mathewhe/aqua_rat huggingface dataset:
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
(A) 59020
(B) 59299
(C) 59020
(D) 59300
(E) 59008
Rationale: Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.
Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.
Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)
Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.
Income of A = Twice the income of B
(2500 + 18000 + P) = 2(P)
P = 20500
Total profit = 2P + 18000
= 2*20500 + 18000 = 59000
Answer: D
Answer: (D) 59300
Question: What is the perimeter of a square field whose diagonal is 8√2?
(A) 17 min
(B) 19 min
(C) 18 min
(D) 20 min
(E) 12 min
Rationale: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.
Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.
stoppage time = 20/60 hrs
=20 min.
Answer: D
Answer: (D) 20 min
Question: 100 people are attending a newspaper conference. 45 of them are writers and more than 36 are editors. Of the people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number of people who are both writers and editors?
(A) 26
(B) 24
(C) 18
(D) 20
(E) 22
Rationale: {Total}={Writers}+{Editors}-{Both}+{Neither}.
{Total}=100;
{Writers}=45;
{Editors}>38;
{Both}=x;
{Neither}=2x;
100=45+{Editors}-x+2x --> x=55-{Editors}. We want to maximize x, thus we should minimize {Editors}, minimum possible value of {Editors} is 37, thus x={Both}=55-37=18.
Answer:C .
Answer: (C) 18
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 111. What is that number?
(A) 12
(B) 29
(C) 27
(D) 16
(E) 99
Rationale: Explanation:
Let the number be x.
Therefore,
3(2x + 5) = 111
6x + 15 = 111
6x = 96
x = 16
ANSWER:D
Answer: (D) 16
Question: Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 140 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from
(A) 30 to 70
(B) 70 to 100
(C) 90 to 110
(D) 130 to 150
(E) 150 to 170
Rationale: if there are 140 students majoring in electrical then there must be 60 person not majoring electrical at all, since both of the student not majoring electrical and mechanical is at least 30, so the number of the student who are not majoring electrical but majoring mechanical will be at least 30.
if there are 150 students majoring in mechanical there must be 50 students who are not majoring mechanical at all, since the number of the student who are not majoring electrical but majoring mechanical will be at least 30, hence the number of students both majoring mechanical and electrical will be at least 90
so there must be at least 90 students who major in both
see the answers option the only possible answer is C !
Answer: (C) 90 to 110
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 600 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
(A) 2880.
(B) 4860.
(C) 5780
(D) 4320
(E) 6380.
Rationale: Normal Day = 600 kw/h
Stormy Day = 600*1.2=720 kw/h
3 windmills for 2 hours on stormy day
720*3*2=4320
Answer: D
Answer: (D) 4320
Question: What is the total number of prime numbers less than 65?
(A) 17
(B) 18
(C) 19
(D) 20
(E) 21
Rationale: Solution
Prime numbers less than 65 are	=18.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61
Their number is 18.
Answer B
Answer: (B) 18
Question: A, B, C together started a business. A invested Rs.400 for 5 months B invested Rs.1200 for 6 months and C Rs.1600 for 3 months. If they get a total profit of Rs.7000. Find the share of A?
(A) 2999
(B) 3000
(C) 2777
(D) 500
(E) 17212
Rationale: 1*5:3*6:4*3
5: 18: 12
5/35 * 3500 = 500
Answer:D
Answer: (D) 500
Question: In the equation ax^2 + bx + c = 0 a, b, and c are constants, and abc # 0. If one root of the equation is -2, and b = 4a then which of the following is c equal to?
(A) a/12
(B) a/8
(C) 4a
(D) 8a
(E) 12a
Rationale: The sum of the roots is = -b/a = -4a/a = -4. Let the other root be x. Thus, x-2 = -4
x = -2. Again, the product of the roots is -2*-2 = 4. Thus, c/a =4. c = 4a.
C.
Answer: (C) 4a
Question: 12 : 6 seconds :: ? : 8 minutes
(A) 10
(B) 15
(C) 16
(D) 25
(E) 30
Rationale: 12*8=6*x
x=16
ANSWER:C
Answer: (C) 16
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
(A) 1/4
(B) 1/2
(C) 3/4
(D) 3/5
(E) None of these
Rationale: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.
ANSWER:B
Answer: (B) 1/2
Question: There were totally 100 men.80 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married?
(A) 10
(B) 12
(C) 13
(D) 14
(E) 15
Rationale: 100-(100-80)-(100-75)-(100-85)-(100-70)= 100-20-25-15-30=100-90=10
ANSWER:A
Answer: (A) 10
Question: A number when divided by 296 leaves 75 as remainder when the same number is divided by 37 then the remainder will be?
(A) 2
(B) 9
(C) 6
(D) 5
(E) 1
Rationale: let x=296q+75=(37*8q+37*2)+1
37*(8q+2)+1
thus when the number is divided by 37 the remainder is 1
Answer(E)
Answer: (E) 1
Question: A university needs to select a nine-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committee are possible?
(A) 44
(B) 55
(C) 66
(D) 77
(E) 88
Rationale: student government + the student advisory board consists of 9 + 8 = 17 members.
6 students hold membership in both, so they were counted twice.
The total number of people to choose from is 17 - 6 = 11
The number of ways to choose 9 members from 11 is 11C9 = 55
The answer is B.
Answer: (B) 55
Question: If a coin is flipped, the probability that the coin will land tails is 1/2. If the coin is flipped 4 times, what is the probability that it will land tails up on the first 2 flips and not on the last 2 flips?
(A) 1/4
(B) 1/8
(C) 1/2
(D) 1/16
(E) 1/32
Rationale: (1/2) * (1/2) * (1/2) * (1/2) = 1/16 Answer: D
Answer: (D) 1/16
Question: 12.036 divided by 0.04 gives :
(A) 30.09
(B) 300.9
(C) 30.06
(D) 100.9
(E) 300.6
Rationale: = 12.036/0.04
= 1203.6/4
= 300.9
Answer is B.
Answer: (B) 300.9
Question: Arrange the given words in the sequence in which they occur in the dictionary and choose the correct sequence.
1. Economic
2. Earlier
3. Each
4. Edition
5. Eager
(A) 3, 4, 1, 5, 2
(B) 2, 1, 3, 5, 4
(C) 3, 2, 4, 1, 5
(D) 3, 5, 2, 1, 4
(E) None of these
Rationale: Explanation:
The correct alphabetical order is
Each, Eager, Earlier, Economic, Edition
ANSWER D
Answer: (D) 3, 5, 2, 1, 4
Question: 265.124 x 11.98 Ã· 8.001 + 32.28 = ?
(A) 983.578
(B) 659.121
(C) 781.189
(D) 429.966
(E) 456.512
Rationale: Explanation:
? = 265.124 x 11.98 Ã· 8.001 + 32.28
â‰ˆ (265.124 x 12/8) + 32.28 â‰ˆ 397.686 + 32.28 â‰ˆ 429.966
Answer: Option D
Answer: (D) 429.966
Question: On increasing the price of T.V. sets by 80%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ?
(A) 44
(B) 5
(C) 56
(D) 2
(E) 7
Rationale: Explanation:
Let the price be = Rs.100, and number of units sold = 100
Then, sale value = Rs.(100 × 100) = Rs.10000
New sale value = Rs.(180 × 80) = Rs.14400
Increase% =4400/10000 × 100 = 44%
Answer: A
Answer: (A) 44
Question: Margaret is 12 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
(A) 10yrs
(B) 24yrs
(C) 30yrs
(D) 40yrs
(E) 50yrs
Rationale: Let, age of son x=12
Margaret is 12 years more than twice the age of his son, y = 8+2(x)
=12+2(12)
=12+24
=36yrs
Difference = 36 - 12
=24yrs
ANSWER:B
Answer: (B) 24yrs
Question: The sum of ages of 5 children born 3 years different each is 65 yrs. What is the age of the Elder child?
(A) 17
(B) 19
(C) 16
(D) 18
(E) 21
Rationale: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 65
5x = 35
x = 7.
x+12= 7+12= 19
B
Answer: (B) 19
Question: The average age 8 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
(A) 12 years
(B) 14 years
(C) 18 years
(D) 16 years
(E) 26 years
Rationale: 8 * 2 = 16 years
ANSWER:D
Answer: (D) 16 years
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
(A) 7
(B) 4
(C) 6
(D) 9
(E) 3
Rationale: 65*(90/100)*((100-x)/100) = 56.16
x = 4%
Answer: B
Answer: (B) 4
Question: Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 40 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel?
(A) 54
(B) 110
(C) 120
(D) 16
(E) 180
Rationale: C
120
It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 40 MPH = 120 miles
Answer: (C) 120
Question: Forty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
(A)  60
(B)  70
(C)  100
(D)  120
(E)  140
Rationale: 40% of the members have passed the test, thus 60% have not passed the test.
We also know that 30+12=42 members have not passed the test, thus 0.6*Total=42 --> Total=70.
Answer: B.
Answer: (B)  70
Question: Two trains travel in the same direction at the speeds of 56km/hr. and 29km/hr. respectively. The faster train passes a man in the slower trains in 10 seconds. The length of the faster train (in metres) is
(A) 100
(B) 80
(C) 75 m
(D) 120
(E) 130
Rationale: Explanation:
The relative speed is 56-29 Km/hr =(27/18) X 5= 7.5 m/s2718×5=7.5m/s
The faster train travels only the length of it’s own = 7.5 x 10 = 75 m
Answer C
Answer: (C) 75 m
Question: For a,r,d are the positive integers, and d|a means that “a is divisible by d”, if d|ar, which of the following must be true?
(A) d|a
(B) d|r
(C) d|2ar
(D) d|(a+r)
(E) d|(a-r)
Rationale: d/a means a is divisible by d
d/ar means ab divisible by d.
all are integers so ,
if ar is divisible by d,
1 a can be divisible by d
or
2 r can be divisble by d.
so the question stem asks must true.
so option a and b are could but not must.
option c is 2ar divisible by d. if ab is divisible by d then 2ar is divisible by d.
option d and e we can't predict.
so option C is correct.
Answer: (C) d|2ar
Question: On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
(A) 0
(B) 1
(C) 2
(D) 4
(E) 5
Rationale: Explanation:
Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.
x = 5k + 3
x2 = (5k + 3)2
= (25k2 + 30k + 9)
= 5(5k2 + 6k + 1) + 4
On dividing x2 by 5, we get 4 as remainder.
ANSWER IS D
Answer: (D) 4
Question: There are 13 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
(A) 288
(B) 267
(C) 261
(D) 211
(E) 210
Rationale: The total number of stations = 15
From 15 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in 15P₂ ways.
15P₂ = 15* 14= 210.
Answer: E
Answer: (E) 210
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance travelled by them if the slower car takes 1 hour more than the faster car.
(A) 900
(B) 950
(C) 960
(D) 1000
(E) 930
Rationale: 60(x + 1) = 64x
X = 15
60 * 16 = 960 km
ANSWER C
Answer: (C) 960
Question: Walking with 5/4 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
(A) 18
(B) 19
(C) 20
(D) 22
(E) 24
Rationale: Speed Ratio = 1:5/4 = 4:5
Time Ratio = 5:4
1 -------- 5 4 --------- ? è 20
ANSWER:C
Answer: (C) 20
Question: Morgan Construction has 4 Senior Managing Directors and 4 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Constuction possibly provide guidance for?
(A)  16
(B)  36
(C)  52
(D)  54
(E)  64
Rationale: P(at least 1 S D) = P(Total) - P(0 Senior Director)
=8C3 - 4C3
= 52
Answer: (C)  52
Question: The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 15 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes.
(A) $0.94
(B) $0.96
(C) $0.98
(D) $1.02
(E) $1.20
Rationale: Assume the manager bought 100 tomatoes.
Cost Price = 80
Given: 15% are damaged --> Available tomatoes to sell = 85
85 * x - 80 = 0.08 * 80
85x - 80 = 6.4
85x = 86.64
x = 86.64/85 = 87/85 (approx) = 1.023
x is slightly under 1.023 = 1.02
Answer: D
Answer: (D) $1.02
Question: A clock shows the time as 7 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?
(A) 45 minutes
(B) 55 minutes
(C) 35 minutes
(D) 25 minutes
(E) 40 minutes
Rationale: there are 11 hours in between 7 a.m. to 6 p.m.
11*5=55 minutes.
ANSWER:B
Answer: (B) 55 minutes
Question: Two persons starting from the same place walk at a rate of 5kmph and 8kmph respectively. What time will they take to be 27km apart, if they walk in the same direction?
(A) 17 hrs
(B) 9 hrs
(C) 25 hrs
(D) 12 hrs
(E) 14 hrs
Rationale: The relative speed of the boys = 8kmph â€“ 5kmph
= 3 kmph
Distance between them is 27 km
Time= 27km / 3 kmph = 9 hrs
Answer : B.
Answer: (B) 9 hrs
Question: As they say, beggars can't be choosers, in fact begger take what they can get. A begger on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the begger finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?
(A) 14
(B) 18
(C) 15
(D) 10
(E) 20
Rationale: E
20
If the beggar can make a whole cigarette from 6 butts then he can make 12 cigarettes from the 72 he found. Once he smokes those, he then will have another 12 butts, which gives him enough to make another 2 cigarettes. A total of 14.
Answer: (A) 14
Question: The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.910. The perimeter of the plot is?
(A) 126
(B) 156
(C) 190
(D) 140
(E) 260
Rationale: Sol. Let width = x, Length = (10+x)
Perimeter = 2(x+(10+x))
= 2(2x=10)
& 2(2x+10)*6.5 = 910
X = 30
Required perimeter = 2(30+40) = 140
D
Answer: (D) 140
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word BANANA could be arranged to create a six-letter code?
(A) A)6!
(B) − (3! + 2!)
(C) − (3! × 2!)
(D) + 2!)
(E) × 2!)
Rationale: Number of letters in word 'BANANA' = 6.
The letters 'A' and 'N' appear 3 times and 2 times respectively in the word 'BANANA'.
Therefore the mathematical solution for number of ways that the letters of the word BANANA can be arranged to create six-letter code
= 6!/(3!*2!)
Answer: E
Answer: (E) × 2!)
Question: The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
(A) Rs. 2.50
(B) Rs. 3
(C) Rs. 3.75
(D) Rs. 4
(E) Rs. 5
Rationale: S.I. = (1200 * 10 * 1)/100 = Rs. 120
C.I. = [1200 * (1 + 5/100)2 - 1200] = Rs. 123 Difference = (123 - 120) = Rs. 3.
ANSWER:B
Answer: (B) Rs. 3
Question: what is the probability of drawn an ace or a space or both from a dew of cards.
(A) 14/52
(B) 15/52
(C) 16/52
(D) 17/52
(E) 18/52
Rationale: There are 13 spades in a standard deck of cards.
There are four aces in a standard deck of cards.
One of the aces is a spade.
So, 13 + 4 - 1 = 16 spades or aces to choose from.
Since we have a total of 52 cards, the probability of selecting an ace or a spade is 16 / 52
ANSWER:C
Answer: (C) 16/52
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 4 rounds per hour and 4 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
(A) A)5
(B) B)6
(C) C)8
(D) D)12
(E) E)9
Rationale: Relative speed = 4 + 4 = 8 rounds per hour.
So, they cross each other 8 times in an hour and 4 times in half an hour.
Hence, they cross each other 12 times before 9.30 a.m.
ANSWER:D
Answer: (D) D)12
Question: There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
(A) 200
(B) 220
(C) 380
(D) 240
(E) 250
Rationale: Explanation:
The total number of stations = 20
From 20 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in ²⁰P₂ ways.
²⁰P₂ = 20 * 19 = 380
C
Answer: (C) 380
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m?
(A) 22377
(B) 27782
(C) 28000
(D) 25000
(E) 18771
Rationale: 28 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
28 = 1/100 * x => x = 28000
Answer: C
Answer: (C) 28000
Question: 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
(A) 11
(B) 12
(C) 13
(D) 15
(E) 18
Rationale: if we take person a1 in the set then it will cover a36 and a2 for shaking hand.similarly if we take person a4 in the set then it will cover a5 and a3 for shaking hand and so on, so minimum 12 persons are required.
ANSWER:B
Answer: (B) 12
Question: A sports equipment store sold ping pong rackets for a total of $686. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
(A) 50
(B) 100
(C) 70
(D) 500
(E) 980
Rationale: Average price for a pair of rackets = $9.8
Total cost = $9.8*x = $686
x = 70 pairs were sold.
ANSWER:C
Answer: (C) 70
Question: Which of the following fractions is greater than 4/5 and less than 9/10?
1. 4/5 2. 9/10 3. 1/2 4.3/4 5. 3/5 6. 8/9
(A) 4/5
(B) 9/10
(C) 1/2
(D) 3/4
(E) 3/5
Rationale: 4/5= 0.80, 9/10 = 0.90, 1/2= 0.5, 3/4= 0.75, 3/5=0.66, 1/10= 0.1.
Clearly, 0.75 lies between 0.80 and 0.90.
Therefore, 3/4 lies between 4/5 and 9/10.
Answer is D.
Answer: (D) 3/4
Question: An bus covers a certain distance at a speed of 100 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
(A) 500 km/hr
(B) 640 km/hr
(C) 656 km/hr
(D) 731 km/hr
(E) 720 km/hr
Rationale: Distance = (100 x 5) = 500 km.
Required speed = 500 km/hr.
A
Answer: (A) 500 km/hr
Question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in?
(A) 1 day
(B) 2 days
(C) 3 days
(D) 4 days
(E) 5 days
Rationale: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.
Option 'A'
Answer: (A) 1 day
Question: The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 288 metres, what is its area?
(A) 1320 sq.metres
(B) 3260 sq.metres
(C) 4280 sq.metres
(D) 5040 sq.metres
(E) None of these
Rationale: Let the length and breadth be 7x and 5x respectively.
Then, P = 2(7x + 5x) = 288 â‡’ x = 12
Area = 7 Ã— 12 Ã— 5 Ã— 12 = 5040 sq.m.
Answer D
Answer: (D) 5040 sq.metres
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 39 minutes, then the slower pipe alone will be able to fill the tank in
(A) 144 mins
(B) 140 mins
(C) 136 mins
(D) 156 minw
(E) None of these
Rationale: Explanation:
Let the slower pipe alone fill the tank in x minutes
then faster will fill in x/3 minutes.
Part filled by slower pipe in 1 minute = 1/x
Part filled by faster pipe in 1 minute = 3/x
Part filled by both in 1 minute =
1/x+3/x=1/39
=>4/x=1/39
x=39∗4=156 mins
Option D
Answer: (D) 156 minw
Question: If each year the population of the country grows by 100%, how many years will elapse before the population of the country doubles?
(A) 1
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Till Year 2010, population is 100 .
Year 2001: Population becomes 200 ............. 1 Year elapsed
Answer:A
Answer: (A) 1
Question: If a and b are both odd numbers, which of the following is an even number?
(A) a + b
(B) a + b + 1
(C) ab
(D) ab + 2
(E) NOne
Rationale: Sol.
Sum of two odd numbers is always even.
Answer A
Answer: (A) a + b
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
(A) 876 m
(B) 157 m
(C) 245 m
(D) 156 m
(E) 167 m
Rationale: Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2
=> 2(130 + x) = 750 => x
= 245 m.
Answer: C
Answer: (C) 245 m
Question: If a and b are multiples of 6 then which are all the multiples of 6
1) a*b
2) a^b
3) a/b
4) a-b
5) a+b
(A) 1,2,4,5
(B) 2,3,4,5
(C) 1,3
(D) all of these
(E) 1,2,5
Rationale: a*b a^b a+b a-b are multiples of 6 except a/b
ANSWER:A
Answer: (A) 1,2,4,5
Question: A committee of 3 persons is to be formed from 3 company secretaries, 4 economists and 2 chartered accountant. What is the probability that each of the three professions is represented in the committee?
(A) 1/3
(B) 3/28
(C) 1/14
(D) 4/28
(E) 3/14
Rationale: 3/9*4/8*2/6*3! = 1/3 We are multiplying by 3! because we can choose secretary,economist, and accountant is several way:
Answer: A.
Answer: (A) 1/3
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
(A) 4 years
(B) 8 years
(C) 10 years
(D) 20 years
(E) None of these
Rationale: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.
Answer: (A) 4 years
Question: It takes John 15 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
(A) 7:40
(B) 6
(C) 4
(D) 5
(E) 6:45
Rationale: The time it takes John to get to work: time to walk to car park + time to drive
15 + 45 = 70 minutes = 1 hour and 10 minutes
John needs to get out of the house 1 hour and 10 minutes before 9:00 am at
9:00 - 1:10 = 7:40 a.m.
A
Answer: (A) 7:40
Question: 1⁄5 + 1⁄7 + 2⁄3 = ?
(A) 1 1⁄105
(B) 104⁄105
(C) 1 1⁄7
(D) 1 2⁄105
(E) None of these
Rationale: 1⁄5 + 1⁄7 + 2⁄3 = ?
or, ? = 21+15+70/105=106/105=1 1/105
Answer A
Answer: (A) 1 1⁄105