1) A city had a population of 30,00,000 in the beginning of 1999. Its average growth rate is 4% per year, but due to a massive earthquake in 2001, its population is reduced by 8% in that year. However, it again maintained the same growth rate of 4% in following years. What will be the approximate population of the city at the end of 2003?

• (a) 32,06,460
• (b) 34,68,420
• (c) 31,52,360
• (d) 32,28,810

2) Rajesh Raj has ₹90,000 with him. He purchases a Bike, a home theatre, and a flat TV for ₹15,000, ₹13,000, and ₹35,000 respectively, and puts the remaining money in his bank account which pays 15% per annum Compound Interest. After 2 years, he sells off the three items at 80% of their original price and also withdraws his entire money from the bank by closing the account. What is the total change in his asset?

• (a) -4.5%
• (b) +3.5%
• (c) -4.32%
• (d) +5.5%

3) After three successive raises, Aftab’s salary became equal to \( \frac{378}{125} \) of his initial salary. By what percentage was the salary raised the first time if the third rise was twice as high (in percentage) as the second rise and the second raise was twice as high (in percentage) as the first rise?

• (a) 10%
• (b) 15%
• (c) 20%
• (d) 25%

4) A’s income is 60% of B’s income, and A’s expenditure is 70% of B’s expenditure. If A’s income is 75% of B’s expenditure, then find the ratio of A’s savings to B’s savings.

• (a) 5 : 1
• (b) 1 : 5
• (c) 3.5 : 1
• (d) 2 : 7

5) In an election for the post of class representative at Pitampura Centre where two candidates were contesting, 10% of the students did not vote and 60 votes recorded were declared invalid. Winning candidate won the election by 308 votes and it was found that he had been supported by 47% of the whole students of the class. What is the number of valid votes recorded for each candidate?

• (a) 2308, 2000
• (b) 2904, 2596
• (c) 2914, 2606
• (d) 2464, 2772

6) There are fifty successive percentage discounts given in a series of 2%, 4%, 6%, 8%... and so on. What is the net discount?

• (a) 98%
• (b) 2550%
• (c) 100%
• (d) Infinite

7) In the above Question, after how many such percentage discounts in succession will the effective discount be higher than 50%?

• (a) 7th
• (b) 8th
• (c) 9th
• (d) 10th

8) My Alliance India phone bill for the month of May is ₹B. On top of this, there is a service tax of S%, which has to be levied upon this value. However, since they are having a guilt feeling of overcharging their customers fraudulently, they offer a discount of D% also on top of this. So, my billing goes like this:

₹B → S% ↑ → D% ↓ → Final Bill

But surprisingly, my final bill is equal to ₹B itself. Now, which of the following is true regarding S and D (assume all values to be positive)?

• (a) S > D
• (b) S = D
• (c) D > S
• (d) Cannot be determined

9) Ravi Shankar wishes to buy an air conditioner (AC) with the money in the bank, which currently is earning interest at the rate of 15% p.a compounded annually. However, Tanzar, his friend, forecasts that the inflation rate applicable to AC is going to be 14%, 15%, and 16%, respectively, for the next 3 consecutive years and advises Ravi Shankar to postpone the purchase by 3 years. Does Ravi Shankar gain monetarily, if he takes Tanzar’s advice?

• (a) Yes
• (b) No
• (c) He neither gains nor loses
• (d) He gains only if the purchase is made in the second year

10) In the recently concluded referendum in New York, regarding calling back US troops from Iraq, 600 people voted on a referendum, but after some discussion, the opponents increased by 150%. The motion was then rejected by a majority two times as great as that by which it was formerly passed. How many people voted against the initial referendum?

• (a) 400
• (b) 300
• (c) 200
• (d) 500

11) The number of students present in the class of Manoj Yadav is M, and out of those M students, 22.1875% are stupids. If the number of stupids in the class is N, then what can be the minimum value of M + N?

• (a) 1,955
• (b) 391
• (c) 16,200
• (d) 12,21,785

12) There are five contestants A, B, C, and D in the assembly election from the Bihar Sharif constituency. It is given that none of the contestants got less than 1% of the valid vote. Consider the following statements in isolation to each other:
(i) A got 49% of the total valid votes.
(ii) B got 55% of the total votes.
(iii) C got 46% of the total valid votes.
(iv) D got 48% of the total valid votes.
With how many of the following statements when used independently, is it possible to find out the winner of the election?

• (a) 0
• (b) 1
• (c) 2
• (d) 3

13) For admission in a graduation program of Delhi University, 90% of the candidates who appeared for the written test were males and the rest were females; 60% of the males and 80% of the females passed in the written test. Find the total number of students who appeared for the written test, if the total number of passed candidates was 1240.

• (a) 2500
• (b) 2000
• (c) 2750
• (d) 3500

14) In Patna University, out of every 7 students learning Science subject, 3 take literature as well; for every student taking at least one of these two courses, there are 3 students who take up neither. If 10% of the students take only Science, then the percentage of students who have taken Science is:

• (a) 17½%
• (b) 23⅓%
• (c) 7½%
• (d) Cannot be determined

15) A thousand people voted on a resolution with 10% of the votes being invalid. After some discussion 1000 people voted again. This time there were 20% invalid votes. The opponents were increased by 50% while the motion was now rejected by a majority, which is 300% more than it was formerly passed by. How many people voted against the resolution after the discussion?

• (a) 400
• (b) 200
• (c) 300
• (d) 500

16) Nitish was to get a 50% hike in his pay but the computer operator wrongly typed the figure as 80% and printed the new pay slip. He received this revised salary for three months before the organization realized the mistake. What percentage of his correct new salary will he get in the fourth month, if the excess paid to him in the previous three months is to be deducted from his fourth month?

• (a) 20%
• (b) 25%
• (c) 40%
• (d) 33⅓%

17) The pollution in normal atmosphere is less than 0.01%. Due to leakage of methyl isocyanide (MIC) from a factory, the pollution is increased to 20%. If every day 80% of the pollution in the atmosphere is neutralized, in how many days will the atmosphere become normal?

• (a) 5 days
• (b) 3 days
• (c) 4 days
• (d) None of these

18) The marks obtained by Arpit in English, Maths, Science, and Hindi in Class 10 are as follows (Maximum marks per subject = 100):

• (a) The marks obtained in Maths is 1.5 times the marks obtained in English.
• (b) Arpit got 64% in these four subjects.
• (c) Arpit got the maximum and minimum marks in Science and Hindi, respectively, with a difference of 48 marks between them.
• (d) An addition of 50% of the marks obtained in English to the final score gives an overall percentage of 70%.

What would be his percentage of marks if only Maths and Science marks are counted?

• (a) 14
• (b) 82
• (c) 84
• (d) 86

19) Amul, Binit, and Chand start a business by investing ₹70,000 that earns them a profit of ₹42,000 at the end of the year. Amul invests his share in the profit in a scheme that gives him 10% interest compounded annually and Binit invests his share in a scheme that gives him 20% interest compounded annually. Amul gets ₹2520 as interest at the end of 2 years and Binit gets an interest of ₹4200 at the end of one year. Find Chand’s investment in the business.

• (a) ₹160,000
• (b) ₹15,000
• (c) ₹17,520
• (d) Cannot be determined

20) The population of towns A and B is in the ratio of 1:4. For the next 2 years, the population of A would increase and that of B would decrease by the same percentage every year. After 2 years, their population became equal. What is the percentage change in the population?

• (a) 33.33%
• (b) 66.66%
• (c) 25%
• (d) Not possible