

1 Mark(s)

Your Answer:

5 min 5 min
10 min 10 min
15 min 15 min
20 min 20 min

The function f : R → R given by f(x) = x 3 – 1 is

1 Mark(s)

Your Answer:

A) a one-one function A) a one-one function
B) an onto function B) an onto function
C) a bijection C) a bijection
D) neither one-one nor onto D) neither one-one nor onto

By multiplying and dividing the polynomials with any number during the process of finding H.C.F:

1 Mark(s)

Your Answer:

H.C.F is not affected H.C.F is not affected
H.C.F is affected H.C.F is affected
L.C.M is not affected L.C.M is not affected
L.C.M is affected L.C.M is affected

If the area of circle is 112m² then the circumference of the circle is:

1 Mark(s)

Your Answer:

27.68m² 27.68m²
37.68m² 37.68m²
50.68m² 50.68m²
55.68m² 55.68m²

The degree of the polynomial p(x) = 3 is:

1 Mark(s)

Your Answer:

A) 3 A) 3
B) 1 B) 1
C) 0 C) 0
D) 2 D) 2

The matrix $\left[\begin{array}{ccc} 0 & 5 & -7 \\ -5 & 0 & 11 \\ 7 & -11 & 0 \end{array}\right]$ is

1 Mark(s)

Your Answer:

A) a skew-symmetric matrix A) a skew-symmetric matrix
B) a symmetric matrix B) a symmetric matrix
C) a diagonal matrix C) a diagonal matrix
D) an upper triangular matrix D) an upper triangular matrix

In the ordered pair (-2, -3), the abscissa is:

1 Mark(s)

Your Answer:

3 3
−2 −2
2 2
−3 −3

What is the worst case of a linear search algorithm?

1 Mark(s)

Your Answer:

When the searching item is present in the middle of the list.
When the searching item is the last element in the list.
When the searching is not available in the list.
When the searching item is the last element in the list or is not present in the list.

In what ratio must a grocer mix teas worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?

1 Mark(s)

Your Answer:

3:2 3:2
3:4 3:4
3:5 3:5
4:5 4:5

If the ratio of the areas of two squares is 9:1 ratio of their perimeters is_________?

1 Mark(s)

Your Answer:

9:1 9:1
3:1 3:1
3:4 3:4
1:3 1:3

If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?

1 Mark(s)

Your Answer:

11% 11%
10% 10%
11 1/9 % 11 1/9 %
9 1/11 % 9 1/11 %

If two quantities are related in such a way that when 1 quantity increases, the other quantity decreases, then this variation is said to be:

1 Mark(s)

Your Answer:

extreme variation extreme variation
joint variation joint variation
direct variation direct variation
inverse variation inverse variation

There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?

1 Mark(s)

Your Answer:

870 870
435 435
30! 30!
29! + 1 29! + 1

8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?

1 Mark(s)

Your Answer:

6 days 6 days
8 days 8 days
10 days 10 days
12 days 12 days

If the value of tan2 A = 1 + 2tan2 B, then what is the value of √2 cosA - cosB?

1 Mark(s)

Your Answer:

0 0
9 9
√2 √2
√3 √3

The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is_______?

1 Mark(s)

Your Answer:

529 sq m 529 sq m
240 sq m 240 sq m
260 sq m 260 sq m
480 sq m 480 sq m

If Is equivalent to $\frac{x}{24}$, then the value of x is

1 Mark(s)

Your Answer:

A) 15 A) 15
B) 20 B) 20
C) 16 C) 16
D) 18 D) 18

(a – 3b) (2a + 6b) = _______

1 Mark(s)

Your Answer:

A) 2a 2 – 18b 2 A) 2a 2 – 18b 2
B) a 2 – 9b 2 B) a 2 – 9b 2
C) 2a 2 – 9b 2 C) 2a 2 – 9b 2
D) a 2 – 18b 2 D) a 2 – 18b 2

A sum is divided among A, B, and C such that A gets $\frac{2}{5}$ of what B gets and B gets $\frac{3}{4}$ of what C gets. If C gets $₹2400$, find the total sum.

1 Mark(s)

Your Answer:

₹4920 ₹4920
₹4800 ₹4800
₹5000 ₹5000
₹5200 ₹5200

The diagonals of a rhombus are 15 cm and 20 cm. Find its area?

1 Mark(s)

Your Answer:

120 sq m 120 sq m
300 sq m 300 sq m
150 sq m 150 sq m
480 sq m 480 sq m

What is the value of 34 $\frac{10}{10}$ + 30 $\frac{3}{10}$ ?

1 Mark(s)

Your Answer:

A) 65 $\frac{3}{10}$ A) 65 $\frac{3}{10}$
B) 64 $\frac{9}{10}$ B) 64 $\frac{9}{10}$
C) 4 $\frac{7}{10}$ C) 4 $\frac{7}{10}$
D) 34 $\frac{13}{10}$ (\frac{3}{10}\) D) 34 $\frac{13}{10}$ (\frac{3}{10}\)

The equation 2cos -1 x + sin -1 x = $\frac{11 \pi}{6}$ has

1 Mark(s)

Your Answer:

A) no solution A) no solution
B) only one solution B) only one solution
C) two solutions C) two solutions
D) three solutions D) three solutions

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years ?

1 Mark(s)

Your Answer:

1 : 3 1 : 3
1 : 4 1 : 4
2 : 3 2 : 3
Data inadequate Data inadequate

Evaluating Your Answers

Arithmetic Mock Test 3 : Question 1 of 32