divelab/Sys2Bench huggingface dataset:
Question: Which is greater 2/3 or 3/4?
Options:
A)2/3
B)3/4
C)both are equal
D)Cannot be determined
E)both are equal and equal to 1
Rationale: To know which is greater 2/3 or 3/4
= Multiply both by 4*3 = 12 ( Product of denominator)
= 2/3 * 12 and 3/4 * 12 respectively
= 8 and 9 respectively
which means 3/4 is greater.
Ans: B
Answer: B
Question: A carpenter makes 7 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers?
Options:
A)3.
B)4.
C)5.
D)6.
E)7.
Rationale: I believe it is C because if 1C makes 3 beds in 1 day then:
1C's rate = 3/1
So 5c's = 3/1 * 5 = 15/1 = 15 beds in a day.
Since we have 173 soldiers who need beds and bunk beds come in pairs, 72 is the least amount of beds needed.
Time = Amount / Rate
Time = 72 / (15/1) = 72/15, simplifying we get 72/15 = 24/5 = 7
So, in order for the carpenters to be able to finish they need 7 whole days. At first I made the mistake of thinking how many whole days it took them to finish (as in ignore the partial day) but the prompt clarifiesdays in advance, meaning how many days would they need to finish so even if they finish early, theyusedthat day.
E
Answer: E
Question: A money lender lent a total of $1700 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1700, how much did he lend to each of the two customers?
Options:
A)700; 1100
B)1139; 561
C)1000; 800
D)1200; 800
E)None of the above
Rationale: The method given above is the one given in the book.
However the method I used was
(1*x*5)/100 + (1700-x)*6/100 = 1700*5.67/100
Simplifying we get x=561
B
Answer: B
Question: What should come in place of question mark (?) in the following equation?
45% of 1500 + 35% of 1700 = ? % of 3175.
Options:
A)50
B)45
C)30
D)35
E)None of these
Rationale: 45% of 1500 + 35% of 1700 = ? % of 3175
∴ ? = 1270003175=40
Answer E
Answer: E
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Options:
A)27 7/8 m
B)77 7/9 m
C)27 8/9 m
D)27 7/9 m
E)22 7/9 m
Rationale: Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 5 = 250/9
= 27 7/9 m.
Answer: D
Answer: D
Question: A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?
Options:
A)10
B)20
C)38
D)42
E)33
Rationale: Let n the number of students who scored below 60 and N the number of students who scored 60 or more. Xi the grades below 60 and Yi the grades 60 or above.
[sum(Xi) + sum(Yi)] / 20 = 70 : class average
sum(Xi) / n = 50 : average for less that 60
sum(Yi) / N = 75 : average for 60 or more
50n + 75N = 1400 : combine the above equations
n + N = 20 : total number of students
n = 4 and N = 16 : solve the above system
correct answer B
Answer: B
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Options:
A)5/21
B)5/14
C)9/14
D)16/21
E)1/3
Rationale: Explanation:
Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ * ⁶C₁)
As remaining person can be any one among three couples left.
Required probability = (⁵C₂ * ⁶C₁)/¹⁰C₅
= (10 * 6)/252 = 5/21
ANSWER IS A
Answer: A
Question: If t,u, and v are positive integers and 2t=2u+2v, which of the following must be true?
i. t=u
ii. u is not equal to v
iii. t > v
Options:
A)None
B)I only
C)II only
D)III and I
E)III only
Rationale: Notice two things: 1. we are asked to find out which of the following MUST be true, not COULD be true and 2. t, u, and v are positive integers.
Given: 2st=2u+2v --> t=u+v. Now, since s, u, and v are positive integers then s is more than either u or v, so I is never true and III is always true. As for II: it's not necessarily true, for example 4=2+2. So, we have that only option III must be true.
Answer: E
Answer: E
Question: It is currently 9:53 PM. What time was it in the morning exactly 149,061 minutes ago?
Options:
A)9:12
B)9:18
C)9:26
D)9:32
E)9:38
Rationale: Divide by 60 to convert 149,061 minutes to hours: 149,061/60 = 2,484 R21. That is 2,484 hours and 21 minutes. All of the answers are in the 9AM hour before :53, thus we can assume 2,484 previous must be 9:53 AM. 21 minutes before that is 9:32 AM. D
Answer: D
Question: A photograph is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?
Options:
A)76
B)65
C)59.5
D)49
E)38.5
Rationale: Area covered by photograph = (8.5-3)*(10-3)
=5.5*7
=38.5
Answer E
Answer: E
Question: Express of the following as a fraction: 0.6%
Options:
A)1/500
B)7/500
C)3/500
D)8/500
E)None of them
Rationale: 0.6 =6/1000 = 3/500
Answer is C.
Answer: C
Question: The ratio of two quantities is 2 to 5. If each of the quantities is increased by 4, what is the ratio of these two new quantities?
Options:
A)2/5
B)5/8
C)7/13
D)22/25
E)It cannot be determined from the information given.
Rationale: Correct Answer: E
Let x and y be the two quantities such that x/y = 2/5. There is no algebraic operation that can be used to increase x and y each by 3 and determine what happens to the ratio 2/5.
For example, if x = 2 and y = 5, then (x+4)/(y+4) = (2+4)/(5+4) = 6/9. However, if x = 4 and y = 10 (which would still set x/y = 2/5), then (x+3)/(y+3) = (4+4)/(10+4) = 8/14. The ratio of the two new quantities cannot be uniquely determined from the information given, and the correct answer is (E).
Answer: E
Question: A box contains 5 yellow balls and 6 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Options:
A)3/4
B)4/7
C)5/8
D)7/9
E)6/11
Rationale: Each ball has an equal chance (1/11) of being selected fourth.
The probability that a black ball is selected fourth is 6/11.
The answer is E.
Answer: E
Question: The ratio between the speeds of two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is ?
Options:
A)83.5 km/hr
B)84.5 km/hr
C)86.5 km/hr
D)87.5 km/hr
E)None of these
Rationale: Explanation:
Let the speeds of two trains be 7X and 8X km/hr.
8/X=400/4=>X=12.5Km/hr
So speed of first train is 12.5*7 = 87.5 km/hr
Option D
Answer: D
Question: Adding two non multiples of W always results in a multiple of W; which of the following must be the value of W ?
Options:
A)[A] two
B)[B] three
C)[C] five
D)[D] ten
E)[E] hundred
Rationale: NON- multiples of 2 would always be ODD and sum of two odd would be EVEN.
so irrespective of value of non-multiples, sum of two them would always be even and thus multiple of 2..
A
Answer: A
Question: The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the fortythird term in the sequence?
Options:
A)2
B)3
C)6
D)4
E)5
Rationale: Following the rule of Infinite sequence we obtain the terms of the sequence as mentioned below
02,07,22,67, 202, 607, 1822, 5467...
Observe the last two digits of the sequence which have the cyclicity of4and the last two digits repeat in the order {02, 07, 22, 67}
Also 43rd Term =5*8 +3
i.e. 35th Terms will have same Last two digits as 3rd term of the sequence = 22
i.e. Sum of lat two digits of 35th Term = 2+2 = 4
D
Answer: D
Question: How many terminating zeroes Q does 200! have?
Options:
A) 40
B) 48
C) 49
D) 55
E) 64
Rationale: You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.C
Answer: C
Question: Evaluate ((5.68)2 – (4.32)2)/5.68- 4.32
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Given Expression = a2-b2/ a-b = (a+b) (a-b)/ a-b = (a+b)
(5.68)2 – (4.32)2/5.68- 4.32 = (5.68+ 4.32) = 10
ANSWER:C
Answer: C
Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
Options:
A)22
B)23
C)24
D)26
E)25
Rationale: Explanation:
Let the number of hens be x and the number of cows be y.
Then, x + y = 48 .... (i)
and 2x + 4y = 140 x + 2y = 70 .... (ii)
Solving (i) and (ii) we get: x = 26, y = 22.
The required answer = 26.
ANSWER IS D
Answer: D
Question: Skier SARAH completes a straight 300-meter downhill run in t seconds and at an average speed of (x + 10) meters per second. She then rides a chairlift back up the mountain the same distance at an average speed of (x - 8) meters per second. If the ride up the mountain took 135 seconds longer than her run down the mountain, what was her average speed, in meters per second, during her downhill run?
Options:
A) 10
B) 15
C) 20
D) 25
E) 30
Rationale: Backsolving is the preferred approach for this one
300/(x-8) - 300/(x+10) = 135
We are asked for the value of x+10
So we can start with C = X+10 = 20
So x = 10
300/2 - 300 / 20 = 135
Hence answer is C
Answer: C
Question: John is measuring a banner for the school play and needs to know how many inches are in 5 yards and 2 feet. Can you help him out?
Options:
A)235 inches.
B)204 inches.
C)220 inches.
D)206 inches.
E)208 inches.
Rationale: B
204 inches.
5 yards is the same as 15 feet(3 feet = 1 yard).15 feet +2 feet = 17 feet. There are 12 inches in each foot. So 17 feet x 12 = 204 inches.
Answer: B
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Options:
A)443 m
B)354 m
C)450 m
D)350 m
E)250 m
Rationale: D
350
D = 72 * 5/18 = 25 = 500 – 150 = 350
Answer: D
Question: The diagonals of a rhombus are 13 cm and 20 cm. Find its area?
Options:
A)329
B)288
C)150
D)130
E)31
Rationale: 1/2 * 13 * 20 = 130
Answer: D
Answer: D
Question: Find the area of trapezium whose parallel sides are 10 cm and 18 cm long, and the distance between them is 10 cm.
Options:
A)140 cm2
B)185 cm2
C)185 cm2
D)185 cm2
E)195 cm2
Rationale: Explanation:
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (10 + 18) * (10) = 140 cm2
Answer: Option A
Answer: A
Question: 45 men can complete a work in 14 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?
Options:
A)6
B)10
C)15
D)7
E)4.8
Rationale: 45*14 men can complete the work in 1 day
1 man's 1 day work = 1/630
45 men 6 days work = 6*1/14 = 3/7
remaining work = 1-3/7 = 4/7
75 men's 1 day's work = 75/630 = 5/42
4/7 work is done by them in 42/5 * 4/7 = 4.8 days
Answer is E
Answer: E
Question: On a ferry, there are 32 cars and 8 trucks. The cars have an average mass of 900 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 40 vehicles on the ferry?
Options:
A)1200
B)1240
C)1280
D)1320
E)1360
Rationale: The total mass of the vehicles is 32*900+8*3000=52800
The average mass is 52800/40=1320
The answer is D.
Answer: D
Question: If the sides of a triangle are 26 cm, 24 cm and 12 cm, what is its area?
Options:
A)120 cm2
B)112 cm2
C)144 cm2
D)666 cm2
E)886 cm2
Rationale: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 12 = 144 cm2
Answer: C
Answer: C
Question: Which one of the following numbers is a solution of the equation
(x(2sq)-2)(x(2sq) + 6)(x(third3)-8) = 0?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: One checks each of the ve given possible answers. Since 2-3third- - 8 = 0, the answer
is 2.
correct answer B
Answer: B
Question: In a consumer survey, 70% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Options:
A)5
B)10
C)15
D)20
E)25
Rationale: pick 100 and x= all set with exactly two items
70=30+50+20 -(X)-10
X=20
so the answer is 20+5/100= 25%
Answer E
Answer: E
Question: Three partners A, B, C in a business invested money such that 3(Aâ€™s capital) = 2(Bâ€™s capital) = 5(Câ€™s capital) then, The ratio of their capitals is
Options:
A)63 : 45 : 34
B)63 : 54 : 34
C)36 : 54 : 28
D)63 : 45 : 35
E)10 : 15 : 6
Rationale: Explanation:
Let 3(Aâ€™s capital) = 2(Bâ€™s capital) = 5(Câ€™s capital) = Rs.x
Then, Aâ€™s capital = Rs x/3, Bâ€™s capital = Rs. x/2 and Câ€™s capital = Rs. x/5.
A : B : C = x/3 : x/2 : x/5
10 : 15 : 6
Answer: Option E
Answer: E
Question: Rs. 850 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 850 become in 3 years ?
Options:
A)Rs. 1020.80
B)Rs. 1025
C)Rs. 1058
D)Data inadequate
E)None of these
Rationale: Solution
S.I. = Rs.(956-850 )=Rs.106
Rate = (100x106/850x3) = 212/51%
New rate = (212/51 +4)% = 416/51%
New S.I. = Rs.(850 x416/51x3/100) Rs. 208.
∴ New amount = Rs.(850+208)= Rs. 1058.
Answer C
Answer: C
Question: Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 41 films, and broke even on none of them, how many of their films were profitable?
Options:
A)18
B)19
C)20
D)21
E)40
Rationale: After fiddling some more, this is how I got to answer choice E...but did I get here using voodoo math or is it sound?
(.60*.75) + (.40*.25) = .44 + .10 = .55
55/100 = 11/20
Then subtract from 41:
41 - 11/20 = 40 (answer E)
Answer: E
Question: Instead of multiplying a number by 2, the number is divided by 10. What is the percentage of error obtained ?
Options:
A)94%
B)92%
C)95%
D)93%
E)97%
Rationale: let the number be x
the right number is 2x
the wrong number is x/10
error is(2x-x/10)=19x/10
percentage of error is((19x/10)/2x)*100=95%
ANSWER:C
Answer: C
Question: Eight years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
Options:
A)33
B)67
C)28
D)31
E)35
Rationale: Let present age of P and Q be 3x3x and 4x4x respectively.
Eight years ago, P was half of Q's age
â‡’(3xâˆ’8)=1/2(4xâˆ’8)
â‡’6xâˆ’16=4xâˆ’8
â‡’2x=8
â‡’x=4
Total of their present ages
=3x+4x=7x=7Ã—4=28
C
Answer: C
Question: Albert invested amount of 4000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit
Options:
A)Rs. 8510
B)Rs. 8620
C)Rs. 4410
D)Rs. 8820
E)None of these
Rationale: Explanation:
=>(4000×(1+5/100)2)
=>4000×21/20×21/20
=>4410
Option C
Answer: C
Question: Total dinning bill for 6 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
Options:
A)$30.14
B)40.44
C)34.66
D)32.29
E)33.16
Rationale: 211*15=3165/100=31.65
211+31.65=242.65
242.65/6=40.44
ANSWER:B
Answer: B
Question: The probability is 0.6 that an “unfair” coin will turn up tails on any given toss. If the coin is tossed 3 times, what is the probability that at least one of the tosses will turn up tails?
Options:
A)0.064
B)0.36
C)0.64
D)0.784
E)0.936
Rationale: probability that at least one of the tosses will turn up tails = 1 - probability that all will be heads
= 1 - (0.4*0.4*0.4)
= 1 - 0.064
= 0.936 E
Answer: E
Question: If x is a positive even number, then each of the following is even odd EXCEPT
Options:
A)(x + 3)(x + 5)
B)x^2 +4
C)x^2 + 6x + 9
D)3x^2 + 4
E)5(x + 3)
Rationale: Since it is given tht x is even number, so any integer multiplied with x will also be even..
so, we should concentrate only on other terms..
lets see the choices..
A. (x + 3)(x + 5)
We have two terms with x and each is added with a odd number..
each bracket becomes odd and Odd*Odd=Odd
B. x^2 + 5
here we are adding an Odd number to even.. so E + O=O
C. x^2 + 6x + 9
here we are again adding an Odd number to even.. so E +E + O=O
D. 3x^2 + 4
here we are adding an Even number to even.. so E + E=E..
so tjis is our answer
E. 5(x + 3)
again O*O=O
B
Answer: B
Question: Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 10% so that the total annual income will be equal to 6% of her entire investment?
Options:
A)120
B)600
C)1000
D)360
E)240
Rationale: Let the additional invested amount for 10% interest be x;
Equation will be;
2400+0.05*2400+x+0.10x = 2400+x+0.06(2400+x)
0.05*2400+0.10x = 0.06x+0.06*2400
0.04x = 2400(0.06-0.05)
x = 2400*0.01/0.04 = 600
Ans:B
Answer: B
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?
Options:
A)20cm
B)40cm
C)30cm
D)60cm
E)50cm
Rationale: Let breadth =x cm
Then, length =2x cm
Area =x×2x=2x2 sq.cm.
New length =(2x−5) cm
New breadth =(x+5) cm
New area =(2x−5)(x+5) sq.cm.
Given that, new area = initial area +75 sq.cm.
⇒(2x−5)(x+5)=2x2+75⇒2x2+10x−5x−25=2x2+75⇒5x−25=75⇒5x=75+25=100⇒x=1005=20 cm
Length =2x=2×20=40cm
Answer is B.
Answer: B
Question: 54 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Options:
A)A)57
B)B)77
C)C)66
D)D)55
E)E)67
Rationale: (54 * 8)/30
= (x * 6)/50
=> x =120
120 – 54
= 66
Answer:C
Answer: C
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Options:
A)3488
B)37799
C)6400
D)2777
E)2911
Rationale: Explanation:
Number of bricks \frac{800\times 600\times 22.5}{25\times 11.25\times 6} = 6400
Answer: C) 6400
Answer: C
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?
Options:
A)156
B)167
C)157
D)352
E)380
Rationale: 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.
Answer: E
Answer: E
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Options:
A)335 cm2
B)885 cm2
C)285 cm2
D)825 cm2
E)725 cm2
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (15)
= 285 cm2
Answer: C
Answer: C
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
Options:
A)3388
B)2678
C)2977
D)6150
E)2769
Rationale: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1125
45k = 1125 => k = 25
246k = 246(25) = Rs. 6150
Thus the total rent paid by all the four agencies is Rs. 6150.
\Answer: D
Answer: D
Question: Car X began traveling at an average speed of 35 miles per hour. After 48 minutes, car Y began traveling at an average speed of 39 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Options:
A)105
B)140
C)175
D)210
E)245
Rationale: In 48 minutes, car X travels 28 miles.
Car Y gains 4 miles each hour, so it takes 7 hours to catch car X.
In 7 hours, car X travels 245 miles.
The answer is E.
Answer: E
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of A?
Options:
A)3002
B)3000
C)3018
D)3019
E)4000
Rationale: 60*5:36*6:75*3
100: 72: 75
100/247 * 9880 = 4000
Answer: E
Answer: E
Question: If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is
Options:
A)20%
B)25%
C)30%
D)35%
E)None of these
Rationale: Explanation:
Let the Cost Price of 1 item = Re. 1
Cost Price of 16 items = 16
Selling Price of 16 items = 12
Loss = 16 - 12 = Rs 4
Loss % = (4/16)* 100 = 25%
Option B
Answer: B
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Options:
A)15 Kmph
B)17 Kmph
C)21 Kmph
D)23 Kmph
E)27 Kmph
Rationale: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph
Option 'A'
Answer: A
Question: Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 5%. What is the approximate interest he pays annually?
Options:
A)$1200
B)$2000
C)$2150
D)$2500
E)$12000
Rationale: since the options did not make sense with 5% annual rate of interest, it is apparent that the intent was a 5% quarterly rate. So the bank charges 5% every quarter and compounds it in the next quarter. Had it been a simple quarterly rate, we would have just found 4 * 5% of 10,000 = $2000 as our answer.
But since, the interest is compounded, it will be a bit more than $2000. Option (C) looks correct.
ANSWER:C
Answer: C
Question: The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?
Options:
A)28%
B)50%
C)32%
D)34%
E)39%
Rationale: Male = 45,000* 5/9 = 25,000
Female = 45,000* 4/9 = 20,000
Married Male = 25,000* 40/100 = 10,000
Married Female = 10,000
20,000 ------------ 10,000
100 ------------- ? => 50%
Answer:B
Answer: B
Question: How many odd numbers are possible between 1 to 100000000? find out the number of odd number of digits?
Options:
A)2999
B)3500
C)4000
D)4599
E)49999999
Rationale: There are always one odd and one even no. And the question is odd no. Between 1 to 100000000
So we have to find no. Between 1 to 100000000 so we should not includes 1
100000000/2 -1=49999999
ANSWER:E
Answer: E
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
Options:
A)2
B)4
C)5
D)6
E)7
Rationale: P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 31 = 19008 / 31 = 613, remainder = 5
C
Answer: C
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 4 minutes A is turned off. After how much more time will the cistern be filled?
Options:
A)6
B)8 1/1
C)8 1/4
D)8 1/2
E)8 3/7
Rationale: 4/12 + (4 + x)/15 = 1
x = 6
Answer: A
Answer: A
Question: If √a+√b=a+b means then (√a+√b)^2=?
Options:
A)a^2+b^2
B)a^2+b^2+2*a*b
C)a+b
D)√a^2+√b^2
E)Cannot be determined
Rationale: Option B is answer.
√a+√b=a+b then (√a+√b)^2=(a+b)^2=a^2+b^2+2*a*b.
Answer: B
Question: At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 36 males did not bring gifts to the party, how many females did bring gifts?
Options:
A)18
B)36
C)42
D)68
E)70
Rationale: the correct method
total = 300..
70% of 300 = 210 got gifts..
90 did not get gift, out of which 48 are males, so remaining 90-36=54 are females..
But 40% females brought gift, so 60% did not get it..
so 60% = 54, 100%= 54*100/60= 90..
ans 40% of 90 =36
B
Answer: B
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
A)18 sec
B)16 sec
C)76 sec
D)15 sec
E)17 sec
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec
Answer:B
Answer: B