divelab/Sys2Bench huggingface dataset:
Question: John can row at 5 kmph and still water. He takes 5 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Options:
A)28 km
B)12 km
C)16 km
D)30 km
E)20 km
Rationale: Let the distance between A and B be x km.
Total time = x/(5 + 1) + x/(5 - 1) = 5
=> x/6 + x/4 = 4 => (2x + 3x)/12 = 5 => x = 12 km.
ANSWER:B
Answer: B
Question: Read the following three equations:
5 ~ 4 ~ 3 ~ 9 = 4215
6 ~ 9 ~ 2 ~ 6 = 3816
4 ~ 7 ~ 3 ~ 3 = 1122
Now based on the rule that has been used, solve the following equation:
6 ~ 2 ~ 7 ~ 4 = ____
Options:
A)2414
B)2910
C)2940
D)3749
E)4470
Rationale: A
2414
2414
The rule that is being followed here is
P ~ Q ~ R ~ S = [first digit of (P * S)] [last digit of (Q * R)] [first digit of (Q * R)] [last digit of (P * S)]
Using the same rule in the incomplete equation,
6 ~ 2 ~ 7 ~ 4 = [first digit of (6 * 4)] [last digit of (2 * 7)] [first digit of (2 * 7)] [last digit of (6 * 4)]
= 2414
Thus 2414 is the missing number.
Answer: A
Question: The population of a town increased from 1,75,000 to 2,62,500 in a decade. What is the average percent increase of population per year?
Options:
A)5%
B)6%
C)7%
D)2%
E)8%
Rationale: increase = 262500 - 175000 = 87500
% increase in 10 yrs
= 87500/175000*100 = 50%
avg = 50/10 = 5%
ANSWER A
Answer: A
Question: A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase R in sales?
Options:
A) 2%
B) 17%
C) 20%
D) 65%
E) 83%
Rationale: Last year's sales = $320 million;
This year's sales = $385 million;
Increase R = $65 million.
Now, 20% of $320 million is $64 million, which is very close to actual increase of $65 million.
Answer: C.
Answer: C
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Options:
A)8 1/9 %
B)8 9/3 %
C)8 1/3 %
D)32 1/3 %
E)8 7/3 %
Rationale: C.P. of 1 kg = 420/7 = Rs. 6
S.P. of 1 kg = Rs. 6.50
Gain % = 0.50/6 * 100 = 25/3 = 8 1/3 %
Answer: C
Answer: C
Question: A and B together can do a work in 4 days. If A alone can do it in 20 days. In how many days can B alone do it?
Options:
A)11
B)5
C)6
D)8
E)25
Rationale: B
5
1/4 â€“ 1/20 = 1/5 => 5
Answer: B
Question: If a and b are positive integers and a/b=0 then which of the following give positive Numbers and CANNOT be zero?
Options:
A)ab/ba
B)a/b-b/a
C)b/a-a/b
D)(a^2 -b^2)/ab
E)a/b
Rationale: (D) (a^2 -b^2)/ab = a/b-b/a gives negative value.
The option C is Answer.
(C)a/b-b/a
If a/b=0, b/a gives positive numbers.(a and b are positive integers)
Answer: C
Question: For which of the following values of s is (30+s)/s an integer?
Options:
A)3
B)4
C)9
D)11
E)30
Rationale: This problem has to be solved by checking the options
(30 + s)/s
For this entity to be an integer, 50 + s should be divisible by s
Option A:33/3 - Not an Integer
Option B: 34/4 - Not an Integer
Option C: 39/9 - Not an integer
Option D: 41/11 - Not an integer
Option E - 60/30 - Integer
Correct Option: E
Answer: E
Question: In the decimal notation of number (223)3(223)3, what is the third digit to the right of the decimal point?
Options:
A)0
B)1
C)2
D)4
E)8
Rationale: Because (2/23)3<(2/20)3=(1/10)3=0.001, the third digit to the right of the decimal point in the decimal notation of (2/23)3 is 0.
Answer: A
Answer: A
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 2500. The difference between the profit shares of A and C is?
Options:
A)621
B)276
C)236
D)1000
E)211
Rationale: Explanation:
Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6
And also given that, profit share of B is Rs. 2500
=> 5 parts out of 15 parts is Rs. 2500
Now, required difference is 6 - 4 = 2 parts
Required difference = 2/5 (2500) = Rs. 1000
Answer: D
Answer: D
Question: If 15% of A is the same as 40% of B, then A : B is :
Options:
A)5:4
B)8:3
C)7:16
D)2:17
E)3:5
Rationale: Expl : 15% of A I= 40 % of B =15A/100 = 40B/100 = 8/3 = 8:3
Answer:B
Answer: B
Question: If y exceeds x by 20%, then x is less than y by?
Options:
A)16 8/3%
B)16 9/3%
C)16 2/3%
D)16 2/9%
E)13 2/3%
Rationale: X=100	y=120
120------20
100-------? => 16 2/3%
Answer:C
Answer: C
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Options:
A)150
B)88
C)270
D)62
E)52
Rationale: Length of the train be â€˜Xâ€™
X + 120/15 = X + 250/20
4X + 480 = 3X + 750
X = 270m
Answer: C
Answer: C
Question: A shopkeeper offers 2.5% discount on cash purchases. What cash amount would Rohan pay for a cycle the marked price of which is $650?
Options:
A)$523.89
B)$600.25
C)$710.45
D)$690.63
E)$633.75
Rationale: S.P. = 97 1/2% of $650 = 195/2 * 1/100 * 650 = $633.75
Answer is E
Answer: E
Question: z is a positive integer and multiple of 2; v = 4^z, what is the remainder when v is divided by 10?
Options:
A)10
B)6
C)4
D)0
E)It Cannot Be Determined
Rationale: It is essential to recognize that the remainder when an integer is divided by 10 is simply the units digit of that integer. To help see this, consider the following examples:
4/10 is 0 with a remainder of 4
14/10 is 1 with a remainder of 4
5/10 is 0 with a remainder of 5
105/10 is 10 with a remainder of 5
It is also essential to remember that the z is a positive integer and multiple of 2. Any integer that is a multiple of 2 is an even number. So, z must be a positive even integer.
With these two observations, the question can be simplified to:what is the units digit of 4 raised to an even positive integer?
The units digit of 4 raised to an integer follows a specific repeating pattern:
4^1 = 4
4^2 = 16
4^3 = 64
4^4 = 256
4^(odd number) --> units digit of 4
4^(even number) --> units digit of 6
There is a clear pattern regarding the units digit. 4 raised to any odd integer has a units digit of 4 while 4 raised to any even integer has a units digit of 6.
Since z must be an even integer, the units digit of v=4^z will always be 6. Consequently, the remainder when v=4^z is divided by 10 will always be 6.
In case this is too theoretical, consider the following examples:
z=2 --> v=4^z=16 --> v/10 = 1 with a remainder of 6
z=4 --> v=4^z=256 --> v/10 = 25 with a remainder of 6
z=6 --> v=4^z=4096 --> v/10 = 409 with a remainder of 6
z=8 --> v=4^z=65536 --> v/10 = 6553 with a remainder of 6
Answer: B.
Answer: B
Question: The CI on Rs. 30,000 at 7% per year is Rs. 4347. The period is?
Options:
A)1 year
B)2 years
C)3 years
D)4 years
E)5 years
Rationale: Amount = Rs. (30000 + 4347) = Rs. 34347.
Let the time be n years.
Then, 30000 1 +	7 n	= 34347
100
107 n	=	34347	=	11449	= 107 2
100	30000	10000	100
n = 2 years
B
Answer: B
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Options:
A)37 km/hr
B)50 km/hr
C)36 km/hr
D)26 km/hr
E)87 km/hr
Rationale: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45 => x = 50 km/hr.
Answer:B
Answer: B
Question: A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction R of the selected films are in color?
Options:
A)1/130
B)1/5
C)3/13
D)10/13
E)30/31
Rationale: It's y/xpercentnot y/x.
If x=20 and y=10. Then:
20x=400 black-and-white films;
6y=60 color films.
y/x%=10/20%=0.5% of the black-and-white films, so 2 black-and-white films and all 60 color films, thus total of 62 films were selected.
Color films thus compose R=60/62=30/31 of the selected films.
Answer: E.
Answer: E
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Options:
A)2
B)7
C)5
D)4
E)8
Rationale: S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4)
= 2
x = 8
Answer: E
Answer: E
Question: Find Next Number in the Series
2 9 3 1 8 4 3 6 5 7 ?
Options:
A)6
B)8
C)10
D)11
E)2
Rationale: E
2
This single sequence in fact consists of two Series:
The first Series is 2-3-4-5-...
and
The second Series is 9-18-36-72-... .
Answer: E
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Options:
A)11
B)12
C)77
D)88
E)91
Rationale: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (120 + 120)/20 = 12 sec.Answer: B
Answer: B
Question: A contractor undertook to do a piece of work in 9 days. He employed certain number of laboures but 6 of them were absent from the very first day and the rest could finish the work in only 15 days. Find the number of men originally employed .
Options:
A)15
B)6
C)13
D)9
E)None of these
Rationale: Let the number of men originally employed be x.
9x = 15(x – 6)
or x = 15
Answer A
Answer: A
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 ?
Options:
A)1/5
B)1/2
C)1/9
D)1/8
E)1/2
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
Question: 10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?
Options:
A)2
B)20
C)50
D)100
E)1024
Rationale: 1)there are 10 speeches in ONE topic and 10 in OTHER..
2)there is a specific order for topics, so
a) both the topics are to be spoken on- so ONE from each
b) the order does not matter since there is ONLY one specific order..
so 10C1∗10C1=10∗10=100
ANSWER:D
Answer: D
Question: In how many ways can 4 indistinguishable red balls and 2 different blue balls be arranged in a line?
Options:
A)6!
B)30
C)40
D)6!/2!
E)4!/2!
Rationale: The total number of ways in which a total N items, out of which p are identical of one type, q are identical of another type and rest are different, can be arranged in a line is N!/{p!q!}
In the given problem, we have 6 balls out of which 4 are identical.
Hence the number of arrangements possible are 6!/4! = 30
Ans B
Answer: B
Question: To be eligible for retirement benefits at the Sieman Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 64. If x, where x <64, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
Options:
A)x+2y=64
B)xy=64
C)2x+y=64
D)x+y=64
E)2x+2y=64
Rationale: We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.
Now,after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus{age after y years}+{employment years}=(x+y)+y=x+2y=64.
Answer: A
Answer: A
Question: Barbara has 8 shirts and 12 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
Options:
A)126
B)120
C)101
D)112
E)115
Rationale: 8 shirts
9 pants
we can combine 2 shirts with (12-3) pants
2*9=18
we can combine the other shirts (6) with any pants (9)
9*12=54
Thus total :108+18=126	ANS:A
Answer: A
Question: In the first 20 overs of a cricket game, the run rate was only 4.2. What should be the run rate in the remaining 30 Overs to reach the target of 324 runs?
Options:
A)7.25
B)8.5
C)8
D)9.15
E)10
Rationale: Explanation :
Required run rate = (324 - 4.2 20 ) = 240/ 30 = 8.
Answer : C
Answer: C
Question: The average weight of 8 person's increases by 4.2 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
Options:
A)75 Kg
B)50 Kg
C)85 Kg
D)80 Kg
E)98.6 KG
Rationale: Explanation:
Total increase in weight = 8 Ã— 4.2 = 33.6
If x is the weight of the new person, total increase in weight = xâˆ’65
=> 33.6 = x - 65
=> x = 33.6 + 65 = 98.6
Answer: Option E
Answer: E
Question: In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
Options:
A)25
B)40
C)35
D)60
E)55
Rationale: The first letter can be posted in any of the 3 post boxes. Therefore, we have 3 possibilities.
Similarly, the second, the third, the fourth and the fifth letter can each be posted in any of the 3 post boxes.
Each of the 5 letters has 3 possibilities because we can post any number of letters in all of the boxes.
Therefore, the total number of ways the 5 letters can be posted in 3 boxes is
3 * 3 * 3 * 3 * 3 = 35
Ans: C
Answer: C
Question: A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively.The length of the train is:
Options:
A)35M
B)45M
C)55M
D)50M
E)40M
Rationale: 2 kmph = ( 2 x 5/18) m/sec = 5/9 m/sec.
4 kmph = ( 4 x 5/18)m/sec = 10/9 m/sec.
Let the length of the train be x metres and its speed by y m/sec.
Then, ( x / y-5) = 9 and x / (y-10/ 9) = 10.
Therefore 9y - 5 = x and 10(9y - 10) = 9x
=9y - x = 5 and 90y - 9x = 100.
On solving, we get: x = 50 ANSWER : D
Answer: D
Question: A movie buff owns movies on DVD and on Blu-ray in a ratio of 9:2. If she buys 2 more Blu-ray movies, that ratio would change to 17:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?
Options:
A)22
B)28
C)77
D)99
E)187
Rationale: if u can just keep an eye on the options
99 is the only multiple of 9 in options given .. SO you can mark it wid in seconds.
Now coming to the process m(D) = 9x and b(D) = 2x
now from the next line the new eqn becomes 9x/ (2x + 2) = 17/4
Solving it 36x = 34x + 34x =17
which means m (d) = 153 and b(d) = 34
SO total initially is m(d) + b(d) = 187
E
Answer: E
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 385 but three tickets from city A to B and two tickets from city A to C cost Rs. 365. What are the fares for cities B and C from A ?
Options:
A)s. 4, Rs. 23
B)s. 13, Rs. 17
C)s. 15, Rs. 14
D)s. 17, Rs. 13
E)s. 65, Rs. 85
Rationale: If fares for cities B and C from A are x and y respectively, then
2x+3y=385 or 6x+9y= 1155
3x+2y =365 or 6x+4y= 730
subtracting
5y = 425
y= Rs 85
Hence E. Rs. 65, Rs. 85
ANSWER:E
Answer: E
Question: 36, 34, 30, 28, 24, 22, 18, 16, ?
Options:
A)12
B)10
C)8
D)6
E)4
Rationale: This is an alternating number subtraction series. The pattern is -2, -4, -2, ....
The answer is A.
Answer: A
Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Options:
A)7500
B)8500
C)9000
D)8000
E)None of these
Rationale: Explanation :
A : B : C = 20000*24 : 15000*24 : 20000*18 = 20*4 : 15*4 : 20*3
= 4*4 : 3*4 : 4*3
= 4:3:3
B's Share = 25000 * 3/10 = 7500. Answer : Option A
Answer: A
Question: There were two candidates in an election. Winner candidate received 54% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Options:
A)776
B)1944
C)2199
D)2157
E)2125
Rationale: W = 54% L = 46%
54% - 46% = 8%
8% -------- 288
54% -------- ? => 1944
Answer:B
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 400 m long?
Options:
A)266 Sec
B)160 Sec
C)776 Sec
D)166 Sec
E)997 Sec
Rationale: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1600 m
T = D/S
T = 1600/10
T = 160 Sec
Answer: B
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Options:
A)3/98
B)2/28
C)2/21
D)2/29
E)2/24
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 * 2)/(15 * 14) = 1/35
Probability that both are yellow = ²C₂/¹⁵C₂ = (2 * 1)/(15 * 14) = 1/105
Probability that one blue and other is yellow = (³C₁ * ²C₁)/¹⁵C₂ = (2 * 3 * 2)/(15 * 14) = 2/35
Required probability = 1/35 + 1/105 + 2/35
= 3/35 + 1/105 = 1/35(3 + 1/3)
= 10/(3 * 35) = 2/21
Answer:C
Answer: C
Question: How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
Options:
A)496
B)486
C)1084
D)728
E)628
Rationale: The number of single digit numbers = 2
The number of 2 digit numbers = 2 × 3 = 6
The number of 3 digit numbers = 2 × 3 × 3 = 18
The number of 4 digit numbers = 2 × 3 × 3 × 3 = 54
The number of 5 digit numbers = 2 × 3 × 3 × 3 × 3 = 162
The number of 6 digit numbers = 2 × 3 × 3 × 3 × 3 × 3 = 486
Therefore, the total numbers = 728
ANSWER:D
Answer: D
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Options:
A)10 / 21
B)11 / 21
C)2 / 7
D)5 / 7
E)6 / 7
Rationale: Total number of balls = (2 + 3 + 2) = 7.
Let S be the sample space.
Then, n(S)	= Number of ways of drawing 2 balls out of 7
= 7C2 `
=(7 x 6)/(2 x 1)
= 21.
Let E = Event of drawing 2 balls, none of which is blue.
n(E)	= Number of ways of drawing 2 balls out of (2 + 3) balls.= 5C2 =	(5 x 4)/(2 x 1) = 10.
P(E) =	n(E)/n(S)	=	10/21
Answer: A.
Answer: A
Question: There are 750 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Options:
A)150
B)135
C)160
D)125
E)None
Rationale: Explanation :
Let m be the number of male participants and f be the number of female articipants in the meeting.
Thetotal number of participants is given as 750.
Hence, we have m+f= 750
Now, we have that half the female participants and one-quarter of the male participants are
Democrats.
Let d equal the number of the Democrats.
Then we have the equation f/2 + m/4 =d
Now, we have that one-third of the total participants are Democrats. Hence, we have the equation
=> d = 750/3 = 250
Solving the three equations yields the solution
=> f = 250,m= 500, and d= 250.
The number of female democratic participants equals half the female participants equals
=> 250/2 = 125.
Hence (D) is the correct answer.
Answer : D
Answer: D
Question: On the first day of her vacation, Louisa traveled 100 miles. On the second day, traveling at the same average speed, she traveled 175 miles. If the 100-mile trip took 3 hours less than the 175-mile trip, what was the average speed, in miles per hour?
Options:
A)27
B)28
C)25
D)30
E)35
Rationale: (time)*(rate) = (distance)-->(rate) = (distance)/(time)--> given:(rate) = 100/t = 175/(t+3)-->4/t = 7/(t+3)-->4t+12=7t ---->3t= 12 . t= 4 ---->(rate ) = 100/4 = 25
Answer: C
Answer: C
Question: The instructions state that Cheryl needs 5/11 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 25/55 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Options:
A)1/12
B)1/9
C)1 2/3
D)2/3
E)2 1/9
Rationale: total bought = 5/11+2/3
left part 25/55--->5/11
so used part 5/11+2/3-5/11=2/3
Ans D
Answer: D
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams. Find the profit percent.
Options:
A)1.05
B)1.06
C)1.01
D)1.08
E)1.09
Rationale: Explanation:
(100 + g) / (100 + x) = True measure / Faulty measure
x = 0
true measure = 1000
faulty measure = 990
100 + g / 100 + 0 = 1000 / 990
100+g = 100/99*100
g = 1.01
ANSWER: C
Answer: C
Question: In the recent, science conference in New York, out of 400 men, 1100 women, 300 children present inside the building premises, 40% of the men, 30% of the women and 20% of the children were Indians. Find the percentage of people who were Indian?
Options:
A)37.22%
B)28.66%
C)34.55%
D)33.55%
E)30.55%
Rationale: Solution: Number of Indians men present there = 400*40/100 = 160
Indian women = 1100*30/100 = 330
Indian children = 300*20/100 = 60.
Total member present in science conference = 400+1100+300=1800
Total Indian = 160+330+60 = 550
Hence, % of Indian present there = 550*100/1800 = 30.55%
Answer E
Answer: E
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
Options:
A)9%
B)6%
C)4%
D)2%
E)1%
Rationale: 150 = (750*5*R)/100
R = 4%
Answer: C
Answer: C
Question: On a purchase of $127, a store offered a payment plan consisting of a $27 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
Options:
A)18.3%
B)15.3%
C)21.3%
D)22.3%
E)25.3%
Rationale: 12*10 + 27 = 147
(27/127)* 100 = 21.3
Answer : C
Answer: C
Question: A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt?
Options:
A)680rs
B)540rs
C)480rs
D)640rs
E)280rs
Rationale: area of theplot = 110 * 65 = 7150 sq m
area of the plot excluding the path = (110-5)* (65-5) = 6300 sq m
area of the path = 7150 - 6300 =850 sq m
cost of gravelling the path = 850 * 80/100 = 680 Rs
Answer: A
Answer: A
Question: A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 4320 interest. The principal amount borrowed by him was.
Options:
A)Rs 14000
B)Rs 15000
C)Rs 12000
D)Rs 17000
E)None of these
Rationale: Explanation:
S.I.=Pâˆ—Râˆ—T/100
=>P=S.I.âˆ—100/Râˆ—T
=>P=4320âˆ—100/12âˆ—3=Rs12000
Option C
Answer: C
Question: Walking 7/6 of his usual rate, a boy reaches his school 3 min early. Find his usual time to reach the school?
Options:
A)21
B)28
C)99
D)77
E)66
Rationale: Speed Ratio = 1:7/6 = 6:7
Time Ratio = 7:6
1 -------- 7
3 --------- ?
= 21 m
Answer:A
Answer: A
Question: Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 4 hours and machine Y produces k bottles in 5 hours. How many hours does it take machines X and Y , working simultaneously , to produce 10k bottles?
Options:
A) 8 2/3
B) 12 5/3
C) 15
D) 18
E) 22 2/9
Rationale: x rate = k/4
y rate = k/5
k/4 + k/5 = 10k / T
solving T = 200/9 = 22 (2/9)
Answer E
Answer: E
Question: How many pairs of letters are there in the word INSTITUTE which have as many letters between them in the word as in the English alphabet?
Options:
A)6
B)2
C)1
D)3
E)7
Rationale: N _ _ _ _ _T
ST
TU
so total= 3
ANSWER:D
Answer: D
Question: P, Q and R can do a work in 6 , 9 and 12 days respectively. They completed the work and got Rs.195. What is the share of P?
Options:
A)80
B)70
C)85
D)90
E)95
Rationale: The ratio of their working rates = 1/6 : 1/9 : 1/12 = 6 : 4 : 3.
Since, they work together, the share of P
= 6/13 * 195 = Rs.90
Answer: D
Answer: D
Question: A table is bought for Rs.500/- and sold at Rs.600/- find gain or loss percentage
Options:
A)25% gain
B)20% gain
C)20% loss
D)15% gain
E)None
Rationale: Formula = (Selling price ~ Cost price)/Cost price * 100
= (600 - 500)/500 = 20% gain
B
Answer: B
Question: There are 10 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Options:
A)1620
B)1820
C)2060
D)2440
E)2680
Rationale: 10C2 * 9C2 = 45*36 = 1620
The answer is A.
Answer: A