divelab/Sys2Bench huggingface dataset:
Question: In how many different number of ways a Committee of 2person of can be selected from 2boys and 2girls such that at least 1 girl is included in the committe
Options:
A)3
B)4
C)2
D)5
E)9
Rationale: 1G 1B 2G
= (2C1*2C1)+2C2
= (2*2)+1
= 5
Total 2M 2W
4C2=6
2C2=1
At least one girl = total - with out girl
At least one girl = 6-1=5
D)
Answer: D
Question: If n is a natural number, then 6n^2 + 6n is always divisible by?
Options:
A)6 only
B)6 and 12
C)12 only
D)18 only
E)20 only
Rationale: 6n^2 + 6n = 6n(n+1), which is always divisible by 6 and 12 both, since n(n+1) is always even.
Answer is B
Answer: B
Question: A board 5ft. 2 inches long is divided into 3 equal parts . What is the length of each part?
Options:
A)5ft. 7 inches
B)3ft. 7 inches
C)4ft. 7 inches
D)1ft. 8.7 inches
E)1ft. 7 inches
Rationale: Length of board=5ft. 2 inches=(5*12+2)inches=62 inches.
Therefore, Length of each part = (62/3) inches = 20.7 inches = 1ft. 8.7 inches
Answer is D.
Answer: D
Question: A train is moving at a speed of 50km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
Options:
A)30sec
B)45sec
C)36sec
D)29sec
E)52sec
Rationale: Speed of the train = 50*5/18 = 250/18 m/sec
Distance moved in passing the standing man = 500m
Required time taken = 500/(250/18) = 500*18/250 = 36sec
Answer is C
Answer: C
Question: William is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be Coconut oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If William accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be Coconut oil?
Options:
A)15/29
B)5/8
C)5/16
D)1/2
E)13/27
Rationale: Coconut oil = 5/8 = 15/24 --> 15 parts out of 24;
Vinegar = 1/4 = 6/24 --> 6 parts out of 24;
Salt + pepper + sugar = 1-(15/24+6/24)= 3/24, so each = 1/24 --> 1 part out of 24 each;
If vinegar = 12 (instead of 6) and sugar = 0 (instead of 1) then total = 15+12+1+1+0 = 29 parts out of which 15 parts are Coconut oil --> proportion = 15/29.
Answer: A.
Answer: A
Question: A third of Arun’s marks in mathematics exeeds a half of his marks in english by 80.if he got 240 marks In two subjects together how many marks did he got inh english?
Options:
A)120,60
B)180,60
C)180,90
D)120,40
E)None of them
Rationale: Let Arun’s marks in mathematics and english be x and y
Then 1/3x-1/2y=30
2x-3y=180……>(1)
x+y=240…….>(2)
solving (1) and (2)
x=180
and y=60
Answer is B.
Answer: B
Question: Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $400 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value of his total savings before investing in these two bonds?
Options:
A)3000
B)5000
C)2000
D)4000
E)6000
Rationale: So, we know that Shawn received 20% of the amount he invested in a year. We also know that in one year Shawn received $200, thus 0.2x = $200 --> x = $1,000.
Since, he invested equal sums in his 2 bonds, then his total savings before investing was 2*$1,000 = $2,000.
Answer:C
Answer: C
Question: If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
Options:
A)589
B)580
C)585
D)582
E)523
Rationale: 90 = (450*4*R)/100
R = 5%
I = (450*6*5)/100 = 135
450 + 135 = 585
Answer:C
Answer: C
Question: A train 105 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Options:
A)22
B)50
C)42.8
D)288
E)12
Rationale: Speed of the train relative to man = (105/10) m/sec = (21/2) m/sec. [(21/2) * (18/5)] km/hr = 37.8 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 37.8 ==> x = 42.8 km/hr.Answer: C
Answer: C
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)5/28
C)5/22
D)5/23
E)5/20
Rationale: Explanation:
Number of ways of (selecting at least two couples among five people selected) =
As remaining person can be any one among three couples left.
Required probability =
= (10 * 6)/252 = 5/21
Answer: A
Answer: A
Question: If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed
Options:
A)1) A and E
B)2) A and D
C)3) A,C,D
D)4) All of them
E)5) None of them
Rationale: Here answer will be (A).
There are 10 equidistant numbers on the number line.
Mean and median will be the average of middle two numbers.
If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers. Only options that remove a digit or digits from one side of the middle two numbers will result in change of mean and median.
Answer: A
Question: In a certain town, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of NY Mets fans to Boston Red Sox fans is 4:5. If there are 360 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets fans are there in this town?
Options:
A)96
B)108
C)120
D)132
E)140
Rationale: The ratio of Yankees:Mets:Red Sox = 6:4:5
The Mets fans are 4/15 of the population.
(4/15)*360 = 96
The answer is A.
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Options:
A)120 cm2
B)765 cm2
C)216 cm2
D)197 cm2
E)275 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 * 10
= 120 cm2
Answer: A
Answer: A
Question: In a kilometer race, A beats B by 80 meters or 10 seconds. What time does A take to complete the race?
Options:
A)180 sec
B)190 sec
C)115 sec
D)490 sec
E)390 sec
Rationale: Time taken by B run 1000 meters = (1000 * 10)/80
= 125 sec.
Time taken by A = 125 - 10
= 115 sec.
Answer:C
Answer: C
Question: There are 30 socks in a drawer. Sixty percent of the socks are red, and the rest are blue. What`s the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least 2 blue socks have been chosen?
Options:
A)- 2
B)- 3
C)- 14
D)- 19
E)- 20
Rationale: This is actually not a probability problem. Instead, it is an optimization problem, a minor type of question on GMAT.
Your first step is to calculate 60% of 30, which yields 18. Now, you must be sure you picked at least 2 blue socks. The only way is to pick all the other socks plus 2 blue socks. In this case, you would have to pick 18 red socks plus the 2 blue ones. Hence, answer is 20. If you had 4 green, 6 yellow and 8 red socks, the answer would be the same. You would have to pick all of those pluse 2 blue ones.answer is E
Answer: E
Question: Find the average of all numbers between 3 and 69 which are divisible by 5
Options:
A)15
B)20
C)25
D)30
E)35
Rationale: Explanation:
Average=(5+10+15+20+25+30+35+40+45+50+55+60+65)/13=455/13=35
Answer: Option E
Answer: E
Question: The sum of two prime numbers is 85. What is the product of these two prime
numbers?
Options:
A)85
B)91
C)115
D)133
E)166
Rationale: Since there is only one even prime number (2), and the sum of two odd numbers is
even, the product of these two numbers must be even.
correct answer E
Answer: E
Question: The difference between simple interest and the compound interest on Rs.600 for 1 year at 10% per annum, reckoned half-yearly is :
Options:
A)Nil
B)Rs.6.60
C)Rs.4.40
D)Rs.1.50
E)Cannot be determined
Rationale: Explanation:
S.I = Rs. (600×10×1/100) = Rs.60
C.I = Rs. [600×(1+5/100)2−600] = Rs.61.50
Difference = Rs.(61.50-60) = Rs.1.50
Correct Option: D
Answer: D
Question: How many numbers from 10 to 1000 are exactly divisible by 9?
Options:
A)100
B)10
C)11
D)12
E)14
Rationale: 10/9 = 1 and 1000/9 = 111 ==> 111 - 1 = 100. Therefore 100
Answer : A
Answer: A
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Options:
A)8000
B)9000
C)7000
D)10000
E)11000
Rationale: Sol. Income in first year = * x 42000 = Rs. 24000
Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (21000 + 35000)
= 66000 - S6000 = Rs. 10000
D
Answer: D
Question: How many times the keys of a writer have to be pressed in order to write first 500 counting no's?
Options:
A)1372
B)1382
C)1392
D)1362
E)1352
Rationale: 1 to 9 = 9 * 1 = 9
10 to 99 = 90 * 2 = 180
100 to 500 = 401 * 3 = 1203
-----------
1392
C
Answer: C
Question: In a certain sequence, the first term is 4, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Options:
A)13/8
B)23/14
C)8/5
D)5/8
E)8/13
Rationale: let five terms in the sequence be a,b,c,d,e
a=4
b= 1+1/4=5/4
c=1+4/5= 9/5
d= 1+5/9 = 14/9
e= 1+9/14 = 23/14
hence answer should be B.
Answer: B
Question: Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 54, find the ages of Toby and Debby?
Options:
A)10 and 14
B)5 and 9
C)5 and 10
D)6 and 10
E)7 and 11
Rationale: Let the age of Debby be x and Toby be x-4
3 ( x + x-4 ) = 54
x = 11
The ages of Toby and Debby are 7 and 11.
Answer : E
Answer: E
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 11 inclusive?
Options:
A)420
B)840
C)1260
D)2520
E)27,720
Rationale: We have to find the LCM of 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, and 11.
The LCM is 1*2^3*3^2*5*7*11= 27,720
The answer is E.
Answer: E
Question: A tap can fill a tank in 10 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
Options:
A)1 hr 20 min
B)4 hr
C)3 hr
D)6 hr 40 min
E)2 hr 50 min
Rationale: Explanation:
1 tap can fill the tank in 10 hours.
Therefore
1 tap can fill half tank in 5 hours.
3 taps can fill the tank in 10/3 hour.
Therefore
3 taps can fill half tank in 10/6 hour =1 hour 40 minutes.
Total time taken=6 hour 40 minutes
Answer: Option D
Answer: D
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Options:
A)22 sec
B)89 sec
C)77 sec
D)99 sec
E)55 sec
Rationale: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10 = 89 sec.
Answer:B
Answer: B
Question: John buys a bike for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent?
Options:
A)5 5/9%
B)5 5/11%
C)6%
D)6 6/11%
E)6 7/13%
Rationale: Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.
Selling Price (S.P.) = Rs. 5800.
Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.
Gain % = 300	x 100	%	= 5 5/11%
5500
Answer B
Answer: B
Question: By selling 18 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Options:
A)27
B)26
C)25
D)23
E)21
Rationale: 80% --- 18
120% --- ?
80/120 * 18 = 27
Answer:A
Answer: A
Question: If the speed of a man is 51 km per hour, then what is the distance traveled by him in 30 seconds ?
Options:
A)275m
B)360m
C)375 m
D)425 m
E)440 m
Rationale: The distance traveled in 30 sec = 51*(5/18) *30 =425m
ANSWER:D
Answer: D
Question: A work as fast as B. If B can complete a work in 16days independently,the number of days in which A and B can together finish the work in?
Options:
A)2days
B)3days
C)4days
D)5 1/3days
E)6days
Rationale: Ratio of rates of working of A and B = 2:1
ratio of times taken = 1:2
A's 1day work = 1/8
B's 1day work = 1/16
A+B 1day work = 1/8 + 1/16 = 3/16 => 16/3 = 5 1/3
A and B can finish the work in 5 1/3 days
Answer is D
Answer: D
Question: Working alone at its constant rate, machine A produces x boxes in 5 minutes and working alone at its constant rate, machine B produces 2x boxes in 10 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes?
Options:
A)3 minutes
B)7.5 minutes
C)5 minutes
D)6 minutes
E)12 minutes
Rationale: Rate = Work / Time
Given Rate of Machine A = 2X / 10 min
Machine B Produces 2x boxes in 10 min hence , Machine B produces 2x boxes in 10 min .
Rate of Machine B = 2x / 10
we need tofind the combined time that machines A and B, working simultaneouslytakeat their respective constant rates
let's first find the combined Rate of Machine A and B
Rate of Machine A = 2X / 10 min + Rate of Machine B = 2x / 10 = 4X/10
Now combine Time = combine work needs to be done / Combine Rate = 3x/4x * 10 = 7.5 Min
Ans: B
Answer: B
Question: Calculate how many ways a woman who has 2 bags and 5 books can put the books in her bag?
Options:
A)39
B)32
C)29
D)30
E)31
Rationale: First paper can be put in 2 ways, similarly second, third, forth, and fifth books also can be put in 2 ways.
So total number of ways = 2 x 2 x 2 x 2 x 2 = 32
B
Answer: B
Question: Mudit's age 22 years hence will be thrice his age four years ago. Find Mudit's present age?
Options:
A)12
B)17
C)27
D)18
E)15
Rationale: Explanation:
Let Mudit's present age be 'm' years.
m + 22 = 3(m - 4)
=> 2m = 34 => m = 17 years.
Answer:B
Answer: B
Question: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Options:
A)9%loss
B)2%loss
C)7%loss
D)8%loss
E)1%loss
Rationale: Explanation:
(30*30)/100
= 9%loss
Answer:A
Answer: A
Question: Three people (1 couple and 1 single) are seated at random in a row of 7 chairs. What is the probability that the couple does not sit together?
Options:
A)3/7
B)4/7
C)5/7
D)6/7
E)9/14
Rationale: The total number of arrangements of 3 people is 7*6*5 = 210
Let's think of the couple as a single unit.
The number of arrangements when the couple sits together is 6*5*2 = 60.
Note that we multiply by 2 because the couple can switch places with each other.
The number of ways the couple won't sit together is 210 - 60 = 150
P(couple won't sit together) = 150/210 = 5/7
The answer is C.
Answer: C
Question: If 7 boys can color 56 m long cloth in 1 day, then 6 boys can color 36 m long cloth in
Options:
A)day
B)days
C)days
D)days
E)days
Rationale: The length of cloth painted by one boy in one day = 56 / 7 × 1 = 8 m
No. of days required to paint 36 m cloth by 6 boys = 36/ 8 × 6 = 3/4 day.
A)
Answer: A
Question: The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?
Options:
A)80% p.a
B)100% p.a.
C)40% p.a
D)44% p.a
E)50% p.a
Rationale: Given that Rs.10,000 is invested in S.I for two years and Rs.8,000 in C.I for two years
=> C.I - S.I
=>9,000 { [1 + r/100]2 - 1} = (10,000)2r /100
=> 9{ 1 + 2r/100 + r2 / (100)2 - 1} = r/5
=> r = 0% of 40%
Since r!= 0%, r =40%
ANSWER:C
Answer: C
Question: At a local appliance manufacturing facility, the workers received a 30% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Options:
A)83%
B)80%
C)23%
D)17%
E)12%
Rationale: Let's say he works usually 10 hours and earns 100 per hour.
10 * 100 = 1000
10 * 130 = 1300 (this are the new earnings after the raise)
To figure out how much he needs to work with the new salary in order to earn the original 1000:
1000/130 = 7.67
So he can reduce his work by 2.33 hours. Which is >23%.
Answer C
Answer: C
Question: Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.
A. 9974
Options:
A)388
B)282
C)378
D)292
E)281
Rationale: Explanation:
Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.
Answer: E
Answer: E
Question: In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to
obtain a mixture worth Rs.16.50 per Kg?
Options:
A)1 : 2
B)2 : 1
C)3 : 7
D)7 : 3
E)None of these
Rationale: Explanation :
By the rule of alligation,we have
CP of 1 kg of 1st variety pulse CP of 1 kg of 2nd variety pulse
15 20
Mean Price
16.5
20-16.5 = 3.5 16.5-15=1.5
Required Ratio = 3.5 : 1.5 = 35 : 15 = 7 : 3
Answer : Option D
Answer: D
Question: In how many ways can the word LEADING arranged if Vowels always come together?
Options:
A)120
B)720
C)60
D)8220
E)100
Rationale: LEADING=Has 3 vowels(EAI) and 4 consonant(LDNG)
Total letters=7
For Consonant=5!(that is 4+1 letters. one comes from the vowels )
=5*4*3*2*1=120 ways
For Vowels=3!=3*2*1=6
Total number of ways=120*6=720 ways
Option B
Answer: B
Question: Find the value of (875 233/899) × 899
Options:
A)786600
B)786658
C)786679
D)786858
E)786890
Rationale: (875 233/899) × 899
(786625 + 233)/899 × 899
786858/899 × 899
786858
D)
Answer: D
Question: Kim finds a 2-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
Options:
A)3/5
B)2/5
C)7/5
D)1/2
E)8/15
Rationale: 3 pieces of 1/5 length and two piece each of 1/15 and 2/15 lengths. removing one piece each from pieces of each kind of lengths the all that will remain will be
2 pieces of 1/5 i.e 2/5, 1 piece of 1/15, and 1 piece of 2/15
Which gives us 2/5 + 1/15 + 2/15 -----> 3/5
Answer is A
Answer: A
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
A)10 kmph
B)11 kmph
C)16 kmph
D)18 kmph
E)19 kmph
Rationale: Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream = (80-60)/2 = 10 kmph.Answer: A
Answer: A
Question: A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor?
Options:
A)222
B)267
C)176
D)287
E)261
Rationale: Explanation:
Area of the room=(544 * 374)
size of largest square tile= H.C.F of 544 & 374 = 34 cm
Area of 1 tile = (34 x 34)
Number of tiles required== [(544 x 374) / (34 x 34)] = 176
Answer: C) 176
Answer: C
Question: If an investor puts $900 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Options:
A)$986.25
B)$988.25
C)$990.25
D)$992.25
E)$994.25
Rationale: 1.05*1.05*900=$992.25
The answer is D.
Answer: D
Question: About the number of pairs which have 16 as their HCF and 136 as their LCM, the conclusion can be
Options:
A)only one such pair exists
B)only two such pairs exist
C)many such pairs exist
D)no such pair exists
E)None of these
Rationale: Explanation:
HCF is always a factor of LCM. ie., HCF always divides LCM perfectly.
Correct Option: D
Answer: D
Question: A car moves at 80 km/hr. What is the speed of the car in meters per second ?
Options:
A)2029msec
B)2229msec
C)2429msec
D)2629msec
E)None of these
Rationale: ExplanaƟon:
Speed=(80
∗
518)m/sec=2009m/sec=2229msec
Answer: B
Answer: B
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4.5 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Options:
A)5729
B)5760
C)2889
D)6480
E)2799
Rationale: 1/x - 1/6 = -1/8
x = 24 hrs
24 * 60 * 4.5 = 6480.Answer: D
Answer: D
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent E of the distribution is less than m +d ?
Options:
A)16%
B)32%
C)48%
D)84%
E)92%
Rationale: D
The prompt says that 68% of the population lies between m-d and m+d.
Thus, 32% of the population is less than m-d or greater than m+d.
Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d.
Thus, E=(68+16)% or (100-16)% of the population is less than m+d.D
Answer: D
Question: If p and r are integers, and p^2 = 14r, then r must be divisible by which of the following?
Options:
A)2
B)4
C)5
D)7
E)14
Rationale: Ans: D
Solution: for p to be an int 14 r must be whole square of a number.
14r= 7*2*r
to make it whole square we need 7
so r can must be divisible by 7y where y is itself a whole square.
so D is the ans
Answer: D
Question: A train covers a certain distance at a speed of 320kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Options:
A)850km/hr
B)800km/hr
C)740km/hr
D)640km/hr
E)600km/hr
Rationale: Explanation:
Distance = 320×4 = 1280km
Required speed = (1280/2) = 640km/hr
Answer: Option D
Answer: D
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 11 m wide at the top and 9 m wide at the bottom and the area of cross-section is 960 sq m, the depth of cannel is?
Options:
A)69
B)92
C)94
D)49
E)96
Rationale: 1/2 * d (11 + 9)
= 960
d = 96
Answer: E
Answer: E
Question: By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain 20 % in the transaction ?
Options:
A)16
B)18
C)20
D)22
E)25
Rationale: Explanation:
Let S.P. of 45 lemons be Rs. x.
Then, 80 : 40 = 120 : x or x =40X120/80=60
For Rs.60, lemons sold = 45
For Rs.24, lemons sold =45/60X24=18.
ANSWER IS B
Answer: B
Question: If Rs.1440/- are divided among A,B and C so that A receives 1/3rd as much as B and B receives 1/4th as much as C. The amount B received is?
Options:
A)250
B)270
C)310
D)330
E)350
Rationale: A:B:C = 1:3:12
Total parts = 16
B's share is = 3 parts
16 -----> 1440
1 -----> 90
3 -----> 270 (B's share is 270)
B)
Answer: B
Question: A football player scores 5 goals in his fifth match thus increasing his average goals score by 0.2. The total number of goals in his 5 matches would be
Options:
A)14
B)16
C)18
D)10
E)21
Rationale: While this question can be solved with a rather straight-forward algebra approach (as the other posters have noted), it can also be solved by TESTing THE ANSWERS. One of those numbers MUST be the total number of goals...
From a tactical standpoint, it's best to TEST either Answer B or Answer D, so if the answer is not correct, then you would have a gauge for whether you should gohigherorlowerwith your next TEST.
Here, I'll start with Answer E =21 goals
If....
Total goals = 21 goals
5th game = 5 goals
1st 4 games = 16 goals
Avg. for 1st 4 games = 16/4 = 4 goal/game
Avg. for all 5 games = 21/5 = 4.2 goals/game
This is an EXACT MATCH for what we're told in the prompt, so Answer E MUST be the answer.
Answer: E
Question: If P(A) = 4/7 and P (B) = 2/5, find P (A n B) if A and B are independent events.
Options:
A)7/25
B)3/25
C)8/35
D)2/13
E)3/17
Rationale: P (A n B) = P(A) . P(B)
P (A n B) = 4/7 . 2/5
P (A n B) = 8/35.
C
Answer: C
Question: If the difference between compound interest (interest compounded yearly) and simple interest on a certain sum at the rate 20% p.a. after 3 years is Rs.1280 then what is the principal?
Options:
A)7900
B)8,000
C)10,000
D)8,300
E)9,300
Rationale: let p is the principal,so p([120/100]^3-1)-p*20/100*3=1280
p[728/1000-3/5]=1280
p=1280*5*1000/728*5-3000=10000
ANSWER:C
Answer: C
Question: An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.20286/- in 3 years at the same rate of interest. Find the rate percentage?
Options:
A)5%
B)7%
C)9%
D)15%
E)12%
Rationale: Explanation:
The difference of two successive amounts must be the simple interest in 1 year on the lower amount of money.
S.I = 20286/- - 17640/- = Rs. 2646/-
Rate of interest = (2646/17640) × (100/1) => 15%
Answer: Option D
Answer: D