MCQ Assessment Fakiragram College

Question 1

In the given figure, ABCD is a parallelogram and CEFD is a rhombus. ∠ADF = 90° and ∠CFD = 24°. Find ∠DAB.

Select your answer:

A)

$48^\circ$

B)

$42^\circ$

C)

$56^\circ$

D)

$58^\circ$

Question 2

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?

Select your answer:

A)

$400\sqrt{5}\,\text{m}$

B)

$800\text{m}$

C)

$200\sqrt{10}\,\text{m}$

D)

$200\sqrt{2}\,\text{m}$

Question 3

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.

Select your answer:

A)

A

B)

B

C)

C

D)

D

Question 4

Choose the odd numeral pair / group.

Select your answer:

A)

$\text{2--8}$

B)

$$3\!-\!27$$

C)

$4\,\text{--}\,32$

D)

$5\,\text{--}\,125$

Question 5

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?

Select your answer:

A)

x < y < z

B)

y < x < z

C)

z < x < y

D)

x < z < y

Question 6

Find the number of triangles in the given figure.

Select your answer:

A)

18

B)

20

C)

24

D)

None of the above

Question 7

Which number will replace the question mark?

Select your answer:

A)

8

B)

4

C)

10

D)

6

Question 8

Group the given figures into three classes using each figure only once.

Select your answer:

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

Question 9

\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?}

Select your answer:

A)

I only

B)

II only

C)

III only

D)

I and III only

Question 10

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?

Select your answer:

A)

$400\sqrt{5}\text{m}$

B)

$800 \text{m}$

C)

$200\sqrt{10}\text{m}$

D)

$000\sqrt{2}\text{m}$

Question 11

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.

Select your answer:

A)

$\frac{5}{12}\text{cm}$

B)

$\frac{12}{5}\text{cm}$

C)

$\frac{1}{5}\text{cm}$

D)

$\frac{1}{12}\text{cm}$

Question 12

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?

Select your answer:

A)

A

B)

B

C)

C

D)

D

Question 13

Choose the odd numeral pair/group.

Select your answer:

A)

$9\, \text{--}\,3$

B)

$\frac{1}{2}\,\text{--}\,\frac{1}{8}$

C)

$\frac{1}{3}\,\text{--}\,\frac{1}{12}$

D)

$24\,\text{--}\,6$

Question 14

Select a figure from amongst the options which will continue the same series as established by the five Problem Figures.

Select your answer:

A)

B)

C)

D)

Question 15

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.

Select your answer:

A)

undefined

B)

undefined

C)

D)

Question 16

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?

14c8d8fc-6393-41e3-846d-c144ccff05bd_5Q.png

Select your answer:

A)

B)

C)

D)

Question 17

If 324 × 150 = 54, 251 × 402 = 48 and 523 × 345 = 120, then 651 × 345 = ?

Select your answer:

A)

120

B)

85

C)

144

D)

60

Question 18

Find the figure which contains the Fig. (X) as its embedded part.

964b64ae-f72e-48c0-848c-4602c386f39a_12Q.png

Select your answer:

A)

B)

C)

D)

Question 19

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?

Select your answer:

A)

1

B)

9

C)

4

D)

0

Question 20

In the given matrix the values of A, B and C respectively are ____.

98a0928c-18d6-4056-8ec6-3feaa70a2fdc_14Q.png

Select your answer:

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

Question 21

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?

Select your answer:

A)

$65\, \text{km}$

B)

$75\, \text{km}$

C)

$80\, \text{km}$

D)

$85\, \text{km}$

Question 22

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?

Select your answer:

A)

Maternal uncle

B)

Father

C)

Grandfather

D)

Father-in-law

Question 23

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?

Select your answer:

A)

Mars

B)

Jupiter

C)

Earth

D)

Sun

Question 24

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?

7cd97ce4-445f-4c08-925f-a2998be4eadd_18Q.png

Select your answer:

A)

U

B)

T

C)

S

D)

P

Question 25

In the given question, which number will replace the question mark?

1dedd543-5ea3-43a1-9a30-40c91d0d0732_19Q.png

Select your answer:

A)

0

B)

2

C)

11

D)

12

Question 26

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?

Select your answer:

A)

C

B)

I

C)

T

D)

U

Question 27

If x < –1, then which of the following expressions holds?

Select your answer:

A)

$x < x^2 < x^3$

B)

$x < x^3 < x^2$

C)

$x^2 < x^3 < x$

D)

$x^3 < x < x^2$

Question 28

If the perimeter of a rectangular garden plot is 80 metres, which of the following could be the length of one of its sides?

Select your answer:

A)

I only

B)

II only

C)

III only

D)

I and II

Question 29

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?

32fd0317-aca5-47eb-bec6-ec212828de9a_23Q.png

Select your answer:

A)

8 sq.units

B)

12 sq.units

C)

16 sq.units

D)

32 sq.units

Question 30

If 3x + 2y = 17 and x and y are positive integers, then y could be which of the following?

Select your answer:

A)

2

B)

3

C)

4

D)

5

Question 31

$\text{In the given figure } l_1 \parallel l_2. \text{ Which of the following must be true?}$

d8dd2745-5bb0-4cb3-b7bd-02de41c8958d_25Q.png

Select your answer:

A)

$\text{f = b}$

B)

$\text{b = c}$

C)

$\text{c = e}$

D)

$\text{d = f}$

Question 32

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)?

86bcba44-0fae-4b12-b3c8-5f0f766e8a64_26Q.png

Select your answer:

A)

$\left(5,-\frac{5}{2}\right)$

B)

$\left(-1,\frac{5}{8}\right)$

C)

$\left(0, 4\right)$

D)

$\left(\frac{2}{3},\frac{1}{3}\right)$

Question 33

$In figure, \angle L = 62^\circ, \angle LMN = 54^\circ. If MO and NO are bisectors of \angle LMN and \angle LNM respectively of DLMN, find \angle ONM and \angle MON.$

ba1781df-c507-45a4-8b15-f39cd65ddfe1_16Q.png

Select your answer:

A)

$27^\circ, 121^\circ$

B)

$64^\circ, 32^\circ$

C)

$64^\circ, 121^\circ$

D)

$32^\circ, 121^\circ$

Question 34

What should come next in the letter series given below?

0becd933-182e-482e-9367-68fdb3c892f9_1q.png

Select your answer:

A)

A

B)

I

C)

H

D)

B

Question 35

How many pairs of letters are there in the word NURSING which have as many letters between them as in the English alphabet?

Select your answer:

A)

One

B)

Three

C)

Five

D)

Six

Question 36

Study the following arrangement carefully and answer the question given below :

6b967cc0-d875-4e3c-85e3-b8a7f5bb1b4b_3q.png

Select your answer:

A)

$\text{F16}$

B)

C)

D)

$\text{F1Z}$

Question 37

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?

Select your answer:

A)

Can't say

B)

S

C)

M

D)

Either S or J

Question 38

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?

Select your answer:

A)

8

B)

2

C)

5

D)

3

Question 39

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?

Select your answer:

A)

PQ

B)

UW

C)

D)

PT

Question 40

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?

a03c7c53-cd1d-47f3-b928-90c91c1ebbed_q8.png

Select your answer:

A)

1

B)

0

C)

2

D)

4

Question 41

Find the missing character if the given matrix follows a certain rule row-wise or column-wise.

b17b6e74-d857-4a8c-9baa-bc2e243429b8_q9.png

Select your answer:

A)

2

B)

3

C)

4

D)

5

Question 42

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?

34b4c028-a2d3-4c9e-8407-567cc6369228_q10.png

Select your answer:

A)

1

B)

2

C)

3

D)

7

Question 43

Select the mirror image of Figure (X) from the given options, if the mirror is placed vertically to the right.

e471f5ca-ea42-43a7-b3fa-413515210392_11q.png

Select your answer:

A)

B)

C)

D)

Question 44

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.

95e1d90b-8163-460b-bb15-e3eecd6618cf_12q.png

Select your answer:

A)

B)

C)

D)

Question 45

The given question consists of Problem Figures followed by option figures. Select a figure which will continue the series.

14761ba5-63e5-40ab-9e0e-bede8f439a4c_15q.png

Select your answer:

A)

B)

C)

D)

Question 46

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).

23b75bfc-7b8d-4d4b-9937-b6b2957db5c5_14q.png

Select your answer:

A)

B)

C)

D)

Question 47

Select the figure from the options which can be formed from the pieces given in Figure (X).

ef037f2c-145f-406d-99da-11837bf5d801_15q.png

Select your answer:

A)

B)

C)

D)

Question 48

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

38f0f2d0-b476-43b8-9ac1-77e1d0e3c5cd_18q.png

Select your answer:

A)

$\text{91 cm}$

B)

$\text{60\, cm}$

C)

$\text{51 cm}$

D)

$\text{70 cm}$

Question 49

In the figure, it is given that

838c0fe2-286c-41b9-a8e9-fd190a082074_17q.png

Select your answer:

A)

$\text{75}^\circ$

B)

$\text{30}^\circ$

C)

$\text{60}^\circ$

D)

$\text{45}^\circ$

Question 50

$\text{The value of} \sqrt{6 + 2\sqrt{3} + 2\sqrt{2} + 2\sqrt{6}} \text{-} \frac{1}{\sqrt{5 - 2\sqrt{6}}}$

Select your answer:

A)

2

B)

-1

C)

$\sqrt{6} + \sqrt{3}$

D)

$\text{1}$

Question 51

.

$\text{If } a + b + c = 15 \text{ and } a^2 + b^2 + c^2 = 83, \text{ find the value of } a^3 + b^3 + c^3 - 3abc.$

Select your answer:

A)

180

B)

71

C)

128

D)

95

Question 52

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

Select your answer:

A)

85.5

B)

92.5

C)

90.5

D)

87.5

Question 53

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.

Select your answer:

A)

$\frac{2}{3}$

B)

$\frac{1}{3}$

C)

$\frac{1}{6}$

D)

$\frac{5}{6}$

Question 54

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?

98b380cd-e741-47a9-afa1-9a48099eea76_23q.png

Select your answer:

A)

$\frac{1}{12}$

B)

$\frac{1}{6}$

C)

$\frac{1}{24}$

D)

$\frac{1}{8}$

Question 55

$\text{The value of the expression } \frac{(0.6)^0 - (0.1)^{-1}}{\left(\frac{2}{3}\right)^{-1} \cdot \left(\frac{3}{2}\right)^3 + \left(-\frac{1}{3}\right)^{-1}}$

Select your answer:

A)

$-\frac{3}{2}$

B)

$\frac{2}{3}$

C)

$\frac{3}{2}$

D)

$\frac{9}{4}$

Question 56

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 ?

5789d7e5-6ab3-40f3-b46a-39b20fa46e03_24q.png

Select your answer:

A)

$\frac{(4\sqrt{2} + 1)a}{(4\sqrt{2} + 1)}\ \text{cm}$

B)

$\frac{5}{6}\, \text{a cm}$

C)

$(7 + 3\sqrt{2})\, \text{a cm} $

D)

None of these

Question 57

$\text{In the given figure, } O \text{ is the centre of the circle. The distance between } P \text{ and } Q \text{ is } 4\,\text{cm. Find } \angle ROQ.$

0f6628ef-3e52-457f-96e6-fe92ef2f4734_26q.png

Select your answer:

A)

$50^\circ $

B)

$60^\circ $

C)

$70^\circ $

D)

$35^\circ $

Question 58

In the given figure, CD || AE and CY || BA. Then ar(BCZY) =

d1a842d1-7b3d-45a1-a727-acd3aac0c334_27q.png

Select your answer:

A)

$\text{ar}(\triangle CBY) $

B)

$\text{ar}(\triangle ZDC) $

C)

$\text{ar}(\triangle EDZ) $

D)

All of these

Question 59

The given diagram is drawn on a cartesian plane.

3da38f60-858d-4a1b-a4d5-1a9c8d5154ac_29q.png

Select your answer:

A)

(-3, 3)

B)

(3, -3)

C)

(-3, -3)

D)

(-3, 2)

Question 60

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.

$\(\text{Find the volume of the remaining solid, in }\mathrm{cm}^3.$ \)

4015b334-9c67-4c98-8288-e58298eef3d3_28q.png

Select your answer:

A)

$300\, \pi$

B)

$295\, \pi$

C)

$345\, \pi$

D)

$325\, \pi $

Question 61

$\[ \text{If } a - b = 3, \; a + b + x = 2, \text{ then the value of } (a - b)\left[x^3 + 3(a + b)x^2 + 3x(a + b)^2 + (a + b)^3\right] \text{ is:} \] $

Select your answer:

A)

84

B)

48

C)

32

D)

24

Question 62

$\[ \text{ABCD is a trapezium in which } AB \parallel CD. \text{ Then } AC^2 + BD^2 \text{ is equal to:} \] $

5fcde3cc-1344-4518-b840-0002b5f6dc00_31q.png

Select your answer:

A)

$\[ AD^2 + BC^2 - 2AB \cdot CD \] $

B)

$\[ AD^2 + BC^2 + 2AB \cdot CD \] $

C)

$\[ AD^2 - BC^2 + 2AB \cdot CD \] $

D)

$\[ AD^2 - BC^2 - 2AB \cdot CD \] $

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