NTS NAT IE Pre-Engineering Group

If a source of sound moves towards a stationary observer, the pitch (frequency):

1 Mark(s)

Your Answer:

Increases Increases
Decreases Decreases
Remains same Remains same
Becomes zero Becomes zero

Inverse of a diagonal matrix is:

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Your Answer:

Diagonal with reciprocals Diagonal with reciprocals
Identity Identity
Null Null
Same matrix Same matrix

A potentiometer is used to measure:

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Your Answer:

Current Current
EMF EMF
Resistance Resistance
Power Power

$\frac{d}{dx}(uv)$ (Product Rule) is:

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Your Answer:

$u \frac{dv}{dx} + v \frac{du}{dx}$ $u \frac{dv}{dx} + v \frac{du}{dx}$
$u \frac{du}{dx} + v \frac{dv}{dx}$ $u \frac{du}{dx} + v \frac{dv}{dx}$
$u' v'$ $u' v'$
$\frac{v u' - u v'}{v^2}$ $\frac{v u' - u v'}{v^2}$

The magnitude of motional EMF depends on:

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Your Answer:

Mass Mass
Speed, Length, Field Speed, Length, Field
Temperature Temperature
Resistance Resistance

Benzene is less reactive than alkenes because of:

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Your Answer:

Single bonds Single bonds
Resonance stability Resonance stability
Ring structure Ring structure
High carbon content High carbon content

If two springs of constant $k$ are connected in parallel, the effective spring constant is:

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Your Answer:

$2k$ $2k$
$k/2$ $k/2$
$k$ $k$
$k^2$ $k^2$

If $P(A) = 0.4$ and $P(B) = 0.5$ and events are independent, $P(A \cap B)$ is:

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Your Answer:

0.9 0.9
0.1 0.1
0.2 0.2
0.5 0.5

Phenol is ____ acidic than water.

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Your Answer:

More More
Less Less
Equally Equally
Not Not

For the reaction $2A + B \to$ Products, if rate doubles when [B] doubles, the order wrt B is:

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Your Answer:

1 1
2 2
0 0
-1 -1

Integration by parts formula: $\int u dv =$

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Your Answer:

$uv - \int v du$ $uv - \int v du$
$uv + \int v du$ $uv + \int v du$
$u \int v du$ $u \int v du$
$vu - \int u dv$ $vu - \int u dv$

$\int \sin x dx$ limits $0$ to $\pi$:

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Your Answer:

0 0
2 2
1 1
-2 -2

In a zero-order reaction, the rate is independent of:

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Your Answer:

Temperature Temperature
Catalyst Catalyst
Concentration of reactants Concentration of reactants
Surface area Surface area

Isocyanide test is given by:

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Your Answer:

Primary Amines Primary Amines
Secondary Amines Secondary Amines
Tertiary Amines Tertiary Amines
Amides Amides

The sum of an infinite geometric series exists only if the common ratio $r$ satisfies:

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Your Answer:

$|r| > 1$ $|r| > 1$
$|r| < 1$ $|r| < 1$
$r = 1$ $r = 1$
$r = 0$ $r = 0$

The number of atoms in 0.1 mole of a gas at STP is equal to:

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Your Answer:

$6.02 \times 10^{23}$ $6.02 \times 10^{23}$
$6.02 \times 10^{22}$ $6.02 \times 10^{22}$
$3.01 \times 10^{23}$ $3.01 \times 10^{23}$
$6.02 \times 10^{21}$ $6.02 \times 10^{21}$

The critical angle for glass-air boundary is approximately:

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Your Answer:

$45^\circ$ $45^\circ$
$49^\circ$ $49^\circ$
$42^\circ$ $42^\circ$
$90^\circ$ $90^\circ$

Which has the largest bond angle?

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Your Answer:

$CH_4$ $CH_4$
$H_2O$ $H_2O$
$NH_3$ $NH_3$
$BF_3$ $BF_3$

Potentiometer is superior to a voltmeter because:

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Your Answer:

It draws no current It draws no current
It is cheaper It is cheaper
It is smaller It is smaller
It measures current It measures current

Cadmium rods are used in nuclear reactors to:

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Your Answer:

Slow down neutrons Slow down neutrons
Absorb neutrons Absorb neutrons
Reflect neutrons Reflect neutrons
Cool the reactor Cool the reactor

Order of reactivity of alkyl halides is:

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Your Answer:

$RI > RBr$ $RI > RBr$
$RF > RCl$ $RF > RCl$
$RCl > RBr$ $RCl > RBr$
$RF > RI$ $RF > RI$

The oxidation state of Ni in $[Ni(CO)_4]$ is:

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Your Answer:

0 0
2 2
4 4
1 1

$1 - \cos(2x)$ is equal to:

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Your Answer:

$2\cos^2 x$ $2\cos^2 x$
$\sin^2 x$ $\sin^2 x$
$2\sin^2 x$ $2\sin^2 x$
$\cos^2 x$ $\cos^2 x$

Silence zone near an explosion is due to:

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Your Answer:

Reflection Reflection
Diffraction Diffraction
Interference Interference
Refraction Refraction

If $y = \ln(x^2)$, $dy/dx$ is:

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Your Answer:

$1/x^2$ $1/x^2$
$2/x$ $2/x$
$2x$ $2x$
$1/x$ $1/x$

Three coplanar forces acting on a body keep it in equilibrium if they represent the sides of a:

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Your Answer:

Square Square
Triangle Triangle
Circle Circle
Parabola Parabola

The length of the major axis of ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ ($a>b$) is:

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Your Answer:

$a$ $a$
$2a$ $2a$
$2b$ $2b$
$a+b$ $a+b$

The range of a projectile is maximum when angle is $45^\circ$. It is equal to:

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Your Answer:

$v^2/2g$ $v^2/2g$
$v^2/g$ $v^2/g$
$2v/g$ $2v/g$
$v/g$ $v/g$

In an Arithmetic Progression (AP), the nth term $a_n$ is:

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Your Answer:

$a_1 r^{n-1}$ $a_1 r^{n-1}$
$a_1 + nd$ $a_1 + nd$
$a_1 + (n-1)d$ $a_1 + (n-1)d$
$a_1 + (n+1)d$ $a_1 + (n+1)d$

The catalyst used in Ostwald's Process for $HNO_3$ is:

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Your Answer:

Iron Iron
Platinum Platinum
Nickel Nickel
Vanadium Vanadium

Scenario: Six lectures (Same conditions). Question: Which lecture is on Monday?

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Your Answer:

Math Math
Phy Phy
Eng Eng
Chem Chem

Synonym of CALAMITY:

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Your Answer:

Silence Silence
Peace Peace
Disaster Disaster
Party Party

Statement: If it rains, the ground is wet. The ground is wet. Conclusion: It rained.

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Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Invalid Invalid

If today is Monday, what day is 8 days later?

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Your Answer:

Monday Monday
Tuesday Tuesday
Wednesday Wednesday
Sunday Sunday

Antonym of LIBERTY:

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Your Answer:

Freedom Freedom
Independence Independence
Rights Rights
Slavery Slavery

$\sqrt{144} = ?$

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Your Answer:

12 12
14 14
11 11
13 13

Synonym of VAGRANT:

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Your Answer:

Stable Stable
Wanderer Wanderer
Rich Rich
Worker Worker

Statement: "Honesty is the best policy." Conclusion: Dishonest people never succeed.

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Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Valid Valid

Comprehension: "To sit on the fence." Meaning:

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Your Answer:

Resting Resting
Watching Watching
Undecided Undecided
Designing a fence Designing a fence

If $x^2 + 2 = 18$, $x=?$

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Your Answer:

4 4
$\pm 4$ $\pm 4$
16 16
8 8

Probability of getting a sum of 7 when rolling two dice:

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Your Answer:

13150 13150
45809 45809
45992 45992
13271 13271

Statement: M > N, N < O. Conclusion: M > O.

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Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Valid Valid

Hard work is the key ______ success.

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Your Answer:

of of
to to
for for
with with

$10^3 \times 10^2 = ?$

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Your Answer:

$10^6$ $10^6$
$10^1$ $10^1$
$10^5$ $10^5$
$100^5$ $100^5$

Antonym of EPHEMERAL:

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Your Answer:

Transient Transient
Eternal Eternal
Temporary Temporary
Brief Brief

Scenario: Six books (A, B, C, D, E, F) are placed on a shelf. A is to the immediate left of B. C is to the immediate right of F. D is between B and F. E is at one of the ends. Question: Which book is at the extreme right end?

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Your Answer:

E E
F F
C C
B B

Statement: If X, then Y. Not Y. Conclusion: Not X.

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Your Answer:

Valid Valid
Invalid Invalid
Uncertain Uncertain
Option 4 Option 4

In a group of 100, 40 like tea, 30 like coffee, 10 like both. How many like neither?

1 Mark(s)

Your Answer:

30 30
40 40
50 50
20 20

Scenario: Six books (A, B, C, D, E, F) are placed on a shelf. A is to the immediate left of B. C is to the immediate right of F. D is between B and F. E is at one of the ends. Question: Which of the following pairs are adjacent?

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Your Answer:

B and D B and D
A and F A and F
E and B E and B
D and C D and C

Synonym of MAMMOTH:

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Your Answer:

Huge Huge
Tiny Tiny
Animal Animal
Extinct Extinct

Scenario: Seven friends A, B, C, D, E, F, G are sitting in a circle facing the center. A is second to the left of D. F is second to the right of D. B is not a neighbor of D. C is third to the right of B. G is not a neighbor of A. Question: Who is to the immediate left of D?

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Your Answer:

A A
B B
E E
G G

Product of -2, -3, -4 is:

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Your Answer:

24 24
-24 -24
12 12
-12 -12

Comprehension: "The CEO's speech was brevity itself." What does this mean?

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Your Answer:

It was long It was long
It was short It was short
It was boring It was boring
It was loud It was loud

Difference between smallest 3-digit number and largest 2-digit number:

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Your Answer:

10 10
100 100
1 1
9 9

Pythagoras theorem applies to:

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Your Answer:

Acute triangle Acute triangle
Right-angled triangle Right-angled triangle
Obtuse triangle Obtuse triangle
All triangles All triangles

Antonym of JUVENILE:

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Your Answer:

Childish Childish
Mature Mature
Young Young
Adolescent Adolescent

Scenario: In a family, A is the father of B. B is the brother of C. C is the daughter of D. Question: How is B related to D?

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Your Answer:

Son Son
Brother Brother
Father Father
Uncle Uncle

$25 \div 0.5 =$

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Your Answer:

50 50
5 5
12.5 12.5
0.5 0.5

Scenario: Six lectures (Math, Phy, Chem, Bio, Eng, Urdu) are scheduled Mon-Sat. Math is not on Mon or Sat. Chem is immediately after Eng. Urdu is on Fri. Phy is 2 days before Bio. Question: Which lecture is on Saturday?

1 Mark(s)

Your Answer:

Math Math
Phy Phy
Eng Eng
Bio Bio

Statement: Smoking causes cancer. Ali smokes. Conclusion: Ali will get cancer.

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Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Valid Valid

Antonym of MALIGN:

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Your Answer:

Praise Praise
Slander Slander
Harm Harm
Injure Injure

Scenario: Six lectures (Same conditions). Question: How many lectures are between Chem and Urdu?

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Your Answer:

1 1
2 2
3 3
0 0

If $x/3 = 4$, $x=?$

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Your Answer:

7 7
12 12
1 1
0.75 0.75

Scenario: Seven friends A, B, C, D, E, F, G are sitting in a circle facing the center. (Same conditions). Question: Who is third to the left of F?

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Your Answer:

A A
B B
G G
C C

OPTIMIST : CHEERFUL ::

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Your Answer:

Pessimist : Gloomy Pessimist : Gloomy
Doctor : Patient Doctor : Patient
Teacher : Student Teacher : Student
Driver : Car Driver : Car

BIRD : FLOCK ::

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Your Answer:

Wolf : Pack Wolf : Pack
Lion : Pride Lion : Pride
Sheep : Herd Sheep : Herd
Fish : School Fish : School

Average of 10, 20, 30, 40?

1 Mark(s)

Your Answer:

20 20
30 30
25 25
35 35

Reciprocal of 2/5 is:

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Your Answer:

45693 45693
=-2/5 =-2/5
1 1
0.4 0.4

Scenario: Five students P, Q, R, S, T sit in a row. S is to the immediate right of P. T is to the immediate left of Q. R is between P and T. Question: Who is second from the right?

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Your Answer:

S S
P P
T T
Q Q

Perimeter of rectangle with length 4 and width 3:

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Your Answer:

12 12
14 14
7 7
24 24

Sum of angles in a Hexagon:

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Your Answer:

720 720
540 540
360 360
180 180

ARCHITECT : BUILDING ::

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Your Answer:

Painter : Paint Painter : Paint
Sculptor : Statue Sculptor : Statue
Doctor : Book Doctor : Book
Teacher : School Teacher : School

Do not ______ secrets to strangers.

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Your Answer:

Tell Tell
Say Say
Speak Speak
Divulge Divulge

Scenario: 7 boxes are stacked. Red is above Blue. Green is below Yellow. Blue is immediately above Green. White is at the bottom. Black is top. Question: Which box is immediately above Red?

1 Mark(s)

Your Answer:

Black Black
Blue Blue
Yellow Yellow
White White

Sum of angles in a quadrilateral:

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Your Answer:

180 180
270 270
360 360
90 90

The jury ______ the prisoner of all charges.

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Your Answer:

Convicted Convicted
Accused Accused
Acquitted Acquitted
Sentenced Sentenced

A runner covers 400m in 50s. Speed?

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Your Answer:

6 m/s 6 m/s
8 m/s 8 m/s
10 m/s 10 m/s
12 m/s 12 m/s

Statement: All doctors are educated. Ali is educated. Conclusion: Ali is a doctor.

1 Mark(s)

Your Answer:

Valid Valid
Invalid Invalid
1 1
Certain Certain

Scenario: A chef must schedule 5 dishes (P, B, Pa, S, T) Mon-Fri. (Same conditions). Question: Which dish is on Wednesday?

1 Mark(s)

Your Answer:

Pizza Pizza
Steak Steak
Taco Taco
Pasta Pasta

A discount of 20% on 50 is:

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Your Answer:

5 5
10 10
15 15
20 20

The teacher ______ the students for their poor performance.

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Your Answer:

Praised Praised
Lauded Lauded
Reprimanded Reprimanded
Assisted Assisted

Course of Action: There is a severe drought. Action 1: Government should provide water aid. Action 2: People should stop drinking water.

1 Mark(s)

Your Answer:

Only 1 follows Only 1 follows
Only 2 follows Only 2 follows
Both follow Both follow
Neither follows Neither follows

How many minutes in 1.5 hours?

1 Mark(s)

Your Answer:

60 60
100 100
75 75
90 90

Square root of 0.09 is:

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Your Answer:

0.3 0.3
0.03 0.03
0.003 0.003
0.9 0.9

Statement: A = B, B > C. Conclusion: A > C.

1 Mark(s)

Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Invalid Invalid

Scenario: Six lectures (Same conditions). Question: What is the day for Math?

1 Mark(s)

Your Answer:

Mon Mon
Tue Tue
Wed Wed
Thu Thu

Idiom: "To call it a day" means:

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Your Answer:

To start work To start work
To name a day To name a day
To stop working To stop working
To work all day To work all day

The ship ______ in the ocean.

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Your Answer:

Sank Sank
Drowned Drowned
Floated Floated
Swam Swam

Comprehension: "Once in a blue moon." Meaning:

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Your Answer:

Every month Every month
Never Never
Often Often
Rarely Rarely

Comprehension: "He is the black sheep of the family." Meaning:

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Your Answer:

The darkest one The darkest one
The odd/disgraceful one The odd/disgraceful one
The richest one The richest one
The leader The leader

Evaluating Your Answers

NTS NAT IE Pre-Engineering Group : Question 1 of 90