divelab/Sys2Bench huggingface dataset:
Question: Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?
Options:
A)1246
B)2346
C)5678
D)3334
E)4567
Rationale: If sum of the digits is divisible by 3, the number is divisible by 3.
Therefore, required number of non-negative integers is equal to count of numbers less than 10,000 which are divisible by 3.
Such numbers are (3, 6, 9, ... , 9999) (arithmetic progression with first term=3, last term=9999, common difference=3).
Count of such numbers =
9999
3
=
3333
99993=3333
But zero is also divisible by 3.
This makes our total count 3334
D
Answer: D
Question: Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $60 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year?
Options:
A) $752
B) $796
C) $765
D) $773
E) $775
Rationale: = (750*6+ 810 *20)/26
= 796
Answer is B.
Posted from my mobile device
Answer: B
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Options:
A)31/32
B)31/35
C)31/39
D)31/12
E)31/39
Rationale: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32
Answer:A
Answer: A
Question: If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
10 – 9 + 8 × 3 ÷ 20 =
Options:
A)6
B)10
C)14
D)-2
E)8
Rationale: C 14
Answer: C
Question: In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
A)8 sec
B)1 sec
C)9 sec
D)6 sec
E)2 sec
Rationale: T = 20/36 * 18/5
= 2 sec
Answer:E
Answer: E
Question: A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined?
.
Options:
A)1000 profit
B)2000 profit
C)1000 loss
D)2000 loss
E)3334 loss
Rationale: car 1 :
P1*1.25 = 20000
P1 = 16000
car2
P2*0.8 = 20000
P2 = 25000
P1+P2 = 41000
Final sale = 40000
1000 loss ..
ANSWER:C
Answer: C
Question: Aaron will jog from home at 5 miles per hour and then walk back home by the same route at 10 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
Options:
A)15
B)18
C)10
D)12
E)14
Rationale: xyt/(x+y)
x= 5, y=10, t= 3
5*10*3/5+10 = 150/50 = 10
Answer : C
Answer: C
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2430?
Options:
A)s.800
B)s.810
C)s.820
D)s.900
E)s.920
Rationale: 2430 * 1/3 = 810
Option B
Answer: B
Question: A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Options:
A)Rs. 207.40
B)Rs. 534.60
C)Rs. 648
D)Rs. 655.60
E)Rs. 685.60
Rationale: No. of shares= 4455/8.25 =540
income on shares=540*10=5400
annual income=12*5400/100=648
ANSWER:C
Answer: C
Question: Evaluate combination
15C5
Options:
A)10000
B)3003
C)10
D)1
E)0
Rationale: Explanation:
nCn=1
nCr=n!/r!(n-r)!
15C5=15!/5!(15-5)!=3003
Option B
Answer: B
Question: At what rate percent of simple interest will a sum of money double itself in 33 years?
Options:
A)6.54 %
B)4.54 %
C)8 .2 %
D)3.03 %
E)5.54 %
Rationale: Let sum = x. Then, S.I. = x.
Rate = (100 * S.I.) / (P * T) = (100 * x) / (x * 33)
= 100/33 = 3.03 %
ANSWER:D
Answer: D
Question: When a train travels at a speed of 70kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
Options:
A)37.5km
B)50.5km
C)60km
D)85.5km
E)95km
Rationale: Let x be the time reached with the speed 70km/h
50km/h ----> x+15
Distance is equal so
70(km/h)× xhr = 50(km/h) × (x+15) hr
So
70 x = 50x + 750
So the would be in km
And x = 37.5
ANSWER:A
Answer: A
Question: John makes $60 a week from his job. He earns a raise andnow makes $72 a week. What is the % increase?
Options:
A)20%
B)16.66%
C)16.56%
D)17.66%
E)18.1%
Rationale: Increase = (12/60)*100 = (1/5)*100 = 20%.
A
Answer: A
Question: At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but,not together?
Options:
A)(5 + 5/11 )min past7
B)(5 + 5/11 )min past6
C)(5 + 5/11 )min past2
D)(5 + 5/11 )min past1
E)(5 + 5/11 )min past8
Rationale: When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
At 7 o'clock, they are 25 min. spaces apart.
Minute hand will have to gain only 5 min. spaces.
55 min. spaces are gained in 60 min.
5 min spaces are gained in min = min
so, Required time = min past 7
Answer: A
Answer: A
Question: There are 42 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Options:
A)1) 4
B)2) 7
C)3) 12
D)4) 21
E)5) 27
Rationale: x -> Golf Club
2x -> Tennis Club
y -> both
x+2x-y = 42
3x - y =42
multiples of 3 greater than 42
45
48
51
54-12=42
IMO (C)
Answer: C
Question: A fruit seller had some oranges. He sells 40% oranges and still has 300 oranges. How many oranges he had originally?
Options:
A)420
B)700
C)220
D)500
E)None of these
Rationale: Explanation :
He sells 40% of oranges and still there are 300 oranges remaining
=> 60% of oranges = 300
⇒ (60 × Total Oranges)/100 = 300
⇒ Total Oranges/100 = 5
⇒ Total Oranges = 5 × 100 = 500
Answer : Option D
Answer: D
Question: In May Mrs Lee's earnings were 50 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Options:
A)55
B)56
C)34
D)78
E)23
Rationale: Lets say the Family Income is 100
In May, lee earned 50Family income is 50
In june, Lee earned 20% more than May, so it is (50+20*50/100 = 60)
Family Income is same 50
In June Lee's Income percent is 60*100/110 ~ 55
Ans is A
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Options:
A)2288
B)277
C)800
D)2878
E)211
Rationale: 25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200 = 800.Answer: C
Answer: C
Question: If a : b = 5 : 9 and b : c = 4: 7, find a : b : c
Options:
A)63:36:20
B)36:20:63
C)20:63:36
D)20:36:63
E)None of them
Rationale: a:b=5:9 and b:c=4:7= (4X9/4): (7x9/4) = 9:63/4
a:b:c = 5:9:63/4 =20:36:63.
Answer is D.
Answer: D
Question: The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife?
Options:
A)3:2
B)4:1
C)3:2
D)Cannot be determined
E)None of these
Rationale: Answer: Option D
Explanation:
Let the present ages of Anil and his son be 7x and 3x years respectively.
Let the present age of the son's mother be m years.
(m + 6) / (3x + 6) = 2/1
m + 6 = 6x + 12 => m = 6x + 6
Ratio of the present ages of Anil and the son's mother = 7x / (6x + 6).
This cannot be found uniquely.
Answer:D
Answer: D
Question: There are 50 girls in a dance group in a private school. 30% of them dance hip hop and 80% dance ballet. How many of them dance both hip hop or ballet?
Options:
A)5
B)10
C)15
D)20
E)25
Rationale: The total number of girls in the class is n = 50.
The number of girls dancing hop hop is 30% of it, thus
n (A)=30/100×50=30/2=15.
The number of girls dancing ballet is 80%, thus
n (B)=80/100×50=80/2=40.
In order to calculate the number of girls dancing both hip hop and ballet we can use the following equation:
n (AnB)=n (A)+n (B) -n =15+40-50=5.
So, 5 girls in this dance class dance both hip hop and ballet.
ANSWER: A
Answer: A
Question: If 40% of a number is 24, then the number is
Options:
A)number is 60
B)number is 70
C)number is 90
D)number is 80
E)None of these
Rationale: Solution:
Let "a" be the number we seek. We get
40% × a = 24
2 × 40% × a = 2 × 24 = 48
80% × a = 48
10% × a = 48 : 8 = 6
100% × a = 6 × 10 = 60
a = 60
Answer A
Answer: A
Question: A worker makes a toy in every 3h. If he works for 150h, then how many toys will he make ?
Options:
A)40
B)54
C)45
D)50
E)None
Rationale: No. of toys = 150/3 = 50
Answer : D
Answer: D
Question: If a tap could fill entire tank in 18 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 15 hrs without leakage
Options:
A)12hrs
B)24hrs
C)36hrs
D)48hrs
E)90hrs
Rationale: time take to fill[withleakage] =18hrs so workdone in 1hr=1/18
time tkae to fill[without leakage]=15hrs so workdone in 1hr=1/15
if u subtract both u'll get time taken by leakage to empty...
1/18-1/15=1/90 so 90hrs
ANSWER:E
Answer: E
Question: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 2H, which of the following represents the amount that Roberta paid?
Options:
A)D + 40
B)D + H – 1
C)D + 2H
D)3.01H
E)1.21D
Rationale: before Discount price was: 1.4D+1.5H
After Discount: 1.4D +1.5H-.42D-.45H
substitute D=2H
final value: 3.01H
Ans Is D :
Answer: D
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 56 years later?
Options:
A)$ 280,000
B)$ 320,000
C)$ 360,000
D)$ 450,000
E)$ 640,000
Rationale: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?
The investment gets doubled in 70/p years. Therefore, the investment gets doubled in 70/5= every 14 years. After 56 years, the investment will get doubled 56/14= 4 times.
So the amount invested will get doubled thrice.
So, 40000 *2^4 = 640000
Hence, the answer is E.
Answer: E
Question: Jar A has 6% 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?
Options:
A)2.8%
B)3.0%
C)3.2%
D)3.4%
E)3.6%
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 106 marbles. Now, for both jars to have equal marbles we should move 3 marbles from A to B, which is 3/106=~2.8% of A.
Answer: A.
Answer: A
Question: Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
Options:
A)Rs 4000
B)Rs 3000
C)Rs 5000
D)Rs 4500
E)Rs 6000
Rationale: investment 9% ==>x
investment in 10% stock = (9800-x)
9/75xx=10/80x(9800-x)
3x/25=9800-x/8
24x=9800x25-25x
49x=9800 x 25
x=5000
ANSWER C
Answer: C
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Options:
A)178
B)169
C)245
D)178
E)119
Rationale: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30
= 25/2 ==> 2(130 + X) = 750 ==> X
= 245 m.
Answer: C
Answer: C
Question: What should come in place of the question mark (?) in the following equation?
5978 + 6134 + 7014 = ?
Options:
A)19226
B)16226
C)19216
D)19126
E)None of these
Rationale: ? = 5978 + 6134 + 7014 = 19126
Answer D
Answer: D
Question: If the numbers 20,15,11,17,21,24,10,14 have average 16.5, then what is the average of the numbers if each given numbers is multiplied by 2?
Options:
A)13
B)53
C)43
D)23
E)33
Rationale: Required Average is nothing but the two times of the old average =33 Answer : E
Answer: E
Question: A driver just filled the car's gas tank with 54 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Options:
A)1.5
B)2
C)2.4
D)2.7
E)3
Rationale: Let x be the number of liters of ethanol added to the gas tank.
0.05(54) + x = 0.1(54+x)
0.9x = 5.4 - 2.7 = 2.7
x = 3 liters
The answer is E.
Answer: E
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 30 minutes. The waste pipe can empty the full cistern in?
Options:
A)8 min
B)7.5 min
C)5 min
D)9 min
E)4 min
Rationale: 1/10 + 1/15 - 1/x
= 1/30
x = 7.5
Answer: B
Answer: B
Question: A certain company employs 7 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
Options:
A)8
B)24
C)58
D)140
E)210
Rationale: Number of ways to select 3 senior officers from 7 of them = 7C3 = 35 ways
Next we can determine the number of ways to select 1 junior officer.
number of ways to select 1 junior officer from 4 of them = 4C1 = 4 ways
Thus the number of ways to select 3 senior officers and 1 junior officer is 35 x 4 = 140 ways.
Answer: D
Answer: D
Question: Ajay can walk 10km in 1 hour. In how many hours he can walk 50km?
Options:
A)5hrs
B)10hrs
C)15hrs
D)20hrs
E)30hrs
Rationale: 1 hour he walk 10km
he walk 50km in = 50/10 * 1 = 5hours
Answer is A
Answer: A
Question: The radius of a semi circle is 6.5 cm then its perimeter is?
Options:
A)32.7
B)32.4
C)33.4
D)32.8
E)32.1
Rationale: 36/7 r = 6.5 = 33.4
Answer:C
Answer: C
Question: The average of 6 no.'s is 3.95. The average of 2 of them is 3.6, while the average of the other 2 is 3.85. What is the average of the remaining 2 no's?
Options:
A)4.2
B)4.4
C)4.6
D)5.6
E)5.7
Rationale: Sum of the remaining two numbers = (3.95 * 6) - [(3.6 * 2) + (3.85 * 2)]
= 8.8.
Required average = (8.8 / 2) = 4.4.
B
Answer: B
Question: A 300 meter long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Options:
A)227
B)266
C)230
D)288
E)200
Rationale: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 30 = 50/3
3(x + 300) = 1500 è x = 200m.
Answer: E
Answer: E
Question: 657.987 - ? + 56.84 = 324.943
Options:
A)A)899.015
B)B)752.804
C)C)389.884
D)D)629.906
E)of these
Rationale: Explanation:
389.884
Answer: Option C
Answer: C
Question: The G.C.D. of 1.08, 0.36 and 0.7 is:
Options:
A)0.02
B)0.9
C)0.18
D)0.108
E)0.118
Rationale: Given numbers are 1.08, 0.36 and 0.70. H.C.F. of 108, 36 and 70 is 18,
H.C.F. of given numbers = 0.02.
Answer: Option A
Answer: A
Question: Find the odd man out. 2, 5, 10, 17, 26, 38, 50, 65
Options:
A)50
B)38
C)26
D)65
E)50
Rationale: Explanation :
The pattern is (1×1)+1 , (2×2)+1 , (3×3)+1 , (4×4)+1 , (5×5)+1 , (6×6)+1 , (7×7)+1 , (8×8)+1
Hence, in place of 38, the right number was (6×6)+1 = 37
Answer : Option B
Answer: B
Question: There are two taps, which are used to fill the tank and one tap to empty the tank. First tap fill the tank in 10 min., while the second takes quarter of an hour to fill the tank if both are operated independently.Third tap is capable of emptying the tank in seven and a half minutes. If all the taps are opened simultaneously how long (if ever) will it take for the tank to get filled completely?
Options:
A)10 minutes
B)20 minutes
C)30 minutes
D)40 minutes
E)50 minutes
Rationale: Pipe A fills the tank in 10 min
Pipe B fills the tank in 15 min
Pipe C empties the tank in 15/2 min
If all the three opened simultaneously then in 1 min
1/10 + 1/15 - 2/15 of the tank will be filled
that means 1/30 th of the tank will be filled in 1 min
So it will take 30 minutes to fill the tank completely if all three pipes opened
ANSWER:C
Answer: C
Question: How many numbers between 100 and 714 are divisible by 2, 3, and 7 together?
Options:
A)112
B)77
C)267
D)15
E)99
Rationale: Explanation:
As the division is by 2, 3, 7 together, the numbers are to be divisible by: 2*3*7 = 42
The limits are 100 and 714
The first number divisible is 42*3 = 126
To find out the last number divisible by 42 within 714:
714/42 = 17
Hence, 42*14 = 714 is the last number divisible by 42 within 714
Hence, total numbers divisible by 2, 3, 7 together are (17 â€“ 2) = 15
ANSWER: D
Answer: D
Question: The population of Linterhast was 3,600 people in 1990 and 4,800 people in 1993. If the population growth rate per thousand is constant, then what will be the population in 1996?
Options:
A)6000
B)6400
C)7200
D)8000
E)9600
Rationale: This is a set rate problem. If the population grew by 1,200 people in the past three years, then it grew by 33 percent:
4800−3600/3600=1200/3600=1/3≈33
Therefore in the next three years the population will grow at the same rate of 33% because the growth rate has been constant.
4,800+1/3∗4,800=4,800+1,600=6,400
Another approach is to backsolve by comparing the ratio of each answer to 4,800. For example, the ratio of 7,200 to 4,800 is not the same as the ratio of 4,800 to 3,600.
Answer: B
Answer: B
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Options:
A)100
B)110
C)120
D)121
E)123
Rationale: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.
Length of the train = 20 * 6 = 120 m.
Answer: Option C
Answer: C
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 8 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Options:
A)6
B)8
C)16
D)124
E)128
Rationale: Notepads of the same color = 8 (we have 8 colors). As we have two sizes then total for the same color=8*2=16
Notepads of the different colors = 8C3=56 (we should choose 3 different colors out of 8). As we have two sizes then total for the different color=56*2=112
Total=112+16=128
Answer: E.
Answer: E
Question: An investment yields an interest payment of $231 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Options:
A)$28,300
B)$30,800
C)$31,300
D)$32,500
E)$35,100
Rationale: Let the principal amount = P
Simple annual interest = 9%
Simple monthly interest = (9/12) = (3/4)%
(3/4)*(P/100) = 230
=>P = (231 *4 * 10^2 )/3
= 77*4*10^2
= 308 * 10^2=30800
Answer B
Answer: B
Question: A case contains C cartons. Each carton contains B boxes, and each box contains 200 paper clips. How many paper clips are contained in 2 cases?
Options:
A)200BC
B)200B/C
C)400BC
D)400B/C
E)400/BC
Rationale: 2 cases * C cartons/case * B boxes/carton * 200 clips/box = 400BC paper clips
The answer is C.
Answer: C
Question: Which of the following data sets has the second largest standard deviation?
Options:
A) {1, 2, 3, 4, 5}
B) {2, 3, 3, 3, 4}
C) {2, 2, 2, 4, 5}
D) {0, 2, 3, 4, 6}
E) {-1, 1, 3, 5, 7}
Rationale: since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..
The SIMILARITY is - the SUM of all sets is equal =15..
and hence average = 15/5 = 3...
Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVERAGE..
clearly E has a range of 7-(-1) or 8, and has the highest standard deviation..
Next is D, which has a range of 6-0 or 6..
ans D
Answer: D
Question: If the number of boys in a class are 8 times the number of girls, which value can never be the total number of students?
Options:
A)42
B)45
C)41
D)40
E)39
Rationale: Let the number of girls = x and the number of boys = 8x
Then, total number of students = x + 8x = 9x
i.e., the total number of students must be a multiple of 9
From the given choices, 42 cannot be a multiple of 9.
Hence, 42 cannot be the total number of students.
Answer is A.
Answer: A
Question: A carpenter makes 5 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 = 4.9
So, in order for the carpenters to be able to finish they need 5 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.
C
Answer: C
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Options:
A)833 1/7 grams
B)833 1/3 grams
C)833 8/3 grams
D)933 1/3 grams
E)833 1/4 grams
Rationale: If the cost price is Rs.100, then to get a profit of 20%, the selling price should be Rs.120.
If 120kg are to be sold, and the dealer gives only 100kg, to get a profit of 20%.
How many grams he has to give instead of one kilogram(1000 gm).
120 gm ------ 100 gm
1000 gm ------ ?
(1000 * 100)/120 = 2500/3 = 833 1/3 grams.
Answer:B
Answer: B
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/14
Options:
A)a) 12
B)b) 6
C)c) 10
D)d) 16
E)e) 18
Rationale: It seems that the accepted answer is wrong, according to WolframAlpha. The answer should be 28, which isn't even listed as a selectable answer.
E
Answer: E
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 44 with him, what was the average amount with the group before his joining the group?
Options:
A)s.16
B)s.14
C)s.15
D)s.22
E)s.12
Rationale: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 44. So, the amount with remaining 6 people = 140 - 44 = Rs. 96
The average amount with them = 96/6 = Rs.16.
Answer:A
Answer: A
Question: A student traveled 30 percent of the distance of the trip alone, continued another 40 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip?
Options:
A)120
B)140
C)160
D)180
E)200
Rationale: Let x be the total length of the trip.
0.3x + 40 miles + 0.5x = x
40 miles = 0.2x
x = 200 miles
The answer is E.
Answer: E
Question: Solution for 1.35+.123+.321
Options:
A)2.91
B)1.794
C)1.338
D)1.986
E)1.999
Rationale: 1.35+.123+.321=0
0=0-1.35-0.123-0.321
0=-1.794
answer :B
Answer: B
Question: By selling 24 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Options:
A)16
B)7
C)6
D)4
E)9
Rationale: 80% --- 24
120% --- ?
80/120 * 24
= 16
Answer:A
Answer: A
Question: Solution X is 40% chemical A and 60% chemical B by volume. Solution Y is 50% chemical A and 50% chemical B by volume. If a mixture of X and Y is 47% chemical A, what percent of the mixture is Solution X?
Options:
A)15%
B)20%
C)25%
D)30%
E)35%
Rationale: The volume of the mixture be X+Y.
0.4X +0.5Y=0.47(X+Y)
X=3Y/7
X/(X+Y)=(3Y/7) / (10Y/7)=3/10=30%.
The answer is D.
Answer: D