divelab/Sys2Bench huggingface dataset:
Question: Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 6 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: if n =7
mark sold 1 box
and Ann sold 5 boxes
total 6 < 7
Answer:E
Answer: E
Question: If Rs. 600 amounts to Rs. 683.20 in two years compounded annually, find the
rate of interest per annum.
Options:
A)3% p.a
B)4% p.a
C)6% p.a
D)7% p.a
E)8% p.a
Rationale: Sol. Principal = Rs. 500; Amount = Rs. 583.20; Time = 2 years.
Let the rate be R% per annum.. 'Then,
[ 500 (1+(R/100)2 ] = 583.20 or [ 1+ (R/100)]2 = 5832/5000 = 11664/10000
[ 1+ (R/100)]2 = (108/100)2 or 1 + (R/100) = 108/100 or R = 8
So, rate = 8% p.a.
ANSWER E 8% p.a
Answer: E
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used?
Options:
A)3
B)4
C)6
D)9
E)12
Rationale: Rate of machine R = 1/36
Rate of machine S = 1/18
Rate of R+S = 1/12
To finish the work in 4 hrs, the combined rate needs to be 1/4.
x * 1/12 = 1/4
x = 3
The answer is A.
Answer: A
Question: The value of a watch depreciates at the rate of 20% every year. It was purchased 4 years ago. If its present value is Rs. 2048, its purchase price was
Options:
A)3500
B)4000
C)4500
D)5000
E)5500
Rationale: Explanation:
= Rs.5000
Answer: D
Answer: D
Question: A coin is tossed six times. What is the probability that there is at the least one tail?
Options:
A)63/64
B)31/37
C)31/18
D)31/10
E)31/19
Rationale: Let P(T) be the probability of getting least one tail when the coin is tossed six times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/64 ; P(T) = 1 - 1/64 = 63/64
Answer: A
Answer: A
Question: A Cistern is filled by pipe A in 9 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full?
Options:
A)28 hrs
B)24 hrs
C)36 hrs
D)32 hrs
E)34 hrs
Rationale: Explanation:
Pipe A can fill 1/9 of the cistern in 1 hour.
Pipe B can empty 1/12 of the cistern in 1 hour
Both Pipe A and B together can effectively fill 1/9 − 1/12 = 1/36 of the cistern in 1 hour
i.e, the cistern will be full in 36 hrs.
Answer: Option C
Answer: C
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Options:
A)33
B)88
C)36
D)77
E)21
Rationale: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.
Answer: C
Answer: C
Question: The Number 3A2105 is divisible by 3.What will be the value of A?
Options:
A)1
B)2
C)3
D)5
E)6
Rationale: Divisibility of 3 is sum of the digits must be divisible by 3.
So,3+a+2+1+0+5=11+a
Then what gives the value will divisible by 3
So Answer is 1
Option A
Answer: A
Question: Hardy and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 40 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?
Options:
A)35
B)40
C)45
D)50
E)55
Rationale: let x=length of pool
at first meeting, combined distance=x
at second meeting, combined distance=3x
if andy swims 18.5 m of x, then he will swim 3*18.5=55.5 m of 3x
andy's total distance to second meeting=x+10.5 m
x+10.5=55.5 m
x=45 m
C
Answer: C
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 40% profit?
Options:
A)220
B)230
C)960
D)780
E)896
Rationale: C.P. = Rs. x.
Then, 832 - x = x - 448
2x = 1280 => x = 640
Required S.P. = 140% of Rs. 640 = 140/100 * 640 = Rs. 896.
E
Answer: E
Question: In what time will a train 140 m long cross an electric pole, it its speed be 144 km/hr?
Options:
A)3.5 sec
B)4.25 sec
C)5 sec
D)12.5 sec
E)6 sec
Rationale: Speed = 144 * 5/18 = 40 m/sec
Time taken = 140/40 = 3.5 sec.
ANSWER:A
Answer: A
Question: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following sequence are exactly equal. Which part is not equal to the other four? The number of that part is the answer
Options:
A)120 × 12 – 22 × 20
B)10% of 5000 + 2⁄5 of 1200
C)80 × 40 – 20 × 110
D)8640 ÷ 60 + 53.5 × 16
E)5314 – 3029 – 1285
Rationale: The other parts are equal to 1000.
Answer B
Answer: B
Question: Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?
Options:
A)435
B)440
C)450
D)460
E)512
Rationale: Let suppose total number of students in class are X.
Then from the question we can conclude it that,
X∗18X=X2∗16=>X=64Total notebooks,=18X2=(18∗64∗64)=512
E
Answer: E
Question: A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?
Options:
A)3 : 9
B)3 : 0
C)3 : 3
D)3 : 4
E)3 : 1
Rationale: Since S # 1/t
S1 : S2 = 1/t1 : 1/t2 = 1/8 : 1/6 = 3 : 4
Answer:D
Answer: D
Question: In how many ways can 5 boys be allotted four different COTs such that none of the COTs are empty and all the 5 boys are accommodated?
Options:
A)240
B)260
C)280
D)290
E)300
Rationale: 4 boys can be selected from 5 boys in 5C4 ways = 5
4 boys can be arranged in 4 COTS in 4! ways
and since 1 boy has to share a COT with one of the 4 boys, therefore total ways = 2! = 2
Hence total number of ways in which allocation can be done = 5C4 * 4! * 2! = 5*2*4!
240
A
Answer: A
Question: 154 pencils are distributed to children with the same number. What can’t be the range including the number of children?
Options:
A)50~60
B)10~20
C)20~30
D)1~10
E)70~80
Rationale: 154 candies are distributed to children with the same number. What can’t be the range including the number of children?
A. 1~10 B. 10~20 C. 20~30 D. 40~50 E. 70~80
-> In 154=1*154=2*77=7*22=11*14, you can come up with 4 cases. One is distributing 77 candies to 2 children each. Another is distributing 2 candies to 77 children each. Also, you can distribute 22 candies to 7 children. The other is distributing 7 candies to 22 children. Amongst these cases, what is not included is a. 50~60. Therefore, the answer is A.
Answer: A
Question: An employer has 5 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
Options:
A)a) 1,490
B)b) 132
C)c) 60
D)d) 68
E)e) 23
Rationale: 5C3 * 4C2 = 60. Answer C.
Answer: C
Question: In the recent, cyber security conference in London, out of 800 men, 900 women, 200 children present inside the building premises, 20% of the men, 30% of the women and 50% of the children were Indians. Find the percentage of people who were not Indian?
Options:
A)73.22
B)72.11%
C)79.22
D)74.66
E)88.22
Rationale: Solution: Number of Indians men present there = 800*20/100 = 160
Indian women = 900*30/100 = 270
Indian children = 200*50/100 = 100.
Total member present in cyber security conference = 800+900+200 = 1900
Total Indian = 160+270+100 = 530
Hence, % of Indian present there = 530*100/1900 = 27.89%
% of people who were not Indian = 100-27.89 = 72.11%.
Answer B
Answer: B
Question: Salesperson A's compensation for any week is $210 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
Options:
A)$3500
B)$5500
C)$7500
D)$9500
E)$11,500
Rationale: 210+0.06(x-1000) = 0.08x
0.02x = 150
x = $7,500
The answer is C.
Answer: C
Question: If w and s are positive integers such that (2^w)(4^s) = 16, then 2w + s =
Options:
A) 2
B) 3
C) 4
D) 5
E) 6
Rationale: lets get the eq into simplest orm..
(2^w)(4^s) = 16..
(2^w)(2^2s) = 2^4..
or w+2s=4..
since w and s are positive integers, only w as 2 and s as 1 satisfy the Equation..
so 2w+s=2*2+1=5..
D
Answer: D
Question: In the following sequence of alphabets, which letter would be at the middle of the fourth and sixteenth letters from the right ? A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Options:
A)a)2^(1/3)
B)W
C)c)2^(1/2)
D)d)2^(3/2)
E)e)2^(1/4)
Rationale: Ans is B
Answer: B
Question: The length of the room is 6m and width is 6m. Find the cost of paving the floor by slabs at the rate of Rs.200 per sq meter?
Options:
A)6200
B)6300
C)2700
D)7200
E)8000
Rationale: l=6m w=6m
area of the floor = 6 x 6 = 36 sq m
cost of paving = 200 x 36= Rs. 7200
Answer: D
Answer: D
Question: 12^3+12^3+12^3=?
Options:
A)a)72^3
B)b) 72^4
C)c) 72^5
D)d) 72^6
E)e) 72^2
Rationale: The correct answer is E 72^2
Answer: E
Question: What is the cost of leveling the field in the form of parallelogram at the rate of Rs.50/10 sq.metre, whose base & perpendicular distance from the other side being 54m & 24m respectively?
Options:
A)Rs. 5280
B)Rs. 5500
C)Rs. 6000
D)Rs. 6480
E)Rs. 7680
Rationale: Area of the parallelogram = Length of the base * Perpendicular height
= 54 * 24 = 1296 m.
Total cost of levelling = Rs. 6480
D
Answer: D
Question: A and B can do a work in 20days, B and C in 25days, C and A in 30days. If A,B and C work together , they will complete the work in?
Options:
A)10days
B)12days
C)16days
D)20days
E)25days
Rationale: A+B 1day work = 1/20
B+C 1day work = 1/25
C+A 1day work = 1/30
Adding we get 2(A+B+C) = 1/20 + 1/25 + 1/30 = 37/300
A+B+C 1 day work = 37/600
A,B,C can finish the work in 600/37 days = 16days approximately
Answer is C
Answer: C
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Options:
A)16%
B)88%
C)12%
D)89%
E)56%
Rationale: Original price = 100
CP = 80
S = 80*(140/100) = 112
100 - 112 = 12%
Answer: C
Answer: C
Question: The speed of a boat in still water in 65 km/hr and the rate of current is 15 km/hr. The distance travelled downstream in 25 minutes is:
Options:
A)55.55 km
B)44.44 km
C)33.33 km
D)22.22 km
E)11.11 km
Rationale: Explanation:
Speed downstream = (65 + 15) = 80 kmph
Time = 25 minutes = 25/60 hour = 5/12 hour
Distance travelled = Time × speed = (2/5)×80 = 33.33 km
Answer: Option C
Answer: C
Question: In each of the following questions, there are four options. The numbers, in these options, are alike in a certain manner. Only one number does not fit in. Choose the one which is different from the rest.
Options:
A)24
B)90
C)54
D)36
E)25
Rationale: 24
remaing number are divisible by '9'
ANSWER:A
Answer: A
Question: Machine P takes 40 hours longer than machine Q to produce 1080 Widgets. Machine Q produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine P produce
Options:
A)100
B)65
C)2.5
D)11
E)4.5
Rationale: Machine Q produces 20 percent more widgets in an hour than machine x does in an hour.
So if machine P produces 100 widgets, then machine Y produces 120 widgets.
Ratio of 120/100 = 6/5.
This is their speed of work (Q:P).
i.e. speed of their work (P:Q) = 5/6
Now, time is inversely proportional to speed.
Hence the ratio of the time spent (P:Q)= 6/5
Let us assume that they spend 6x and 5x hours.
Given that 6x-5x = 40
So, x = 40.
Hence 6x = 6*40 = 240 hours.
Hence P takes 240 hours to produce 1080 widgets.
So, in 1 hour, it can produce (1 * 1080)/240
= 4.5
Hence option (E).
Answer: E
Question: Calculate 469160 x 9999 = ?
Options:
A)4691130840
B)4686970743
C)4691100843
D)4586870843
E)NONE
Rationale: Answer
469160 x 9999 = 469160 x (10000-1)
= 4691600000 - 469160
= 4691130840.
Option: A
Answer: A
Question: What is the ratio whose term differ by 45 and the measure of which is 2/7?
Options:
A)A)32:23
B)B)16:56
C)C)16:63
D)D)32:39
E)E)41:52
Rationale: Let the ratio be x:(x+45)
Then, x/(x+45) = 2/7
x=18
required ratio = 16:63
Answer is C
Answer: C
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
Options:
A)58kgs
B)58.85kgs
C)58.95kgs
D)59kgs
E)59.85kgs
Rationale: Actual total weight is (20X 58.4 - 56 + 65) = 1177 Kgs
Actual average weight is 1177/20 = 58.85kgs
B
Answer: B
Question: Two trains, each 100 metre long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is
Options:
A)65 km/hr
B)60 km/hr
C)45 km/hr
D)75 km/hr
E)80 km/hr
Rationale: tot dist = (100+100) = 200 m
time = 8 sec
let speed of slower train = vm/s
then speed of the faster train = 2vm/s
relative speed = (v+2v)=3v m/s
3v=200/8
v=25/3
speed of the faster train = 2v = 50/3 m/s
50/3*8/5km/hr = 60km/hr
ANSWER B
Answer: B
Question: What is the decimal equivalent of (1/4)^6?
Options:
A)0.0016
B)0.0625
C)0.16
D)0.0002
E)0.5
Rationale: (1/4)^6 = 1/4096 = 0.0002
Answer : D
Answer: D
Question: 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
Options:
A)22
B)23
C)44
D)46
E)45
Rationale: last member can shake with the 1st one.
hence (n-1+1)=23
ANSWER:B
Answer: B
Question: what will be the next number in the following series??
2, 1, (1/2), (1/4),...
Options:
A)1/3
B)1/8
C)2/8
D)1/16
E)3/8
Rationale: 4/2=2
2/2=1
1/2=1/2
(1/2)/2=1/4
(1/4)/2=1/8
so answer is 1/8
ANSWER:B
Answer: B
Question: A money lender lent Rs. 1000 at 3% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 390. Find the number of years.
Options:
A)3.5
B)3.75
C)4
D)3.9
E)4.5
Rationale: (1000xtx3/100) + (1400xtx5/100) = 390 â†’ t =3.9 answer D
Answer: D
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Options:
A)180
B)210
C)230
D)240
E)280
Rationale: Relative speed = (120 + 80) km/h =200x 5/18 m/s
= 500/ 18 m/sec
Let the length of the other train be x metres.
Then, x + 270/9 = 500/9
x + 270 = 500
x = 230.
Answer: C
Answer: C
Question: 0.0007?=0.01
Options:
A)70
B)7
C)0.7
D)0.07
E)None of these
Rationale: Explanation :
Required Answer = 0.0007/0.01 = 0.07/1 = 0.07. Answer : Option D
Answer: D
Question: Find the product of the localvalue and absolutevalue of 5 in 20568?
Options:
A)1000
B)2500
C)1200
D)5000
E)1600
Rationale: Local value of 5 = 5 x 100 = 500
Place value of 5 = 5
There fore = 5 x 500 = 2500
B
Answer: B
Question: A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?
Options:
A)288
B)266
C)288
D)200
E)111
Rationale: 25 + 25 = 50
25% ------ 50
100% ----- ? => 200
Answer: D
Answer: D
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 21.6%. What would have been the percentage of profit earned if no discount was offered?
Options:
A)60%
B)28%
C)30%
D)56%
E)73%
Rationale: Let C.P. be Rs. 100.
Then, S.P. = Rs. 121.60
Let marked price be Rs. x. Then, 95/100 x = 121.60
x = 12160/95 = Rs. 128
Now, S.P. = Rs. 128, C.P. = Rs. 100
Profit % = 28%.
Answer: B
Answer: B
Question: The length of rectangle is thrice its breadth and its perimeter is 72 m, find the area of the rectangle?
Options:
A)432 sq m
B)356 sq m
C)243 sq m
D)428 sq m
E)528 sq m
Rationale: 2(3x + x) = 72
l = 27 b = 9
lb = 27 * 9 = 243
ANSWER:C
Answer: C
Question: John bought 20 kg of wheat at the rate of Rs.8.50 per kg and 35 kg at the rate of Rs.8.75 per kg. He
mixed the two. Approximately at what price per kg should he sell the mixture to make 40% profit as the
cost price?
Options:
A)Rs.12
B)Rs.8
C)Rs.16
D)Rs.20
E)None of these
Rationale: Explanation :
CP=20×8.5+35×8.75=170+306.25=476.25Profit=40%SP=(100+Profit%)100×CP=(100+40)100×476.25=140
100×476.25=1404×19.05=35×19.05Total quantity = 20 + 35 = 55 KgSP per
Kg=35×19.0555=7×19.0511≈7×1911≈13311≈12
Answer : Option A
Answer: A
Question: What least number should be added to 1024, so that the sum is completely divisible by 25?
Options:
A)1
B)3
C)2
D)0
E)5
Rationale: 1024 Ã· 25 = 40 with remainder = 24
24 + 1 = 25.
Hence 1 should be added to 1024 so that the sum will be divisible by 25
Answer: Option A
Answer: A
Question: What will be the compound interest on a sum of Rs. 23,000 after 3 years at the rate of 12% p.a.?
Options:
A)Rs. 9313.34
B)Rs. 9720
C)Rs. 10123.20
D)Rs. 10483.20
E)None
Rationale: Amount = [23000 * (1 + 12/100)3]
= 23000 * 28/25 * 28/25 * 28/25 = Rs. 32313.34
C.I. = (32313.34- 23000) = Rs. 9313.34
ANSWER:A
Answer: A
Question: Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: F17, K22, __, U32, Z37, ... What number should fill the blank?
Options:
A)N25
B)O26
C)P27
D)Q28
E)R29
Rationale: C
P27
In this series, the letters progress by 5, and the numbers increase by 5.
Answer: C
Question: Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 4 scones must be equal to which of the following?
Options:
A)Y/10
B)200/Y
C)100Y/(8X)
D)XY/200
E)Y/(5X)
Rationale: Rachel eats 4 scones/10 minutes = 2/5 scones per minute
The time for Rachel to eat 1 scone is 5/2 minutes.
The time for Rachel to eat Y scones is 5Y/2 minutes.
The time for Henry to eat X scones is 5YX/200 minutes.
The time for Henry to eat 1 scone is 5Y/200 minutes.
The time for Henry to eat 4 scones is 20Y/200 = Y/10 minutes.
The answer is A.
Answer: A
Question: 20 men shake hands with each other. Maximum no of handshakes without cyclic handshakes.
Options:
A)190
B)200
C)210
D)220
E)230
Rationale: 1st person will shake hand with 19 people
2nd person will shake hand with 18 people
3rd person will shake hand with 17 people
......
total no. of handshakes = 19+18+17+...+3+2+1 = 19*(19+1)/2 = 190
or, if there are n persons then no. of shakehands = nC2 = 20C2 = 190
ANSWER:A
Answer: A
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 25%. What is the selling price of the cycle?
Options:
A)s. 1050
B)s. 1160
C)s. 1190
D)s. 1202
E)s. 1204
Rationale: since,c.p=1400
loss%=(c.p-s.p)/c.p*100
25=(1400-s.p)/1400*100
so,after solving answer=1050.
ANSWER:A
Answer: A
Question: A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Options:
A)Rs 662
B)Rs 662.01
C)Rs 662.02
D)Rs 662.03
E)None of these
Rationale: Explanation:
=[200(21/20×21/20×21/20)+200(21/20×21/20)+200(21/20)]=662.02
Option C
Answer: C
Question: How many trailing Zeroes does 49! + 50! have?
Options:
A)9
B)10
C)11
D)12
E)22
Rationale: 49!+50!= 51*49!
No of trailing 0's = no of 5*2
no of 2's = 49/2+49/4+49/8+49/16+49/32 = D
no of 5's = 49/5+49/25=10=P
now since
P < D
no of trailing 0's = 10
ANSWER:B
Answer: B
Question: The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 12 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
A)31.25
B)31.5
C)33.75
D)35.0
E)37.5
Rationale: Rate of flow of water in second hour = 12 gallons per hour
Rate of flow of water in first hour = 12/(3/2) = 8 gallons per hour
Rate of flow of water in third hour = (125/100)* 12 = (5/4) * 12 = 15 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 12+8+15 = 35 gallons
Answer D
Answer: D
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 82. How many points altogether did the team score?
Options:
A)662
B)672
C)652
D)646
E)721
Rationale: 8 * 82 = 656 – 10 = 646
ANSWER:D
Answer: D
Question: Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $42 of gas?
Options:
A)196
B)284
C)336
D)412
E)572
Rationale: 42/4 = 10.5 gallons
10.5*32 = 336 miles
The answer is C.
Answer: C
Question: Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 55 and the turban. Find the price of the turban.
Options:
A)27
B)36
C)29
D)50
E)11
Rationale: Let the price of turban be x.
Thus, for one year the salary = (90 + x)
For 9 months he should earn 3434 (90 + x).
Now he gets one turban and Rs. 55.
Thus, 3434 (90 + x) = 55 + x or 270 + 3x = 220 + 4x or x = 50
Answer:D
Answer: D
Question: Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 21 have taken the preparatory course and 42 have not taken the course. How many members are there in the swim club?
Options:
A) 40
B) 60
C) 80
D) 90
E) 140
Rationale: 30% of the members have passed the test, thus 70% have not passed the test.
We also know that 42+21=63 members have not passed the test, thus 0.7*Total=63 --> Total=90.
Answer: D.
Answer: D
Question: One-third less than 30% of 180 is equal to:
Options:
A)15
B)30
C)36
D)40
E)45
Rationale: Lots of ways to tackle this.
30% of 180 =54
1/3 of45= 18
So, 1/3less than 54 is equal to 54- 18 = 36
Answer: C
Answer: C
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 3000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
Options:
A)13,000
B)11,600
C)12,000
D)14,000
E)16,400
Rationale: Let the number of shares be x.
5*x -10000(money paid in taxes) = 6(x- 3000)
Solving for x, we get the shares as 13000.
Ans :(Option 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
B)772
C)288
D)266
E)2848
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: Month	Average Price
per Dozen
April $1.2
May $1.20
June $3.3
The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
Options:
A)1.8
B)1.9
C)2.04
D)2.13
E)2
Rationale: Say x dozen eggs were sold in May.
Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.
Total x+2x/3+4x/3=3x dozen eggs were sold in three months.
Total sales: 2x/3*1.2+x*1.2+4x/3*3.3=$6.4x. The average price per dozen 6.4x/3x=$ 2.13
D
Answer: D
Question: The speed of a train is 90 kmph. What is the distance covered by it in 12 minutes?
Options:
A)15
B)18
C)77
D)52
E)42
Rationale: 90 * 12/60 = 18 kmph
Answer:B
Answer: B