mathewhe/aqua_rat huggingface dataset:
Question: Of the teams competing in the world archery championships, Thirty 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.
(A) 10/20
(B) 15/20
(C) 13/15
(D) 17/20
(E) 13/17
Rationale: Assume 100 total people.
30% of 100 = 30 --->Europeans
1/2 of 30 ---> 15 Americans
1/20 of 100 ---> 5 Africans
Now you would add them all up, and minus it by the total (100). 100 - 50= 50. So, 50 people out of 100 are not EU, US or Africans. 50/100 is also equal to 10/20.
So therefore, the answer is A.
Answer: (A) 10/20
Question: 3 boys and 7 girls can complete John work in 10 days. 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?
(A) 10 days
(B) 20 days
(C) 40 days
(D) 60 days
(E) 70 days
Rationale: Work done by 4 boys and 6 girls in 1 day = 1/8
Work done by 3 boys and 7 girls in 1 day = 1/10
Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as
4m + 6w = 1/8 ---(1)
3m + 7w = 1/10 ---(2)
Solving equation (1) and (2) , we get m=11/400 and w=1/400
Amount of work 10 girls can do in John day = 10 × (1/400) = 1/40
Ie, 10 girls can complete the work in 40 days
C
Answer: (C) 40 days
Question: Reena took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
(A) 8.55%
(B) 5.55%
(C) 4.55%
(D) 6.55%
(E) 7.55%
Rationale: Let rate = R% and time = R years.
Then, (1400 * R * R) / 100 = 432
14R2 = 432
R2 = 30.8 => R = 5.55
ANSWER:B
Answer: (B) 5.55%
Question: A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 550 bolts?
(A)  36
(B)  72
(C)  120
(D)  132
(E)  180
Rationale: Old Machine
100 bolts in 60 mins
so,
5/3 bolts in 1 min
New Machine
150 bolts in 60 mins
so,
5/2 bolts in 1 min
together,
5/3 + 5/2 =
25/6 bolts in 1 min
so, for 550 bolts
550 * 6 / 25 = 132 mins
Ans D
Answer: (D)  132
Question: Find the cost of fencing around a circular field of diameter 20 m at the rate of Rs.1.50 a meter?
(A) 287
(B) 94.2
(C) 156
(D) 158
(E) 267
Rationale: 2 * 22/7 * 10 = 62.8
62.8 * 1 1/2 = Rs.94.2
Answer: B
Answer: (B) 94.2
Question: A man buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent
(A) 4%
(B) 2%
(C) 1%
(D) 3%
(E) 5%
Rationale: CP = 27.50
SP = 28.60
Gain = 28.60 - 27.50 = 1.10
gain % = gain/cost*100
(1.10/27.50*100)% = 4%
ANSWER A
Answer: (A) 4%
Question: A photo-mat shop charges $0.55 for the first photo inside a film, and 20% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?
(A) 4 films and 12 photos
(B) 5 films and 6 photos
(C) 5 films and 14 photos
(D) 6 films and 4 photos
(E) 2 films and 28 photos
Rationale: 1st photo = 0.55
Subsequent = 0.55*0.6=0.33
Price of 1 full film=0.55+0.33*35=12.1
Price of 4 full film = 12.1*4=48.4
52.58-48.4=4.18
4.18=0.55+0.33x
x=11
52.58--->2 full films and 1+11=28 photos
Answer: E
Answer: (E) 2 films and 28 photos
Question: Meena wrote all the numbers from 1 to 59,999 inclusive. How many digits did she write in total?
(A) 248,889
(B) 268,889
(C) 288,889
(D) 308,889
(E) 328,889
Rationale: 1-9=>1*9 digits
10-99=>2*90=180 (numbers between 10-99 is 90 where each has 2 digits)
100-999=>3*900=2700
1000-9999=>4*9000 = 36,000
10000-59999=>5*50,000 = 250,000
The answer is 288,889
The answer is C.
Answer: (C) 288,889
Question: A company declared a semi-annual dividend of 12%. Find the annual dividend of Sam owing 2000 shares of the company having a par value of Rs. 10 each.
(A) 4000
(B) 4200
(C) 4400
(D) 4800
(E) 5000
Rationale: semi-annual dividend = 10×12/100 = Rs.1.2
Total semi-annual dividend = 2000 × 1.2 = Rs.2400
Total annual dividend = 2 × Rs.2400 = Rs.4800
Answer is D.
Answer: (D) 4800
Question: A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is
(A) 1220
(B) 1250
(C) 22030
(D) 220030
(E) NOne
Rationale: Sol.
Required number = (555 + 445) x 2 x 110 + 30
= 220000 + 30
= 220030.
Answer D
Answer: (D) 220030
Question: A train running at a speed of 36 km/h passes an electric pole in 14 seconds. In how many seconds will the whole train pass a 370-meter long platform?
(A) 45
(B) 47
(C) 49
(D) 51
(E) 53
Rationale: Let the length of the train be x meters.
When a train crosses an electric pole, the distance covered is its own length x.
speed = 36 km/h = 36000 m / 3600 s = 10 m/s
x = 14 * 10 = 140 m.
The time taken to pass the platform = (140 +370)/ 10 = 51 seconds
The answer is D.
Answer: (D) 51
Question: The amount of water (in ml) that should be added to reduce 6 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
(A) 8 ml
(B) 5 ml
(C) 4 ml
(D) 6 ml
(E) 1 ml
Rationale: 3 3
30% 70%
30% ----- 3
70% ------? => 7 - 3 = 4ml
Answer:C
Answer: (C) 4 ml
Question: A 300 meter long train crosses a platform in 33 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
(A) 287m
(B) 278m
(C) 350m
(D) 228m
(E) 250m
Rationale: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 33
= 50/3
3(x + 300)
= 1650 è x
= 250m.
Answer:E
Answer: (E) 250m
Question: There are 4 prime numbers in ascending order. The multiplication of 1st 3 is 385 and that of last 3is 1001. what is the last number is
(A) 10
(B) 15
(C) 16
(D) 13
(E) 18
Rationale: Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = 13
D
Answer: (D) 13
Question: Two taps can separately fill a cistern 4 minutes and 6 minutes respectively and when the waste pipe is open, they can together fill it in 8 minutes. The waste pipe can empty the full cistern in?
(A) 7
(B) 8
(C) 6
(D) 9
(E) 3.4
Rationale: 1/4 + 1/6 - 1/x = 1/8
x = 24/7 = 3.4
Answer: E
Answer: (E) 3.4
Question: In a digital circuit which was to implement (A B) + (A)XOR(B), the designer implements (A B) (A)XOR(B) What is the probability of error in it ?
(A) 25%
(B) 35%
(C) 75%
(D) 45%
(E) 55%
Rationale: A	B	AB	A XOR B	(AB)+(A XOR B)	(AB) (A XOR B)
0	0	0	0	0	0
0	1	0	1	1	0
1	0	0	1	1	0
1	1	1	0	1	0
so, we are getting 3 wrong answers out of 4
probability of error is 3/4=75%
ANSWER:C
Answer: (C) 75%
Question: In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 46% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
(A) 6
(B) 10
(C) 15
(D) 20
(E) 25
Rationale: Use the forumla ;
Total = Group1 + Group2 + Group3 - (sum of 2-group overlaps) - 2*(all three) + Neither
100 = 46 + 30 + 20 - ( sum of 2) -2(5) +15
100 = 101-( sum of 2)
1 = sum of 2
so more than 1 = 6
A
Answer: (A) 6
Question: If the sides of a triangle are 32 cm, 27 cm and 12 cm, what is its area?
(A) 120 cm2
(B) 112 cm2
(C) 162 cm2
(D) 666 cm2
(E) 886 cm2
Rationale: The triangle with sides 32 cm, 27 cm and 12 cm is right angled, where the hypotenuse is 32 cm.
Area of the triangle = 1/2 * 27 * 12 = 162 cm2
Answer: C
Answer: (C) 162 cm2
Question: 65% of the employees of a company are men. 60% of the men in the company speak French and 40% of the employees of the company speak French. What is % of the women in the company who do not speak French?
(A) 4%
(B) 10%
(C) 97.14%
(D) 90.14%
(E) 20%
Rationale: No of employees=100(say)
Men=65
Women=35
Men speaking french=0.60*65=39
Employees speaking french=0.4*100=40
Therefore women speaking French=40-39=1
And women not speaking French=35-1=34
% of women not speaking French=34/35*100=97.14%
Answer C
Answer: (C) 97.14%
Question: How many two digit numbers of distinct digits can be formed by using digits 3, 4, 5, 6 and 7 such that the numbers are divisible by 9?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 6
Rationale: CONCEPT: A number will be divisible by 9 if sum of all the digits of the number is divisible by 9
Here the Possible sum of the two distinct digits can be 9 only in order to satisfy the given condition
If sum of Digits = 9, No. = 36, 45, 54, 63 --- 4 Cases
Answer: option D
Answer: (D) 4
Question: Today is Monday. After 61 days, it will be:
(A) Wednesday
(B) Saturday
(C) Tuesday
(D) Thursday
(E) sunday
Rationale: EXPLANATION
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
Answer B
Answer: (B) Saturday
Question: The cost of 3 pens and 5 pencils is Rs.150. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens?
(A) Rs.200
(B) Rs.250
(C) Rs.300
(D) Rs.450
(E) None of these
Rationale: Explanation:
Let the cost of one pen is ‘5x’ and pencil is ‘x’
3 X 5x + 5x = Rs.150
15x + 5x = Rs.150
X = 150/20 = 7.50
:. Cost of 1 pen = 5x = 5 x 7.50 = 37.50
:. Cost of 12 pens, i.e. (one dozen) = 37.50x 12 = Rs.450
Answer: Option D
Answer: (D) Rs.450
Question: A certain galaxy is known to comprise approximately 6 x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
(A) 800
(B) 1,250
(C) 8,000
(D) 12,000
(E) 80,000
Rationale: 6*10^11
50 mln = 5*10^7
we divide 10^11 by 10^7 and we get (10^4)*6 = 60,000 and divide by 5. the result is 12,000
D
Answer: (D) 12,000
Question: If a certain number is divided by 12, the quotient, dividend, and divisor, added together, will amount to 64. What is the number?
(A) 18
(B) 28
(C) 48
(D) 38
(E) 59
Rationale: Let x = the number sought.
Then x/12 + x + 12 = 64.
And x - 624/13 = 48.
Answer: (A) 18
Question: 6^4− 4^4 = ?
(A) 20
(B) 52
(C) 104
(D) 520
(E) 1040
Rationale: We can write the above in terms of
(a+b) (a-b)
6^4−4^4= (6^2)2 - (4^2)2 = (6^2−4^2)*(6^2+4^2) =
(36−16)*(36+16) => 20*52 = 1040
Ans option E.
Answer: (E) 1040
Question: If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
(A) 9:6:4
(B) 2:3:3
(C) 1:2:6
(D) 2:3:5
(E) 6:5:9
Rationale: A:B = 1/2:1/3 = 3:2
B:C = 1/2:1/3 = 3:2
--------------------
A:B:C = 9:6:4
ANSWER A
Answer: (A) 9:6:4
Question: If x-y=8, which of the following must be true?
I. Both x and y are positive
II. If x is positive, y must be positive
III. If x is negative, y must be negative
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
Rationale: The best way to approach such questions is to plug in values for x and y
Given: x-y=8
I. Both x and y are positive:
Let x=10 and y=2
x-y=8
But,
Let x=6 and y=-2
x-y=8
Therefore, NOT TRUE
II. If x is positive, y must be positive
Let x=10 and y=2
x-y=8
But,
Let x = 6 and y=-2
x-y=8
Therefore, NOT TRUE
III. If x is negative, y must be negative
If x is negative, for the expression x-y=8 to be true, y must be a -ve number. Otherwise, the sum of two negative numbers will yield another negative number!
Therefore, TRUE
Ans: 'C'
Answer: (C) III only
Question: A student completes a 3 part exam as follows. The student completes sections A in 4 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour?
(A) 10:3
(B) 9:2
(C) 7:1
(D) 8:3
(E) 11:2
Rationale: The time spent on section B and section C is 28 minutes each.
The ratio of C to A is 28:4 = 7:1
The answer is C.
Answer: (C) 7:1
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.1 the sixth number is?
(A) 9.7
(B) 10
(C) 10.5
(D) 11.5
(E) 12
Rationale: Explanation:
1 to 11 = 11 * 10.9 = 119.9
1 to 6 = 6 * 10.5 = 63
6 to 11 = 6 * 11.1 = 66.6
63 + 66.6 = 129.6 – 119.9 = 9.7
6th number = 9.7
Option A
Answer: (A) 9.7
Question: Bill spends two days driving from Point A to Point B . On the first day, he drove 2 hours longer and at an average speed 5 miles per hour faster than he drove on the second day. If during the two days he drove a total of 680 miles over the course of 18 hours, what was his average speed on the second day, in miles per hour?
(A) 20
(B) 25
(C) 28
(D) 30
(E) 35
Rationale: First recognize that we have TWO pieces of information regarding the time Bill spent driving each day.
On day 1, Bill drove 2 hours longer than he drove on day 2.
So, let x = # of driving hours on day 2
Then x + 2 = # of driving hours on day 1
Bill drove a TOTAL of 18 hours
So, x + (x + 2) = 18
Simplify: 2x + 2 = 18
Solve, x = 8
So, Bill drove 10 hours on day 1 and he drove 8 hours on day 2
Now let's solve the question by starting with a word equation.
Let x = speed driven on day 2
So, x + 5 = speed driven on day 1
(Distance traveled on day 1) + (Distance traveled on day 2) = 680
Distance = (rate)(time)
We get: (x+ 5)(10) + (x)(8) = 680
Expand: 10x + 50 + 8x = 680
Simplify: 18x + 50 = 680
18x = 630
x = 35 (mph)
ANSWER:E
Answer: (E) 35
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.70400?
(A) 89100
(B) 81028
(C) 27772
(D) 29889
(E) 22312
Rationale: 70400* 9/8 * 9/8 = 89100.Answer:A
Answer: (A) 89100
Question: John can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows John has in his herd?
(A) 180
(B) 336
(C) 456
(D) 120
(E) 155
Rationale: On first look B, C,E are not divisible either by 5 or 6 - ruled out.
A,D divisible by both 5,6, but 180 is divisible by 9.
Answer : D
Answer: (D) 120
Question: If x is an integer and 2.134 × 10^x is less than 21000, what is the greatest possible value for x?
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
Rationale: If x=4
2.134 × 10^4 = 21340 > 21000
So, x = 3
Answer : E
Answer: (E) 3
Question: What is the ratio between perimeters of two squares one having 11 times the diagonal then the other?
(A) 3: 8
(B) 3: 6
(C) 3: 7
(D) 11: 1
(E) 3: 3
Rationale: d = 11d d = d
a√2 = 11d a√2 = d
a = 11d/√2 a = d/√2 => 11: 1
Answer:D
Answer: (D) 11: 1
Question: 1/2-[(2/7*7/32)+1]+9/16=
(A) 29/16
(B) 19/16
(C) 15/16
(D) 9/13
(E) 0
Rationale: 1/2 - [(2/7*7/32) + 1] + 9/16 =
1/2 - [(1/16) + 1] + 9/16 =
1/2 - [17/16] + 9/16 =
8/16 - 17/16 + 9/16 = 0
The answer is E.
Answer: (E) 0
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 10.5km apart, if they walk in the same direction?
(A) 15 hours
(B) 16 hours
(C) 17 hours
(D) 18 hours
(E) 21 hours
Rationale: The relative speed of the boys = 5.5kmph â€“ 5kmph
= 0.5 kmph
Distance between them is 10.5 km
Time = Distance/Speed
Time= 10.5km / 0.5 kmph = 21 hrs
answer :E
Answer: (E) 21 hours
Question: If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
(A) 11/122
(B) 11/120
(C) 11/121
(D) 11/140
(E) 11/111
Rationale: Explanation:
Let the numbers be a and b.
Then, a + b = 55 and ab = 5 x 120 = 600.
The required sum
Answer: B) 11/120
Answer: (B) 11/120
Question: A and B starts a business with Rs.8000 each, and after 7 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
(A) 18:11
(B) 22:13
(C) 23:12
(D) 36:25
(E) 11:10
Rationale: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 7 months and then withdraws Rs.4000. So, the investment of B for remaining 11 months is Rs.4000 only.
A : B
8000*18 : (8000*7) + (4000*11)
144000 : 100000
A:B = 36:25
ANSWER:D
Answer: (D) 36:25
Question: The number 50 is divided into two equal parts, the ratio of the largest part to the smallest is 2/3, then the largest part is?
(A) 30
(B) 35
(C) 40
(D) 45
(E) 20
Rationale: assume two numbers are x and y
x/y = 2/3.. 2x = 3y ----1
The number 50 is divided into two equal parts. If you make equal parts there is no question of Largest part and Smallest Part. So assuming 50 is devided in to two parts.
x+ y = 50 ---- 2
simplyfy 1 and 2 x =30 and y = 20
ANSWER:A
Answer: (A) 30
Question: How many W ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?
(A) 3
(B) 16
(C) 28
(D) 32
(E) 56
Rationale: Ways to select 3 people from 8 people (4 twins x 2) = 8C3 = 56
Ways to select 1 twin + 1 people = 4C1*6C1 = 24
Ways to select a group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen W= 56 - 24 = 32
Ans: D
Answer: (D) 32
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?
(A) 67 hours
(B) 47 hours
(C) 17 hours
(D) 27 hours
(E) 16 hours
Rationale: Explanation:
In this type of questions we need to get the relative speed between them,
The relative speed of the boys = 5.5kmph â€“ 5kmph
= 0.5 kmph
Distance between them is 8.5 km
Time = Distance/Speed
Time= 8.5km / 0.5 kmph = 17 hrs
Answer: C
Answer: (C) 17 hours
Question: The speed of the boat in still water in 12 kmph. It can travel downstream through 60 kms in 3 hrs. In what time would it cover the same distance upstream?
(A) 8 hours
(B) 6 hours
(C) 4 hours
(D) 15 hours
(E) 6 hours
Rationale: Still Water=12km/hr
Downstream=60/3=20km/hr
Upstream=>> still water=(u+v/2) =>> 12=u+20/2 = 4km/hr
So time taken in upstream = 60/4 =15hrs
ANSWER:D
Answer: (D) 15 hours
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 6 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
(A) 11
(B) 10
(C) 9
(D) 12
(E) 15
Rationale: Suppose they meet x hours after 6 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 9 a.m.
Answer: C
Answer: (C) 9
Question: 3889 + 12.952 - ? = 3854.002
(A) 47.59
(B) 48.95
(C) 49.85
(D) 47.95
(E) 49.75
Rationale: Let 3889 + 12.952 - x = 3854.002.
Then x = (3889 + 12.952) - 3854.002
= 3901.952 - 3854.002
= 47.95.
Answer is D.
Answer: (D) 47.95
Question: A car gets 20 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
(A) 8.5 gallons
(B) 9 gallons
(C) 6.5 gallons
(D) 5.5 gallons
(E) 6 gallons
Rationale: Each 20 kilometers, 1 gallon is needed. We need to know how many 20 kilometers are there in 180 kilometers?
180 / 20 = 9 * 1 gallon = 9 gallons correct answer B
Answer: (B) 9 gallons
Question: the probability of a student possessing a ball point pen in exam is 3/5 & possessing an ink pen is 2/3. find his probability of possessing at least one of them
(A) 10/15
(B) 11/15
(C) 12/15
(D) 13/15
(E) 14/15
Rationale: the probability of a student possessing a ball point pen in exam is 3/5 .
the probability of a student not possessing a ball point pen in exam is 2/5 & possessing an ink pen is 2/3.
& not possessing an ink pen is 1/3.
his probability of possessing none of them =2/5*1/3=2/15
his probability of possessing one of them =1-2/15 = 13/15
ANSWER:D
Answer: (D) 13/15
Question: Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel?
(A) Rs.2166.67
(B) Rs.2145.67
(C) Rs.2157
(D) Rs.2167.1
(E) Rs.2178.34
Rationale: Now, in this numerical, there is no common loss and gain %.
Hence, solve it making equations.
Let cost price of camel be x.
As cost of camel and carriage = Rs 5000
Cost of carriage = Rs. (5000 – x)
After selling camel he gains 20% and on carriage a loss of 10%. But on the whole he gains 3%.
Therefore,
20% of x – 10 % of (5000 – x) = 3 % of 5000
20 × x – 10 × (5000 – x) = 3 × 5000
100 100 100
x – (5000 – x) = 150
5 10
10x – (5000 – x) × 10 = 150 × 10
5 10
2x-5000+x=1500
3x=1500+5000
x=2166.67
The cost of camel = Rs.2166.67
Option (A) is the correct answer
Answer: (A) Rs.2166.67
Question: A sporting goods store carries only yellow and white golf balls. At the beginning of the day it had 625 golf balls in stock, and by the end of the day it had sold 80% of its inventory of golf balls. If the store sold an equal number of yellow and white golf balls, and in doing so sold all of its white golf balls, how many yellow golf balls did the store have to begin the day?
(A) 75
(B) 125
(C) 225
(D) 325
(E) 375
Rationale: First, find the number of golf balls that the store had sold by the end of the day: 625 * 0.8 = 500
If the store sold an equal number of white and yellow golf balls, we know that w + y = 500 and w = y,
so w = y = 500/2 = 250
Because all the white golf balls were sold, we know the remaining golf balls (sold and unsold) are all yellow.
We can subtract the number of white golf balls sold from the total number of golf balls at the beginning of the day to find the total number of yellow golf balls: 625 - 250 = 375
So the answer is E.
Answer: (E) 375
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 294. What is the rate of interest per annum?
(A) 18
(B) 12
(C) 9
(D) 14
(E) 16
Rationale: Explanation:
[15000 * (1 + R/100)2 - 15000] - (15000 * R * 2)/100 = 294
15000[(1 + R/100)2 - 1 - 2R/100] = 294
15000[(100 + R)2 - 10000 - 200R]/10000 = 294
R2 = (294 * 2)/3 = 196 => R = 14
Rate = 14%
Answer: Option D
Answer: (D) 14
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has 80 paisa, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
(A) Rs.185
(B) Rs.410
(C) Rs.285
(D) Rs.385
(E) Rs.475
Rationale: A:B:C = 80:65:40
= 16:13:8
8 ---- 40
37 ---- ? => Rs.185
ANSWER:A
Answer: (A) Rs.185
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
(A) 72
(B) 828
(C) 729
(D) 34
(E) 35
Rationale: Explanation:
Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2 = 35 cm2
Answer: Option E
Answer: (E) 35
Question: How many FIVE letter words are formed using the letters of the word LEADER?
(A) 860
(B) 720
(C) 230
(D) 460
(E) 940
Rationale: The number of letters in the given word is 6.
The number of FIVE letter words that can be formed using these four letters is 6P5=6*5*4*3*2=720
Answer:B
Answer: (B) 720
Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range M of the 10 numbers?
(A) 25
(B) 27
(C) 30
(D) 52
(E) 55
Rationale: Positions: 1 2 3 4 5 6 7 8 9 10
Given: 1st position = x; 4th position = a; 7th position = y; 10th position = b
y - x = 25
Let x be 0 and y = 25. We are asked to maximize the range and the integers are distinct.
b - a = 30 --> b = 30 + a
In order to increase the range, we have to maximize the value of 'b'.
'b' can be maximized by taking the max value of 'a'.
From the assumed values, maximum value of 'a' can be 22.
Therefore, b = 30 + 22 = 52
Range M= 52 - 0 = 52
Answer: D
Answer: (D) 52
Question: Keshav runs a factory in three shifts of eight hours each with 210 employees. In each shift minimum of 80 employees are required to run the factory effectively. No employees can be allowed to work for more than 16 hours a day. At least how many employees will be required to work for 16 hours every day?
(A) 30
(B) 40
(C) 50
(D) 60
(E) 70
Rationale: total 210 employees and There are 3 shifts of 8 hrs.
per each shift no of employees = 210/3 = 70.
But Per each shift 80 employees are required.
so employess need to work for 16 hrs =80-70=10.
for 3shifts,10*3=30
i.e 30 employees required to work 16 hrs every day.
ANSWER:A
Answer: (A) 30
Question: If x and y are positive integers such that y is a multiple of 5 and 3x + 4y = 600, then x must be a multiple of which of the following?
(A) 3.
(B) 6.
(C) 7.
(D) 8.
(E) 10.
Rationale: If y is a multiple of 5, then 4y is also a multiple of 5.
3x = 600 - 4y
600 - 4y is even and it is a multiple of 5.
Thus x must also be even and a multiple of 5.
Therefore x must be a multiple of 10.
The answer is E.
Answer: (E) 10.