100525 + Interview Questions in GENERAL QA IN GENERAL AWARENESS

1.	A particle of mass 2 kg chrge 1 mC is projected vertially with velocity k`10 ms^-1`. There is as uniform horizontal electric field of `10^4N//C,` thenA. the horizontal range of the particle is 10mB. the time of flight of the particle is 2 s.C. the maximum height reached is 5 m.D. the horizontal range of the particle is 0.
Answer» Correct Answer - A::B::C a.,b.,c. Time of flight `1(t)=(2u)/(g)=(2xx10)/(10)=2s` `H=(u^(2))/(2g)=(10^(2))/(2xx10)=5m` `R=0+(1)/(2)((qE)/(m))t^(2)=(1)/(2)xx(10^(-3)xx10^(4)xx2xx2)/(2)=10m`

Discussion

2.	Conventional current flow from??
Answer» The flow of electrons is termed electron current. Electrons flow from the negative terminal to the positive. Conventional current or simply current, behaves as if positive charge carriers cause current flow. Conventional current flows from the positive terminal to the negative.

Discussion

3.	At the election you must mark your paper, fold it and drop it into the ________ box. A) voting B) ballot C) nomination D) selection E) electora
Answer» Correct option is B) ballot

Discussion

4.	I just cannot work out the answer to this question; I ________. A) give off B) give out C) giveaway D) give into E) give up
Answer» Correct option is E) give up

Discussion

5.	solve the following pair of linear equation by substitution method s-t=3,s÷3+t÷2=6
Answer» Solution: We have s – t = 3 ... (i) s/3 + t/2 = 6 ... (ii) From equation (i), we gets = t + 3 Putting this value in equation (ii), we get t+3/3 + t/2 = 6 2t + 6 + 3t = 36 5t = 30 t = 30/5 ... (iv) Putting in equation (iii), we obtain s = 9 ∴ s = 9, t = 6

5.

solve the following pair of linear equation by substitution method s-t=3,s÷3+t÷2=6

Answer»

Solution: We have

s – t = 3 ... (i)
s/3 + t/2 = 6 ... (ii)
From equation (i), we gets = t + 3
Putting this value in equation (ii), we get
t+3/3 + t/2 = 6
2t + 6 + 3t = 36
5t = 30
t = 30/5 ... (iv)
Putting in equation (iii), we obtain
s = 9
∴ s = 9, t = 6

Discussion

6.	Find the maximum value of `\|[1, 1, 1],[ 1, 1+sintheta,1],[ 1, 1, 1+costheta]\|`
Answer» `D = \|[1,1,1],[1,1+sintheta,1],[1,1,1+costheta]\|` Applying `R_2->R_2-R_1` and `R_3->R_3-R_1` `= \|[1,1,1],[0,sintheta,0],[0,0,costheta]\|` `=[1(sinthetacostheta-0)-0+0] ` `=sinthetacostheta` As `sinxcosx = 1/2sin2x` `:. D=1/2sin2theta` We know maximum value of `sin2theta` will be `1`. So, maximum value of `D` will be ` = 1/2**1 = 1/2`.

Discussion

7.	What are the major causes of disorder
Answer» The causes of psychological disorders are not known, but a number of factors are thought to influence their development. These factors include chemical imbalances in the brain, childhood experiences, heredity, illnesses, prenatal exposures, and stress. Gender plays a role in some, but not all, psychological disorders.

Discussion

8.	If `A`is a square matrix such that `A^2=I`, then find the simplified value of `(A-I)^3+(A+I)^3-7Adot`
Answer» Here, we are given, `A^2 = I`. Now, `(A+I)^3 = (A+I)(A+I)(A+I)` `= (A^2+IA+AI+I^2)(A+I)` `=(I+A+A+I)(I+A)` (As `A^2 = I`) `=(2I+2A)(I+A)` `=2(I+A)(I+A)` `=2(2(I+A)` `=4I+4A` `:. (A+I)^3 = 4I+4A` Now, `(A-I)^3 = (A-I)(A-I)(A-I)` `=(A^2-IA-IA+I^2)(A-I)` `=(I-2A+I)(A-I)` `=(2I-2A)(A-I)` `=-2(A-I)(A-I)` `=-2(-2(A-I))` `=4A-4I` `:. (A-I)^3+(A+I)^3- 7A = 4A-4I+4I+4A-7A = 8A-7A = A` `=>(A-I)^3+(A+I)^3- 7A = A`

Discussion

9.	A manufacturer produces two products A and B. Both the products areprocessed on two different machines. The available capacity of first machineis 12 hours and that of second machine is 9 hours per day. Each unit ofproduct A requires 3 hours on both machines and each unit of product Brequires 2 hours on first machine and 1 hour on second machine. Each unit ofproduct A is sold at Rs. 7 profit and that of B at a profit of Rs. 4. Find the production levelper day for maximum profit graphically.
Answer» Product A=3(M-I)+3(M-II) Product B=2(M-I)+1(M-II) Profit=(7x+4y) Total time on machine I used =3x+2y 3x+2y`<=`12 Total time on machine II used=3x+y 3x+y`<=`9 A`->`Profit=73+40=21 B`->`Profit=72+43=14+12=26 C`->`Profit=70+46=24 Maximum profit is at point B.

Discussion

10.	Define lines of latitude.
Answer» Line of latitude - an imaginary line around the Earth parallel to the equator. polar circle - a line of latitude at the north or south poles horse latitude - either of two belts or regions near 30 degrees north or 30 degrees south; characterized by calms and light-baffling winds line - a spatial location defined by a real or imaginary unidimensional extent tropic - either of two parallels of latitude about 23.5 degrees to the north and south of the equator representing the points farthest north and south at which the sun can shine directly overhead and constituting the boundaries of the Torrid Zone or tropics

10.

Define lines of latitude.

Answer»

Line of latitude - an imaginary line around the Earth parallel to the equator.

polar circle - a line of latitude at the north or south poles
horse latitude - either of two belts or regions near 30 degrees north or 30 degrees south; characterized by calms and light-baffling winds
line - a spatial location defined by a real or imaginary unidimensional extent
tropic - either of two parallels of latitude about 23.5 degrees to the north and south of the equator representing the points farthest north and south at which the sun can shine directly overhead and constituting the boundaries of the Torrid Zone or tropics

Discussion

11.	Low pressure coming in from the Mediterranean will cause a change in the weather. A) bring round B) bring down C) bring up D) bring about
Answer» Correct option is D) bring about

Discussion

12.	What are the six types of section formation in Indian army.
Answer» Army Division: Each Division is headed by General Officer Commanding (GOC) in the rank of Major General. It usually consists of 15,000 combat troops and 8,000 support elements. Currently, the Indian Army has 37 Divisions including; 4 RAPID (Re-organized Army Plains Infantry Divisions) Action Divisions, 18 Infantry Divisions, 10 Mountain Divisions, 3 Armored Divisions and 2 Artillery Divisions. Each Division composes of several Brigades. Brigade: A Brigade generally consists of around 3,000 combat troops with supporting elements. An Infantry Brigade usually has 3 Infantry Battalions along with various Support Arms & Services. It is headed by a Brigadier. In addition to the Brigades in various Army Divisions, the Indian Army also has 5 Independent Armored Brigades, 15 Independent Artillery Brigades, 7 Independent Infantry Brigades, 1 Independent Parachute Brigade,3 Independent Air Defence Brigades, 2 Independent Air Defence Groups and 4 Independent Engineer Brigades. These Independent Brigades operate directly under the Corps Commander (GOC Corps). Battalion: A Battalion is commanded by a Colonel and is the Infantry’s main fighting unit. It consists of more than 900 combat personnel. Company: Headed by the Major or Captain, a company comprises 120 soldiers. Platoon: An intermediate between a company and section, a platoon is headed by a Captain or Lieutenant, or depending on the availability of commissioned officers, even a junior commissioned officer (Subedar). It has a total strength of about 32 troops. Section: Smallest military outfit with a strength of 10 personnel. Commanded by a non-commissioned officer of the rank of Havildar or Sergeant.

12.

What are the six types of section formation in Indian army.

Answer»

Army Division: Each Division is headed by General Officer Commanding (GOC) in the rank of Major General. It usually consists of 15,000 combat troops and 8,000 support elements. Currently, the Indian Army has 37 Divisions including; 4 RAPID (Re-organized Army Plains Infantry Divisions) Action Divisions, 18 Infantry Divisions, 10 Mountain Divisions, 3 Armored Divisions and 2 Artillery Divisions. Each Division composes of several Brigades.

Brigade: A Brigade generally consists of around 3,000 combat troops with supporting elements. An Infantry Brigade usually has 3 Infantry Battalions along with various Support Arms & Services. It is headed by a Brigadier. In addition to the Brigades in various Army Divisions, the Indian Army also has 5 Independent Armored Brigades, 15 Independent Artillery Brigades, 7 Independent Infantry Brigades, 1 Independent Parachute Brigade,3 Independent Air Defence Brigades, 2 Independent Air Defence Groups and 4 Independent Engineer Brigades. These Independent Brigades operate directly under the Corps Commander (GOC Corps).

Battalion: A Battalion is commanded by a Colonel and is the Infantry’s main fighting unit. It consists of more than 900 combat personnel.

Company: Headed by the Major or Captain, a company comprises 120 soldiers.

Platoon: An intermediate between a company and section, a platoon is headed by a Captain or Lieutenant, or depending on the availability of commissioned officers, even a junior commissioned officer (Subedar). It has a total strength of about 32 troops.

Section: Smallest military outfit with a strength of 10 personnel. Commanded by a non-commissioned officer of the rank of Havildar or Sergeant.

Discussion

13.	`vecp, vecq, vec` be vectors such that `vecq.vecr=0` and `vecp.vecq!=0`. Let `alpha` is real constant such that `vecx.vecp=alpha, vecx xx vecq=vecr`, then `vecx-lamda_(1)vecq=lamda_(2)(vecp xx vecr)` whereA. `lamda_(1)=(alpha)/(vecp.vecq)`B. `lamda_(2)=1/(vecp.vecq)`C. `lamda_(2)=1/(vecr.vecq)`D. `lamda_(1)=(alpha)/(vecr.vecq)`
Answer» Correct Answer - A::B `vecpxx(vecx xx vecq)=(vecp.vecq)-(vecp.vecx)vecq=vecpxxvecr` `vecx=((vecp.vecx)vecq)/(vecp.vecq)+((vecpxxvecr))/(vecp.vecq)=(alpha)/(vecp.vecq) vecq+((vecp+vecr))/(vecp.vecq)`

Discussion

14.	Consider a hyperbola `(x^(2))/36-(y^(2))/25=1` A chord `QPL` meets in asymptote in `L` and a tangent from `L` is drawn touching at `R`. If `PM, RE, QN` be drawn parallel to the asymptote to meet the other asymptote `PM+QN=lamda.RE` whereA. `lamda` is less than 1B. `lamda` is less than `5/2`C. `[lamda]` is 2D. `[lamda]` is zero
Answer» Correct Answer - B::C Property

Discussion

15.	Is he going to participate in the 5000 meters race this year? A) go on B) go in C) go in for D) go for
Answer» Correct option is C) go in for

Discussion

16.	If `4-` horses participate in race. The number of ways in which they can go through finish line is `alpha` (Dead heat is possible), thenA. `[(alpha)/6]=12`B. `[(alpha+1)/10]=7`C. `[100/(alpha)]=2`D. `(alpha)/12=beta, beta epsilon I`
Answer» Correct Answer - A::B `1+.^(4)C_(1)xx2+(\|__4)/(\|__2\|__2\|__2)xx\|__2+(\|__4xx\|__3)/(\|__2\|__1\|__1\|__2)+\|__4=75`

Discussion

17.	Change decimal into percentage 0.93
Answer» 0.93 × 100 = 93%

Discussion

18.	Consider an ellipse `x^2/25+y^2/16=1`. A circle passes through a focus and has its centre on `y= 0` and touches the ellipse at A and S is focus, thenA. `[\|AS\|]` is less than 7B. `\|AS\|lt4`C. `5lt\|AS\|lt6`D. `\|AS\|gt4`
Answer» Correct Answer - A::D Using property and simplifying

Discussion

19.	If you want to repeat the actions multiple times in spreadsheet, you just need toa) create a templateb) create a macroc) sort the datad) filter the data
Answer» (b) create a macro If you want to repeat the actions multiple times in spreadsheet, you just need to create a macro.

19.

If you want to repeat the actions multiple times in spreadsheet, you just need toa) create a templateb) create a macroc) sort the datad) filter the data

Answer»

(b) create a macro

If you want to repeat the actions multiple times in spreadsheet, you just need to create a macro.

Discussion

20.	Discuss the delegation of authority and state its importance.
Answer» In order to define delegation of authority, we have to understand the meaning of the term. Delegation of authority is a process that enables a person to assign a task to others. As a manager or leader, you’re expected to perform several tasks and meet multiple deadlines. To ensure that you achieve your objectives on time, you delegate responsibility to your team members. In short, the meaning of delegation of authority is to entrust someone with tasks and share the overall responsibility. IMPORTANCE OF DELEGATION OF AUTHORITY 1. INCREASED PRODUCTIVITY Delegation helps employees finish tasks faster because the work is distributed among a group of individuals and everyone is responsible for their respective targets. 2. PERSONAL DEVELOPMENT When you delegate tasks, your team members get a chance to showcase their skills and expertise in a particular area. With proper guidance, they can also improve their knowledge and skill sets. 3. CONTINUITY If you’re busy or absent from work, your team can help complete some of your work and ensure continuity and productivity. 4. EMPLOYEE MOTIVATION When you assign new responsibilities, it shows that you trust your employees to take control. They’re encouraged and driven to fully utilize their potential. 5. CAREER GROWTH The more you delegate tasks to different members of your team, the more they understand business goals and objectives. This gives way to potential promotion within the organization.

20.

Discuss the delegation of authority and state its importance.

Answer»

In order to define delegation of authority, we have to understand the meaning of the term. Delegation of authority is a process that enables a person to assign a task to others. As a manager or leader, you’re expected to perform several tasks and meet multiple deadlines. To ensure that you achieve your objectives on time, you delegate responsibility to your team members. In short, the meaning of delegation of authority is to entrust someone with tasks and share the overall responsibility.

IMPORTANCE OF DELEGATION OF AUTHORITY

1. INCREASED PRODUCTIVITY

Delegation helps employees finish tasks faster because the work is distributed among a group of individuals and everyone is responsible for their respective targets.

2. PERSONAL DEVELOPMENT

When you delegate tasks, your team members get a chance to showcase their skills and expertise in a particular area. With proper guidance, they can also improve their knowledge and skill sets.

3. CONTINUITY

If you’re busy or absent from work, your team can help complete some of your work and ensure continuity and productivity.

4. EMPLOYEE MOTIVATION

When you assign new responsibilities, it shows that you trust your employees to take control. They’re encouraged and driven to fully utilize their potential.

5. CAREER GROWTH

The more you delegate tasks to different members of your team, the more they understand business goals and objectives. This gives way to potential promotion within the organization.

Discussion

21.	Which aircraft were used in Air strike in Balakot?
Answer» Correct answer is Mirage 2000.

Discussion

22.	How many Candidates can the president of India appoint in Loksabha?
Answer» 2 Candidates can the president of India appoint in Loksabha.

Discussion

23.	The value of is \(\int\limits_{-π/2}^{π/2}\)sin2x cosx dx _______. (a) 3/2(b) 1/2(c) 0 (d) 2/3
Answer» The correct answer is : (d) 2/3

Discussion

24.	The value of is \(\int\limits_0^π\)sin4x dx is _______.(a) 3π/10(b) 3π/8(c) 3π/4(d) 3π/2
Answer» The correct answer is : (b) 3π/8

Discussion

25.	X=nπ+(-1)^ny prove that
Answer» Proof: Consider the equation, sin x = sin y. Let us try to find the general solution for this trigonometric equation. sin x = sin y ⇒ sin x – sin y = 0 ⇒2cos (x + y)/2 sin (x – y)/2 = 0 ⇒cos (x + y)/2 = 0 or sin (x – y)/2 = 0 Upon taking the common solution from both the conditions, we get: x = nπ + (-1)ⁿy, where n ∈ Z

25.

X=nπ+(-1)^ny prove that

Answer»

Proof: Consider the equation, sin x = sin y. Let us try to find the general solution for this trigonometric equation.

sin x = sin y

⇒ sin x – sin y = 0

⇒2cos (x + y)/2 sin (x – y)/2 = 0

⇒cos (x + y)/2 = 0 or sin (x – y)/2 = 0

Upon taking the common solution from both the conditions, we get:

x = nπ + (-1)ⁿy, where n ∈ Z

Discussion

26.	Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is (a) 9 (b) 27 (c) 81 (d) 512
Answer» (d) 512 Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is 512.

26.

Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is (a) 9 (b) 27 (c) 81 (d) 512

Answer»

(d) 512

Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is 512.

Discussion

27.	∫1/x2dx equals(a) \(\frac{1}{x}+C\)(b) x + C(c) -2x + C(d) 2x + C
Answer» Correct answer is (a) \(\frac{1}{x} + C\) (1/x) + C

27.

∫1/x2dx equals(a) \(\frac{1}{x}+C\)(b) x + C(c) -2x + C(d) 2x + C

Answer»

Correct answer is

(a) \(\frac{1}{x} + C\)

(1/x) + C

Discussion

28.	If f(x) = x2 + 5x + 2, then f'(3) is(a) 11 (b) 12 (c) 10 (d) 9
Answer» (a) 11 If f(x) = x² + 5x + 2, then f'(3) is 11.

28.

If f(x) = x2 + 5x + 2, then f'(3) is(a) 11 (b) 12 (c) 10 (d) 9

Answer»

(a) 11

If f(x) = x² + 5x + 2, then f'(3) is 11.

Discussion

29.	IF y = xey, then dy/dx is(a) \(\frac{y}{1-y}\)(b) \(\frac{y}{x(1-y)}\)(c) \(\frac{x}{1-y}\)(d) \(\frac{x}{x(1-y)}\)
Answer» (b) \(\frac{y}{x(1 - y)}\) y/x(1 - y) IF y = xe^y, then dy/dx is \(\frac{y}{x(1 - y)}\).

29.

IF y = xey, then dy/dx is(a) \(\frac{y}{1-y}\)(b) \(\frac{y}{x(1-y)}\)(c) \(\frac{x}{1-y}\)(d) \(\frac{x}{x(1-y)}\)

Answer»

(b) \(\frac{y}{x(1 - y)}\)

y/x(1 - y)

IF y = xe^y, then dy/dx is \(\frac{y}{x(1 - y)}\).

Discussion

30.	Time and energy are important resources which are required to do all the activities. We need to utilise them properly. Time and energy management helps to maximize the use of both the resources. It helps to reduce fatigue. Mr. Sharma is working as manager in bank for last fifteen years . He is following same routine daily. His wife does all the household chores by herself. In the end of day they both feel fatigued.(i) Identify the fatigue Mr. Sharma might be suffering from. a. Physiological b. Psychological c. Static d. Financial(ii) Mr. Sharma can reduce his fatigue bya. Rest b. Extract maximum work c. Set small targets d. Lack of appreciation(iii) Suggest an appropriate way to reduce physiological fatigue of Mrs. Sharma. a. Demand of family b. Motivation c. Incentives d. Develop skills(iv) Match the followingI. Dovetailing A. Mixer Grinder II. Peak load period B. Baking and chopping III. Labour saving device C. Alternate standing and sitting IV. Improve Posture D. Morning time Choose correct optiona. I C, II A, III D, IV B b. I B, II D,III A, IV C c. I D,II B, III C, IV A d. I A, II C, III B, IV D(v) Given below are two statements labeled as Assertion (A) and reason (R) Assertion (A) - While making time plan one should alternate between heavy and light activities. Reason(R) - It helps to reduce fatigue. Select the most appropriate answer from the options given below: a. Both A and R are true and R is the correct explanation of A. b. Both A and R are true but R is not the correct explanation of A. c. A is true but R is false. d. A is false and R is true.(vi) Given below are two statements labeled as Assertion (A) and reason (R) Assertion (A) - Dovetailing means doing one activity at a time. Reason(R)-Use of whole spices reduces energy. Select the most appropriate answer from the options given below: a. Both A and R are true and R is the correct explanation of A. b. Both A and R are true but R is not the correct explanation of A. c. A is true but R is false. d. Both A and R are false.
Answer» (i) b. Psychological (ii) c. Set small targets (iii) d. Develop skills (iv) b. I B, II D,III A, IV C (v) a. Both A and R are true and R is the correct explanation of A. (vi) d. Both A and R are false.

30.

Time and energy are important resources which are required to do all the activities. We need to utilise them properly. Time and energy management helps to maximize the use of both the resources. It helps to reduce fatigue. Mr. Sharma is working as manager in bank for last fifteen years . He is following same routine daily. His wife does all the household chores by herself. In the end of day they both feel fatigued.(i) Identify the fatigue Mr. Sharma might be suffering from. a. Physiological b. Psychological c. Static d. Financial(ii) Mr. Sharma can reduce his fatigue bya. Rest b. Extract maximum work c. Set small targets d. Lack of appreciation(iii) Suggest an appropriate way to reduce physiological fatigue of Mrs. Sharma. a. Demand of family b. Motivation c. Incentives d. Develop skills(iv) Match the followingI. Dovetailing A. Mixer Grinder II. Peak load period B. Baking and chopping III. Labour saving device C. Alternate standing and sitting IV. Improve Posture D. Morning time Choose correct optiona. I C, II A, III D, IV B b. I B, II D,III A, IV C c. I D,II B, III C, IV A d. I A, II C, III B, IV D(v) Given below are two statements labeled as Assertion (A) and reason (R) Assertion (A) - While making time plan one should alternate between heavy and light activities. Reason(R) - It helps to reduce fatigue. Select the most appropriate answer from the options given below: a. Both A and R are true and R is the correct explanation of A. b. Both A and R are true but R is not the correct explanation of A. c. A is true but R is false. d. A is false and R is true.(vi) Given below are two statements labeled as Assertion (A) and reason (R) Assertion (A) - Dovetailing means doing one activity at a time. Reason(R)-Use of whole spices reduces energy. Select the most appropriate answer from the options given below: a. Both A and R are true and R is the correct explanation of A. b. Both A and R are true but R is not the correct explanation of A. c. A is true but R is false. d. Both A and R are false.

Answer»

(i) b. Psychological

(ii) c. Set small targets

(iii) d. Develop skills

(iv) b. I B, II D,III A, IV C

(v) a. Both A and R are true and R is the correct explanation of A.

(vi) d. Both A and R are false.

Discussion

31.	Which of the following is a homogenous differential equation?(a) x2ydx-(x3+y3)dy=0 (b) (xy)dx-(x4+y4)dy=0 (c) (2x+y-3)dy-(x+2y-3)dx=0 (d) (x-y)dy=(x2+y+1)dx
Answer» (a) x²ydx-(x³+y³)dy=0

Discussion

32.	If hypotenuse of a right angled triangle is 5 cm, find the radius of the circle passing through all vertices of the triangle.
Answer» Radius = 1 / 2 × hypotenuse ...........(The circumcentre of a right-angled triangle is the mid-point of its hypotenuse) = 1 / 2 × 5 = 2.5

32.

If hypotenuse of a right angled triangle is 5 cm, find the radius of the circle passing through all vertices of the triangle.

Answer»

Radius = 1 / 2 × hypotenuse ...........(The circumcentre of a right-angled triangle is the mid-point of its hypotenuse)

= 1 / 2 × 5

= 2.5

Discussion

33.	PQRS is a parallelogram. Write the sum of measures of ∠P and ∠Q.
Answer» PQRS is a parallelogram. ∴∠ P + ∠ Q = 180° ....... (Sum of measures of interior angles is 180°)

33.

PQRS is a parallelogram. Write the sum of measures of ∠P and ∠Q.

Answer»

PQRS is a parallelogram.

∴∠ P + ∠ Q = 180° ....... (Sum of measures of interior angles is 180°)

Discussion

34.	\(\lim\limits_{x \to 0}\frac{\sqrt{1+x}-1}{x}\) is equal tolim ((√1+x)-1)/x, x ∈ 0(a) 0 (b) 1 (c) 1/2 (d) √2
Answer» (c) 1/2 lim ((√1+x)-1)/x, x ∈ 0 is equal to 1/2.

34.

\(\lim\limits_{x \to 0}\frac{\sqrt{1+x}-1}{x}\) is equal tolim ((√1+x)-1)/x, x ∈ 0(a) 0 (b) 1 (c) 1/2 (d) √2

Answer»

(c) 1/2

lim ((√1+x)-1)/x, x ∈ 0 is equal to 1/2.

Discussion

35.	If \(\lim\limits_{x \to 2} \frac{x^n - 2^n}{x - 2} = 32,\) then the value of n islim (xn - 2n)/(x - 2) = 32, x ∈ 2, then the value of n is(a) 1 (b) 2 (c) 3 (d) 4
Answer» (d) 4 lim (xⁿ- 2ⁿ)/(x - 2) = 32, x ∈ 2, then the value of n is 4.

35.

If \(\lim\limits_{x \to 2} \frac{x^n - 2^n}{x - 2} = 32,\) then the value of n islim (xn - 2n)/(x - 2) = 32, x ∈ 2, then the value of n is(a) 1 (b) 2 (c) 3 (d) 4

Answer»

(d) 4

lim (xⁿ- 2ⁿ)/(x - 2) = 32, x ∈ 2, then the value of n is 4.

Discussion

36.	The principal value of cos-1 (-1/2) is :(a) π/3(b) π/6(c) 2π/3(d) 3π/4
Answer» Answer is (c) 2π/3

Discussion

37.	Index Numbers are expressed in (a) Ratios (b) Squares (c) Percentages (d) None of these
Answer» (c) percentages Index Numbers are expressed in percentages. Index numbers are represented by percentages (%) ****

37.

Index Numbers are expressed in (a) Ratios (b) Squares (c) Percentages (d) None of these

Answer»

(c) percentages

Index Numbers are expressed in percentages.

Index numbers are represented by percentages (%)

Discussion

38.	Find the missing numbers in the given pattern:
Answer» Number is filled as: 14 , 20 The number in unfilled flowers are 14 and20

38.

Find the missing numbers in the given pattern:

Answer»

Number is filled as:

14 , 20

The number in unfilled flowers are

14 and20

Discussion

39.	Fill in the missing numbers.
Answer» 50 ; 52 ; 54 ; 55 The numbers in unfilled are 50,52,54,55

Discussion

40.	At which age the child can distinguish between the stranger and familiar people?
Answer» At age up to 20 years

Discussion

41.	tan-1 x + cot-1 x = (a) π(b) π/2(c) 2π/3(d) 3π/4
Answer» Answer is (b) π/2

Discussion

42.	Objective function of a L.P.P. is (a) A constraint (b) A function to be optimized (c) A relation between the variables (d) None of these
Answer» (b) A function to be optimized Objective function of a L.P.P. is A function to be optimized.

42.

Objective function of a L.P.P. is (a) A constraint (b) A function to be optimized (c) A relation between the variables (d) None of these

Answer»

(b) A function to be optimized

Objective function of a L.P.P. is A function to be optimized.

Discussion

43.	(d/dx) tan-1 x + cot-1 x = (a) 2/(1 + x2)(b) 0(c) 1(d) 2
Answer» Answer is (b) 0

Discussion

44.	(d/dx) cos-1 x =
Answer» Answer is (c) -1/√(1 - x²)

Discussion

45.	The corner points of the feasible region determined by the following system of linear inequalities: 2x + y ≤ 10, x + 3y ≤ 15, x, y ≥ 0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy, where p, q > 0. Conditions on p and q so that maximum of Z occurs at both (3, 4) and (0, 5) is(a) p = q (b) p = 2q (c) p = 3q (d) q = 3p
Answer» Correct answer is (d) q = 3p

45.

The corner points of the feasible region determined by the following system of linear inequalities: 2x + y ≤ 10, x + 3y ≤ 15, x, y ≥ 0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy, where p, q > 0. Conditions on p and q so that maximum of Z occurs at both (3, 4) and (0, 5) is(a) p = q (b) p = 2q (c) p = 3q (d) q = 3p

Answer»

Correct answer is

(d) q = 3p

Discussion

46.	Which of the following forms the basis for the autocratic model of OB a) Obedience b) Authority c) Powerd) Dependence on boss
Answer» Power forms the basis for the autocratic model of OB.

Discussion

47.	"Might is right” is the motto of a) Autocratic Model b) Custodial Model c) Supportive Mode d) Collegial Model
Answer» “Might is right” is the motto of Autocratic Model .

Discussion

48.	Out of 100 bicycles, 10 bicycles have punctures. What is the probability of not having any punctured bicycle in a sample of 5 bicycles?(a) \(\frac{1}{2^5}\)(b) \(\frac{1}{2^9}\)(c) \(\left(\frac{9}{10}\right)^5\)(d) \(\frac{1}{10^5}\)
Answer» Correct answer is (c) \(\left(\frac{9}{10}\right)^5\)

48.

Out of 100 bicycles, 10 bicycles have punctures. What is the probability of not having any punctured bicycle in a sample of 5 bicycles?(a) \(\frac{1}{2^5}\)(b) \(\frac{1}{2^9}\)(c) \(\left(\frac{9}{10}\right)^5\)(d) \(\frac{1}{10^5}\)

Answer»

Correct answer is

(c) \(\left(\frac{9}{10}\right)^5\)

Discussion

49.	(iii) \( \sqrt{225} \)
Answer» \(\sqrt{225}=\sqrt{15 \times 15}=\sqrt{15^2}=15\) \(\)√225=× √15^2=√×^2 Root & square get cancelled Hence × = 15 √225=√15x15=√(15²)=15

49.

(iii) \( \sqrt{225} \)

Answer» \(\sqrt{225}=\sqrt{15 \times 15}=\sqrt{15^2}=15\)

\(\)√225=×

√15^2=√×^2

Root & square get cancelled

Hence

× = 15

√225=√15x15=√(15²)=15

Discussion

50.	The equation of the line joining the points (a, 0) and (0, b) is(a) ax + by = 0(b) bx + ay = 0(c) \(\frac{x}{b} + \frac{y}{a} = 1\)(d) \(\frac{x}{a} + \frac{y}{b} = 1\)
Answer» (d) \(\frac{x}{a} + \frac{y}{b} = 1\) x/a + y/b = 1 The equation of the line joining the points (a,0) and (0, b) is \(\frac{x}{a} + \frac{y}{b} = 1\).

50.

The equation of the line joining the points (a, 0) and (0, b) is(a) ax + by = 0(b) bx + ay = 0(c) \(\frac{x}{b} + \frac{y}{a} = 1\)(d) \(\frac{x}{a} + \frac{y}{b} = 1\)

Answer»

(d) \(\frac{x}{a} + \frac{y}{b} = 1\)

x/a + y/b = 1

The equation of the line joining the points (a,0) and (0, b) is \(\frac{x}{a} + \frac{y}{b} = 1\).

Discussion

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