NTS NAT IE Pre-Engineering Group

Inverse of a diagonal matrix is:

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

1 1
2 2
0 0
-1 -1

The critical angle for glass-air boundary is approximately:

1 Mark(s)

Your Answer:

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

Which has the largest bond angle?

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

0.9 0.9
0.1 0.1
0.2 0.2
0.5 0.5

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

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

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

Isocyanide test is given by:

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

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

Potentiometer is superior to a voltmeter because:

1 Mark(s)

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

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

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

1 Mark(s)

Your Answer:

0 0
2 2
4 4
1 1

A potentiometer is used to measure:

1 Mark(s)

Your Answer:

Current Current
EMF EMF
Resistance Resistance
Power Power

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

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

Iron Iron
Platinum Platinum
Nickel Nickel
Vanadium Vanadium

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

1 Mark(s)

Your Answer:

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

Phenol is ____ acidic than water.

1 Mark(s)

Your Answer:

More More
Less Less
Equally Equally
Not Not

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

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

Square Square
Triangle Triangle
Circle Circle
Parabola Parabola

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

1 Mark(s)

Your Answer:

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

Benzene is less reactive than alkenes because of:

1 Mark(s)

Your Answer:

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

Order of reactivity of alkyl halides is:

1 Mark(s)

Your Answer:

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

Cadmium rods are used in nuclear reactors to:

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

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

The magnitude of motional EMF depends on:

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

0 0
2 2
1 1
-2 -2

Silence zone near an explosion is due to:

1 Mark(s)

Your Answer:

Reflection Reflection
Diffraction Diffraction
Interference Interference
Refraction Refraction

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

1 Mark(s)

Your Answer:

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

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

A runner covers 400m in 50s. Speed?

1 Mark(s)

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

A discount of 20% on 50 is:

1 Mark(s)

Your Answer:

5 5
10 10
15 15
20 20

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

1 Mark(s)

Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Invalid Invalid

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

1 Mark(s)

Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Valid Valid

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

1 Mark(s)

Your Answer:

10 10
100 100
1 1
9 9

Antonym of MALIGN:

1 Mark(s)

Your Answer:

Praise Praise
Slander Slander
Harm Harm
Injure Injure

ARCHITECT : BUILDING ::

1 Mark(s)

Your Answer:

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

Square root of 0.09 is:

1 Mark(s)

Your Answer:

0.3 0.3
0.03 0.03
0.003 0.003
0.9 0.9

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

1 Mark(s)

Your Answer:

1 1
2 2
3 3
0 0

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?

1 Mark(s)

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

The jury ______ the prisoner of all charges.

1 Mark(s)

Your Answer:

Convicted Convicted
Accused Accused
Acquitted Acquitted
Sentenced Sentenced

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

1 Mark(s)

Your Answer:

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

Hard work is the key ______ success.

1 Mark(s)

Your Answer:

of of
to to
for for
with with

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?

1 Mark(s)

Your Answer:

S S
P P
T T
Q Q

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

1 Mark(s)

Your Answer:

Monday Monday
Tuesday Tuesday
Wednesday Wednesday
Sunday Sunday

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

1 Mark(s)

Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Invalid Invalid

Antonym of EPHEMERAL:

1 Mark(s)

Your Answer:

Transient Transient
Eternal Eternal
Temporary Temporary
Brief Brief

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

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

1 Mark(s)

Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Valid Valid

Synonym of CALAMITY:

1 Mark(s)

Your Answer:

Silence Silence
Peace Peace
Disaster Disaster
Party Party

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

1 Mark(s)

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

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

1 Mark(s)

Your Answer:

Valid Valid
Invalid Invalid
Uncertain Uncertain
Option 4 Option 4

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

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

1 Mark(s)

Your Answer:

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

The ship ______ in the ocean.

1 Mark(s)

Your Answer:

Sank Sank
Drowned Drowned
Floated Floated
Swam Swam

Antonym of LIBERTY:

1 Mark(s)

Your Answer:

Freedom Freedom
Independence Independence
Rights Rights
Slavery Slavery

Sum of angles in a Hexagon:

1 Mark(s)

Your Answer:

720 720
540 540
360 360
180 180

Sum of angles in a quadrilateral:

1 Mark(s)

Your Answer:

180 180
270 270
360 360
90 90

Reciprocal of 2/5 is:

1 Mark(s)

Your Answer:

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

Idiom: "To call it a day" means:

1 Mark(s)

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

Synonym of VAGRANT:

1 Mark(s)

Your Answer:

Stable Stable
Wanderer Wanderer
Rich Rich
Worker Worker

Average of 10, 20, 30, 40?

1 Mark(s)

Your Answer:

20 20
30 30
25 25
35 35

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

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?

1 Mark(s)

Your Answer:

Son Son
Brother Brother
Father Father
Uncle Uncle

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

1 Mark(s)

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

Pythagoras theorem applies to:

1 Mark(s)

Your Answer:

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

OPTIMIST : CHEERFUL ::

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

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

BIRD : FLOCK ::

1 Mark(s)

Your Answer:

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

Do not ______ secrets to strangers.

1 Mark(s)

Your Answer:

Tell Tell
Say Say
Speak Speak
Divulge Divulge

Antonym of JUVENILE:

1 Mark(s)

Your Answer:

Childish Childish
Mature Mature
Young Young
Adolescent Adolescent

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?

1 Mark(s)

Your Answer:

A A
B B
G G
C C

$25 \div 0.5 =$

1 Mark(s)

Your Answer:

50 50
5 5
12.5 12.5
0.5 0.5

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?

1 Mark(s)

Your Answer:

A A
B B
E E
G G

Synonym of MAMMOTH:

1 Mark(s)

Your Answer:

Huge Huge
Tiny Tiny
Animal Animal
Extinct Extinct

$\sqrt{144} = ?$

1 Mark(s)

Your Answer:

12 12
14 14
11 11
13 13

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

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

1 Mark(s)

Your Answer:

7 7
12 12
1 1
0.75 0.75

How many minutes in 1.5 hours?

1 Mark(s)

Your Answer:

60 60
100 100
75 75
90 90

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

1 Mark(s)

Your Answer:

Every month Every month
Never Never
Often Often
Rarely Rarely

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

1 Mark(s)

Your Answer:

Math Math
Phy Phy
Eng Eng
Chem Chem

Perimeter of rectangle with length 4 and width 3:

1 Mark(s)

Your Answer:

12 12
14 14
7 7
24 24

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

1 Mark(s)

Your Answer:

13150 13150
45809 45809
45992 45992
13271 13271

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

1 Mark(s)

Your Answer:

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

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

1 Mark(s)

Your Answer:

1 1
Option 2 Option 2
Uncertain Uncertain
Valid Valid

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?

1 Mark(s)

Your Answer:

E E
F F
C C
B B

The teacher ______ the students for their poor performance.

1 Mark(s)

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

Evaluating Your Answers

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