divelab/Sys2Bench huggingface dataset:
Question: A can give B 100 meters start and C 120 meters start in a kilometer race. How much start can B give C in a kilometer race?
Options:
A)10.22 meters
B)11.22 meters
C)22.22 meters
D)33.22 meters
E)None of these
Rationale: Explanation:
A runs 1000 meters while B runs 900 meters and C runs 880 meters.
Therefore, B runs 900 meters while C runs 880 meters.
So, the number of meters that C runs when B runs 1000 meters = (1000 x 880)/900 = 977.778 meters
Thus, B can give C (1000 - 977.77) = 22.22 meters start
Answer: C
Answer: C
Question: In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 28160, how many purple chips were selected?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: 28160 = 1*5*8^3*11
The factors of 8 must come from the purple point value, so there are 3 purple chips.
The answer is C.
Answer: C
Question: A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio T of students per class?
Options:
A)T=3
B)T=4
C)6
D)8
E)12
Rationale: Another way to look at the problem...
Since the total is 120, RATIO * CLASSES = R*C = 120.....(i)
we are looking where ratio increases by 1 and # of classes decreases by 10 = (R+1)(C-10) = RC+C-10R-10=120....(ii)
(ii)-(i)....
C=10R+10 = 10(R+1).......
so # of classes has to be multiple of 10
AS RC=120.... 10(R+1)*R = 120...................R(R+1) = 12..
so 12 is a multiple of consecutive numbers ONLY 3 *4 fits in..... and R=3
A
Answer: A
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 42 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Options:
A)35
B)36
C)37
D)38
E)39
Rationale: James worked for 41 hours hence he earned 40*x+2*2x=44x dollars;
We know that Harry also earned the same 44x dollars, out of which he earned 30x dollars for thefirst 30 hoursplus 14x additional dollars. Since for each additional hour he gets 1.5x dollars then he worked for 14x/1.5x=9 additional hours, so Harry worked for total of 30+9=39 hours.
Answer: E.
Answer: E
Question: In a certain lottery, the probability that a number between 14 and 20, inclusive, is drawn is 1/6 . If the probability that a number 14 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn?
Options:
A) 1/18
B) 1/6
C) 1/2
D) 1/3
E) 5/6
Rationale: You can simply use sets concept in this question. The formula
Total = n(A) + n(B) - n(A and B) is applicable here too.
Set 1: Number 14 or larger
Set 2: Number 20 or smaller
1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either14 or moreOR20 or lessOR both)
2/3 + P(Set 2) - 1/6 = 1
P(Set 2) = 1/2
Answer (C)
Answer: C
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Options:
A)1028
B)1024
C)1023
D)1025
E)1084
Rationale: Explanation:
Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted.
Hence, the required number of ways = 45 - 1.
= 210 - 1 = 1024 - 1 = 1023
Answer:C
Answer: C
Question: A cube is divided into 729 identical cubelets. Each cut is made parallel to some surface of the cube . But before doing that the cube is coloured with green colour on one set of adjacent faces ,red on the other set of adjacent faces, blue on the third set. So, how many cubelets are there which are painted with exactly one colour?
Options:
A)293
B)294
C)295
D)296
E)298
Rationale: total cubes created are 729
so a plane of big cube has 9*9 cubes
out of that(n-2)*(n-2)=7*7=49 are painted only one side
and a cube has six sides=6*49=294
ANSWER:B
Answer: B
Question: What is the radius of a circle that has a circumference of 3.14 meters?
Options:
A)0.1
B)0.3
C)0.5
D)0.7
E)0.9
Rationale: Circumference of a circle = 2πr.
Given, circumference = 3.14 meters.
Therefore,
2πr = Circumference of a circle
or, 2πr = 3.14.
or, 2 * 3.14r = 3.14,[Putting the value of pi (π) = 3.14].
or, 6.28r = 3.14.
or, r = 3.14/6.28.
or, r = 0.5.
correct answer C
Answer: C
Question: Johnop went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?
Options:
A)3 km
B)6 km
C)4.5 km
D)km
E)none of the above
Rationale: Assume the distance to the top of the hill (1 way) as: x
Now, speed=distance/time => time=distance/speed
So, for the first half of the journey, he traveled uphill at 1.5km/hr, so the time taken for the first leg of the journey is: x/1.5.
For the second half, he traveled downhill at 4.5km/hr, so the time taken for the second leg of the journey is: x/4.5
Now, the total time for the trip is given as 4 hrs.
Equating, (x/1.5)+(x/4.5)=4 => (3x+x)/4.5=4 => x=4.5 km
So, the distance one side is = 4.5 km.
The OA mentioned is 9km, which is exactly double of this distance, i.e., the total distance traveled during both legs of the journey, but the question only asked for the distance till the top of the hill, i.e., one way, so the answer should be 4.5km
Can someone assist me in understanding where am I wrong here?
Answer: C
Question: fill in ht blank:(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,(b) to find the y-intercept of a line, we let ___ equal 0 and solve for ___; to find x- intercept , we let ____ equal 0 and solve for___
Options:
A)(a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for y
B)(a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for x ; to find x- intercept , we let y equal 0 and solve for y
C)(a) the point with coordinates (0,0) is called line of a rectangular coordinate system, (b) to find the y-intercept of a line, we let y equal 0 and solve for z ; to find x- intercept , we let x equal 0 and solve for x
D)(a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the y-intercept of a line, we let z equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for x
E)none of the above
Rationale: (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the y-intercept of a line, we let x equal 0 and solve for y ; to find x- intercept , we let y equal 0 and solve for xcorrect answer (E)
Answer: E
Question: P and Q entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A withdrew Rs.5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by:
Options:
A)Rs.2400
B)Rs.3000
C)Rs.3600
D)Rs.4800
E)Rs.3800
Rationale: A : B : C = (16000 x 3 + 11000 * 9) : (12000 * 3 + 17000 * 9) : (21000 * 6)
= 147 : 189 : 126 = 7 : 9 : 6.
Therefore, Difference of B and C’s shares = Rs. 26400 x 9/22 – 26400 x 6/22
= Rs.3600
ANSWER:C
Answer: C
Question: Kyle, Devon, and Catherine each try independently to solve a problem. If their individual probabilities for success are 1/2, 1/3 and 5/9, respectively, what is the probability that Kyle but not Devon and Catherine will solve the problem?
Options:
A)13/29
B)1/4
C)15/21
D)11/19
E)4/27
Rationale: P(Kyle will solve)=1/2
P(Devon will not solve)= 1 - 1/3 = 2/3
P(Catherine will not solve) = 1- 5/9 = 4/9
P= (1/2)*(2/3)*(4/9) = 8/54 = 4/27.
Answer:E
Answer: E
Question: Of the teams competing in the world archery championships, Fifty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Options:
A)13/20
B)4/20
C)13/15
D)17/20
E)13/17
Rationale: Assume 100 total people.
50% of 100 = 50 --->Europeans
1/2 of 50 ---> 25 Americans
1/20 of 100 ---> 5 Africans
Now you would add them all up, and minus it by the total (100). 100 - 80= 20. So, 20 people out of 100 are not EU, US or Africans. 20/100 is also equal to 4/20.
So therefore, the answer is B.
Answer: B
Question: An empty fuel tank with a capacity of 212 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
Options:
A)160
B)98
C)100
D)80
E)50
Rationale: Say there are A gallons of fuel A in the tank, then there would be 212-A gallons of fuel B.
The amount of ethanol in A gallons of fuel A is 0.12A;
The amount of ethanol in 212-A gallons of fuel B is 0.16(212-A);
Since the total amount of ethanol is 30 gallons then 0.12A+0.16(212-A)=30 --> A=98.
Answer: B.
Answer: B
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
Options:
A)2700
B)2800
C)2000
D)2500
E)2600
Rationale: Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000
=(45/100)x 6000= 2700.
ANSWER A
Answer: A
Question: If s > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - s) =
Options:
A)1/4
B)1/3
C)1/2
D)3/4
E)1
Rationale: Let y-z=t ---> since y is halfway between x and z and x>y we have x-y=t. Moreover x-z=(x-y)+(y-z)=2t. Similarly since x is halfway between w and z, we have s-x=2t. So y-x=-t, y-s=-3t. ---> (y - x)/(y - s) = 1/3.
The answer is (B).
Answer: B
Question: In how many ways can the letters of wordTECHNOLOGYbe arranged such that all the Consonants always appear together?
Options:
A)9!
B)4!*7!
C)5!*5!
D)5!*4!*2!
E)6!*4!
Rationale: Let the arrangment be: _ _ _ _ _ _ _ _ _ _ (10 letters, 3 vowels E, O, O and 7 consonant T, C, H, N, L, G, Y)
For all consonants together, consider them as 1 group {T, C, H, N, L, G, Y} E O O --> this gives us 4! arrangements with {} group considered as 1 . Now {} group can in itself be arranged in 7! ways
Thus total arrangements with all consonants together = 4!*7! --> B is the correct answer.
Answer: B
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Options:
A)11 seconds
B)88 seconds
C)99 seconds
D)12 seconds
E)18 seconds
Rationale: Speed of the boat downstream = 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m = 60/5 = 12 seconds.Answer: D
Answer: D
Question: If p(x)=ax^4+bx^3+cx^2+dx+e has roots at x=1,2,3,4 and p(0)=48, what is p(5)
Options:
A)48
B)24
C)0
D)50
E)40
Rationale: p(x)=ax^4+bx^3+cx^2+dx+e
it can be written as
p(x)=a*(x-1)*(x-2)*(x-3)*(x-4) ----(1)
put x=0 in(1), we get
p(0)=a*(-1)(-2)(-3)(-4)
=> 48=a*24
=> a=2
so, p(x)=2*(x-1)*(x-2)*(x-3)*(x-4)
=> p(5)=2*(5-1)*(5-2)*(5-3)*(5-4)=2*4*3*2*1=48
p(5) = 48
ANSWER:A
Answer: A
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 12 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Options:
A)13
B)17
C)18
D)19
E)12
Rationale: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/12
=> 1/x = 1/6 - 1/12 = (2 - 1)/12 = 1/12
=> x = 12.
Answer: E
Answer: E
Question: The difference between the local value and the face value of 8 in the numeral 96348621 is
Options:
A)6992
B)6982
C)7982
D)7972
E)7992
Rationale: Explanation:
(Local value of 8) - (Face value of 8) = (8000 - 8) = 7992
E)
Answer: E
Question: A person earns 15% on investment but loses 10% on another investment. If the ratio of the two investments be 3:5, what is the gain or loss on the two investments taken together?
Options:
A)0.63 %
B)0.64 %
C)0.65 %
D)0.66 %
E)None
Rationale: Sol.
Suppose he invested 300 & 500 respectively profit : 15% of 300 = 45 loss =
500 *10 = 50 net loss = - 5 5/800 *100 = 0.63 %
Answer A
Answer: A
Question: A room is 10 meters long, 8 meters wide 6 meters in height. The longest possible rod which can be placed in the room is
Options:
A)13.12 meters
B)13.92 meters
C)13.52 meters
D)13.72 meters
E)14.14 meters
Rationale: Square root of 10^2+8^2+6^2...(Diognal) which is square root of 200 that lies 14<√200<15. Hence the answer should be E
Answer: E
Question: 8103/x is a non-terminating decimal. Which of the following could be a value of x?
Options:
A)2
B)5
C)9
D)12
E)15
Rationale: Then:
c. 9=3*3
d. 12=3*2*2
e. 15=3*5
The sum of digits in 8103 is 12, it means that 8103 is divisible by 3 (i.e. 3 is one of the factors of 8103), which will eliminate one "3" from x, leaving us with only 2's or 5's in options d. and e. Only c is left.
ANSWER:C
Answer: C
Question: On a sum of money, the simple interest for 2 years is Rs. 320, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is
Options:
A)15%
B)14.25%
C)12.5%
D)10.5%
E)11.5%
Rationale: Explanation:
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Solution 1
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Simple interest for 2 years is Rs. 320
=> Simple interest for first year = 320/2 = 160
=> Similarly, simple interest for second year is also 160
Compound Interest for first year = 160
Compound Interest for second year = 340-160 = 180
we can see that compound Interest for second year is more than
simple interest for second year by 180-160 = 20
i.e., Rs.20 is the simple interest on Rs.160 for 1 year
R = 100 × SI/PT = (100 × 20)/(160 × 1) = 12.5%
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Solution 2
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The difference between compound interest and simple interest on Rs. P for 2 years at R% per annum
= (R × SI)/(2 × 100)
Difference between the compound interest and simple interest = 340 - 320 = 20
(R × SI)/(2 × 100) = 20
(R × 320)/(2 × 100) = 20
R = 20 × 100 × 2320 = 12.5%
Answer: Option C
Answer: C
Question: A train 600 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Options:
A)298 m
B)279 m
C)500 m
D)289 m
E)700 m
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (600 + x)/60 = 65/3
x = 700 m.
Answer: E
Answer: E
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.65, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $250?
Options:
A) 1,108
B) 2,100
C) 2,108
D) 2,124
E) 2,628
Rationale: To maximize number of hot dogs with 250$
Total number of hot dogs bought in 250-pack = 22.95*10 =229.5$
Amount remaining = 250 - 229.5 = 20.5$
Total number of hot dogs bought in 20-pack = 3.05*6 =18.3$
Amount remaining = 20.5 - 18.3 = 2.2$
Total number of hot dogs bought in 8-pack = 1.55*1 =1.55$
Amount remaining = 2.2 - 1.65 = 0.55$
This amount is too less to buy any 8- pack .
Greatest number of hot dogs one can buy with 250 $ = 250*10+20*6+8*1 = 2628
Answer E
Answer: E
Question: What will be the compound interest on a sum of Rs. 27,000 after 3 years at the rate of 12% p.a.?
Options:
A)s.10123.77
B)s.10123.21
C)s.10933.05
D)s.10123.28
E)s.10123.21
Rationale: Amount = [27000 * (1 + 12/100)3]
= 27000 * 28/25 * 28/25 * 28/25
= Rs. 37933.0
C.I. = (37933.056 - 27000)
= Rs. 10933.05
Answer:C
Answer: C
Question: In an encryption code 'PLAYS' is written as '{:SUD' when encoded and 'SLEEP' is written as 'D:RR{' when encoded. How is ''SLAPPY" written in that encryption code?
Options:
A)D:S{{U
B)SLAPPY
C){RUDD:
D){:SUU{
E)U{{S:D
Rationale: D = S
: = L
S = A
P = {
P = {
Y = U
Correct Answer: A
Answer: A
Question: The average of 10 consecutive integers is 25. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
Options:
A)19
B)19.5
C)20
D)20.5
E)21
Rationale: The total subtracted is (9+8+...+1) = (9*10) / 2 = 45
On average, each number will be reduced by 45/10 = 4.5
Therefore, the overall average will be reduced by 4.5
The answer is D.
Answer: D
Question: Amber works 8 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?
Options:
A)8d
B)20d
C)10md/6
D)20d/m
E)20md
Rationale: ANSWER: A The passage states that she works 8 days a month at d dollars per day, so 8 d is her monthly pay
Answer: A
Question: Jimâ€™s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.3 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Options:
A)$3.15
B)$4.95
C)$4.80
D)$5.05
E)$5.40
Rationale: Let the fixed charge of Jimâ€™s Taxi Service = 2.25 $
and charge per 2/5 mile(.4 mile) = .3$
Total charge for a trip of 3.6 miles = 2.25 + (3.6/.4) * .3
= 2.25 + 9*.3
= 4.95 $
Answer B
Answer: B
Question: Mahesh can do a piece of work in 35days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
Options:
A)45
B)25
C)37
D)41
E)70
Rationale: Work done by Mahesh in 35days = 20*1/35 = 4/7
Remaining work = 1 - 4/7 = 3/7
3/7 work is done by Rajesh in 30days
Whole work will be done by Rajesh is 30*7/3 = 70days
Answer is E
Answer: E
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Options:
A)50
B)88
C)77
D)66
E)55
Rationale: Let the length of each train be x m.
Then, distance covered = 2x m.
Relative speed = 46 - 36 = 10 km/hr.
= 10 * 5/18 = 25/9 m/sec.
2x/36 = 25/9 => x = 50.
Answer: A
Answer: A
Question: The speed of the train, 150m long, is 50km/hr. How much time will it take to pass a platform 600m long?
Options:
A)74 secs.
B)64 secs.
C)54 secs.
D)44 secs.
E)34 secs.
Rationale: Distance covered = ( 150+600)= 750 m Speed =50km/hr=(50*5/18)=125/9m/s Time taken =750/125*9 =54 secs. Answer : C
Answer: C
Question: $392 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share?
Options:
A)$212
B)$216
C)$220
D)$224
E)$228
Rationale: Let the shares for A, B, and C be x, 2x, and 4x respectively.
7x = 392
x = 56
4x = 224
The answer is D.
Answer: D
Question: If it takes 6 identical printing presses exactly 4 hours T to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers?
Options:
A)3 hours, 20 minutes
B)4 hours, 20 minutes
C)4 hours, 48 minutes
D)5 hours, 48 minutes
E)6 hours, 50 minutes
Rationale: 6 presses - 5,000 newspapers - 4 hours ;
3 presses - 2,500 newspapers - 4 hours ;
3 presses - 3,000 newspapers - 4 hours + 1/5*4 hours = 4 hours, 48 minutes (since 2,500+1/5*2,500=3,000) = T.
Answer: C.
Answer: C
Question: The water level in a rectangular swimming pool measuring 50 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
Options:
A)100
B)250
C)750
D)1200
E)4687.5
Rationale: 6 inches = 1/2 feet (there are 12 inches in a foot.), so 50*25*1/2=625 feet^3 of water must be removed, which equals to 625*7.5=4687.5 gallons.
Answer: E.
Answer: E
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
Options:
A)39:40
B)40:39
C)3:4
D)4:3
E)1:2
Rationale: 3: 4
A = 3/7*210 = 90
390: 400
39:40
ANSWER:A
Answer: A
Question: How much water should be added to 11 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Options:
A)25 liters
B)29 liters
C)30 liters
D)32 liters
E)35 liters
Rationale: Let x ltr water to be added
2ltr alcohol to be represented as (20(1-3/4(new soln.=11+x)))
2=5%*(11+x)-------->x=29
Ans B
Answer: B
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.50. If the company’s latest order required a truck with at least 240,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Options:
A)$960
B)$1,875
C)$1,725
D)$2,050
E)$2,250
Rationale: Number of boxes= Total volume/volume of one box= 240,000/ (8*10*12)= 250
One box costs 7.50, so 250 box will cost= 250*7.5= 1875
B is the answer
Answer: B
Question: The 80-milliliter solution of sugar and water is 25% sugar. How much water (in milliliters) must be added to make a solution that is 5% sugar?
Options:
A)300
B)320
C)340
D)360
E)380
Rationale: In the original solution the amount of sugar is 0.25*80=20 ml.
Let the volume of the new solution be V.
0.05V=20 ml.
V=400 ml.
The amount of water we need to add is 400 - 80 = 320 ml.
The answer is B.
Answer: B
Question: Consider a right triangle RBC with length of sides being x,y and z where y represents the hypotenuse , Which of these represent the radius of the circle which is inscribed in triangle RBC
Options:
A)[A] x+y+z/3
B)[B] x-y+z/3
C)[C] x-y+z/2
D)[D] (x^2 + y^2 + z^2)/3
E)[E] cannot be determined
Rationale: Radius of a circle inscribed in the right triangle RBC r = (x + z - y)/2 where y is the hypotenuse and x and y are other two sides.
Answer: C
Answer: C
Question: How many words of 11letters could be Formed with all the vowels present only in the even places ,and the consonants only in the odd places,using letters of english alphabet each letter may appear only once.
Options:
A)21!
B)26!/5!
C)21! /(5! * 5! )
D)21!* 5!/15!
E)21!* 6!/5!
Rationale: (21*20*19*18*17*16)*5! = 21! * 5! / 15!
ANSWER:C
Answer: C
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 14,260, Deepak's share is:?
Options:
A)s.8467
B)s.8428
C)s.8400
D)s.8429
E)s.8680
Rationale: Ratio of their shares
= 22500 : 35000
= 9:14
Deepak's share
= 14260 * 14/23
= Rs.8680.
Answer:E
Answer: E
Question: If 9a - b = 10b + 60 = -12b - 2a, what is the value of 11a + 11b?
Options:
A)-8
B)-4
C)0
D)4
E)8
Rationale: (i) 9a - 11b = 60
(ii) 2a + 22b = -60
Adding (i) and (ii):
11a + 11b = 0
The answer is C.
Answer: C
Question: A survey was sent to 65 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
Options:
A)2%
B)4%
C)14%
D)28%
E)63%
Rationale: case 1: (7/65)=x/100
x=10%
case 2: (9/63)=y/100
y=14%
So percent increase is =(y-x)=(14-10)%=4%
Answer is B
Answer: B
Question: What least value should be replaced by * in 842*124 so the number become divisible by 9
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: Explanation:
Trick: Number is divisible by 9, if sum of all digits is divisible by 9, so (8+4+2+*+1+2+4) = 21+* should be divisible by 9,
21+6 will be divisible by 9,
so that least number is 6.
Answer: Option D
Answer: D
Question: What is the CP of Rs 100 stock at 4 discount, with 1/5% brokerage?
Options:
A)99.6
B)96.2
C)97.5
D)98.25
E)None of these
Rationale: Explanation:
Use the formula,
CP= 100 – discount + brokerage%
CP= 100-4+1/5
96.2
Thus the CP is Rs 96.2.
ANSWER B
Answer: B