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NIMCET Previous Year Questions (PYQs)

NIMCET Quantitative Aptitude PYQ


NIMCET PYQ
A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is $35\frac{7}{15}$. What was the number erased?





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NIMCET PYQ
In a city, 40.1% of the adults are illiterate while 85.1% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate?





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NIMCET PYQ
A runs $1 \frac{2}{3}$ times as fast as B. If A gives B a start of 80m, how far must the winning post be so that A and B might reach it at the same time?





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NIMCET PYQ
Mr. Kumar drives to work at an average speed of 48 Km/hr. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?





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NIMCET PYQ
Two pipes A and B can fill the cistern in 37.5 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after





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NIMCET PYQ
In a shower, 5 cm of rainfalls. The volume of water that falls on 1.5 hectares of ground is:





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NIMCET PYQ
In a competitive examination in Maharashtra state 9% candidates got selected from the total appeared candidates. Tripura state had an equal number of candidates appeared and 12% candidates got selected with 102 more candidates got selected than Maharashtra state. What was the number of candidates appeared from each state?





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NIMCET PYQ
Shiva gave 40% of his monthly salary to his mother from the remaining he used 7% for electronic gadgets and 23% he kept aside for his monthly expenses. The remaining amount he transferred to his friend’s account. The sum of the amount he gave to his mother and he transferred to his friend account was 41000. What was Shiva’s monthly salary?





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NIMCET PYQ
In the half yearly exam only 60% of the students were passed. Out of these (passed in half-yearly) only 70% students are passed in annual exam, out of remaining students (who fail in half-yearly exam) 80% passed in annual exam. What percent of the students passed the annual exam?





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NIMCET PYQ
In an examination, 78% of the total students who appeared were successful. If the total number of failures was 176 and 34% got first class, then how many students got first class?





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NIMCET PYQ
If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?





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NIMCET PYQ
Ritu purchased 20 dozen of bananas at the rate of Rs. 375 per dozen. she sold each one of them at the rate of Rs. 33. What was her profit percentage?





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NIMCET PYQ
Hemant deposits 10% of his salary in PF. He saves 30% of the remaining salary. The ratio of his expense on medicine and groceries is 3:4 of the remaining salary after saving. If his expense on the medicine was Rs. 2700, then find his monthly salary.





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NIMCET PYQ
Hari invested an amount at a certain rate of interest on simple interest and he got 60% more amount after eight years. If he invests Rs. 9600 at the same rate of interest on simple interest, then find the total interest he would get after four years?





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NIMCET PYQ
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is





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The first number = (1657 - 6) = 1651

Second number = (2037 - 5) = 2032

Taking the HCF of two numbers 1651, 2032 we get 127.

So, if we divide 1657 and 2037 by 127 we will get remainders 6 and 5 respectively.

NIMCET PYQ
Three cities A, B, C are equidistant from each other. A motorist travels from A to B at 30km/hour, from B to C at 40km/hour, and from C to A at 50km/hour. Then the average speed is





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Solution

Let distance is x , 
so 
time t1=x/30, 
t2=x/40 and 
t3=x/50. 
From question same distance so total distance = 3x 
total time = x/30+x/40+x/50 
so 
Average speed = total distance/ total time =3x/(x/30+x/40+x/50)= 1800/47=38.3km/h.

Solution Contribution by Priyanka Soni


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