mathewhe/aqua_rat huggingface dataset:
Question: A certain city with a population of 180,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
(A) a) 10,700
(B) b) 15,000
(C) c) 10,900
(D) d) 11,000
(E) e) 11,100
Rationale: Let x = number of people in smallest district
x*1.1 = number of people in largest district
x will be minimised when the number of people in largest district is maximised
10*x*1.1 = 11x = total number of people in other districts
So we have 11x + x = 180k
x = 15,000
Answer : B
Answer: (B) b) 15,000
Question: A ship sails 4 degrees north, then 13 S. then 17 N. then 24 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
(A) 5
(B) 1
(C) 2
(D) 3
(E) None of these
Rationale: Let x = the latitude sought.
Then marking the northings +, and the southings -;
By the statement x + 4 - 13 + 17 - 24 = -11
And x = 5.
Answer A
Answer: (A) 5
Question: In 1990 a total of u earthquakes occurred worldwide, some but not all of which occurred in Asia. If v o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
(A) u/v
(B) v/u
(C) v/(u-v)
(D) u/(u-v)
(E) 1- (v/u)
Rationale: We're given a couple of facts to work with:
1) There were a total of u earthquakes
2) Of those earthquakes, v of them occurred in Asia
We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.
Let's TEST VALUES
u = 5 total earthquakes
v = 2 occurred in Asia
Thus, there were 3 earthquakes that DID NOT occur in Asia....
The answer to the question is 2:3
We just need to plug in the values for u and v and find the match...
Answer A: u/v = 5/2 NOT a match
Answer B: v/u = 2/5 NOT a match
Answer C: v/(u-v) = 2/(5-2) = 2/3 This IS a match
Answer D: u/(u-v) = 5/(5-2) = 5/3 NOT a match
Answer E: 1 - (v/u) = 1-2/5 = 3/5 NOT a match
C
Answer: (C) v/(u-v)
Question: Hannah and Jake race around a running track. Hannah runs at a constant rate of one lap every 2 minutes and Jake runs at a constant rate of one lap every 5 minutes. If they both start at the same time, how many minutes will it take for Hannah to get exactly one lap ahead of Jake?
(A) 3/5
(B) 5/3
(C) 7/3
(D) 10/3
(E) 10/7
Rationale: Let x be the number of minutes it takes for Hannah to get one lap ahead.
Then Hannah ran x/2 laps and Jake ran x/5 laps.
x/2 = 1+x/5
5x=10+2x
3x=10
x=10/3
The answer is D.
Answer: (D) 10/3
Question: Three friends A, B and C decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share 4 time, no apples were left.How many apples were there?
(A) 4098
(B) 4096
(C) 4000
(D) 4090
(E) 4095
Rationale: Whenever the rate of reduction is 'half of the total and half of it', the answer is always (2^n)-1, where 'n' is the number of times the process is repeated. Here, the process is repeated 12 times. So answer is (2^12)-1=4095.
ANSWER:E
Answer: (E) 4095
Question: A car covers a distance of 829 km in 7 hours. Find its speed?
(A) 104 kmph
(B) 289 kmph
(C) 118 kmph
(D) 277 kmph
(E) 177 kmph
Rationale: 829/7
= 118 kmph
Answer: C
Answer: (C) 118 kmph
Question: A 24 month project had a total budget of $44,400. After seventeen months, the project had spent $29,375. At this point, how much was the project under budget?
(A) $1850
(B) $1925
(C) $2000
(D) $2075
(E) $2150
Rationale: Each month, the project should spend $44,400 / 24 = $1850.
In 17 months, the project should spend 17*$1850=$31,450.
The project is under budget by $31,450 - $29,375 = $2075.
The answer is D.
Answer: (D) $2075
Question: The average of 13 numbers is 17.8. If the average of the first seven numbers is 17.6 and that of the last seven numbers is 17.4,then the middle number is?
(A) 11.8
(B) 11.9
(C) 12.2
(D) 13.6
(E) 12.7
Rationale: Middle number = 17.6*7 + 17.4*7- 17.8*13 = 123.2+121.8-231.4=13.6
Answer is D
Answer: (D) 13.6
Question: If $500 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
(A) 500 (1.056)(3)
(B) 500 (3+1.056)
(C) 500 (1+3(0.056))
(D) 500 (1.056)^3
(E) 500 (1+(0.056)^3)
Rationale: the formula is CI=P(1+r/100)^t
in this case i think D is the ans
Answer: (D) 500 (1.056)^3
Question: 20% of incoming freshman at a certain university have taken a calculus course. Among the incoming freshman who have not taken a calculus course, 148 have taken a pre-calculus course and 44 havent taken a precalculus couse. how many incoming freshman are there in the university?
(A) 60
(B) 120
(C) 180
(D) 240
(E) 300
Rationale: Soln:-
let the total incoming freshman be x.
given 20x/100 have taken calculus 1.
80x/100 have not taken calculus 1.
also given 80x/100 = 148+44
=> x = 240
ANSWER:D
Answer: (D) 240
Question: 6 friends go out to dinner at Outback Steakhouse. The total of their meal comes to 118.60 without a tip. They decide to leave a 20% tip to the waitress. They want to split the costs if the bill including the tip evenly among them. How much does each person have to pay if the bill is split evenly?
(A) 19.77
(B) 71.16
(C) 18.6
(D) 23.72
(E) 42.32
Rationale: The amount of the tip= 118.60*.20=23.72
118.60+23.62= 142.32 = amount of bill after the tip
142.32/6=23.72= amount each person must pay
The answer is D.
Answer: (D) 23.72
Question: How many words can be formed by using all letters of the word “BIHAR”
(A) 240
(B) 175
(C) 120
(D) 132
(E) 451
Rationale: The word BIHAR contains 5 different letters.
Required number of words = 5p5 = 5! = (5x4x3x2x1) = 120
Ans: C
Answer: (C) 120
Question: A number x is multiplied by 5, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?
(A) 25/9
(B) 9/5
(C) 5/3
(D) 3/5
(E) 9/25
Rationale: sqrt(5x/3) to be perfect square x has to 5/3
Ans: C
Answer: (C) 5/3
Question: The average earning of a mechanic for the first 4days of a week is Rs.18 and for the last four days is Rs.22. If he earns Rs.20 on the fourth day, his average earning forthe whole week is?
(A) Rs. 10
(B) Rs. 20
(C) Rs. 30
(D) Rs. 40
(E) Rs. 50
Rationale: Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day
= 4 x18 + 4 x 22 -20
= Rs. 140
∴ Average earning = 140 / 7
= Rs. 20
B
Answer: (B) Rs. 20
Question: Jar A has 26% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles?
(A) 7.6%
(B) 8.3%
(C) 9.6%
(D) 10.3%
(E) 11.5%
Rationale: An easy way to solve this question is by number plugging. Assume there are 100 marbles in Jar B then in Jar A there will be 126 marbles. Now, for both jars to have equal marbles we should move 13 marbles from A to B, which is 13/126=~10.3% of A.
Answer: D.
Answer: (D) 10.3%
Question: Mary’s father is four times as old as Mary. Five years ago he was seven times as old. How old is mary?
(A) 6
(B) 8
(C) 10
(D) 12
(E) 15
Rationale: The problem involves age.
The question asks, “How old is each now?”, which means it’s asking for the ages of both
Mary and her father.
Let x Mary’s current age
4x Mary’s father’s current age
x-5 Mary’s age 5 years ago
4x-5 Mary’s father’s age 5 years ago
The problem states that 5 years ago, Mary’s father’s age 4x-5 was equal to seven
times Mary’s age7(x-5)
Write the equation.
4x-5=7(x-5)
4x-5=7x-35
30=3x
x=10
4x=40
Mary’s current age is 10 years old
correct answer C
Answer: (C) 10
Question: 9log9(5) = ?
(A) 1
(B) 2
(C) 3
(D) 5
(E) 8
Rationale: Exponential and log functions are inverse of each other. Hence
aloga(x) = x , for all x real and positive.
and therefore
9log9(5) = 5
correct answer D
Answer: (D) 5
Question: The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.10 in 1970 was 150 percent of its price in 1960, what was its price in 1980?
(A) a) $ 1.65
(B) b) $ 2.00
(C) c) $ 2.40
(D) d) $ 2.70
(E) e) $ 3.00
Rationale: The price in 1970 was 150 percent of its price in 1960, means that the percent increase was 50% from 1960 to 1970 (and from 1970 to 1980).
Therefore the price in 1980 = $1.1*1.5 = $1.65.
Answer: A.
Answer: (A) a) $ 1.65
Question: There are 10 oranges on a table, and a pair of oranges is to be selected. At most, how many different pairs are possible?
(A) 100
(B) 90
(C) 50
(D) 45
(E) 25
Rationale: N=10C2=10!/(8!2!)=10*9/2=45
Correct Answer: D
Answer: (D) 45
Question: Tary spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
(A) $30
(B) $35
(C) $70
(D) $105
(E) $210
Rationale: Tary spent 2⁄5 of her money on new clothes but if you see 21 is half of 3/5 money so 210 is too huge to be correct..
solution..
let the money be x..
2/5 is used...
1/2 of remaining 3/5 is put in savings account and remaining half is 21..
so 1/2 * 3/5 *x=21..
x=21*2*5/3=70..
C
Answer: (C) $70
Question: John deposited $10,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
(A) $10,101
(B) $10,609
(C) $10,209
(D) $10,601
(E) $10,404
Rationale: 12 percent annual interest compounded quarterly --> 3% in 3 moths.
For the first 3 moths interest was 3% of $10,000, so $300;
For the next 3 moths interest was 3% of $10,000,plus9 earned on previous interest of $100, so $300+$9=$309;
Total interest for 6 months was $300+$309=$609, hence balance after 6 months was $10,000+ $609=$10,609.
Answer: B.
Answer: (B) $10,609
Question: 10 men,working 6 hours a day can complete a work in 18 days.How many hours a day must 15 men work to complete the same work in 12 days ?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: Solution
Let the required number of hours per day be x.
More men,Less hours per day (Indirect Proportion)
Less days,More hours per day (Indirect Proportion)
∴ 15 × 12 × x = 10 × 18 × 6 ⇔ x = 10x18x6/15x12 = x= 6. Answer A
Answer: (A) 6
Question: How many positive 5-digit integers have the odd sum B of their digits?
(A) 9*10^2
(B) 9*10^3
(C) 10^4
(D) 45*10^3
(E) 9*10^4
Rationale: We are looking at numbers between 10000 and 99999 both inclusive.
There are 90000 numbers.
Now for
10000 : sum of digits is odd;
10001 :sum of digits is even;
10002 : sum of digits is odd ; so on and so forth. So every alternate number is such that the sum of digit is odd.
(Exception for the above statement :
When it is 10009 the sum is even and for 10010 again the sum is even; But if you look at 10019 :sum is odd; 10020 : sum is odd
and this pattern continues so basically the number of odd sum of digits and even sum of digits are equal)
This means exactly half of the numbers will have odd sum of their digits. i.e 45000
Answer :D
Answer: (D) 45*10^3
Question: In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 15, what is the greatest possible value of B x A?
(A) 0
(B) 15
(C) 25
(D) 30
(E) 35
Rationale: I also was confused when I was looking forabove number:D
As far as I understood, 15 is a factor of AB. In other words, the values of B (units digits can be 5 or 0. Better to have option for 5 in this case to havebigger result). Now let's try 15x1 (A=1, B=5 respectively we have =5). To ensure, let's check (avoid even multiples of 2,4,6,8 etc (we will have 0 in units thus making our result 0)
15x3 = 45 (A=4 B=5 respectively. Hey! that's 20. But we don't have this number in answer choices, move on).
15x5= 75 (A=7, B=5 respectively. Increasing trend , we have 35 now)
15x7= 105 (A=0, B=5. Have 0 now. can create a pattern)
IMO E.
Answer: (E) 35
Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
(A) 228
(B) 108
(C) 1266
(D) 188
(E) 211
Rationale: S = 180/6 * 18/5 = 108 kmph
Answer: B
Answer: (B) 108
Question: How many 5-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?
(A) 1236
(B) 3024
(C) 4096
(D) 4608
(E) 36864
Rationale: First digit.. 9 posibilities
Second digit, 8 possibilities
third digit, 8 possibilities
Fourth digit, 8 possibilities.
9*8*8*8*8 = 36,864.
E
Answer: (E) 36864
Question: What is the product of all the possible values of x if x^2 - 2x - 8?
(A) –29
(B) –12
(C) -8
(D) 29
(E) 168
Rationale: Explanation:
=> y= x^2 - 2x - 8
=> y= (x+2) (x-4)
=> x= -2, y= 4
Product x = (-2)(4) = -8
answer option -8
ANSWER:C
Answer: (C) -8
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 12 hours, how many machines of type R were used?
(A) 1
(B) 4
(C) 6
(D) 9
(E) 12
Rationale: Rate of machine R =1/36
Rate of machine S =1/18
since same no of machines used for R and S to do the same work in 12 hrs
So collective rate needed to finish the work in 12 hrs= 1/12
Let the no of machine be x
So, x/36 +x/18 =1/12
x3/36=1/12
x=1
So no of machine R is 1
Answer A
Answer: (A) 1
Question: A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on thediscounted price. If a staff member buysthe dress what will she have to pay in terms of X?
(A) 0.555X
(B) 0.667X
(C) 0.765X
(D) 0.905X
(E) 1.234X
Rationale: If the price is reduced by 15 %, then the new price will be 0.85D
If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85X = 0.765X
C
Answer: (C) 0.765X
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 300. Find the total worth of the stock?
(A) 20029
(B) 20000
(C) 20289
(D) 20027
(E) 15000
Rationale: Let the total worth of the stock be Rs. x.
The SP of 20% of the stock = 1/5 * x * 1.1 = 11x/50
The SP of 80% of the stock = 4/5 * x * 0.95 = 19x/25 = 38x/50
Total SP = 11x/50 + 38x/50 = 49x/50
Overall loss = x - 49x/50 = x/50
x/50 = 300 => x = 15000
Answer: E
Answer: (E) 15000
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
(A) 110.12 meters
(B) 111.12 meters
(C) 112.12 meters
(D) 113.12 meters
(E) 115.12 meters
Rationale: Explanation:
A runs 1000 meters while B runs 900 meters and C runs 800 meters.
Therefore, B runs 900 meters while C runs 800 meters.
So, the number of meters that C runs when B runs 1000 meters = (1000 x 800)/900 = 8000/9 = 888.88 meters
Thus, B can give C (1000 - 888.88) = 111.12 meters start
ANSWER IS B
Answer: (B) 111.12 meters
Question: A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
(A) 240 mts
(B) 270 mts
(C) 260 mts
(D) 250 mts
(E) 230 mts
Rationale: Explanation:
Relative speed = 120 + 80 = 200 km/hr.
= 200 x 5/18 = 500/9 m/sec.
Let the length of the other train be L mts.
Then, (L + 260)/9 = 500/9 => L = 240 mts.
ANSWER IS A
Answer: (A) 240 mts
Question: A futsal team that must consists of 5 players is to be formed from a pool of 7 players. How many different teams are possible?
(A) 18
(B) 8
(C) 12
(D) 20
(E) 21
Rationale: Note that the team must consist of 5 members, not at least 5 members. Hence, all you have to do is 7C5 = 21
Answer (E)
Answer: (E) 21
Question: A baker charges M dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Rationale: We're told that by selling cakes at M dollars/cake, a baker will make $320.
Reducing the price by 20% and selling 2 MORE cakes will also make her $320.
We're asked for the original number of cakes that the baker intends to sell.
$320 is a rather interesting number. Based on the answer choices, we're almost certainly dealing with integer values for the number of cakes AND the price per cake. As such, 6 is probably NOT going to be part of the solution (either as 4 and 6 cakes or as 6 and 8 cakes). As such, we can avoid Answers B and C....
Let's TEST ANSWER D: 8 cakes
IF....
Original cakes = 8
8(M) = $320, so M = $40/cake
20% off = $8 off = 40-8 = $32/cake
+2 more cakes = 8+2 = 10 cakes
10(32) = $320
This is an exact MATCH for what we were told, so this MUST be the answer.
Final Answer:
D
Answer: (D) 8
Question: In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 2:5, If Rs 15,000 was their profit, how much amount did B receive.
(A) 1950
(B) 6895
(C) 4879
(D) 8126
(E) 6250
Rationale: Explanation:
A:B = 2:5 = 2:5
=> A:C = 2:1 = 2:1
=> A:B:C = 6:5:1
B share = (5/12)*15000
= 6250
Option E
Answer: (E) 6250
Question: You need to pick any number from '1, 3, 5, 7, 9, 11, 13 and 15' to make below equation true.
( ) + ( ) + ( ) = 30
Can you solve it ?
(A) 29
(B) 30
(C) 31
(D) 32
(E) 33
Rationale: Solution:
3! + 15 + 9 = 30
Explanation:
3! = 3 * 2 * 1 = 6
6 + 15 + 9 = 30
Answer B
Answer: (B) 30
Question: If there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?
(A) 3⁄20
(B) 11⁄60
(C) 9⁄40
(D) 1⁄10
(E) 11⁄20
Rationale: Consider a group of 100 men and 300 women, a total of 400 people. 30% of them, which is 120, form a group of people who don't own a car.
Half of them are men, and the other half are women, more precisely 60.
It means that there are 100 - 60 = 40 men who own a car, and this represents 40/400 = 1/10 of the total.
Answer D
Answer: (D) 1⁄10
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
(A) 16 2/3 days
(B) 13 1/3 days
(C) 17 1/3 days
(D) 16 1/2 days
(E) 17 days
Rationale: 5/30 + 20/x = 1
x = 24
1/30 + 1/24 = 3/40
40/3 = 13 1/3 days
ANSWER:B
Answer: (B) 13 1/3 days
Question: The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 70 kmph its consumption is 1 litre per hour. if each litre costs $70 and other expenses per hous is $ 70, then what would be the minimum expenditure required to cover a distance of 700 Km?
(A) 1000
(B) 1500
(C) 1240
(D) 1630
(E) 1400
Rationale: 70 kmph consumption is 1 lt/hr
so 700 km will take 10 hrs and the consumption is 10 lt for entire distance.
1 lt costs $70
so 10 lt costs $700
extra expenses for 1 hr - $70
10 hrs - $700
total expense - $700 + $700 = $1400
Answer : E
Answer: (E) 1400
Question: If |x| = 5x - 3, then x = ?
(A) 1
(B) 1/2
(C) 2
(D) -1/2
(E) -1
Rationale: Answer: A
Approach:
Substituted option A i.e x=1. Inequality satisfied.
C
Answer: (C) 2
Question: A sum of money place at compound interest doubles itself in 7 years. In how many years will it amount to eight times itself?
(A) 15 years
(B) 11 years
(C) 12 years
(D) 18 years
(E) 21 years
Rationale: 100 ---- 200 ---- 7
400 ---- 7
800 ---- 7
------
21 years
Answer: E
Answer: (E) 21 years
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY5?
(A) 12/15
(B) 5/6
(C) 4/5
(D) 7/3
(E) 2/7
Rationale: If a number is divisible by 5 the last 1 digits of the number has 5.
If the number ends with 15: Number of possibilities = 4*3 * 2 * 1 = 24
number ends with 25: Possibilities = 4*3 * 2 * 1 = 24
number ends with 35: Possibilities =24
number ends with 45: Possibilities =24
Total number of possibilities with restriction = 24*4= 96
Total number of possibilities without restriction = 5! = 120
Probability = 96/120 = 12/15
Answer: A
Answer: (A) 12/15
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
(A) 150
(B) 997
(C) 266
(D) 288
(E) 271
Rationale: (60/100) * X – 40 = 50
6X = 900
X = 150
Answer:A
Answer: (A) 150
Question: Kid have 8 black balls and 8white balls. He is trying to arrange a ball in a row then in how many ways can he arrange these balls in a row so that balls of different colors alternate?
(A) (8!)^2
(B) 2×(8!)
(C) 2×(8!)^2
(D) 2^2
(E) 3×(6!)^2
Rationale: 8 black balls can be arranged in 8! ways ...(A)
Now we need to arrange white balls such that white balls and black balls are positioned alternatively. i.e., we can arrange 8 white balls either in the 8 positions marked as A,B,C,D,E,F,G,H or in the 8 positions marked as B,C,D,E,F,G,H,I as shown below.
8 white balls can be arranged in the 8 positions marked as A,B,C,D,E,F,G,H in 8! ways.
8 white balls can be arranged in the 8 positions marked as B,C,D,E,F,G,H,I in 8! ways.
8 white balls can be arranged in the 8 positions marked as A,B,C,D,E,F,G,H or in the 8 positions marked as B,C,D,E,F,G,H,I in 8!+8!=2×8! ways ...(B)
From (A) and (B),
required number of ways =8!×2×8!=2×(8!)^2
C
Answer: (C) 2×(8!)^2
Question: The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 4 to 6. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12
Rationale: Since it is given that the ratio of boys to girls in Class A is 3 to 4 - so we can quickly eliminate the answer choices which are not multiples of 4.
so ans can either be 8 0r 12.
With 8 as answer - no of girls = 8
With 12 as answer - no of girls = 12
Now Class A has one more boy and two more girls than class B and also the ratio of boys to girls in Class B is 4 to 5.
So we are looking for number of girls in B to be divisible by 5.
With 8 as answer -> Girls = 8-2 = 6. (Not possible)
With 12 as answer -> Girls = 12-2 = 5.
So, answer = 11. ( D)
Answer: (D) 11
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
(A) 8000
(B) 8877
(C) 2877
(D) 2678
(E) 1011
Rationale: 8820 ---- 441
100 ---- ? => 5%
x *105/100 * 105/100 = 8820
x*1.1025=8820
x=8820/1.1025 => 8000
Answer: A
Answer: (A) 8000
Question: According to a recent student poll, 4/5 out of 25 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
(A) 29/30
(B) 4/49
(C) 2/7
(D) 45/49
(E) 13/14
Rationale: 20 students are interested, 5 are not interested
Prob = 1 - 5C2/25C2 = 1 - (5*4/(25*24))=1 - 1/30 = 29/30
Answer : A
Answer: (A) 29/30
Question: A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
A. 63 B. 28?
(A) 11
(B) 28
(C) 16
(D) 19
(E) 10
Rationale: Required number of trees
= 24/36 * 42 = 28.
Answer: B
Answer: (B) 28
Question: Which of the following could be the value of x, if |6x – 14| = 2x+2?
(A) –3/2
(B) –4
(C) 1
(D) 2/3
(E) 4
Rationale: |6x – 14| = 2x + 2
=>6x - 14=2x + 2
or 6x - 14 = -2x - 2
=> 4x = 16 or 8x = 12
=> x = 4 or x = 12/8=3/2
Answer E
Answer: (E) 4
Question: 3034 - (1002 / 20.04) = ?
(A) 2984
(B) 2983
(C) 2982
(D) 2981
(E) None of these
Rationale: Option A
Answer: (A) 2984