divelab/Sys2Bench huggingface dataset:
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Options:
A)50
B)99
C)77
D)61
E)21
Rationale: Let the actual distance traveled be x km. Then,
x/10 = (x + 20)/14
4x - 200 =>x = 50 km.
Answer: A
Answer: A
Question: If the cost price of 20 articles is same as the selling price of 25 articles. Find the gain or loss percentage?
Options:
A)20% Loss
B)30% Loss
C)40% Gain
D)40% Loss
E)50% Loss
Rationale: Explanation:
20 cp = 25 sp
Cost price CP = 25
Selling price SP = 20
Formula = (SP-CP)/CP * 100 = (20 - 25)/25 * 100 = 20 % Loss
Answer: Option A
Answer: A
Question: Three competing juice makers conducted a blind taste test with mall shoppers. The shoppers could choose to taste any number of the three brands of juices but had to select at least one juice that they liked. If 100 shoppers liked brand J, 200 shoppers liked brand K, 700 shoppers liked brand L, 300 shoppers liked exactly 2 juices, and 25 shoppers liked all three juices, how many shoppers took the taste test?
Options:
A)1,300
B)1,000
C)900
D)700
E)650
Rationale: Given: Atleast 1 juice was liked by the participants. --> Neither = 0
Assume, I -->No overlap between the sets
II --> Overlap between 2 sets
III --> Overlap between 3 sets
I + 2*(II) + 3*(III) = 100 + 200 + 700
I + 2*(300) + 3*(25) = 1000
I = 325
Total number of shoppers who took the taste test = I + II + III = 325 + 300 + 25 = 650
Answer: E
Answer: E
Question: A certain sum amount to $1400 in 2 yrs and $2000 in five years on certain fixed simple interest. In how many yrs would the amount be $2440 had it been put at the rate of interest compounded annually?
Options:
A)5
B)4
C)3
D)2
E)1
Rationale: We can form equations as following:
Initial amount = P, Total amount after interest = T, Interest per year = I
T = P+I
Given T1 = P+2I = 1400T2 = P+ 5I = 2000
From this we get, P = 1000I = 200 $
Now we know that simple interest is<Compound interest ( CI = SI only after 1st year if CI is compounded annually)
consider simple interest - after 1st yer it is 200$ , after 2nd years it is 400$ after 3rd yer it is 600$ , after 4th years it is 800$ after 5th years it is 1000$and after 6th year it is 1200$.
To get a 1040 $ compound interest the duration have to be > 4 year and < 6 years.
Only option fitting : Option A.
Answer: A
Question: A parking space have 5 different slots. 5 cars has to arrange in 5 slots. But there are exactly 3 cars between 2 specified cars. In how many ways cars can be arranged?
Options:
A)10
B)12
C)14
D)15
E)16
Rationale: we arranged 2 specified cars in 2 slots = 2!
remaining 3 cars in 3 slots = 3!
number of ways = 2!*3! = 12
correct option is B
Answer: B
Question: In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
Options:
A)2.75
B)3.75
C)4.5
D)5.5
E)6
Rationale: Speed = 144 * 5/18 = 40 m/sec
Time taken = 150/40 = 3.75 sec.
Answer: Option B
Answer: B
Question: If the sum of a set of 7 different positive prime numbers is an even number, which of the following prime numbers must be in the set?
Options:
A)2
B)3
C)5
D)7
E)11
Rationale: All prime numbers apart from 2 are odd.
Even + Even = Even
Odd + Even = Odd
Odd + Odd = Even
We are given 7 different prime numbers, whose sum is even
If we include 2, we will have 6 odd prime numbers and one even.
This sum would be even
If we exclude 2, we will have 7 odd numbers.
This sum would be odd
Hence 2 is included.
Option A
Answer: A
Question: A company pays 15.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
Options:
A)25
B)31
C)18
D)19
E)01
Rationale: Explanation:
Dividend on 1 share = (15.5 * 50)/100 = Rs.7.75
Rs.25 is income on an investment of Rs.100
Rs.7.75is income on an investment of Rs. (7.75 * 100)/25 = Rs.31
ANSWER: B
Answer: B
Question: The 42 parents participating in the Smithville PTA have been assigned to at least 1 of 3 committees: festival planning, classroom aid, and teacher relations. 21 parents are assigned to the festival planning committee, 18 parents are assigned to the classroom aid committee, and 19 parents are assigned to the teacher relations committee. If 5 parents are assigned to all 3 committees, how many parents are assigned to exactly 2 committees?
Options:
A)4
B)6
C)8
D)9
E)10
Rationale: The formula is Total = A+B+C - sum of exactly two + 2*all three + neither
21+18+19-x-2*5=42
solving for x you get 6
Answer B
Answer: B
Question: Three workers have a productivity ratio of 2 to 3 to 5. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
Options:
A)12 to 1
B)6 to 1
C)25 to 6
D)1 to 6
E)1 to 5
Rationale: The fastest worker who does 6 units of job worked for all 10 hours, so he did 5*10=50 units of job;
The slowest worker who does 2 unit of job worked for only 4+2=6 hours (first 4 hours and last 2 hours), so he did 2*6=12 units of job;
The ratio thus is 50 to 12, or 25 to 6.
Answer: C.
Answer: C
Question: The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
Options:
A)It increases by 8%
B)It decreases by 8%
C)No change in revenue
D)It increases by 10%
E)None
Rationale: Explanation:
100 * 100 = 10000
80 * 115 = 9200
-----------
10000-----------800
100-----------? => 8% decrease
ANSWER IS B
Answer: B
Question: A die is rolled twice. What is the probability of getting a sum equal to 9?
Options:
A)2/3
B)2/9
C)1/3
D)1/9
E)1/10
Rationale: Total number of outcomes possible when a die is rolled = 6
Hence n(S) = 6 * 6 =36
E = Getting a sum of 9 when the two dice fall = {(3,6),(4,5),(5,4),(6,3)}
hence n(E) = 4
=>4/36 = 1/9
ANSWER D
Answer: D
Question: The value of land increases by p% during June and decreases by q% during July. If the value of the land is the same at the end of July as at the beginning of June, what is q in terms of p?
Options:
A)100p/(100+p)
B)200p/(100+2p)
C)p(2+p)/(1+p)2
D)p(200+p)/10000
E)2p/p+2p
Rationale: The simplest pairing is a 25% increase will be offset by a 20% decrease.
Here's the proof:
Starting value = 100
25% increase = 100 + (.25)(100) = 125
20% decrease = 125 - (.2)(125) = 100
Ending value = 100
So we would be looking for an answer that equals 20 when A=25. While the answers might appear 'complex', you can actually avoid much of the 'math' if you just fill in the parts and take a good look at what you have...
Answer A: (100)(25)/125) = (100)(1/5) = 20 This is a MATCH.
Answer B: (200)(25)/(150) ... since 200>150, this answer will be greater than 25. ELIMINATE A.
Answer C: (25)(27)/(26)2 ... nothing 'cancels out', so this cannot = 20. ELIMINATE C.
Answer D: (25)(225)/10000... the 'units' digit of the numerator is a 5; when dividing by 10,000, this won't end in a 0. ELIMINATE D.
Answer E: (50/25) + 50 = 52. ELIMINATE E.
A
Answer: A
Question: if you put $1500 into the bank with a interest rate of 5% and left the money there for 4 years how much interest do you get at the end of the 4 years?
Options:
A)$15
B)$150
C)$300
D)$250
E)$125
Rationale: p= 1500
r=0.05
I=(1500)(0.05)(4)=$300
ANSWER: $125
Answer: E
Question: Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 30 meter head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Options:
A) 15 seconds
B) 18 seconds
C) 25 seconds
D) 30 seconds
E) 45 seconds
Rationale: used pluging in method
say t is the time for cristina to catch up with Nicky, the equation will be as under:
for Nicky=N=3*t+30
for Cristina=C=5*t
@t=15, N=75 C=75 right answer
ans:A
Answer: A
Question: A sum amounts to Rs.3969 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal?
Options:
A)s.3600
B)s.5000
C)s.4500
D)s.4800
E)s.5800
Rationale: CI=3969,R=5,N=2
CI=P[1+R/100]^2
=P[1+5/100]^2
3969=P[21/20]^2
3969[20/21]^2
3600
ANSWER:A
Answer: A
Question: A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer is divisible by 3, and n is of the form 1k2,k42, where k represents a digit that occurs twice, how many values could n have?
Options:
A)1
B)2
C)3
D)4
E)10
Rationale: 1k2k42
Taking sum of the numericals = 1 + 2 + 4 + 2 = 9
We require the values of K such that they are also divisible by 3
102042
132342
162642
192942
Answer = 4 = D
Answer: D
Question: How many bricks, each measuring 50 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)6400
B)2400
C)5500
D)7400
E)3200
Rationale: Number of bricks = Volume Of the wall / Volume of 1 brick = (800 x 600 x 22.5) / (50 x 11.25 x 6) = 3200
ANSWER:E
Answer: E
Question: If the production cost in a certain company for first 1 lac item is Rs 20 lac and thereafter Rs 10 for each item. What is the minimum numbers of items that must be manufactured in order to get a cost of Rs 15 per item ?
Options:
A)12 per item
B)13 per item
C)14 per item
D)15 per item
E)16 per item
Rationale: If x lac items are to be manufactured , then
15x = 20+(10*(x-1)
x= 2
so 2 lac items must be manufactured in order to get a cost of Rs 15 per item
ANSWER:D
Answer: D
Question: How much time will take for an amount of Rs. 410 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Options:
A)4 years 4 months
B)4 years
C)3 years
D)9 years
E)5 years
Rationale: Time = (100 * 81) / (410 * 4.5)
= 4 years 4 months
Answer: A
Answer: A
Question: The youngest of 4 children has siblings who are 2, 7, and 11 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 25, what is the age of the youngest sibling?
Options:
A)17
B)18
C)19
D)20
E)21
Rationale: x + (x+2) + (x+7) + (x+11) = 100
4x + 20 = 100
4x = 80
x = 20
The answer is D.
Answer: D
Question: Two pipes A and B can separately fill a tank in 20 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Options:
A)590 liters
B)540 liters
C)820 liters
D)900 liters
E)580 liters
Rationale: 1/20 + 1/15 - 1/x
= 1/15
x = 12
20 * 45 = 900
Answer:D
Answer: D
Question: In 40 litres of a mixture, the ratio of milk to water is 7:1. In order to make the ratio of milk to water as 3:1, the quantity of water that should be added to the mixture will be?
Options:
A)Rs. 1000
B)Rs. 1200
C)Rs. 1400
D)Rs. 1600
E)Rs. 2500
Rationale: Explanation:
Total simple interest received , I = Rs.1600
Principal , p = 7000
period, n = 5 years
Rate of interest, r = ?
Simple Interest,
I
=
p
n
r
100
I=pnr100
⇒
1600
=
7000
×
5
×
r
100
⇒
r
=
1600
×
100
7000
×
5
=
160
35
=
32
7
%
⇒1600=7000×5×r100⇒r=1600×1007000×5=16035=327%
By rule of alligation,
Rate of interest % from part1	Rate of interest % from part2
6	4
Net rate of interest %
32
7
327
32
7
−
4
=
4
7
327−4=47
6
−
32
7
=
10
7
6−327=107
=> Part1 : part2
=
4
7
:
10
7
=
4
:
10
=
2
:
5
=47:107=4:10=2:5
Given that total amount is Rs.7000. Therefore, the amount lent at 6% per annum (part1 amount)
=
7000
×
2
7
=Rs. 2000
D)
Answer: D
Question: find the next term in the series 1, 0, -2, -3, 8, 95
Options:
A)683
B)684
C)685
D)686
E)687
Rationale: Its N! - N^2
1 - 1^2 = 0
2! - 2^2 = -2
3!(6) - 3^2 = -3
4!(24) - 4^2 = 8
..
..
6!(720) - 6^2 = 684
ANSWER:B
Answer: B
Question: In an election between the two candidates ,The candidates who gets 60% of votes polled is winned by 280 votes majority. What is the total number of votes polled?
Options:
A)1200
B)1400
C)1600
D)1500
E)1540
Rationale: Note : majority (20 %) = difference in votes polled to win (60 %) & defeated candidates (40 %)
20 % = 60 % - 40 %
20% -----> 280 (20×14 = 280 )
100% -----> 1400 (100×14 = 1400)
Option 'B'
Answer: B
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Options:
A)1820
B)6758
C)6000
D)2582
E)2972
Rationale: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 18000
= 6000
Answer:C
Answer: C
Question: A man has Rs. 496 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)90
B)93
C)96
D)97
E)99
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 496
16x = 496
x = 31.
Hence, total number of notes = 3x = 93.
B
Answer: B
Question: If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 206 m, what is its area?
Options:
A)2800 m2
B)2740 m2
C)2520 m2
D)2200 m2
E)2500 m2
Rationale: Explanation:
length = breadth +23. Therefore,
4×4× breadth +2×23=206 m
⇒ breadth =40 m
length =40+23=63 m
Area =63×40=2520 m2
Answer: Option C
Answer: C
Question: For a certain set, the value range of its members is 104.8. A new set is created from the members of the old set as follows: 12 is subtracted from a member of the old set, and the result is divided by 4. The resulting value is a member of the new set. If this operation is done for each member of the old set, what is the range of values of the members of the new set?
Options:
A)23.2
B)26.2
C)52.4
D)98.4
E)104.8
Rationale: Let x and z be the smallest and largest of the original set, respectively.
z - x = 104.8
The smallest and largest members of the new set will be (x-12) / 4 and (z-12) / 4.
Then the range is (z-12) / 4 - (x-12) / 4 = (z-x) / 4 = 104.8 / 4 = 26.2
The answer is B.
Answer: B
Question: If x = 3 and y = -2, what is the value of 2(x-y)^2 - xy ?
Options:
A)152
B)142
C)121
D)56
E)111
Rationale: x = 3 and y = -2
x-y = 3 - (-2) = 3+2 =5
x*y = 3 * -2 = -6
Now we apply it in the equation 2(x-y)^2 - xy =2 (5)^2-(-6)
==>2*25 +6 = 50+6 =56
Answer : D
Answer: D
Question: How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 30% iodine solution?
Options:
A)30.5
B)49
C)100
D)105
E)140
Rationale: Solution 1:
Assume the iodine solution to be mixed = x lts.
Iodine = 0.4x lts, Water = 0.6x lts.
Solution 2: 35 liters of a 20% iodine solution
Iodine = 7 lts, Water = 28 lts.
Total iodine = 0.4x + 7
Total water = 0.6x + 28
The resultant is a 35% idoine solution.
Hence (0.4x + 7) / (x + 35) = 30/100
40x + 700 = 30x + 1050
10x = 305
x = 30.5 lts
Correct Option: A
Answer: A
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Options:
A)200
B)992
C)772
D)662
E)552
Rationale: Profit on first article = 20% of 1000 = 200.
This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.
Answer: A
Answer: A
Question: The ratio between the number of sheep and the number of horses at the Stewar farm is 5 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Options:
A)18
B)28
C)40
D)56
E)58
Rationale: et no of sheep and horses are 5k and 7k
no of horses= 12880/230=56
now 7K=56 and k=8
no of sheep=(5*8) =40
ANSWER:C
Answer: C
Question: Tomy's age 22 years hence will be thrice his age four years ago. Find Tomy's present age?
Options:
A)12 years
B)13 years
C)15 years
D)17 years
E)18 years
Rationale: Let MTomy's present age be 'x' years.
x+ 22 = 3(x- 4)
=> 2x = 34 => x = 15 years.
D
Answer: D
Question: The maximum number of student amoung them 1802 pens and 1203 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Options:
A)1
B)10
C)11
D)19
E)None of these
Rationale: Solution
Required number of student = H.C.F of 1802 and 1203 = 1. Answer A
Answer: A
Question: If w = 9/25, c = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?
Options:
A)c, m, w
B)c, w, m
C)m, w, c
D)w, c, m
E)w, m, c
Rationale: Answer C - m, w, c
w ~ 1/3
c ~ 1/2
and m+w+c = 1 hence m ~ 1/6
Hence increasing order would be m -> w -> c
Answer C
Answer: C
Question: Which of the following expressions are different in value?
(A) (2x + 3y)2
(B) (2x + y)2 + 8y(x + y)
(C) (2x – y)2 – 8y(x + y)
(D) 22(x + y)2 + 4xy + 5y2
Options:
A)A and B
B)B and C only
C)A, B and D only
D)B and D only
E)All are different
Rationale: All others are equal except (C).
Answer B
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Options:
A)488
B)200
C)289
D)150 metre
E)822
Rationale: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9) m = 150 m.Answer:D
Answer: D
Question: Machine A can finish a job in 4 hours, Machine В can finish the job in 12 hours, and Machine С can finish the job in 8 hours. How many hours will it take for A, B, and С together to finish the job?
Options:
A)15/4
B)18/7
C)21/8
D)24/11
E)28/13
Rationale: The combined rate is 1/4+1/12+1/8 = 11/24 of the job per hour.
The time to complete the job is 24/11 hours.
The answer is D.
Answer: D
Question: In Kaya's teacher's desk there are 4 pink highlighters, 2 yellow highlighters, and 5 blue highlighters. How many highlighters are there in all?
Options:
A)11
B)22
C)77
D)33
E)88
Rationale: Add the numbers of highlighters.
4 + 2 + 5 =11.
Answer is A.
Answer: A
Question: For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *4 + 3 and *4 + 4, inclusive?
Options:
A) None
B) One
C) Two
D) Three
E) Four
Rationale: Generally *p or p! will be divisible by ALL numbers from 1 to p. Therefore, *4 would be divisible by all numbers from 1 to 4.
=> *4+3 would give me a number which is a multiple of 3 and therefore divisible (since *4 is divisible by 3)
In fact adding anyprimenumber between 1 to 4 to *4 will definitely be divisible.
So the answer is none (A)!
Supposing if the question had asked for prime numbers between *4 + 3 and *4 + 11 then the answer would be 1. For *4 +3 and *4 + 13, it is 2 and so on...
A
Answer: A
Question: On a partly cloudy day, milton decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?
Options:
A)1/5
B)1/6
C)1/4
D)1/7
E)1/3
Rationale: If s is an integer and we know that the average speed is 2.8, s must be = 2. That meanss+1= 3. This implies that the ratio of time for s=2 is 1/4 of the total time. The formula for distance/rate is D=Rt...so the distance travelled when s=2 is 2t. The distance travelled for s+1=3 is 3*4t or 12t. Therefore, total distance covered while the sun was shining over him is 2/14 = 1/7. Answer: D
Answer: D
Question: If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 4 miles?
Options:
A)12/5
B)12/3
C)12/4
D)12/6
E)12/2
Rationale: 1 km is approxmately equal to 0.6 miles
So 4 km = 4*0.6 = 2.4 miles . Multiple & divide by 10
i.e 2.4*10/10 = 24/10 = 12/5
Answer : A
Answer: A
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 seconds. The speed of the train is?
Options:
A)66
B)77
C)88
D)50
E)33
Rationale: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 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: D
Answer: D
Question: The average monthly salary of 24 employees in an organisation is Rs. 2400. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
Options:
A)Rs.3601
B)Rs.3618
C)Rs.4900
D)Rs.3619
E)Rs.3610
Rationale: Manager's monthly salary
= Rs. (2500 * 25 - 2400 * 24)
= Rs.4900 Answer:C
Answer: C
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 8 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Options:
A)19:1
B)19:4
C)19:8
D)38:10
E)38:2
Rationale: Quantity of alcohol in vessel P = 62.5/100 * 4 = 5/2 litres
Quantity of alcohol in vessel Q = 87.5/100 * 8 = 7/1 litres
Quantity of alcohol in the mixture formed = 5/2 + 7/1 = 19/2 = 9.50 litres
As 12 litres of mixture is formed, ratio of alcohol and water in the mixture formed
= 9.50 : 2.50 = 38:10.
Answer: D
Answer: D
Question: Each child has 2 pencils and 13 Skittles. If there are 8 children, how many pencils are there in total?
Options:
A)16
B)12
C)18
D)22
E)08
Rationale: 2*8=16.Answer is A.
Answer: A
Question: The product Z of two prime numbers is between 10 and 30 . If one of the prime numbers is greater than 2 but less than 6 and the other prime number is greater than 6 but less than 24, then what is Z?
Options:
A)21
B)15
C)14
D)10
E)6
Rationale: The smallest possible product is 21 which is 3*7.
All other products are too big.
The answer is A.
Answer: A
Question: In the class of 50 students, 30 speak Tamil and 40 speak Telugu. What is the lowest possible number of students who
speak both the languages?
Options:
A)A)8
B)B)10
C)C)20
D)D)30
E)E)32
Rationale: let the student who speaks Tamil-x
let the student who speaks Telugu-y
as (xuy)-(xny)=total
30+40-(xny)=50
=20
C)
Answer: C
Question: Mother is aged 3times more than her daughter Rose. After 8 years, she would be two and a 1/2times of Rose's age. After further 8 years, how many times would he be of Rose's age?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.
(4x + 8) = 5 (x + 8)
2
8x + 16 = 5x + 40
3x = 24
x = 8.
Hence, required ratio = (4x + 16)/(x + 16) = 48/24= 2.
B
Answer: B
Question: In a 300 member association consisting of men and women, exactly 80% of men and exactly 15% women are homeowners. What is the least number of members who are homeowners?
Options:
A)46
B)47
C)48
D)49
E)50
Rationale: Solution simple
Out of 300 80% are male i.e 240 and 15% are female i.e 45 , so total homeowner is 295.
Now min number homeowner is 45 and max is 240 so question ask us to find least and 46 has least value among all option.
So ans is 46.
Ans: A
Answer: A
Question: The sum of three consecutive odd natural numbers, each divisible by 3 is 78. What is the largest among them?
Options:
A)21
B)24
C)29
D)36
E)45
Rationale: Let the 3 consecutive odd numbers each divisible by 3 be X, X+3, X+6
Given, X + X+3 + X+6 = 78
3X = 69
X = 23
The numbers are 23, 26, 29
Therefore the largest number is 29
Answer C.
Answer: C
Question: The average monthly income of P and Q is Rs. 2050. The average monthly income of Q and R is Rs. 5250 and the average monthly income of P and R is Rs. 6200. The monthly income of R is:
Options:
A)5100
B)4900
C)9400
D)1500
E)3200
Rationale: Explanation:
Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (2050 x 2) = 4100 .... (i)
Q + R = (5250 x 2) = 10500 .... (ii)
P + R = (6200 x 2) = 12400 .... (iii)
Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 27000 or P + Q + R = 13500 .... (iv)
Subtracting (i) from (iv), we get P = 9400.
P's monthly income = Rs. 9400.
Answer: C
Answer: C
Question: A person crosses a 720 m long street in 12 minutes. What is his speed in km per hour?
Options:
A)3.6
B)4.5
C)4.8
D)5.4
E)5.5
Rationale: Speed = 720/(12x60) m/sec
= 1 m/sec.
Converting m/sec to km/hr =1 x(18/5) km/hr
= 3.6 km/hr.
ANSWER :A
Answer: A
Question: A person want to give his money of $900 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?
Options:
A)$400
B)$300
C)$500
D)$180
E)$200
Rationale: B's share = 900*3/9 = $300
Answer is B
Answer: B