divelab/Sys2Bench huggingface dataset:
Question: Fred and Sam are standing 40 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 4 miles per hour and Sam walks at a constant speed of 4 miles per hour, how many miles has Sam walked when they meet?
Options:
A)5
B)9
C)20
D)30
E)45
Rationale: relative distance =40 miles
relative speed =4+4 =8 miles per hour
time taken =40/8=5 hours
distance travelled by sam =4*5=20 miles=C
Answer: C
Question: What day of the week will 22 Apr 2222 be?
Options:
A)Monday
B)Tuesday
C)Sunday
D)Thursday
E)Saturday
Rationale: Explanation:
22 Apr 2222 = (2221 years + period from 1-Jan-2222 to 22-Apr-2222)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2200
= Number of odd days in 200 years
= 5 x 2 = 10 = 3
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
Number of odd days in the period 2201-2221
= 16 normal years + 5 leap years
= 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days
Number of days from 1-Jan-2222 to 22 Apr 2222
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112
112 days = 0 odd day
Total number of odd days = (0 + 3 + 5 + 0) = 8 = 1 odd day
1 odd days = Monday
Hence 22 Apr 2222 is Monday.
Answer: Option A
Answer: A
Question: If q, r, and s are consecutive even integers and q < r < s, which of the following CANNOT be the value of s^2 – r^2 – q^2?
Options:
A)-20
B)0
C)8
D)12
E)16
Rationale: s > r > q are consecutive even integers
Testing for s2−r2−q2
I: For s = 0, r = -2, q = -4,
s2−r2−q2=−20
II: For s = 2, r = 0, q = -2
s2−r2−q2=0
III: For s = 4, r = 2, q = 0
s2−r2−q2=12
Step II & Step III have consecutive representation of values of s, r, q. No other combination is possible.
8 cannot be the answer as for value of s = 6 & above, the resultant would be greater than 12
Answer = C
Answer: C
Question: A bag contains 5 white balls, 4 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Options:
A)0.25
B)0.15
C)0.35
D)0.45
E)0.4
Rationale: Each ball has an equal probability of being the third ball drawn.
P(3rd ball is red) = 3/12 = 0.25
The answer is A.
Answer: A
Question: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/5 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity?
Options:
A)4/5
B)8/15
C)11/15
D)9/20
E)13/20
Rationale: (1/2)X = (1/4)Y
(1/4)Y + (2/5)Y = (13/20)Y
The answer is E.
Answer: E
Question: A certain team consists of 4 professors and 5 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
Options:
A)74
B)85
C)96
D)107
E)118
Rationale: The total number of ways to form a group of 3 from 9 people is 9C3 = 84
The number of ways to form a group without a professor is 5C3 = 10
The total number of ways to form a valid group is 84 - 10 = 74.
The answer is A.
Answer: A
Question: An plane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of ?
Options:
A)100
B)720
C)1100
D)940
E)860
Rationale: We know
Distance = speed * time
= 240 * 5
= 1200 km
Now to cover 1200 km in 5/3 hrs ,
speed = distance / time
= 1200 / (5/3)
= 720 KMPH
Ans- B
Answer: B
Question: The sector of a circle has radius of 21 cm and central angle 270o. Find its perimeter?
Options:
A)145 cm
B)135 cm
C)121 cm
D)141 cm
E)151 cm
Rationale: Perimeter of the sector = length of the arc + 2(radius)
= (270/360 * 2 * 22/7 * 21) + 2(21)
= 99 + 42 = 141 cm
Answer: D
Answer: D
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Options:
A)2221
B)2882
C)3600
D)2882
E)1271
Rationale: P = 144(100/5)2 => P = 3600.Answer: C
Answer: C
Question: In a certain country vehicle number plates come in a certain format - XXX - XXXX . The first 3 places are filled with letters of an alphabet and the next 4 spaces are filled with numbers starting from 0001. What is the maximum number of vehicle number plates that we can have.
Options:
A)175742424
B)175742425
C)175742434
D)175742444
E)100000000
Rationale: The first set of XXX can be filled with letters only.
So the number of ways is 26*26*26 (Since there are 26 letters in an alphabet and we can use any letter in all 3 places, since repetition is allowed)
The second set of XXXX can be filled with numbers ranging from 0,1,2,3,4,5,6,7,8,9
Number of ways by which we can have letters in this is 10 * 10 * 10 * 10 since we can have any number at any place, since repetition is allowed
= (10*10*10*10) - 1 (we are subtracting 1 since one of the numbers can be 0000 which is not allowed since numbers start with 0001)
Total number of vehicles can be
=26*26*26 * (10000-1)
=175742424
Answer: A
Answer: A
Question: At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?
Options:
A)20
B)45
C)55
D)90
E)95
Rationale: number of handshakes = 10C2= 10*9/2 = 45
ANSWER:B
Answer: B
Question: A 600 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Options:
A)800
B)700
C)360
D)370
E)380
Rationale: Speed = 600/18 = 100/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 100/3
=> x = 1300 m.
L=1300-600 =700m
Answer: Option B
Answer: B
Question: For each positive integer,the quantitySn is defined such thatSn+2=(Sn)^3 -S(n+1).in addition ,S2=1.then which of the following must be true.
Options:
A)a)S4 +S3 +1=0
B)b)(S1)^2 +S4 +2=0
C)c) ifS1=-1thenS4 is also equal to-1.
D)d) ifS4 =-7thenS1=-2.
E)e) ifS1 =-3thenS4=-7
Rationale: Since all the answers include S4, let's start from there.
S4=S2^2-S3
S3=S1^2-S2
Substituting S3 into the first equation we get:
S4=S2^2-(S1^2-S2)
Since S2=1
S4=1-(S1^2-1)
S4=2-S1^2
We need S1^2 in order to calculate S4.
E) provides S1 and from there we can calculate S4:
S4=2-(-3)^2
S4=-7
Correct.
As a side note, I would be very careful with answers in the formif S4=x then S1=y(such as option D ), as we are dealing with S1^2 (not S1), S1 can have two different values and it can not be determined for sure which root is the right answer.
For example:
If S4=-7 then S1=3 :
if we substitute S4 with - 7 we get:
-7=2-S1^2
S1^2=9
now S1 can be +/-3 !!
D
Answer: D
Question: CP of 2 buffaloes are Rs30,000. By selling 1 at a loss of 15% and other at a profitof 19%, he foundthat SP of both buffaloes is the same. Find the CP of each?
Options:
A)Rs. 8,500
B)Rs.10,500
C)Rs.11,000
D)Rs.11,500
E)Rs.12,500
Rationale: Let the C.P of 1st buffalo = x
∴C.P of 2nd buffalo = 30,000 - x
S.P of 1st buffalo = ( 100 - loss% )
------------------- x C.P
100
S.P = 100 - 15x
-----------= 85x/ 100
100
S.P of 2nd buffalo = ( 100 - Profit%)
--------------------- x C.P
100
S.P = (100 + 19)(30,000- x) 119(30,000 -x)
-------------------- = ----------------
100 100
S.P of 1st buffalo = S.P of 2nd buffalo
85x/ 100 = 119 ( 30,000 - x)/ 100
⇒ 85x = 119(30,000 - x)
⇒ 85x = 3,570,000 - 119x
⇒ 85x + 119 x = 3,570,000
⇒ 204x = 3,570,000
⇒ x = 3,570,000 / 204
⇒ x = Rs.17,500
C.P of 1st buffalo = Rs.17,500
C.P of 2nd buffalo = 30,000 - 17,500 = Rs.12,500
E
Answer: E
Question: The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 1. If p is any prime number then f(p)=
Options:
A)p-1
B)p-2
C)(p+1)/2
D)(p-1)/2
E)2
Rationale: Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).
If we consider p=7 how many numbers are less than 7 having no common factors with 7: 1, 2, 3, 4, 5, 6 --> 7-1=6.
Answer: A.
Answer: A
Question: There was a grandmother in a village that had a grandchild. Upon asking her grandchild’s age she told that she is as older as many days old as her daughter’s age in weeks and as many days as her own age in years. The sum of the ages of three is 130. Then how old is the child?
Options:
A)127
B)117
C)137
D)147
E)157
Rationale: let the ages be a,b and c of grandmother,daughter and granddaughter respectively.
we have 3 equations as:
52b=365c
and a=365c
also,a+b+c=130
solving this,i m getting age of granddaughter about 127 days.
ANSWER:A
Answer: A
Question: How many different positive numbers smaller than 2∗10^8 can be formed using the digits 1 and 2 only?
Options:
A)256
B)510
C)512
D)766
E)6561
Rationale: Any combination of number starts with digit "2" is greater than 2*10^8
Total possible combinations with 1 and 2 = 2^9
Total possible combinations with 2 as starting digit = 2^8
Numbers smaller than 2*10^8 can be formed = 2^9 - 2^8
= 2^8(2-1)
= 256.
Answer : A
Answer: A
Question: In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 15 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this collection (after the acquisition)?
Options:
A)124
B)135
C)146
D)157
E)168
Rationale: Initially the number of gold coins and silver coins is 2k and 6k.
After adding gold coins, the number of coins is 3k and 6k.
Thus k = 15 and the total number of coins is 9k = 135.
The answer is B.
Answer: B
Question: Given that p/q < 1, and both p and q are positive integers, which one of the following must be greater than 1?
Options:
A)p/q^2
B)p^2/q
C)p^2/q^2
D)q/p
E)√(p/q)
Rationale: Since p/q is a fraction q must always be > 1
Given -
Which one of the following must be greater than 1
We can get the result one only when the denominator in p/q ( Which is less than 1 ) becomes numerator..
Among the given options only (D) has the required characteristic we are looking for...
Hence answer will be (D)
Answer: D
Question: A , B , C start a business each investing Rs 20,000 . After 5 month A withdraws Rs 5000, B withdraws Rs 4000 & C invests Rs 6000 more . At the end of the year, a total profit of Rs 69900 was recorded . Find the share of A
Options:
A)20600
B)20700
C)20500
D)20400
E)None of these
Rationale: Explanation :
A : B : C = (20000*5 +15000*7) : (20000*5 +16000*7) : (20000*5 +26000*7)
= (20*5 + 15*7) : (20*5 + 16*7) : (20*5 + 26*7)
= 205 : 212 : 282
A's share = 69900 * 205/(205+212+282) = 69900*205/699 = 20500. Answer : Option C
Answer: C
Question: A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 224 customers. How many more new tables than original tables does the restaurant have?
Options:
A)12
B)16
C)20
D)24
E)28
Rationale: If all the tables seated 4, the number of customers could be 4*40 = 160.
224-160 = 64, so 64/2 = 32 tables must be new tables seating 6 people.
The number of tables seating 4 people is 40-32 = 8.
The number of new tables is 32-8 = 24 more than the number of old tables.
The answer is D.
Answer: D
Question: Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams could be selected from the eight candidates?
Options:
A)56
B)120
C)210
D)1120
E)6720
Rationale: 8 total employees 5 potential executives. = 8!/5!3! = 56
Those 5 executives are made up of P, T, W,W,W. Use an anagram grid here to determine the total here. = 5!/3! = 20.
Multiply 56 by 20 and your answer is 1120.
ANS:D.
Answer: D
Question: In a box, there are 8 red, 5 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
Options:
A)2/3
B)8/21
C)3/7
D)9/22
E)8/19
Rationale: Explanation:
Total number of balls = (8 + 5 + 6) = 19
Let E = event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.
Therefore, n(E) = 8.
P(E) = 8/19.
Answer: Option E
Answer: E
Question: John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment R that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
Options:
A)a. 3/5
B)b.2/3
C)c.7/10
D)d.3/4
E)e.4/5
Rationale: X(10) --- Net(0) --- R(-15) = -15/-10 = 3/2.
So, John invested 3/3+2 = 3/5 of his savings in investment X. Ans (A).
Answer: A
Question: What is the total surface area in square meters of a rectangular solid whose length is 10 meters, width is 9 meters, and depth is 6 meters?
Options:
A)400 m2
B)404 m2
C)408 m2
D)401 m2
E)412 m2
Rationale: Surface Area of a cuboid = 2(lb+bh+lh) = 2(10*9+9*6+10*6)=2(90+54+60)=2*204=408 m2
Answer : C
Answer: C
Question: An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?
Options:
A)28,000 degrees / second
B)58,000 degrees / second
C)18,000 degrees / second
D)38,000 degrees / second
E)88,000 degrees / second
Rationale: 3000 revolutions / minute
= 3000*360 degrees / 60 seconds
= 18,000 degrees / second
correct answer C
Answer: C
Question: The list price of an article is Rs.70. A customer pays Rs.61.74 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Options:
A)8%
B)7%
C)10%
D)2%
E)4%
Rationale: Explanation:
70*(90/100)*((100-x)/100) = 61.74
x = 2%
Option D
Answer: D
Question: Find the area of circle whose radius is 5m?
Options:
A)78.57
B)81.54
C)71.77
D)72.88
E)72.98
Rationale: 22/7 * 5 * 5
= 78.57
Answer:A
Answer: A
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $33. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Options:
A)xy/297
B)11xy/3
C)3xy/11
D)297/(xy)
E)297xy
Rationale: The area of the carpet in feet is xy.
The area in square yards is xy / 9.
The price per square yard is 33 / (xy/9) = 297/(xy).
The answer is D.
Answer: D
Question: Find the number of ways in which 3 different beads can be arranged to form a necklace.
Options:
A)30
B)20
C)1
D)60
E)80
Rationale: Since in forming a necklace clockwise and anticlockwise arrangements are not different, therefore,3 beads can be arranged to form a necklace in(3-1)! /2ways
= 2/2 = 1 way
Answer is C
Answer: C
Question: Of the 30 employees of a certain company, twice as many are in the sales department as are in all of the other departments combined. What is the number of employees in the sales department?
Options:
A)15
B)20
C)30
D)40
E)45
Rationale: This is ratio problem solving question.
I will prefer to use RMV box.
R M V
Sales 2 10 20
Other 1 10 10
Total 3 10 30
Answer is 20. i.e B
Answer: B
Question: If y is 80% greater than x, than x is what % less than y?
Options:
A)20
B)25
C)33 1/3
D)44 4/9
E)80
Rationale: Let x = 100
So y = 180
We want percentage change.
So, (100-180)/180
= -44.44%
= 44 4/9% lesser than y.
Hence option (D).
Answer: D
Question: Look at this series: 26, 24, 20, 18, 14, __What number should come next?
Options:
A)10
B)12
C)13
D)17
E)15
Rationale: This series is alternatively subtracted first 2 is subtracted, then 4 is subtracted then 2, and so on.
Answer is option B (12)
Answer: B
Question: If x^2 = y^3 , where x and y are non negative and non zero integers, what is the greatest possible value of x and y from options below?
Options:
A)x=27 , y=7
B)x=27, y=9
C)x=25, y=5
D)x=9, y=3
E)x=121, y=11
Rationale: A. x=27 y=7 729 = 343 wrong
B. x=27, y=9 729 = 729 right
C. x=25, y=5 625 = 125 wrong
D. x=9, y =3 81 = 27 wrong
E. x=121, y =11 14641 = 1331 wrong
answer is B.
Answer: B
Question: A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
Options:
A)7
B)8
C)4
D)2
E)9
Rationale: 70 * (10/100) = 7
Wine Water
87 1/2% 12 1/2%
87 1/2% ------- 63
12 1/2% -------? => 9-7=2
Answer: D
Answer: D
Question: In a sample of patients at an animal hospital, 30 percent are cats and 60 percent are not dogs. What fraction of those patients who are not cats are dogs?
Options:
A)1/7
B)1/3
C)2/5
D)3/5
E)4/7
Rationale: Given :60% are not dogs, so 40% are dogs.
Cats are 30% so 70% are not cats.
Question is dogs to not cats=40/70 = 4/7
Answer is E
Answer: E
Question: Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.45, b = 3.05, and c = 3.76, what is y – x?
Options:
A)-0.1
B)0.4
C)0.05
D)0.1
E)0
Rationale: To find x, we first sum a, b, and c, then round to the tenths place. 5.45 + 3.05 + 3.76 = 12.26, which rounds to 12.2.
To find y, we first round a, b, and c to the tenths place and them sum them. so 5.4 + 3.0 + 3.8 = 12.2.
We are looking for y - x, which gives us 12.2 - 12.2 = 0, or answer choice E.
Answer: E
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Options:
A)37 min
B)55 min
C)47 min
D)67 min
E)45 min
Rationale: C
47 min
Let the length of the train be x m.
When a train crosses an electric pole, the distance covered is its own length.
So, x = 12 * 36 * 5 /18 m = 120 m.
Time taken to cross the platform = (120 +350)/ 36 * 5/18 = 47 min.
Answer: C
Question: I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I can have to pack and distribute?
Options:
A)25
B)37
C)54
D)65
E)50
Rationale: Explanation : . The required number will be obtained by taking LCM of 2, 3 and 4 and adding 1 into it. The number so obtained is 25.
Answer A
Answer: A
Question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Options:
A)20m
B)25m
C)22.5m
D)9m
E)None of these
Rationale: Explanation:
Distance covered by B in 9 sec. =(100/45 x 9)m = 20m
A beats B by 20 metres.
Answer: A
Answer: A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Options:
A)7
B)6
C)8
D)2
E)4
Rationale: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55
= 6 sec.
AnswerB
Answer: B
Question: Two trains leave the train station at the same time. One train, on the blue line, heads east- while the other, on the red line, heads west. If the train on the blue line averages 40km/hr and the other train averages 40 km/hr- how long will it take for the trains to be 100 Km apart?
Options:
A)2 hours
B)2.25 hours
C)1 hour
D)1.25 hours
E)Not enough information
Rationale: Each train is averaging 40 Km/Hour in an opposite direction. After 1 hour, they will be 80 Km apart, and after 1.25 hours, they will be 100 Km apart. (80*1.25=100)
Answer is D
Answer: D
Question: Elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for Internet service. Elvin's total telephone bill for January was $46 and Elvin's total telephone bill for February was 76$. If Elvin's charge for the calls he made in February was twice the charge for the calls he made in January, what is Elvin's fixed monthly charge for Internet service?
Options:
A)$5
B)$10
C)$14
D)$16
E)$28
Rationale: Bill = Fixed Charge + Charge of Calls made
in Jan, Bill = Fixed Charge(Let, y) + Charge of calls made in Jan (Let, x) = $46
in Feb, Bill = Fixed Charge (Let, y) + Charge of calls made in Feb (Then, 2x) = $76
i.e. x+y = 46
and 2x+y = 76
Take the difference if two equations
i.e. (2x+y) - (x+y) = 76 - 46
i.e. x = 30
i.e. Fixed Monthly Charge, y = 16
Answer: Option
D
Answer: D
Question: A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 8.30 a.m.?
Options:
A)5
B)6
C)7
D)8
E)2
Rationale: Relative speed = Speed of A + Speed of B (? they walk in opposite directions)
= 2 + 3 = 5 rounds per hour
=> They cross each other 5 times in 1 hour SO 2 times in 1/2 hour
Time duration from 8 am to 8.30 am = 0.5 hour
Hence they cross each other 2 times before 8.30 am
Answer is E
Answer: E
Question: The ratio of the ages of three people is 4:6:7. Eight years ago, the sum of their ages was 78. Find their present ages.
Options:
A)12,18,21
B)16,24,28
C)20,30,35
D)24,36,42
E)28,42,49
Rationale: Let the present ages be 4x, 6x, 7x.
(4x-8) + (6x-8) + (7x-8) = 78
17x = 102
x = 6
Their present ages are 24, 36, and 42.
The answer is D.
Answer: D
Question: When a number is first increased by 20% and then reduced by 20%, The number is:
Options:
A)Does not change
B)Decreases by 4%
C)Increases by 4%
D)None of these
E)Cannot be determined
Rationale: Explanation:
Formula = AFTER INCREASED 20%*AFTER REDUCED 20%/TOTAL 100%
= 120*80/100 = 94 %
= Decreases by 4%
Answer: Option B
Answer: B
Question: The L.C.M. of 2 numbers is 48. The numbers are in the ratio 2:3. Find their sum?
Options:
A)36
B)40
C)48
D)32
E)56
Rationale: Let the numbers be 2x and 3x
L.C.M. = 6x
6x = 48
x = 8
The numbers are = 16 and 24
Required sum = 16+24 = 40
Answer is B
Answer: B
Question: If T is an integer greater than 6, which of the following must be divisible by 3?
Options:
A)T(T+1)T-4)
B)N(N+2)(N-1)
C)N(N+3)(N-5)
D)N(N+4)(N-2)
E)N(N+5)(N-6)
Rationale: Now take T = 3k , T = 3k+1 T = 3k+2..put in all the choices. If by putting all the values of T we get it is divisible by 3, then it is correct answer choice.
A is correct. It will hardy take 10 sec per choice as we have to consider only 3k+1 and 3k+2.
Answer: A
Question: The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of $400 per sq. metre.
Options:
A)$8250
B)$8350
C)$8650
D)$8450
E)$8500
Rationale: Area =5.5×3.75 sq. metre.
Cost for 1 sq. metre. = $400
Hence, total cost
=5.5×3.75×400= $8250
A
Answer: A
Question: A and B invests Rs.2000 and Rs.4000 in a business. After 8 months, A withdraws half of his capital and B withdraws three-fourth of his capital. In what ratio should they share the profits at the end of the year?
Options:
A)8:9
B)5:9
C)7:9
D)4:9
E)3:7
Rationale: A : B
(2000*8)+(1000*4) : (4000*8)+(1000*4)
20000 : 36000
5 : 9
Answer: B
Answer: B
Question: A certain business school has 500 students, and the law school at the same university has 800 students. Among these students, there are 30 sibling pairs consisting of 1 business student and 1 law student. If 1 student is selected at random from both schools, what is the probability that a sibling pair is selected?
Options:
A)3/40000
B)3/20000
C)3/4000
D)9/400
E)6/130
Rationale: probability of selecting 1 student from Harvard's Business School---1/500
probability of selecting 1 student from Harvard's Law School---------1/800
probability that these two students are siblings----(1/500 * 1/800)
since there are 30 siblings, hence (1/500 * 1/800)*30.
3/40000
Answer:A
Answer: A