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NIMCET 2010 #1
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When you reverse the digits of the number 13, the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed?
NIMCET 2010 #2
Divide Rs. 1074 (in whole Rs., having incremental amounts) into a number of bags so that any amount between Rs. 1 and Rs. 1074 can be given by selecting some bags without opening them. What is the minimum number of bags required?
NIMCET 2010 #3
A man walks down an escalator.
If he walks down 26 steps, he takes 30 seconds.
If he walks down 34 steps, he takes 18 seconds.
Time is measured from when the top step begins to descend until he steps off at the bottom.
What is the height of the stairway in steps?
NIMCET 2010 #4
Rajita has unique way of attempting the question paper having 50 questions. She starts from question 1 and attempts all questions which are in A.P. with a common difference of 3 in the forward direction and 3 in reverse direction. If she reaches a stage when she cannot attempt any more question, she starts in the reverse direction with the first unanswered question. She repeats the same process and when she reaches a stage when she can not process any further, she reverses her direction again starting with the first unanswered question.
How many times does she reverse her direction?
NIMCET 2010 #5
Rajita has unique way of attempting the question paper having 50 questions. She starts from question 1 and attempts all questions which are in A.P. with a common difference of 3 in the forward direction and 3 in reverse direction. If she reaches a stage when she cannot attempt any more question, she starts in the reverse direction with the first unanswered question. She repeats the same process and when she reaches a stage when she can not process any further, she reverses her direction again starting with the first unanswered question.
Which is the 20th question Rajita answers?
NIMCET 2010 #6
Rajita has unique way of attempting the question paper having 50 questions. She starts from question 1 and attempts all questions which are in A.P. with a common difference of 3 in the forward direction and 3 in reverse direction. If she reaches a stage when she cannot attempt any more question, she starts in the reverse direction with the first unanswered question. She repeats the same process and when she reaches a stage when she can not process any further, she reverses her direction again starting with the first unanswered question.
Which is the last question that she answers if she attempts all the 50 questions?
Which is the last question that she answers if she attempts all the 50 questions?
NIMCET 2010 #7
A motorboat going downstream passes a raft at point A. Exactly one hour later it turned back and while coming upstream it passed the same raft at point B, 6 km from point A. What is the speed of the water current in km/hr?
NIMCET 2010 #8
How long would it take you to count 1 billion orally if you could count 200 every minute and were given a day off every four years? Assume that you start counting on 1 January 2001.
NIMCET 2010 #9
Using the digits 1,5,2,8 all possible four digit numbers are formed and the sum of all such numbers is between
NIMCET 2010 #10
A teacher gave a student the task of adding ‘N’ natural numbers starting from 1. After a while, the student reported his result as 700. The teacher replied that the result was wrong. The student realized he had added one number twice. Find the sum of digits of the number which the student had added twice.
NIMCET 2010 #11
A and B throw a die in succession to win a bet with A starting first.
Whoever throws ‘1’ first wins Rs. 110.
What are the respective expectations of A and B?
NIMCET 2010 #12
Arrange statements P, Q, R, S logically:
P: The logic that underlines this is two-fold.
Q: RBI is likely to cut bank rate and CRR.
R: Over the last few years, RBI has tried to implement policy changes.
S: According to sources, bank rate will be out in April.
NIMCET 2010 #13
NIMCET 2010 #14
NIMCET 2010 #15
A train travels 60 km, then due to an accident runs at $\dfrac{3}{4}$ of its former speed and reaches 40 minutes late.
If the accident had occurred 25 km later, it would be 10 minutes earlier.
Find the original speed and distance.
NIMCET 2010 #16
NIMCET 2010 #17
If all digits 6 in the numbers from 1 to 100 are replaced by 9,
by how much does the algebraic sum change?
NIMCET 2010 #18
Computer A takes 3 minutes per input.
Computer B takes 5 minutes per input.
Let C take x minutes per input.
Together A + B + C process:
14 inputs per hour = $\dfrac{14}{60}$ inputs per minute.
NIMCET 2010 #19
If A1 = {3}, A2 = {5, 7, 9}, A3 = {11, 13, 15, 17, 19}, A4 = {21, 23, 25, 27, 29, 31, 33} and so on, what is the average of the numbers of the set A20?
NIMCET 2010 #20
Reena met Natasha’s children. Rahul said,
“The square of my age plus the cube of my sister’s age is 7148.”
Preeti said,
“The square of my age plus the cube of his age is 5274.”
NIMCET 2010 #21
Bala had three sons. He had some chocolates which he distributed among them. To his eldest son, he gave 3 chocolates more than half the number of chocolates with him. To his second eldest son he gave 4 chocolates more than one third of the remaining number of chocolates with him. To his youngest son he gave 4 chocolates more than one fourth of the remaining number of chocolates with him. He was left with 11 chocolates. How many chocolates did he initially have?
NIMCET 2010 #22