As you requires I am here giving you sample questions for research Assistance (RA) Written Test of IIT Bombay

RA Written Test IIT Bombay:

If she _______________ how to calibrate the instrument, she _______________ done the
experiment.
(A) knows, will have (B) knew, had
(C) had known, could have (D) should have known, would have
Answer: (C)

Choose the word that is opposite in meaning to the word “coherent”.
(A) sticky (B) well-connected (C) rambling (D) friendly
Answer: (C)

Which number does not belong in the series below?
2, 5, 10, 17, 26, 37, 50, 64
(A) 17 (B) 37 (C) 64 (D) 26
Answer: (C)

A dance programme is scheduled for 10.00 a.m. Some students are participating in the
programme and they need to come an hour earlier than the start of the event. These students
should be accompanied by a parent. Other students and parents should come in time for the
programme. The instruction you think that is appropriate for this is
(A) Students should come at 9.00 a.m. and parents should come at 10.00 a.m.
(B) Participating students should come at 9.00 a.m. accompanied by a parent, and other
parents and students should come by 10.00 a.m.
(C) Students who are not participating should come by 10.00 a.m. and they should not bring
their parents. Participating students should come at 9.00 a.m.
(D) Participating students should come before 9.00 a.m. Parents who accompany them should
come at 9.00 a.m. All others should come at 10.00 a.m.
Answer: (B)

The Gross Domestic Product (GDP) in Rupees grew at 7% during 2012-2013. For
international comparison, the GDP is compared in US Dollars (USD) after conversion based
on the market exchange rate. During the period 2012-2013 the exchange rate for the USD
increased from Rs. 50/ USD to Rs. 60/ USD. India’s GDP in USD during the period 2012-
2013
(A) increased by 5 % (B) decreased by 13%
(C) decreased by 20% (D) decreased by 11%
Answer: (D)

Consider the following statements:
P: Good mobile phones are not cheap
Q: Cheap mobile phones are not good
L: P implies Q
M: Q implies P
N: P is equivalent to Q
Which one of the following about L, M, and N is CORRECT?
(A) Only L is TRUE. (B) Only M is TRUE.
(C) Only N is TRUE. (D) L, M and N are TRUE.

Let G be a group with 15 elements. Let L be a subgroup of G. It is known that L G ¹ and that
the size of L is at least 4. The size of L is _______.
Answer: (5)


Consider the following minterm expression for F.
( ) F P,Q,R,S 0, 2, 5, 7, 8, 10, 13, 15 =
The minterms 2, 7, 8 and 13 are ‘do not care terms. The minimal sum of-products form for F
is
(A) QS QS +
(B) QS QS +
(C) Q R S Q R S QRS QRS + + +
(B) PQS PQS PQS PQS

Consider the following combinational function block involving four Boolean variables x, y, a,
b where x, a, b are inputs and y is the output.
f (x, y, a, b)
{
if (x is 1) y = a;
else y = b;
}
Which one of the following digital logic blocks is the most suitable for implementing this
function?
(A) Full adder (B) Priority encoder (C) Multiplexor (D) Flip-flop
Answer: (C)

Consider the following processors (ns stands for nanoseconds).
Assume that the pipeline registers have zero latency.
P1: Four-stage pipeline with stage latencies 1 ns, 2 ns, 2 ns, 1 ns.
P2: Four-stage pipeline with stage latencies 1 ns, 1.5 ns, 1.5 ns, 1.5 ns.
P3: Five-stage pipeline with stage latencies 0.5 ns, 1 ns, 1 ns, 0.6 ns, 1 ns.
P4: Five-stage pipeline with stage latencies 0.5 ns, 0.5 ns, 1 ns, 1 ns, 1.1 ns.
Which processor has the highest peak clock frequency?
(A) P1 (B) P2 (C) P3 (D) P4


Let A be a square matrix size n n. × Consider the following pseudocode. What is the
expected output?
C = 100;
for i = 1 to n do
for j = 1 to n do
{
Temp = A[ i ] [ j ] + C ;
A [ i ] [ j ] = A [ j ] [ i ] ;
A [ j ] [ i ] = Temp – C ;
}
for i = 1 to n do
for j = 1 to n do
output (A[ i ] [ j ]);
(A) The matrix A itself
(B) Transpose of the matrix A
(C) Adding 100 to the upper diagonal elements and subtracting 100 from lower diagonal
elements of A
(D) None of these
Answer: (A)



The length of the shortest string NOT in the language { } ( ) over a,b S = of the following
regular expression is _________. a*b* (ba)* a*

One of the purposes of using intermediate code in compilers is to
(A) make parsing and semantic analysis simpler.
(B) improve error recovery and error reporting
(C) increase the chances of reusing the machine-independent code optimizer in other
compliers.
(D) improve the register allocation.


Which of the following statements are CORRECT?
1) Static allocation of all data areas by a compiler makes it impossible to implement
recursion.
2) Automatic garbage collection is essential to implement recursion.
3) Dynamic allocation of activation records is essential to implement recursion.
4) Both heap and stack are essential to implement recursion.
(A) 1 and 2 only (B) 2 and 3 only (C) 3 and 4 only (D) 1 and 3 only
Answer: (D)

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