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# NDA Mock Test - 1

## 150 Questions MCQ Test NDA (National Defence Academy) Mock Test Series | NDA Mock Test - 1

Description
This mock test of NDA Mock Test - 1 for Defence helps you for every Defence entrance exam. This contains 150 Multiple Choice Questions for Defence NDA Mock Test - 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this NDA Mock Test - 1 quiz give you a good mix of easy questions and tough questions. Defence students definitely take this NDA Mock Test - 1 exercise for a better result in the exam. You can find other NDA Mock Test - 1 extra questions, long questions & short questions for Defence on EduRev as well by searching above.
QUESTION: 1

### The marked price of a watch is Rs. 800. A shopkeeper gives two successive discounts and sells the watch at Rs. 612. If the first discount is 10%, the second discount is

Solution: QUESTION: 2

### Suppose ω and ω2 are the complex cube root of unity which are given as Q.  (1 – ω) (1 – ω2) (1 + ω4) (1 + ω8) is equal to

Solution:

Explanation : (1-w)(1-w2)(1+w4)(1+w8)......(1)

w4 = w3 * w

w4 = 1*w = w.......(2)

w8 = w3 * w3 * w2

= w2.........(3)

Put the values of (2) and (3) in eq (1)

(1-w)(1-w2)(1+w)(1+w2)

(1-w)(1+w)(1-w2)(1+w2)

=> (1-w2) (1-w)

From eq(2) w4 = w

1 - w - w2 + w3

As we know that 1 + w + w^2 = 0

w2 + w = -1……..(4)

Putting in eq(4)

= 1 + 1 + 1

= 3

QUESTION: 3

### Suppose ω and ω2 are the complex cube root of unity which are given as Q.  The value of expression Solution:
QUESTION: 4

What is the value of where n Solution:
QUESTION: 5

If 2x = 3 + 5i, then what is the 2x3 + 2x2 – 7x + 72?

Solution:
QUESTION: 6

285 is summation of 3 numbers. Ratio between 2nd and 3rd numbers is 6:5. Ratio between 1st and 2nd numbers is 3:7. The 3rdnumber is?

Solution:
QUESTION: 7

If α and β are the roots of the equation x2 + x + 1 = 0, then which of the following are the roots of the equation x2 – x + 1 = 0?

Solution:
QUESTION: 8

If the equation x2 – bx + 1 = 0 does not possess real roots, then which one of the following is correct?

Solution: QUESTION: 9

Consider the equation (x – p) (x – 6) + 1 = 0 having integral coefficients. If the equation has integral roots, then what values can p have?

Solution:
QUESTION: 10

The roots of the equation (x – p) (x – q) = r2, where p, q and r are real, are

Solution:
QUESTION: 11 is equal to

Solution:
QUESTION: 12

If A and B are two matrices such that AB = B and BA = A, then A2 + B2 is equal to

Solution:
QUESTION: 13 then F(α) . F(β) is equal to

Solution:
QUESTION: 14

If A and B are two matrices of same order, then

Q.

(AB)n = AnBn is / (AB)n = AnBn

Solution:
QUESTION: 15

If A and B are two matrices of same order, then

Q.

If A and B are symmetric matrices, then (ABA)T is

Solution:
QUESTION: 16

If each element in a row of a determinant is multiplied by the same factor r, then the value of the determinant

Solution:
QUESTION: 17

What is the value of the determinant Solution:
QUESTION: 18

What is the value of where ω is the cube root of unity?

Solution:
QUESTION: 19 Solution:
QUESTION: 20 Solution:
QUESTION: 21

What is the value of sin A cos A tan A + cos A sin A cot A?

Solution:
QUESTION: 22

If cos A + cos B = m and sin A + sin B = n, where m, n ≠ 0, then what is sin (A + B) equal to?

Solution:
QUESTION: 23

If cos x ≠ – 1, then what is equal to?

Solution:
QUESTION: 24

If angles A, B and C are in AP, then what is sin A + 2 sin B + sin C equal to?

Solution:
QUESTION: 25

What is the value of + cos Solution:
QUESTION: 26

If p = sin (989o) cos (991o), then which one of the following is correct?

Solution:
QUESTION: 27

Directions : Read the following information carefully and answer the questions given below. Q.

(α+ β) is equal to

Solution:
QUESTION: 28 Q. Solution:
QUESTION: 29 Q. is equal to

Solution:
QUESTION: 30

If  Q.

cos (α + β + λ) is equal to

Solution:
QUESTION: 31

If  Q.

What is the value of sin Solution:
QUESTION: 32

From the top of a lighthouse 70 m high with its base at sea level, the angle of depression of a boat is 15o.  The distance of the boat from the foot of the lighthouse is

Solution:
QUESTION: 33

A man standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is 60o. The angle of elevation is 30o from a point at a distance y m from the bank.  What is the height of the tree?

Solution:
QUESTION: 34

If A, B, C are in AP and hen what is the value of sin C?

Solution:
QUESTION: 35

ABC is a triangle in which BC = 10 cm, CA = 6 cm and AB = 8 cm.  Which one of the following is correct?

Solution:
QUESTION: 36

In a ABC, BC = AC = 5 and AB = 7. What is the measure of the ∠A?

Solution:
QUESTION: 37

In a ΔABC, a + b = 3 cm and a – b = 3 cm. If ∠A is 30o, then what is the ∠B?

Solution:
QUESTION: 38

P : x2 – y2 + 2y – 1 = 0
L : x + y = 3

Q.

Equation of the angle bisectors of the pairs of lines P is

Solution:
QUESTION: 39

P : x2 – y2 + 2y – 1 = 0
L : x + y = 3

Q.

Area of the triangle formed by the angle bisectors of the pair of lines P and the line L (in sq units) is

Solution:
QUESTION: 40

P : x2 – y2 + 2y – 1 = 0
L : x + y = 3

Q.

If L' represents the line perpendicular to L passing through the point of intersection of the pair of lines P, then equation of the pair of lines representing L and L' is

Solution:
QUESTION: 41

What is the slope of the line perpendicular to the line x/4 +y/3 = 1?

Solution:
QUESTION: 42

If the lines 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, then what is the value of b?

Solution:
QUESTION: 43

A circle always passes through the fixed points (a, 0) and (–a, 0).

Q.

If given points are the ends of diameter, then the equation of circle is

Solution:
QUESTION: 44

A circle always passes through the fixed points (a, 0) and (–a, 0).

Q.

How many tangents can be drawn from the origin to the circle that we get in above question?

Solution:
QUESTION: 45

A circle always passes through the fixed points (a, 0) and (–a, 0).

Q.

The radius of the circle x2 + y2 + x + c = 0 passing through the origin is

Solution:
QUESTION: 46

A circle always passes through the fixed points (a, 0) and (–a, 0).

Q.

What is the equation to circle which touches both the axes and has centre on the line x + y = 4?

Solution:
QUESTION: 47

Consider the following statements in respect of circles x2 + y2 – 2x – 2y = 0 and x2 + y2 = 1

I. The radius of the first circle is twice that of the second circle.
II. Both the circles pass through the origin.

Solution:
QUESTION: 48

If f (x) = 2x + 7 and g (x) = x2 + 7, x R, then which value of x will satisfy fog (x) = 25?

Solution:
QUESTION: 49

If log10 (x + 1) + log10 5 = 3, then what is the value of x?

Solution:
QUESTION: 50

What is the value of x satisfying the equation  Solution:
QUESTION: 51

Assertion (A) A gun recoils when a bullet is fired from it.

Reason (R) Action and reaction are equal and opposite.

Solution:
QUESTION: 52

A book is kept on the surface of a table. If the gravitational pull of the earth on the book is the force of action, then the force of reaction is exerted by

Solution:
QUESTION: 53

A jet engine works on the principle of conservation of

Solution:
QUESTION: 54

Assertion (A) A beaker filled with water at 4oC overflows if the temperature is decreased or increased.

Reason (R) Density of water is maximum at 4oC.

Solution:
QUESTION: 55

Mosquitoes can lay eggs on the surface of water. But when oil is sprinkled on the surface of water, mosquitoes cannot lay eggs because

Solution:
QUESTION: 56

The maximum efficiency of a diesel engine is about

Solution:
QUESTION: 57

Which one among the following statements about thermal conductivity is correct?

Solution:

Thermal conductivity means that a substance has a capacity to conduct heat and electricity or it just let heat and electricity to  pass through its own body .

water > steel > wood

• It is so because water is apart from liquid metals, water has the highest thermal conductivity of any liquid.

• Steels thermal conductivity is around 45 watts per kelvin per meter. So this material is a good thermal conductor but comes after water.

• Thermal conductivity declines  as the density of the wood decreases         or it do not conduct heat and electricity. So it comes at last as thermal conductor.

QUESTION: 58

An air bubble inside water behaves as a

Solution:
QUESTION: 59

A refracting telescope consists of

Solution:
QUESTION: 60

When a soap bubble is charged

Solution:
QUESTION: 61

Which one of the following is the correct sequence in terms of increasing mass?

Solution:
QUESTION: 62

Oxysomes are found in

Solution:
QUESTION: 63

Which one among the following all orgenelles is semipermeable?

Solution:
QUESTION: 64

Bleeding in gums is caused due to the deficiency of vitamin

Solution:
QUESTION: 65

The main source of carbohydrate is

Solution:
QUESTION: 66

The type of amino acids that the human body can synthesise are known as

Solution:
QUESTION: 67

Which of the following is a genetic blood disease?

Solution:
QUESTION: 68

Which of the following is concerned with diabetes insipidus?

Solution:
QUESTION: 69

Diabetes insipidus is under control of

Solution:
QUESTION: 70

The contraction of gall bladder is due to

Solution:
QUESTION: 71

The total number of bones in human skull are

Solution:
QUESTION: 72

Ascaris is transmitted through

Solution:
QUESTION: 73

Polio disease is caused by

Solution:
QUESTION: 74

Which of the following Harappan sites had a dock?

Solution:
QUESTION: 75

Who among the following is considered to be the father of Ayurveda?

Solution:
QUESTION: 76

Solution:
QUESTION: 77

Which one of the following was the official language of Gupta period?

Solution:
QUESTION: 78

Where did Buddha attain Parinirvana?

Solution:
QUESTION: 79

Who laid the foundation of the first independent Turkish kingdom in India?

Solution:
QUESTION: 80

The Slave dynasty Sultans were

Solution:
QUESTION: 81

Which of the following is the oldest monument?

Solution:
QUESTION: 82

Babur laid the foundation of Mughal empire in 1526 by defeating

Solution:
QUESTION: 83

Which of the following opposed Gandhiji's Satyagraha against the Rowlatt Act?

Solution:
QUESTION: 84

Who was the Governor-General when the 1857 Revolt broke out?

Solution:
QUESTION: 85

Which of the following was founded by Gopal Krishna Gokhale?

Solution:
QUESTION: 86

Which one among the following wars ended by the Treaty of Salbai?

Solution:
QUESTION: 87

Where is the headquarters of SAARC?

Solution:
QUESTION: 88

Which is nearest planet to Earth?

Solution:
QUESTION: 89

Which appears as 'Greenish Star'?

Solution:
QUESTION: 90

Moon light takes ……. to reach Earth.

Solution:
QUESTION: 91

USA is divided into …… time zone.

Solution:
QUESTION: 92

Which of the following regions is characterised by high temperature, heavy rainfall and dense vegetation?

Solution:
QUESTION: 93

Which is the exact example of residual mountains?

Solution:
QUESTION: 94

Amongst the following Indian States, which one has the minimum total forest cover?

Solution:
QUESTION: 95

According to Census 2011, which one of the following Indian States has the maximum population in India after Uttar Pradesh?

Solution:
QUESTION: 96

In India, How many states share the coastline?

Solution:
QUESTION: 97

The Dul Hasti Power Station is based on which one of the following rivers?

Solution:
QUESTION: 98

In some parts of India, consumption of underground water causes mottled teeth and bone damage.  Which one of the following is responsible for this malady?

Solution:
QUESTION: 99

Consider the following metals:

1. Uranium
3. Plutonium

Q.

Which of these are used in making nuclear weapons?

Solution:
QUESTION: 100

Match List-I (Disease) with List-II (Organism) and select the correct answer using the codes given below the lists:  Solution:

Explanation : a) Vibrio cholerae interacts with many organisms in the environment, including heterotrophic protists (protozoa). Several species of protozoa have been reported to release undigested bacteria in expelled food vacuoles (EFVs) when feeding on some pathogens.

b) Mumps is an acute, self-limited, systemic viral illness characterized by the swelling of one or more of the salivary glands, typically the parotid glands. The illness is caused by the RNA virus, Rubulavirus. Rubulavirus is within the genus Paramyxovirus and is a member of the family Paramyxoviridae.

c) Ringworm is a contagious fungal infection caused by common mold-like parasites that live on the cells in the outer layer of your skin. It can be spread in the following ways: Human to human. Ringworm often spreads by direct, skin-to-skin contact with an infected person.

d) Human African trypanosomiasis, also known as sleeping sickness, is a vector-borne parasitic disease. It is caused by infection with protozoan parasites belonging to the genus Trypanosoma.

QUESTION: 101

Directions : The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

Arabian Nights are (a) / a collection of (b) / very interesting episodes of adventure. (c) / No error (d)

Solution:
QUESTION: 102

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

I hope to visit (a) / my uncle only next year (b) / during summer vacations. (c) / No error (d)

Solution:
QUESTION: 103

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

Ration has run out (a) / and the District Magistrate (b) / has been informed (c) / No error (d)

Solution:

It should be "ran" instead of "run" because there in the sentence "has" which is in past tense and so the "ran"

QUESTION: 104

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

The number of vehicles (a) / plying on this road (b) / is more than on the main road. (c) / No error (d)

Solution:
QUESTION: 105

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

May I (a) / know who you want (b) / to see please. (c) / No error (d)

Solution:
QUESTION: 106

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

Our is the only country (a) / in the world that can boast of (b) / unity in diversity. (c) / No error (d)

Solution:
QUESTION: 107

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

The doctor referred the patient (a) / for the OPD (b) / without examining him. (c) / No error (d)

Solution:
QUESTION: 108

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

I do not understand (a) / why (b) / he is so angry at me. (c) / No error (d)

Solution:
QUESTION: 109

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

Because of his innocence (a) / he can not distinguish (b) / a cheat for an honest person. (c) / No error (d)

Solution:
QUESTION: 110

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

Neither she is intelligent (a) / nor hard working (b) / and still she expects to secure first class. (c) / No error (d)

Solution:
QUESTION: 111

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

I was surprised (a) / to see her speak (b) / with somewhat anger. (c) / No error (d)

Solution:

(c) Replace ‘somewhat’ by ‘some’.

QUESTION: 112

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

Privatisation offers the most ideal situation (a) / for consumers because private sector (b) / is very conscious of quality. (c) / No error (d)

Solution:
QUESTION: 113

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

It were the students (a) / who wanted the teacher (b) / to declare holiday. (c) / No error (d)

Solution:
QUESTION: 114

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

Everyone of the new Nursing Homes (a) / coming up in the Urban areas (b) / need a lot of improvement. (c) / No error (d)

Solution:
QUESTION: 115

The sentences given below, have three parts, indicated by (a), (b) and (c). Read each sentence to find out whether there is an error. If a sentence has no error, choose part (d), which stands for 'No error'. (Ignore the errors of punctuation, if any).

Q.

He will be likely (a) / to take part in the ceremony (b) / provided he is granted leave. (c) / No error (d)

Solution:
QUESTION: 116

Directions : Each of the following items consists of a sentence followed by four words or group of words. Select the antonym of the word occurring in the sentence in capital letters as per the context.

Q.

His CANDID remarks impressed the authorities.

Solution:
QUESTION: 117

Select the antonym of the word occurring in the sentence in capital letters as per the context.

Q.

The guilty appealed to the jury to CONDONE his punishment.

Solution:
QUESTION: 118

Select the antonym of the word occurring in the sentence in capital letters as per the context.

Q.

His family SEVERED ties with him for marrying intercaste.

Solution:
QUESTION: 119

Select the antonym of the word occurring in the sentence in capital letters as per the context.

Q.

It is easy to understand his FUZZY thoughts.

Solution:
QUESTION: 120

Select the antonym of the word occurring in the sentence in capital letters as per the context.

Q.

Solution:

slimy means covered with slime means a thick unpleasant liquid. SO its antonym will be clean,

QUESTION: 121

Select the antonym of the word occurring in the sentence in capital letters as per the context.

Q.

There was a fire this morning. They were lucky to ESCAPE it.

Solution:
QUESTION: 122

Select the antonym of the word occurring in the sentence in capital letters as per the context.

Q.

His ELOQUENT speech helped him bag the award.

Solution:
QUESTION: 123

Directions : Each of the following items consists of a sentence followed by four words or group of words.  Select the synonym of the word occurring in the sentence in capital letters as per the context.

Q.

Trees that BLOCK the view of oncoming traffic should be cut down.

Solution:
QUESTION: 124

Select the synonym of the word occurring in the sentence in capital letters as per the context.

Q.

We saw a SCINTILLATING fireworks display.

Solution:
QUESTION: 125

Select the synonym of the word occurring in the sentence in capital letters as per the context.

Q.

Europe, America and Japan have taken to the field of science with SINGULAR vigour and activity.

Solution:
QUESTION: 126

Select the synonym of the word occurring in the sentence in capital letters as per the context.

Q.

Ant is believed to be the most INDUSTRIOUS creature.

Solution:
QUESTION: 127

Select the synonym of the word occurring in the sentence in capital letters as per the context.

Q.

As I look around I see the crumbling ruins of a proud civilisation strewn like a vast heap of FUTILITY.

Solution:
QUESTION: 128

Select the synonym of the word occurring in the sentence in capital letters as per the context.

Q.

By 1918, Gandhiji had established himself as a leader with a UNIQUE way of protesting exploitation and injustice.

Solution:
QUESTION: 129

Select the synonym of the word occurring in the sentence in capital letters as per the context.

Q.

Solution:
QUESTION: 130

Select the synonym of the word occurring in the sentence in capital letters as per the context.

Q.

It is difficult to DISCERN the sample on the slide without adjusting the microscope.

Solution:
QUESTION: 131

Directions : Pick out the most effective word from the given words to fill in the blank to make the sentence meaningfully complete.

Q.

The lions in the Gir forest are protected as they come under ….. species.

Solution:
QUESTION: 132

My father was too …… to push open the heavy door.

Solution:
QUESTION: 133

We are not sure if their business is strictly ……..

Solution:
QUESTION: 134

Justice should be ……. even-handedly.

Solution:
QUESTION: 135

A bullet …… his cheek.

Solution:
QUESTION: 136

The teacher's counsel had a ……. effect on the mischievous student's conduct.

Solution:
QUESTION: 137

I must admit my parents stood by me in my times of ……. .

Solution:
QUESTION: 138

Solution:
QUESTION: 139

The Director pointed out in favour of the manager that the profitability of the plant had …… since he taken over.

Solution:
QUESTION: 140

We cannot go on strike every year. Now that we have gone on strike we must …….. this issue.

Solution:
QUESTION: 141

I was totally ……. by his line of thinking and could not put forth any argument.

Solution:
QUESTION: 142

Man is ………., however, he is more in need of mental companionship than of physical companionship.

Solution:
QUESTION: 143

He is the best man for this job. He has mental …….. to carry it out.

Solution:
QUESTION: 144

His party is solely to be blamed for the political …… in the country.

Solution:
QUESTION: 145

The Earth is at present in great danger of becoming uninhabitable because of ……. environmental pollution, which is going on at an incredible rapid pace.

Solution:
QUESTION: 146

Directions : In the questions given below, a part of the sentence is underlined. Below are given alternatives to the underlined part which may improve the sentence.  Choose the correct alternative.  In case, no improvement is needed, option (d) is the answer.

Q.

Not a word they spoke to the unfortunate wife about it.

Solution:
QUESTION: 147

If he had time, he will call you.

Solution:
QUESTION: 148

Solution:
QUESTION: 149

With a thundering roar the huge rocket soared up from the launching pad.

Solution:
QUESTION: 150

My opinion for the film is that it will bag the national ward.

Solution:

My opinion about the film is that it will bag the national award.