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(#M40019892) GATE QUESTION parabolas Keep an EYE Keep an eye puzzle Keep an eye puzzle

show that the family of parabolas y2=4a(x+a) is self orthogonal.

Asked In Gate vignesh (12 years ago)
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(#M40019936) GATE QUESTION MATRICES Keep an EYE Keep an eye puzzle Keep an eye puzzle

show that two real symmetric matrices are congruent if and only if they have the same rank and signature?

Asked In Gate vignesh (12 years ago)
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(#M40019946) GATE QUESTION PROBABILITY Keep an EYE Keep an eye puzzle Keep an eye puzzle

A housewife buys a dozen eggs of which two turn out to be bad. She chooses four eggs for breakfast. Find thd chance that she chooses (1) all good eggs (2)three good and one bad (3)two good and two bad (4)at least one bad egg.

Asked In Gate vignesh (12 years ago)
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(#M40040648) GATE QUESTION logic Keep an EYE Keep an eye puzzle Keep an eye puzzle

For 8085 microprocessor, the following program is executed.
MVI A, 05H;
MVI B, 05H;
PTR: ADD B;
DCR B;
JNZ PTR;
ADI 03H;
HLT;
At the end of program, accumulator contains
(A) 17H (B) 20H (C) 23H (D) 05H

Asked In Gate vignesh (11 years ago)
Unsolved Read Solution (2)
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(#M40019924) GATE QUESTION EQUATIONS AND INEQUALITIES Keep an EYE Keep an eye puzzle Keep an eye puzzle

A box of fruits can be loaded in a truck in 9 minutes by a worker, and 8 boxes fill a truck completely. How many trucks can be loaded completely in 1 ½ hours if there are 16 men working together?

Asked In Gate vignesh (12 years ago)
Unsolved Read Solution (5)
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(#M40040651) GATE QUESTION logic Keep an EYE Keep an eye puzzle Keep an eye puzzle

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the
sampling theorem, the sampling frequency which is not valid is
(A) 5 kHz (B) 12 kHz (C) 15 kHz (D) 20 kHz

Asked In Gate vignesh (11 years ago)
Unsolved Read Solution (2)
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(#M40019917) GATE QUESTION ALGEBRA Keep an EYE Keep an eye puzzle Keep an eye puzzle

(a-5)2+(b-c)2+(c-d)2+(b+c+d-9)2=0

then the value of (a+b+c)(b+c+d) is ?

a)0

b)11

c)33

d)99

Asked In Gate vignesh (12 years ago)
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(#M40019932) GATE QUESTION TRIGONOMETRY Keep an EYE Keep an eye puzzle Keep an eye puzzle

sinA + sinB + sinC = 4cosA/2.cosB/2.cosC/2

Asked In Gate vignesh (12 years ago)
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(#M40040649) GATE QUESTION logic Keep an EYE Keep an eye puzzle Keep an eye puzzle

The bit rate of a digital communication system is R kbits/s. The modulation used is 32-QAM. The
minimum bandwidth required for ISI free transmission is
(A) R/10 Hz (B) R/10 kHz (C) R/5 Hz (D) R/5 kHz

Asked In Gate vignesh (11 years ago)
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(#M40019954) MATHS OLYMPIAD QUESTION EQUATION AND INEQUALITIES Keep an EYE Keep an eye puzzle Keep an eye puzzle

In a certain number system 363 + 1056 = 1452. Find the value of (654 - 456) in the same number system?
(a) 156 (b) 165 (c) 178 (d) 198

Asked In Maths Olympiad vignesh (12 years ago)
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