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Q.
The traffic lights at three different road crossings change after every seconds, seconds and seconds respectively. If they change simultaneously at at what time will they change simultaneously again?
Q.
The dimensional formula for permittivity of free space in equation where symbols have their usual meaning is ________.
Q.
Find the greatest number of 6 digits exactly divisible by and .
Q. One ton refrigeration is equal to
- 50 kJ/s
- 3.5 kW
- 1000 J/min
- 1000 kJ/min
Q. The volume of one bag of cement weighing 50 kg is:
- 0.05m3
- 0.0245m3
- 0.0345m3
- 0.0445m3
Q. (i) Six friends A, B, C, D, E and F are sitting along the sides of a hexagonal table for playing a game, though not necessarily in the same order.
(ii) F, who is sitting exactly opposite of A, is to the immediate right B.
(iii) D is between A and B and is exactly opposite to C.
A is sitting between which of the following pairs of persons?
(ii) F, who is sitting exactly opposite of A, is to the immediate right B.
(iii) D is between A and B and is exactly opposite to C.
A is sitting between which of the following pairs of persons?
- D and E
- B and E
- E and C
- None of these
Q. How many seats do we have in IIT and NIT colleges?
- 16k seats in IIT and 23k seats in NIT
- 1k seats in IIT and 5k seats in NIT
- 5k seats in IIT and 10k seats in NIT
- 10k seats in IIT and 10k seats in NIT
Q. A pipelined processor uses a 4-stage instruction pipeline with the following stages: Instruction fetch (IF), Instruction decode (ID), Execute (EX) and Writeback (WB). The arithmatic operations as well as the load and store operations are carried out in the EX stage. The sequence of instructions corresponding to the statement X = (S - R *(P + Q))/ T is given below. The values of variables P, Q, R, S and T are available in the registers R0, R1, R2, R3 and R4 respectively, before the execution of the instruction sequence.
ADD R5, R0, R1 ; R5 → R0 + R1
MUL R6, R2, R5 ; R6 → R2 + R5
SUB R5, R3, R6 ; R5 → R3 - R6
DIV R6, R5, R4 ; R6 → R5/R4
STORE R6, X ; X ← R6
The IF, ID and WB stages take 1 clock cycle each. The EX stage takes 1 clock cycle each for the ADD, SUB and STORE operations, and 3 clock cycles each for MUL and DIV operations. Operand forwarding from the EX stage to the ID stage is used. The number of clock cycles required to complete the sequence of instructions is
ADD R5, R0, R1 ; R5 → R0 + R1
MUL R6, R2, R5 ; R6 → R2 + R5
SUB R5, R3, R6 ; R5 → R3 - R6
DIV R6, R5, R4 ; R6 → R5/R4
STORE R6, X ; X ← R6
The IF, ID and WB stages take 1 clock cycle each. The EX stage takes 1 clock cycle each for the ADD, SUB and STORE operations, and 3 clock cycles each for MUL and DIV operations. Operand forwarding from the EX stage to the ID stage is used. The number of clock cycles required to complete the sequence of instructions is
- 14
- 12
- 16
- 10
Q. A number is mistakenly divided by 5 instead of being multiplied by 5. Find the percentage change in the result due to this mistake.
- 96%
- 95%
- 2400%
- None of these
Q. In the worst case, the number of comparisons needed to search singly linked list of length n for given elements is
- n2
- log2n−1
- n
- log2n
Q. The characteristic equation for the complement output of a J K flip-flop is
- ¯J¯Q+¯KQ
- ¯JQ+¯KQ
- ¯J¯Q+KQ
- ¯JQ+K¯Q
Q.
The plan above shows an office block for six officers A, B, C, D, E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F's office is further down the corridor than A's, but on the same side.
Who is/are F's neighbour (s)?
The plan above shows an office block for six officers A, B, C, D, E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F's office is further down the corridor than A's, but on the same side.
Who is/are F's neighbour (s)?
- A only
- A & B
- C
- B & C
Q. For a 50 kg bag of cement, water required is
- 22.5 litres
- 20.5 litres
- 18.5 litres
- 23.5 litres
Q. Which of the following operations is not 0(1) for an array of sorted data. You may assume that array elements are distinct.
- All of the abov
- Find the ith largest element
- Find the ith smallest element
- Delete an element
Q. The door of Aditya's house faces the East. From the back side of his house, he walks straight 50 m, then turns to the right and walks 50 m again. Finally he turns towards left and stops after walking 25 m. Now, Aditya is in which direction form the starting point?
- Sout-east
- North-east
- South-west
- North-west
Q.
What are the collective nouns of books?
Q. What is the difference between the simple inter on a principal of Rs. 500 being calculated at 5% annum for 3 years and 4% per annum for 4 year
- Rs. 5
- Rs. 10
- Rs. 20
- Rs. 40
Q.
Opposite gender of widow is?
Q.
Difference between scholastic and co-scholastic areas of assessment.
Q. Learn Sense can scan only the Byjus Books and recommend the respective video content in Byjus App
- True
- False
Q. Activity P is followed by activity Q which in turn is followed by activity R. The direct cost of these activities in relation to the choice of feasible durations table is given below:
For all the three activities taken together the minimum possible direct cost for a total duration of 21 days will be:
Activity P | Activity Q | Activity R | |||||||
Duration in days | 7 | 6 | 5 | 8 | 7 | 6 | 9 | 8 | 7 |
Direct cost Rs 1000 | 12 | 14 | 15 | 20 | 23 | 27 | 40 | 42 | 45 |
For all the three activities taken together the minimum possible direct cost for a total duration of 21 days will be:
- 81, 000
- 79, 000
- 77, 000
- 78, 000
Q. Which of the following is not a valid variable name declaration?
- int _3a
- int _a3
- int a_3
- int 3_a
Q. The initial setting of cement is caused due to:
- Di-calcium silicate
- tri-calcium silicate
- tri-calcium aluminate
- tri-calcium alumino ferrite
Q. Difference in length of an arc and its subtended chord on earth's surface for a distance of 18.2 km is -
- 10 mm
- 15 mm
- 22 mm
- 100 mm
Q. The plan of a map was photo-copied to a reduced size such that a line originally 100 mm, measures 90 mm. The original scale of the plan was 1 : 1000. The revised scale is
- 1 : 900
- 1 : 1221
- 1 : 1111
- 1 : 1121
Q. A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's is 1/5. What is the probability that both of them will be selected?
- 27
- 135
- 2425
- 1135
Q. Minimum clear cover (in mm) to the main steel bars in slab, beam, column and footing respectively are
- 10, 15, 20, 25
- 15, 25, 40, 40
- 20, 25, 30, 40
- 20, 35, 40, 75
Q. Identify the correct definition for phase Margin and Gain margin:
- I. Gain margin is a factor by which the system gain can be decreased to drive the system to the verse of instability.
II. Phase margin is the additional phase lead at the gain cross over frequency to bring the system to verge of instability. - I. Gain margin is a factor by which the system gain can be decreased to drive the system to the verse of instability.
II. Phase margin is the additional phase lag at the gain cross over frequency to bring the system to verge of instability. - I. Gain margin is a factor by which the system gain can be increased to drive the system to the verse of instability.
II. Phase margin is the additional phase lag at the gain cross over frequency to bring the system to verge of instability. - I. Gain margin is a factor by which the system gain can be increased to drive the system to the verse of instability.
II. Phase margin is the additional phase lead at the gain cross over frequency to bring the system to verge of instability.
Q. Consider a two dimensional array A[20][10]. Assume 4 words per memory cell, the base address of array A is 100, elements are stored in row-major order and first element is A[0][0].What is the address of A[11][5]?
- 575
- 560
- 570
- 460
Q. Let G be an undirected graph. Consider a depth-first traversal of G, and let T be the resulting depth-first search tree. Let u be a vertex in G and let v be the first new (unvisited) vertex visited after visiting u in the traversal. Which of the following statements is always true?
- {u, v} must be an edge in G, and v is a descendant of u in T
- {u, v} must be an edge in G, and u is a descendant of v in T
- If {u, v} is not an edge in G then u is a leaf in T
- If {u} is not an edge in G then u and v must have the same parent in T