The transfer function of a real system, H(s), is given as :
where A, B, C and D are positive constants. This system cannot operate as
When the Wheatstone bridge shown is used to find value of resistance Rx, the Galvanometer G indicates zero current when R1=50, R2=65
& R3=100
. If R3 is known with +5% tolerance on its nominal value of 100
, what is range of Rx in ohms?
The impulse response g(t) of a system, G, is as shown in Figure (a). What is the maximum value attained by the impulse response of two cascaded blocks of G as shown in Figure (b)?
The geometric mean radius of a conductor, having four equal strands with each strand of radius r, as shown in the figure below, is
Instructions (Q1 to Q10): In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements:
Some actors are singers.
All the singers are dancers.
Conclusions:
1. Some actors are dancers.
2. No singer is actor.
Statements:
All the harmoniums are instruments.
All the instruments are flutes.
Conclusions:
(1) All the flutes are instruments.
(2) All the harmoniums are flutes.
Statements:
Some mangoes are yellow.
Some tixo are mangoes.
Conclusions:
(1) Some mangoes are green.
(2) Tixo is a yellow.
Statements:
Some ants are parrots.
All the parrots are apples.
Conclusions:
1. All the apples are parrots.
2. Some ants are apples.
In 2003, there are 28 days in February and 365 days in a year. In 2004, there are 29 days in February and 366 days in the year. If March 11, 2003 is a Tuesday, then March 11, 2004 would be which of the following days?
If today is Wednesday, then what will be the day after 94 days?
If the 1st of March of a year is a Wednesday, then which of the following months of the same year will start with the same day?
In a certain coding system, 'TEN' is coded as 256 and 'SIXTY' is coded as 19827. How will you code 'SIXTEEN' in this coding system?
In a certain coding system, 'PAGES' is coded as 23719 and 'GUEST' is coded as 75196. How will you code 'STAGE' in this coding system?
Directions: Read the following information carefully and answer the question that follows.
In a village of Bastar district in Madhya Pradesh, only two types of people live who belong to a tribal class. The first type is known as class A, while the other is known as class B. In that village, there is no other type of person except these two. The activities of both types of people are governed by perfectly patterned norms of social behaviour. Each person of the tribe has to obey the norms. They are rigid about this.
As far as marriage is concerned, the following norms are to be followed:
(A) The people of class A cannot marry any other member of their own class, though they can marry members of class B.
(B) After being married, each male member ceases to be member of that class in which he was born, but automatically he becomes the member of the other class to which his wife belongs.
(C) As far as females are concerned, they remain the members of their own class after being married.
(D) On its birth, the child automatically becomes the member of its mother's class.
(E) When any male member becomes widower or divorcee, then he again belongs to the group in which he was born.
(F) Nobody can marry more than one person according to social laws.
Q. A boy who was born in class B (boy and his wife both can have married and unmarried brothers) can have
Directions: Study the information given below and answer the question that follows.
A is the father of two children, B and D, who are of different sexes.
C is B's spouse.
E is of the same sex as D.
B and C have two children: F, who is of the same sex as B and G, who is of the same sex as C.
E's mother H, who is married to L, is the sister of D's mother, M.
E and E's spouse, I, have two children J and K, who are of the same sex as I.
No person has married more than once, and no children have been born out of wedlock.
The only restriction on marriage is that marriage to a sibling, to a direct descendant, or to more than one person at the same time is forbidden.
Q. According to the rules, D can marry
In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answer accordingly.
Statements:
L > F = S < T ≤ Q < P
Conclusions:
I. F < Q
II. L > S
III. T < P
In the following question, assuming the given statements to be true, find which of the following among the given conclusions is/are definitely true and then give your answers accordingly.
Statement:
S = U > K > L ≥ Y < R ≤ B
Conclusion:
I. K < Y
II. L > Y
III. L = Y
Direction: Study the following information and answer the questions that follow:
Five guest lecturers have to be scheduled for students starting from Monday and ending on Friday of the same week. The topics of lectures are maths, science, language, civics, and grooming, not necessarily in the same order. The experts for lectures belong to Hyderabad, Chennai, Mumbai, Delhi, and Jaipur, not necessarily in the same order. Three guest lecturers are females and two are males.
The males will take lectures on alternate days and won't be available on Monday. The expert who belongs to Delhi is a female and is free only on Tuesday. The Civics lecture needs to be scheduled on Wednesday. Neither grooming nor maths can be scheduled for Monday. The language lecture should be scheduled after civics. The grooming expert belongs to Hyderabad. The expert of science neither belongs to Chennai, nor to Jaipur. A female expert belongs to Jaipur.
Q.
Which of the following statements is true about the lecture that was held on Thursday?
A. The lecture was delivered by a male.
B. The lecture was delivered by an expert from Jaipur.
C. The lecture was delivered on the subject of Science
Find the pairs of consecutive even positive integers both of which should be less than 10 and their sum is greater than 11?
Directions to Solve
In each of the following questions find out the alternative which will replace the question mark.
Question -
CUP : LIP :: BIRD : ?
State the following statements are Fact ,Interface
(A) Gold jewellery and coins exports jumped 22% in April–September.
(B) You have to work harder to crack examinations like the CLAT.
(C) Usain Bolt is such a fast runner that he may even defeat the fastest land animal on Earth someday.
(D) Due to the collapse of the bridge, villagers are facing a big problem of travelling to the town.
(A) An apple a day, keep the doctor away.
(B) Be the change you wish to see in the world.
(C) Without music, life would be a mistake.
(D) A room without books is like a body without soul
(A) Narendra Modi’s vision of ‘Smart Cities’ will certainly lead to more inclusive growth and better allocation of resources
(B) The Berlin Wall fell on November 9th, 1989 as the Cold War began to thaw across Europe.
(C) If there is an Earthquake, it is bound to make some geographical changes in the area.
(D) He is the most intelligent boy in the class.
Q. How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
Look at this series: 2, 1, (1/2), (1/4),...so on. What number should come next?
The average of a batsman after 25 innings was 56 runs per innings. If after the 26th inning his average increased by 2 runs, then what was his score in the 26th inning?
If x = 2 is a root of the quadratic equation 3x2 – px – 2 = 0, then the value of ‘p’ is
The height of a cylinder is 14 cm and its curved surface area is 264 sq. cm. Find the radius of its base.
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: