Question Bank
Question 1:
Easy ID: 2077 | Subject: Mathematics | Topic: Coordinate Geometry
\[
\text{ABCD is a trapezium in which } AB \parallel CD. \text{ Then } AC^2 + BD^2 \text{ is equal to:}
\]
Options:
A)
\[
AD^2 + BC^2 - 2AB \cdot CD
\]
LaTeX
B)
\[
AD^2 + BC^2 + 2AB \cdot CD
\]
Correct
LaTeX
C)
\[
AD^2 - BC^2 + 2AB \cdot CD
\]
LaTeX
D)
\[
AD^2 - BC^2 - 2AB \cdot CD
\]
LaTeX
Question 2:
Easy ID: 2076 | Subject: Mathematics | Topic: MATHEMATICAL REASONING
\[
\text{If } a - b = 3, \; a + b + x = 2, \text{ then the value of }
(a - b)\left[x^3 + 3(a + b)x^2 + 3x(a + b)^2 + (a + b)^3\right] \text{ is:}
\]
Options:
A)
84
B)
48
C)
32
D)
24
Correct
Question 3:
Easy ID: 2075 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
The given diagram shows a cylinder with a diameter of 10 cm and height 15 cm. The shaded portion in the form of a cone, with base diameter 10 cm and height 6 cm, is hollowed out.
\(\text{Find the volume of the remaining solid, in }\mathrm{cm}^3.\)
Options:
A)
300\, \pi
LaTeX
B)
295\, \pi
LaTeX
C)
345\, \pi
LaTeX
D)
325\, \pi
Correct
LaTeX
Question 4:
Easy ID: 2067 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
The given diagram is drawn on a cartesian plane.
PQRS is a square. The coordinates of S are
Options:
A)
(-3, 3)
Correct
B)
(3, -3)
C)
(-3, -3)
D)
(-3, 2)
Question 5:
Easy ID: 1065 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In the given figure, CD || AE and CY || BA. Then ar(BCZY) =
Options:
A)
\text{ar}(\triangle CBY)
LaTeX
B)
\text{ar}(\triangle ZDC)
LaTeX
C)
\text{ar}(\triangle EDZ)
Correct
LaTeX
D)
All of these
Question 6:
Easy ID: 1064 | Subject: Mathematics | Topic: Coordinate Geometry
$\text{In the given figure, } O \text{ is the centre of the circle. The distance between } P \text{ and } Q \text{ is } 4\,\text{cm. Find } \angle ROQ.$
Options:
A)
50^\circ
LaTeX
B)
60^\circ
LaTeX
C)
70^\circ
Correct
LaTeX
D)
35^\circ
LaTeX
Question 7:
Easy ID: 1063 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In the given figure, square 2 is formed by joining the mid-points of square 1, square 3 is formed by joining the mid-points of square 2 and so on. In this way total five squares are drawn. The side of the square 1 is 'a' cm. What is the sum of perimeters of all the five squares ?
Options:
A)
\frac{(4\sqrt{2} + 1)a}{(4\sqrt{2} + 1)}\ \text{cm}
Correct
LaTeX
B)
\frac{5}{6}\, \text{a cm}
LaTeX
C)
(7 + 3\sqrt{2})\, \text{a cm}
LaTeX
D)
None of these
Question 8:
Easy ID: 1062 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
$\text{The value of the expression }
\frac{(0.6)^0 - (0.1)^{-1}}{\left(\frac{2}{3}\right)^{-1} \cdot \left(\frac{3}{2}\right)^3 + \left(-\frac{1}{3}\right)^{-1}}$
Options:
A)
-\frac{3}{2}
Correct
LaTeX
B)
\frac{2}{3}
LaTeX
C)
\frac{3}{2}
LaTeX
D)
\frac{9}{4}
LaTeX
Question 9:
Easy ID: 1059 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In the given figure, ABCDEF is a regular hexagon and ∠AOF = 90°. FO is parallel to ED. What is the ratio of the area of the triangle AOF to that of the hexagon ABCDEF?
Options:
A)
\frac{1}{12}
Correct
LaTeX
B)
\frac{1}{6}
LaTeX
C)
\frac{1}{24}
LaTeX
D)
\frac{1}{8}
LaTeX
Question 10:
Easy ID: 1058 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
A bag contains 8 red and 4 green balls. Find the probability that the ball drawn is red when one ball is selected at random.
Options:
A)
\frac{2}{3}
Correct
LaTeX
B)
\frac{1}{3}
LaTeX
C)
\frac{1}{6}
LaTeX
D)
\frac{5}{6}
LaTeX
Question 11:
Easy ID: 1057 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be K% lower than the volume of B. The value of K must be
Options:
A)
85.5
B)
92.5
C)
90.5
D)
87.5
Correct
Question 12:
Easy ID: 1056 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
.
$\text{If } a + b + c = 15 \text{ and } a^2 + b^2 + c^2 = 83, \text{ find the value of } a^3 + b^3 + c^3 - 3abc.$
Options:
A)
180
Correct
B)
71
C)
128
D)
95
Question 13:
Easy ID: 1052 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
$\text{The value of} \sqrt{6 + 2\sqrt{3} + 2\sqrt{2} + 2\sqrt{6}} \text{-} \frac{1}{\sqrt{5 - 2\sqrt{6}}}$
Options:
A)
2
B)
-1
C)
\sqrt{6} + \sqrt{3}
LaTeX
D)
\text{1}
Correct
LaTeX
Question 14:
Easy ID: 1051 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In the figure, it is given that
Options:
A)
\text{75}^\circ
LaTeX
B)
\text{30}^\circ
LaTeX
C)
\text{60}^\circ
LaTeX
D)
\text{45}^\circ
LaTeX
Question 15:
Easy ID: 1049 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In a DABC, P, Q and R are the mid-points of sides BC, CA and AB respectively. If AC = 21 cm, BC = 29 cm and AB = 30 cm. The perimeter of the quad. ARPQ is
Options:
A)
\text{91 cm}
LaTeX
B)
\text{60\, cm}
LaTeX
C)
\text{51 cm}
Correct
LaTeX
D)
\text{70 cm}
LaTeX
Question 16:
Easy ID: 1047 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Select the figure from the options which can be formed from the pieces given in Figure (X).
Options:
A)
B)
C)
Correct
D)
Question 17:
Easy ID: 1046 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
There is a certain relationship between figures (i) and (ii). Establish the similar relationship between figures (iii) and (iv) by selecting a figure from the options which will replace the (?) in figure (iv).
Options:
A)
B)
C)
D)
Correct
Question 18:
Easy ID: 1045 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
The given question consists of Problem Figures followed by option figures. Select a figure which will continue the series.
Options:
A)
B)
C)
Correct
D)
Question 19:
Easy ID: 1044 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Given below are the three figures (X), (Y) and (Z) showing a sequence of folding of a piece of paper. Figure (Z) shows the manner in which the folded
paper has been cut. Identify the unfolded form of piece of paper.
paper has been cut. Identify the unfolded form of piece of paper.
Options:
A)
B)
C)
Correct
D)
Question 20:
Easy ID: 1043 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Select the mirror image of Figure (X) from the given options, if the mirror is placed vertically to the right.
Options:
A)
B)
Correct
C)
D)
Question 21:
Easy ID: 1042 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In the given Venn diagram, triangle represents the healthy, square represents the old and circle represents the men. Which of the following
regions represents the men who are healthy but not old?
regions represents the men who are healthy but not old?
Options:
A)
1
B)
2
Correct
C)
3
D)
7
Question 22:
Easy ID: 1041 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Find the missing character if the given matrix follows a certain rule row-wise or column-wise.
Options:
A)
2
B)
3
C)
4
Correct
D)
5
Question 23:
Easy ID: 1040 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
A pile of cubes of equal size is arranged as shown in the figure. Now the block is dipped into a bucket full of red paint so that only the surfaces of the
block get coloured. How many cubes are coloured on four faces only?
block get coloured. How many cubes are coloured on four faces only?
Options:
A)
1
B)
0
C)
2
Correct
D)
4
Question 24:
Easy ID: 1039 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
P, Q, R, S, T, U and W are sitting around a circle facing at the centre. S is third to the left of P who is second to the left of U. T is not a neighbour of
either U or S. R is third to left of Q. Which of the following information represents the first person sitting to the immediate right of the second person?
either U or S. R is third to left of Q. Which of the following information represents the first person sitting to the immediate right of the second person?
Options:
A)
PQ
B)
UW
C)
D)
PT
Correct
Question 25:
Easy ID: 1038 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In a certain code 'ring a bell' is written as '5 8 2', 'did not ring' is written as '3 5 9' and 'not a reason' is written as '7 2 9'. What is the code for 'ring?
Options:
A)
8
B)
2
C)
5
Correct
D)
3
Question 26:
Easy ID: 1037 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Four brothers go to a dance party. As they leave, each of the brothers accidentally takes a hat belonging to another brother and a coat belonging to a third brother. M takes the coat belonging to the brother whose hat is taken by P, while P's coat is taken by the brother who takes M's hat. S takes J's hat. Whose hat was taken by P?
Options:
A)
Can't say
B)
S
Correct
C)
M
D)
Either S or J
Question 27:
Easy ID: 1036 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Study the following arrangement carefully and answer the question given below :
Options:
A)
\text{F16}
Correct
LaTeX
B)
C)
D)
\text{F1Z}
LaTeX
Question 28:
Easy ID: 1035 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
How many pairs of letters are there in the word NURSING which have as many letters between them as in the English alphabet?
Options:
A)
One
B)
Three
Correct
C)
Five
D)
Six
Question 29:
Easy ID: 1034 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
What should come next in the letter series given below?
Options:
A)
A
B)
I
C)
H
Correct
D)
B
Question 30:
Easy ID: 52 | Subject: Mathematics | Topic: Coordinate Geometry
$In figure, \angle L = 62^\circ, \angle LMN = 54^\circ. If MO and NO are bisectors of \angle LMN and \angle LNM respectively of DLMN, find \angle ONM and \angle MON.$
Options:
A)
27^\circ, 121^\circ
LaTeX
B)
64^\circ, 32^\circ
LaTeX
C)
64^\circ, 121^\circ
LaTeX
D)
32^\circ, 121^\circ
Correct
LaTeX
Question 31:
Easy ID: 51 | Subject: Mathematics | Topic: MATHEMATICAL REASONING
In the adjoining figure, point P the intersection of lines l1 and l2 has coordinates (a, b) as shown here. Which of the following could be the ordered pair (a, b)?
Options:
A)
\left(5,-\frac{5}{2}\right)
LaTeX
B)
\left(-1,\frac{5}{8}\right)
Correct
LaTeX
C)
\left(0, 4\right)
LaTeX
D)
\left(\frac{2}{3},\frac{1}{3}\right)
LaTeX
Question 32:
Easy ID: 50 | Subject: Mathematics | Topic: MATHEMATICAL REASONING
$\text{In the given figure } l_1 \parallel l_2. \text{ Which of the following must be true?}$
Options:
A)
\text{f = b}
Correct
LaTeX
B)
\text{b = c}
LaTeX
C)
\text{c = e}
LaTeX
D)
\text{d = f}
LaTeX
Question 33:
Easy ID: 49 | Subject: Mathematics | Topic: MATHEMATICAL REASONING
If 3x + 2y = 17 and x and y are positive integers, then y could be which of the following?
Options:
A)
2
B)
3
C)
4
Correct
D)
5
Question 34:
Easy ID: 48 | Subject: Mathematics | Topic: MATHEMATICAL REASONING
In the adjoining figure, circles with centres at L, M and N each have a radius of 2 units and are placed as shown here. If PQRS is the smallest rectangle that will enclose the 3 circles, what is the area of PQRS?
Options:
A)
8 sq.units
B)
12 sq.units
C)
16 sq.units
D)
32 sq.units
Correct
Question 35:
Easy ID: 47 | Subject: Mathematics | Topic: MATHEMATICAL REASONING
If the perimeter of a rectangular garden plot is 80 metres, which of the following could be the length of one of its sides?
I. 30 metres II. 40 metres III. 50 metres
Options:
A)
I only
Correct
B)
II only
C)
III only
D)
I and II
Question 36:
Easy ID: 45 | Subject: Mathematics | Topic: MATHEMATICAL REASONING
If x < –1, then which of the following expressions holds?
Options:
A)
x < x^2 < x^3
LaTeX
B)
x < x^3 < x^2
LaTeX
C)
x^2 < x^3 < x
LaTeX
D)
x^3 < x < x^2
Correct
LaTeX
Question 37:
Easy ID: 44 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
If the positions of the third and tenth letters of the word DOCUMENTATION are interchanged, and likewise the positions of the fourth and seventh letters, the second and sixth letters, are also interchanged, then which of the following will be eleventh letter from the right end?
Options:
A)
C
B)
I
C)
T
Correct
D)
U
Question 38:
Easy ID: 43 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In the given question, which number will replace the question mark?
Options:
A)
0
B)
2
C)
11
Correct
D)
12
Question 39:
Easy ID: 42 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In the given figure, square represents doctors, triangle represents ladies and circle represents surgeons. Which letter represents the ladies who are both doctors and surgeons?
Options:
A)
U
B)
T
Correct
C)
S
D)
P
Question 40:
Easy ID: 41 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
If Moon is called Star, Star is Sun, Sun is Earth, Earth is Jupiter, Jupiter is Mars and Mars is Mercury, where does man live?
Options:
A)
Mars
B)
Jupiter
Correct
C)
Earth
D)
Sun
Question 41:
Easy ID: 40 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Neelam, who is Rohit's daughter, says to Indu, "Your mother Reeta is the younger sister of my father, who is the third child of Sohanji." How is Sohanji related to Indu?
Options:
A)
Maternal uncle
B)
Father
C)
Grandfather
Correct
D)
Father-in-law
Question 42:
Easy ID: 39 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Two cars start from opposite places on a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and runs for another 25 km and then takes the direction to reach the main road. In the mean time, due to a minor break down the other car has run only 35 km along the main road. What would be the distance between the two cars at this point?
Options:
A)
65\, \text{km}
Correct
LaTeX
B)
75\, \text{km}
LaTeX
C)
80\, \text{km}
LaTeX
D)
85\, \text{km}
LaTeX
Question 43:
Easy ID: 38 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
$In the given matrix the values of A, B and C respectively are ____.$
Options:
A)
A = 13, B = 11, C = 9
B)
A = 13, B = 9, C = 11
C)
A = 9, B = 11, C = 13
D)
A = 9, B = 13, C = 11
Correct
Question 44:
Easy ID: 37 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In the number 5904627813 first and sixth digits are interchanged; and similarly the positions of second and seventh digits and so on are interchanged. Which of the following will be the 4th digit from the right after the new arrangement?
Options:
A)
1
B)
9
Correct
C)
4
D)
0
Question 45:
Easy ID: 36 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Find the figure which contains the Fig. (X) as its embedded part.
Options:
A)
B)
Correct
C)
D)
Question 46:
Easy ID: 35 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
If 324 × 150 = 54, 251 × 402 = 48 and 523 × 345 = 120, then 651 × 345 = ?
Options:
A)
120
B)
85
C)
144
Correct
D)
60
Question 47:
Easy ID: 34 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
In the matrix there are eight designs and one space is left blank as shown by a question mark.
Which answer figures will replace the question mark?
Which answer figures will replace the question mark?
Options:
A)
B)
C)
D)
Correct
Question 48:
Easy ID: 33 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Out of four figures marked (A), (B), (C) and (D) three are similar in a certain manner. However one figure is not like the other three. Choose the figure which is different from the rest.
Options:
A)
B)
Correct
C)
D)
Question 49:
Easy ID: 32 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Select a figure from amongst the options which will continue the same series as established by the five Problem Figures.
Options:
A)
B)
C)
D)
Correct
Question 50:
Easy ID: 31 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Choose the odd numeral pair/group.
Options:
A)
9\, \text{--}\,3
LaTeX
B)
\frac{1}{2}\,\text{--}\,\frac{1}{8}
LaTeX
C)
\frac{1}{3}\,\text{--}\,\frac{1}{12}
LaTeX
D)
24\,\text{--}\,6
LaTeX
Question 51:
Easy ID: 30 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Study the following information and answer the question given below it.
A blacksmith has five iron articles A, B, C, D and E, each having a different weight.
(i) A weighs twice as much as B. (ii) B weighs four and a half times as much as C.
(iii) C weighs half as much as D. (iv) D weighs half as much as E.
(v) E weighs less than A but more than C.
Which of the following is the lightest?
A blacksmith has five iron articles A, B, C, D and E, each having a different weight.
(i) A weighs twice as much as B. (ii) B weighs four and a half times as much as C.
(iii) C weighs half as much as D. (iv) D weighs half as much as E.
(v) E weighs less than A but more than C.
Which of the following is the lightest?
Options:
A)
A
B)
B
C)
C
Correct
D)
D
Question 52:
Easy ID: 28 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
If one leg of an isosceles right-angled triangle is increased by 6 cm and the other leg is increased by 4 cm, then change in area of the triangles is 24 sq cm. Find the length of the leg of the original triangle.
Options:
A)
\frac{5}{12}\text{cm}
LaTeX
B)
\frac{12}{5}\text{cm}
LaTeX
C)
\frac{1}{5}\text{cm}
LaTeX
D)
\frac{1}{12}\text{cm}
LaTeX
Question 53:
Easy ID: 27 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Ravi starts from his house and moves towards South. He walks 100 m, then turns left and walks 200 m, turns right and walks 500 m. How far is he from is house?
Options:
A)
400\sqrt{5}\text{m}
LaTeX
B)
800 \text{m}
LaTeX
C)
200\sqrt{10}\text{m}
Correct
LaTeX
D)
000\sqrt{2}\text{m}
LaTeX
Question 54:
Easy ID: 26 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
$ \text{If a right triangle has sides of length 1 and}\sqrt{2}, \text{which of the following could be the length of the remaining side?}$
$ \text{I.\qquad 1} \qquad \text{II.\qquad}\sqrt{2}\qquad \text{III.\qquad}\sqrt{3}$
Options:
A)
I only
B)
II only
C)
III only
D)
I and III only
Correct
Question 55:
Easy ID: 24 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Group the given figures into three classes using each figure only once.
Options:
A)
3, 4, 9; 5, 7, 8; 1, 2, 6
B)
1, 5, 6; 2, 4, 8; 3, 7, 9
C)
4, 6, 8; 3, 5, 7; 1, 2, 9
D)
1, 2, 7; 3, 5, 9; 4, 6, 8
Correct
Question 56:
Easy ID: 16 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Which number will replace the question mark?
Options:
A)
8
B)
4
C)
10
Correct
D)
6
Question 57:
Easy ID: 15 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Find the number of triangles in the given figure.
Options:
A)
18
B)
20
C)
24
Correct
D)
None of the above
Question 58:
Easy ID: 14 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
The bank balance of Puran is more than that of Sushma but less than the bank balance of Singh.
If the bank balance of Puran, Sushma and Singh be x, y and z respectively then which of the
following is correct?
If the bank balance of Puran, Sushma and Singh be x, y and z respectively then which of the
following is correct?
Options:
A)
x < y < z
B)
y < x < z
Correct
C)
z < x < y
D)
x < z < y
Question 59:
Easy ID: 13 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Choose the odd numeral pair / group.
Options:
A)
\text{2--8}
LaTeX
B)
$3\!-\!27$
LaTeX
C)
4\,\text{--}\,32
LaTeX
D)
5\,\text{--}\,125
LaTeX
Question 60:
Easy ID: 10 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Study the following information and answer the question given below it.
A blacksmith has five iron articles A, B, C, D and E, each having a different weight.
A blacksmith has five iron articles A, B, C, D and E, each having a different weight.
Options:
A)
A
B)
B
C)
C
Correct
D)
D
Question 61:
Easy ID: 8 | Subject: Mathematics | Topic: Verbal and Non-Verbal Reasoning
Ravi starts from his house and moves towards South.
He walks 100 m, then turns left and walks 200 m,
turns right and walks 500 m. How far is he from his
house?
He walks 100 m, then turns left and walks 200 m,
turns right and walks 500 m. How far is he from his
house?
Options:
A)
400\sqrt{5}\,\text{m}
LaTeX
B)
800\text{m}
LaTeX
C)
200\sqrt{10}\,\text{m}
Correct
LaTeX
D)
200\sqrt{2}\,\text{m}
LaTeX
Question 62:
Easy ID: 7 | Subject: Mathematics | Topic: Coordinate Geometry
In the given figure, ABCD is a parallelogram and
CEFD is a rhombus. ∠ADF = 90° and ∠CFD = 24°.
Find ∠DAB.
CEFD is a rhombus. ∠ADF = 90° and ∠CFD = 24°.
Find ∠DAB.
Options:
A)
48^\circ
LaTeX
B)
42^\circ
Correct
LaTeX
C)
56^\circ
LaTeX
D)
58^\circ
LaTeX