General Intelligence and Reasoning

Completion of Figural Pattern
Non-Verbal Classification
Mirror Image and Water Image
Verbal Series
Arrangement of Words in a Logical Order (Alphabetical Order)
General Intelligence and Reasoning
Finding the Missing Number
Cubes and Dices
Verbal Analogy
Deviation of Figure
Blood Relationship
Symbols & Notations
Direction & Distance Test
Logical Venn-Diagram
Scheduled Day/Date/Time
Ranking/Arrangement
Miscellaneous
Non-Verbal Analogy or Similarity
Verbal Classification
Paper Cutting, Folding & Punching
Embedded Figure
Syllogism, Statement & Conclusions
Coding-Decoding
Non-Verbal Series
Word Formation
Arithmetical Problems

General Awareness

Indian Polity and Constitution
Indian Art & Culture
Geography Of India
Economics
History of India
Indian Economy
World History
Physical Geography
World Geography
Honours and Awards
Biology
Chemistry
Miscellaneous
Computer and IT
Physics
Books and Authors
National Events
Discoveries and Inventions
Science and Technology
Sports
Important Decades, Years and Days
UNO, Other International and National Organisations
International Events
Science
Science
Personalities
World Art and Culture

Quantitative Aptitude

LCM and HCF
Simplification
Average
Ratio and Proportion
Quantitative Aptitude
Trigonometry
Boat and Stream
Discount
Percentage
Time and Work
Statistics & Data Interpretation
Pipe and Cistern
Sequence and Series
Miscellaneous
Mensuration
Time and Distance
Profit and Loss
Compound Interest
Geometry
Simple Interest
Algebra
Number System
Power, Indices and Surds
Approximation
Simple and Decimal Fraction
Area and Perimeter
Circles
Triangles
Trigonometric Ratios
Volume and Surface Area
Straight Lines
Factorisation
Set Theory
Height and Distance
Logarithms
Polynomials
Quadratic Equations
Quadrilateral and Parallelogram
Partnership

English Comprehension

Comprehension Test
Transformation of Sentences (Active/Passive)
Arrangement of Sentences
Improvement of Sentences
Idioms/ Phrases
One word substitution
Cloze Test
Miscellaneous
Direct/ Indirect Speech
Fill in the Blanks
Common Errors
Antonyms
Synonyms
English Comprehension
Selection of misspelt word/ correctly spelt word
General English

Q 1.

Correct2

Incorrect-0.5

The side of a rhombus whose diagonals are 16 cm and 12 cm respectively, is

14 cm

12 cm

10 cm

8 cm

Given : {tex} d_{1}=16\ cm,\ d_{2}=12\ cm {/tex}

Side of rhombus = {tex} \frac{1}{2}\sqrt{d^{2}_{1}+d^{2}_{2}} {/tex}

= {tex} \frac{1}{2}\sqrt{16^{2}+12^{2}} {/tex}

= {tex} \frac{1}{2}\sqrt{400} {/tex}

= {tex} \frac{1}{2} \times 20 = 10\ cm {/tex}

Q 2.

Correct2

Incorrect-0.5

If diagonals of a parallelogram are perpendicular, then it is a

rhombus

rectangle

quadrilateral

none of these

Q 3.

Correct2

Incorrect-0.5

If a triangle and a rectangle have equal areas and equal altitude, then base of the triangle is equal to

base of the rectangle

twice the base of the rectangle

thrice the base of the rectangle

four times the base of the rectangle

Let h be the common height of triangle and rectangle.

If a and b be respectively the bases of triangle and rectangle, then by hypothesis

{tex} \frac{1}{2}a \times h = b \times h{/tex}

=> {tex} \frac{1}{2}a = b {/tex}

=> {tex} a = 2b {/tex}

Q 4.

Correct2

Incorrect-0.5

The number of sides of a regular polygon each of whose angles measures {tex} 156 ^{\circ} {/tex} is

8

10

12

15

Sum of the interior angles of an n-sided regular polygon

= {tex} \left(2n-4\right) \times 90 ^{\circ} {/tex}

Therefore, {tex} \left(2n-4\right) \times 90 ^{\circ} = 156 \times n {/tex}

=> {tex} 180n - 360 = 156n {/tex}

=> {tex} 180n - 156n = 360 {/tex}

=> {tex} n = \frac{360}{24} = 15 {/tex}

Q 5.

Correct2

Incorrect-0.5

ABCD is a rhombus and O is the point of intersection of the diagonals AC and BD. The locus of a point which is equidistant from AB and AD is

AC

BD

CB

CD

Q 6.

Correct2

Incorrect-0.5

The area of a trapezium is {tex} 275 cm^{2} {/tex}. If its parallel sides are in the ratio 2 : 3 and perpendicular distance between them is 5 cm, then smaller of the parallel sides is

36 cm

40 cm

44 cm

48 cm

Given : Area of trapezium = {tex} 275\ cm^{2} {/tex}

Let parallel sides be 2x and 3x.

Area of trapezium

= {tex} \frac{1}{2} \times sum\ of\ parallel\ side \times h {/tex}

Therefore, {tex} \frac{1}{2} \left(2x+3x\right) \times 5 = 275 {/tex}

{tex} x = \frac{2 \times 275}{25}\ =\ 22\ cm {/tex}

Therefore, Smaller of the parallel sides = 2x = 44 cm

Q 7.

Correct2

Incorrect-0.5

If each angle of a polygon is {tex} 165 ^{\circ} {/tex}, then number sides of the polygon is

24

30

35

40

Exterior angle = {tex} 180 ^{\circ} - 165 ^{\circ} = 15 ^{\circ} {/tex}

Therefore, Number of sides = {tex} \frac{360 ^{\circ} }{Exterior\ angle} {/tex}

= {tex} \frac{360}{15} = 24 {/tex}

Q 8.

Correct2

Incorrect-0.5

ABCD is trapezium with AB parallel to DC. If AB=10 cm, AD = BC = 4 cm and {tex} \angle DAB = \angle CBA = 60 ^{\circ} {/tex}, then length of CD is equal to

3 cm

6 cm

7 cm

7.5 cm

{tex} \triangle ADP, {/tex}

{tex} \frac{AP}{AD} = \cos 60 ^{\circ} {/tex}

=> {tex} \frac{x}{4} = \frac{1}{2} {/tex}

=> x = 2

Therefore, CD = AB - 2x = 10 - 4 = 6 cm

Q 9.

Correct2

Incorrect-0.5

The points A (-2, -1), B (1, 0), C (4, 3) and D (1, 2) are corners of a

Square

Trapezium

Parallelogram

Rectangle

{tex} AB = \sqrt{3^{2}+1^{2}}=\sqrt{10} {/tex}

{tex} BC = \sqrt{3^{2}+3^{2}}=3\sqrt{2} {/tex}

{tex} CD = \sqrt{3^{2}+1^{2}}=\sqrt{10} {/tex}

{tex} DA = \sqrt{3^{2}+3^{2}}=3\sqrt{2} {/tex}

Therefore, Diagonal AC = {tex} \sqrt{6^{2}+4^{2}}=\sqrt{52} {/tex}

and diagonal BD = {tex} \sqrt{0+2^{2}}=2 {/tex}

Since opposite sides are equal and the diagonals are not equal, hence ABCD is a parallelogram.

Q 10.

Correct2

Incorrect-0.5

If two adjacent sides of a rectangle are 2 cm and 4 cm, then its perimeter is

6 cm

8 cm

12 cm

24 cm

Perimeter = {tex} 2 \left(l+b\right)=2 \left(2+4\right) {/tex}

= 12 cm

Q 11.

Correct2

Incorrect-0.5

Sum of the interior angles of a regular polygon having 'n' sides is equal to

{tex} \left(n + 2\right) \pi {/tex}

{tex} \left(n + 1\right) \pi {/tex}

{tex} \left(n - 1\right) \pi {/tex}

{tex} \left(n - 2\right) \pi {/tex}

Required sum of the interior angles of an n-side regular polygon

= {tex} n \pi - 2 \pi {/tex}

={tex} \left(n-2\right) \pi {/tex}

Q 12.

Correct2

Incorrect-0.5

In a regular polygon, if an interior angle is equal to four times the exterior angle, then number of sides in the polygon is

7

8

10

11

Interior angle (I) + Exterior angle (E) = {tex} 180 ^{\circ} {/tex}

Therefore, I + E = {tex} 180 ^{\circ} {/tex}

Now I = AE (given)

Therefore, AE + E = {tex} 180 ^{\circ} {/tex}

E = {tex} 36 ^{\circ} {/tex}

Therefore, number of sides = {tex} \frac{360 ^{\circ} }{E} = \frac{360}{36} = 10 {/tex}

Q 13.

Correct2

Incorrect-0.5

If one side of a regular polygon with seven sides is produced, then exterior angle (in degrees) has the magnitude

60

{tex} 51\frac{3}{7} {/tex}

45

40

Interior angle = {tex} \frac{ \left(n-2\right) \pi }{n}= \left(\frac{7-2}{7}\right) \pi = \frac{5 \pi }{7} {/tex}

Therefore, Exterior angle = {tex} \pi -\frac{5 \pi }{7} = \frac{2 \pi }{7} = \left(51\frac{3}{7}\right) ^{\circ} {/tex}

Q 14.

Correct2

Incorrect-0.5

The angle BDE in a regular hexagon ABCDEFFA is equal to

{tex} 120 ^{\circ} {/tex}

{tex} 105 ^{\circ} {/tex}

{tex} 90 ^{\circ} {/tex}

{tex} 60 ^{\circ} {/tex}

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