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A H-shaped frame of uniform flexual rigidity EI is loaded as shown in the figure. The relative outward displacement between points K and O is
\(\frac { RL{ h }^{ 2 } }{ EI } \)
b)\(\frac { { RL }^{ 2 }h }{ EI } \)
c)\(\frac { RL{ h }^{ 2 } }{ EI } \)
d)\(\frac { { RL }^{ 2 }h }{ 3EI } \)
Pick the incorrect statement from the following four statements.
On the plane which carries maximum normal stress, the shear stress is zero
b)Principal planes are mutually orthogonal
c)On the palne which carries maximum shear stress, the normal stress is zero
d)Principal planes are inclined at 450 with plane of maximum shear stress
Solution of recurrence relation
ar - 5ar-1 + 8ar-2 - 4ar-3 = 0 is
ar = A1(1)r + (A2 + A3r) (2)r
b)ar = (A1 + A2r2 + A3r3) (3)r
c)ar = (A1 + A2r + A3 r2) (-2)r
d)None of the above
What is the possible number of reflexive relations on a set of 5 elements?
210
b)215
c)220
d)225
Let P, Q and R be three atomic propositional assertions. Let X denotes (P V Q) \(\rightarrow\) R and Y denotes \((P\rightarrow R)\nu (Q\rightarrow R)\). Which one of the following is a tautology?
\(X\equiv Y\)
b)\(X\rightarrow Y\)
c)\(Y\rightarrow X\)
d)\(\rightharpoondown Y\rightarrow X\)
A numerical solution of the equation \(f(x)=x+\sqrt { x-3 } \) can be obtained using Newton-Raphson method. If the starting value of x = 2 for ten iterations, the value of x that is to be used in the next step
0.306
b)0.739
c)1.694
d)2.306
If mode of a data is 18 and mean is 24, then median
18
b)24
c)22
d)21
The value of the \(\oint { \frac { -3z+4 }{ { z }^{ 2 }+4z+5 } } dz\) where C is the circle |z|=1 is given by
0
b)\(\frac { 1 }{ 10 } \)
c)\(\frac { 4 }{ 5 } \)
d)1
The order of the differential equation \(\frac { { d }^{ 2 }y }{ dt^{ 2 } } +\left( \frac { dy }{ dt } \right) ^{ 3 }+{ y }^{ 4 }=e^{ -t }\)
1
b)2
c)3
d)4
The value of \(l=\int _{ 0 }^{ a }{ \int _{ \frac { { x }^{ 2 } }{ a } }^{ 2a-z }{ xy\quad dx\quad dy } } \)is
\(\frac { 3 }{ 8 } { a }^{ 4 }\)
b)\(\frac { 5 }{ 8 } { a }^{ 4 }\)
c)\(\frac { 7 }{ 8 } { a }^{ 4 }\)
d)\({ a }^{ 4 }\)
How many equations does the following system of linear equations have ?
-x+5y = -1
x-y = 2
x+3y = 3
Infinitely many
b)Two distinct solutions
c)Unique
d)None of these
If the first and fourth terms of a GP are 1 and 27 the common ratio is
1
b)\(\frac { 1 }{ 3 } \)
c)3
d)\(\frac { 1 }{ 27 } \)
If logx \(\frac { 9 }{ 16 } =-\frac { 1 }{ 2 } ,\)then x is
\(-\frac { 1 }{ 2 } \)
b)\(\frac {2 }{3 } \)
c)\(\frac { 81 }{ 256 } \)
d)\(\frac { 256 }{81 } \)
In a flight of 800 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/h and the time of flight increased by 20 min. The duration of the flight is
\(\frac { 3 }{ 5 } h\)
b)\(\frac { 1 }{ 2 } h\)
c)1 h
d)\(1\frac { 1 }{ 2 } h\)
There is a leak in the bottom of a cistern. Before the leak, it could be filled in \(4\frac { 1 }{ 2 } h\) . It now takes \(\frac { 1 }{ 2 } h\) longer. If the cistern is full, in how much time would the leakage empty the full cistern?
45 h
b)40 h
c)36 h
d)56 h
A person invests money in three different schemes for 5 yr, 10 yr and 15 yr at 8%, 10 % and 12% simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investments is
45:9:5
b)45:18:10
c)25:18:10
d)25:9:5
The order of a leaf node in a B+ tree is the maximum number of (value, data recoed pointer) pairs it can hold. Given that the block size in 1 Kbytes, data record pointer is 7 nytes long, the value field is 9 byte long and a block pointer is 6 bytes long, what is the order of the leaf node?
63
b)64
c)67
d)68
A trader professes to sell his goods at cost price but he uses a false weight of 800g for 1 kg. Find his gain per cent
25%
b)21%
c)18%
d)16%
p is 5 times as large as q, the percent that q is less than p is
70%
b)75%
c)80%
d)85%
Which among the following is the least number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7, when divided by 7 leaves a remainder of 6, when divided by 6 leaves a remainder of 5, when divided by 5 leaves a remainder of 5, when divided by 4 leaves a reaminder 3, when divided by 3 leaves a remainder of 2, when divided by 2 leves a reaminder of 1 ?
7559
b)839
c)5039
d)None of these
Each of the answer choice has a combination of three statements from the given set of six statements .You are required to identify the answer choice in which the statements are logically related.
A. A is taller than B.
B. A and B play golf.
C. C is shorter than B, but taller than D.
D. Golf and cricket are outdoor games.
E. C is the second shortest.
F. All outdoor games require energy.
ABC
b)ACE
c)ADF
d)FBD
Four girls are sitting on a bench to be photographed. Shikha is to the left of Reena. Manju is to the right of Reena. Rita is between Reena and Manju. Who would be the second from the left in the photograph?
Reena
b)Shikha
c)Manju
d)Rita
Read the following information carefully and answer the questions.
Five dramas A,B,C,D, and E have to be staged in 6 h where 1 h needs to be given per drama.
(1) A break of 1 has to be taken in the third or fourth hour.
(2) Drama show cannot be started with A and has to end in C.
(3) D has to follow B immediately with no break in between.
(4) A cannot be done immediately after D.
(5) A has to precede E immediately with no break in between.
Which drama is staged immediately after D?
B
b)E
c)C
d)None of these
A worker may claim Rs 15 for each km which he travels by taxi and Rs. 5 for each km which he drives his own car. If in one week he claimed Rs 500 for travelling 80 km, how many km did he travel by taxi?
10
b)20
c)30
d)40
Select the pair of Words, Which exhibits the same relationship between each other as the given pair of words.
Quixotic : practicable ::
Eulogize : praise
b)Ethos : spirit
c)Ethics : morality
d)Raucous : quiet
Choose the most appropriate option to fill in the blank.
Companies that try to improve employees performane by .............. rewards encourage negative kinds of behaviour instead of ........ a genuine interest in doing the work well.
conferring, discrediting
b)bestowing, discouraging
c)giving, seeking
d)withholding fostering
Choose the correct meaning of the given word.
Debilitate
Argue
b)Engage
c)Soothe
d)Enfeeble
The length and bearings of a closed traverse PQRSP are given below
Line | Length(m) | Bearing(WLB) |
PQ | 200 | \({ 0 }^{ \circ }\) |
QR | 1000 | \({ 45 }^{ \circ }\) |
RS | 907 | \({ 180 }^{ \circ }\) |
SP | ? | ? |
The missing length and bearing, respectively of the line SP are
207m and \({ 270 }^{ \circ }\)
b)707 m and \({ 270 }^{ \circ }\)
c)707 m and \({ 180 }^{ \circ }\)
d)907m and \({ 270 }^{ \circ }\)
A horizontal curve of 480 m radius for 7.5 m two lane road is to be designed for a speed of 80 km/h.The raising of the outer edge of pavement with respect to the centre line to cater the mixed traffic condition is
0.14 m
b)0.22 m
c)0.24 m
d)0.44 m
A 2% solution of sewage sample is kept at an incubation temperature of 200 C. If the inital DO and final DO values after 5 days incubation period are 8.5 mg/L and 5.5 mg/L respectively, then BOD will be
50 mg/L
b)150 mg/L
c)250 mg/L
d)350 mg/L