mathewhe/aqua_rat huggingface dataset:
Question: John is traveling to a meeting that is 30 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
(A) 25 mph
(B) 37 mph
(C) 41 mph
(D) 49 mph
(E) 60 mph
Rationale: Well 60mph. E. Time*rate=distance --> 0.5*rate=30 --> rate=60
Answer: (E) 60 mph
Question: If a apple costs c cents, how many apples can be bought for d dollars ?
(A) 100acd
(B) 100d/ac
(C) ad/100c
(D) c/100ad
(E) 100ad/c
Rationale: We can also solve the question using equivalent ratios.
Use the ratio number of apples/cost in DOLLARS
First, notice that c DOLLARS is 100 times more than c CENTS
So, if we can buy a apples for c cents, then we can buy 100a apples for c DOLLARS
Let x = the number of apples that we can by for d dollars
We can now set up two equivalent ratios.
100a/c = x/d
Cross-multiply to get: (100a)(d) = cx
Divide both sides by c to get: 100 ad/c = x
ANSWER:E
Answer: (E) 100ad/c
Question: What is the average of four tenths and three thousandths
(A) 0.2022
(B) 0.3325
(C) 0.2015
(D) 0.2012
(E) 0.2114
Rationale: Explanation:
Four tenths = 0.4
three thousandths = 0.003
The average is (0.4 + 0.003)/2 = 0.2015
Answer: C
Answer: (C) 0.2015
Question: Awordis defined as a sequence of two dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?
(A) 3
(B) 4
(C) 6
(D) 8
(E) 9
Rationale: Each dot can be either yellow or blue, so 2 options for each dot: 2*2 = 4.
Answer: B.
Answer: (B) 4
Question: Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 6840 km and comes back to the starting point. The total time taken by him is:
(A) 914.2 hours
(B) 900 hours
(C) 915 hours
(D) 868.6 hours
(E) 915 hours
Rationale: Explanation:
Speed downstream = (16 + 2) = 18 kmph
Speed upstream = (16 - 2) = 14 kmph
Total time taken = 6840/18 + 6840/14 = 380 + 488.6 = 868.6 hours
Answer: Option D
Answer: (D) 868.6 hours
Question: Rs.1775 is divided amongst A, B, C so that 5 times A's share, 3 times B's share and 7 times C's share are all equal. Find C's share?
(A) 177
(B) 150
(C) 817
(D) 716
(E) 375
Rationale: A+B+C = 5905A = 3B = 7C = xA:B:C = 1/5:1/3:1/7= 21:35:1515/71 * 1775= Rs.375Answer: E
Answer: (E) 375
Question: A no. x when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
(A) 1
(B) 4
(C) 9
(D) 11
(E) 13
Rationale: 221 + 43 = 264/17 = 9 (Remainder)
C
Answer: (C) 9
Question: An article is bought for Rs.600 and sold for Rs.300, find the loss percent?
(A) 12%
(B) 16%
(C) 19%
(D) 50%
(E) 60%
Rationale: 600 ----300
100 ---- ? => 50%
Answer: D
Answer: (D) 50%
Question: Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 4 hours and machine B produces k bottles in 5 hours. How many hours does it take machines A and B, working simultaneously, to produce 18k bottles?
(A) 28
(B) 32
(C) 36
(D) 40
(E) 44
Rationale: A's rate = k/4
B's rate = k/5
k/4 + k/5 = 9k/20
18k / (9k/20) = 40 hours
The answer is D.
Answer: (D) 40
Question: Find the constant k so that : -x2 - (k + 12)x - 8 = -(x - 2)(x - 4)
(A) 11
(B) 12
(C) 18
(D) 14
(E) 15
Rationale: -x2 - (k + 12)x - 8 = -(x - 2)(x - 4) : given
-x2 - (k + 12)x - 8 = -x2 + 6x - 8
-(k + 12) = 6 : two polynomials are equal if their corresponding coefficients are equal.
k = -18 : solve the above for k
correct answer C
Answer: (C) 18
Question: At the store, Sam bought a shirt and a toaster. There was a 4% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax?
(A) 0.96(K – T)
(B) 0.96K – T
(C) 0.96(K – 1.04T)
(D) (K – T)/1.04
(E) (K/1.04) – T
Rationale: 1.04S + 1.04T = K
1.04S = K - 1.04T
S = (K/1.04) - T
The answer is E.
Answer: (E) (K/1.04) – T
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
(A) 7 years
(B) 9 years
(C) 6 years
(D) 2 years
(E) 3 years
Rationale: Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) = 42 years.
Required difference = (42 - 36) = 6 years.
Answer: C
Answer: (C) 6 years
Question: A standard Veggiematik machine can chop 28 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 6 minutes?
(A) 36
(B) 252
(C) 108
(D) 216
(E) 324
Rationale: Direct Relationship:-
1 standard Veggiematik machine - 28 Carrots - 4 minutes,
1 standard Veggiematik machine - 7 Carrots - 1 minute,
Now
6 standard Veggiematik machine - ? Carrots - 6 minutes,
Hence = 7X6X6 =252 Carrots
Answer B
Answer: (B) 252
Question: Worldwide production of motor vehicles was 3.9 million vehicles in 1946 and 53.1 million in 1987. Of the following, which is closest to the average (arithmetic mean) annual increase, in millions, in worldwide production of motor vehicles during this period?
(A) 0.08
(B) 1.2
(C) 1.1
(D) 10.5
(E) 41.8
Rationale: Change in production of motor vehicles = 53.1 - 3.9 = 49.2 million in 41 years (1987 - 1946)
average increase per year = 49.2/41 = 1.2 million (apporx.)
Answer (B)
Answer: (B) 1.2
Question: How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
(A) 3587.59
(B) 3587.52`
(C) 3587.5
(D) 3587.52
(E) 3587.51
Rationale: I = (8200 * 2.5 * 17.5)/100 = (8200 * 5 * 35)/(100 * 2 * 2)
= Rs. 3587.50
Answer:C
Answer: (C) 3587.5
Question: (132)^7 × (132)^? = (132)^11.5.
(A) 4.5
(B) 3
(C) 4
(D) 3.5
(E) 8.5
Rationale: (132)^7 × (132)^x = (132)^11.5
=> 7 + x = 11.5
=> x = 11.5 - 7 = 4.5
Answer is A
Answer: (A) 4.5
Question: Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(23 Ã— 24)
so that the result is equal to 1?
(A) 7/24
(B) 11/24
(C) 13/24
(D) 17/24
(E) 19/24
Rationale: The given expression
= 1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ...... + 1/(23 Ã— 24)
= (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + .......... + (1/23 - 1/24)
= 1/2 - 1/24 = 11/24
Thus, the fraction we should add = 1 - 11/24 = 13/24
The answer is C.
Answer: (C) 13/24
Question: In how many different number of ways 2 boys and 2 girls can sit on a bench?
(A) 72
(B) 24
(C) 76
(D) 78
(E) 28
Rationale: npn = n!
4p4 = 4 × 3 × 2 × 1 = 24
B
Answer: (B) 24
Question: If x+y=14, x-y=60, for integers of x and y, x=?
(A) 37
(B) 35
(C) 25
(D) 20
(E) 42
Rationale: x+y =14
x-y = 60
2x = 74
x = 37
Answer is A
Answer: (A) 37
Question: On dividing a certain number by 5, 7 and 8 successively, the remainders obtained are 2, 3 and 4 respectively. When the order of division is reversed and the number is successively divided by 8, 7 and 5, the respective remainders E will be:[/b]
(A) 3, 3, 2
(B) 3, 4, 2
(C) 5, 4, 3
(D) E=5, 5, 2
(E) 6, 4, 3
Rationale: Let the original number be X. Then by the successive dividing we have followings :
X=5A+2
A=7B+3
B=8C+4.
So we have A=7*(8C+4)+3=7*8C+31, and X=5*(7*8C + 31)+2 = 5*7*8C + 157.
Now by dividing X by 8, 7, 5 successively we have followings :
X=8*(5*7C+19)+5
5*7C+19=7*(5C+2) + 5
5C+2=5C+2.
The remainders are, therefore, 5, 5, 2.
The answer is (D).
Answer: (D) E=5, 5, 2
Question: A certain bus driver is paid a regular rate of $14 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $982 in total compensation, how many total hours did he work that week?
(A) 57
(B) 51
(C) 59
(D) 55
(E) 52
Rationale: For 40 hrs = 40*14=560
Excess = 982-560=422
For extra hours =.75(14)=10.5+14=24.5
Number of extra hrs =422/24.5=17.2=17 approx.
Total hrs =40+17=57
Answer A
Answer: (A) 57
Question: If the average (arithmetic mean) of five consecutive negative integers is 6k – 1, what is the difference between the greatest and least of the five integers?
(A) 4K
(B) 4k^2 -4k
(C) 4-4k
(D) 4
(E) 4k+4
Rationale: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 6k - 1
=> n = 30k - 5
Greatest = n + 2 = 30k - 5 + 2 = 30k - 3
Least = n - 2 = 30k - 5 - 2
=> Difference = 30k - 3 - (30k - 7)
= 4
Answer - D
Answer: (D) 4
Question: When positive integer N is divided by positive integer P, the quotient is 18, with a remainder of 6. When N is divided by (P + 2), the quotient is 15 and the remainder is 3. What is the value of N?
(A) 151
(B) 331
(C) 168
(D) 691
(E) 871
Rationale: N/P=18 6/P= 18P+6
N/(P+2)=15 2/(P+2)=15P+30+3
solving these two equations
we get P=9 N= 168 answer is C.
Answer: (C) 168
Question: One man can do as much work in one day as a woman can do in 2 days. A child does one third the work in a day as a woman. If an estate-owner hires 39 pairs of hands, men, women and children in the ratio 6 : 5 : 2 and pays them in all Rs. 1113 at the end of the days work. What must the daily wages of a child be, if the wages are proportional to the amount of work done?
(A) Rs. 14
(B) Rs. 5
(C) Rs 20
(D) Rs 7
(E) None of these
Rationale: Explanation :
Let work done by a man in one day = x
Then,
work done by a woman in 1 day = x/2.
work done by a child in 1 day = x/6.
estate owner hires total 39 persons
men : women : children = 6:5:2
Number of men = 39 × 6 / 13 = 18
Number of women = 39 × 5 / 13 = 15.
Number of children = 39 × 2 / 13 = 6.
Work done by 18 men in 1 day = 18x
Work done by 15 women in 1 day = 15x/2
Work done by 6 children in 1 day = 6x/6 = x.
Total amount given to 6 children = 1113 × x / ( 18x + 15x/2 + x) = 2226 / (36 + 15 + 2 ) = 42.
Daily wage of a child = 42 / 6 = Rs. 7.
Answer : D
Answer: (D) Rs 7
Question: Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then
(A) XB > AB
(B) XB < YD
(C) AX > XB
(D) AX < CD
(E) AX > AB
Rationale: A--X------B
C-----Y---D
AX < CD.
Answer: D.
Answer: (D) AX < CD
Question: Three numbers are in the ratio 3:4:5 and their L.C.M. is 6000. Their H.C.F is?
(A) 20
(B) 30
(C) 40
(D) 50
(E) 100
Rationale: Let the numbers be 3x,4x and 5x
their L.C.M. = 60x
60x = 6000
x = 100
The numbers are 3*100 , 4*100 , 5*100
Hence required H.C.F. = 100
Answer is E
Answer: (E) 100
Question: an operation * is defined by the equation:
a*b=a-b/a+b, for all numbers a and b such that a is not equal to -b, if a is not equal to -y and a*y=0, then y=?
(A) a) -a
(B) b) -1/a
(C) c) 1/a
(D) d)0
(E) e)a
Rationale: If a*y=0 and a=-y then a-y = o of a=y, so answer E
Answer: (E) e)a
Question: Calculate the time it will take for a train that is 240 meter long to pass a bridge of 130 meter length, if the speed of the train is 50 km/hour ?
(A) 21.64 seconds
(B) 22.64 seconds
(C) 23.64 seconds
(D) 26.64 seconds
(E) 35.64 seconds
Rationale: Speed = 35 Km/hr = 50*(5/18) m/sec = 13.89 m/sec
Total distance = 240+130 = 370 meter
Time = Distance/speed
= 370 * (1/13.89) = 26.64 seconds
Answer: D
Answer: (D) 26.64 seconds
Question: Jill's favorite number is even and has some repeating prime factors. John is guessing Jills favorite number, and the only hint she gives is that 7 is a prime factor. What is Johns best guess?
(A) 84
(B) 105
(C) 54
(D) 42
(E) 70
Rationale: A 84=2*2*2*7
B 105 is odd
C 54 = 2*3*3
D 42 = 2*3*7
E 70 = 2*5*7
The answer must meet three criteria: Odd, Have repeating prime factors, and 7 is a prime factor. A is the only answer that meets all criteria
Answer: (A) 84
Question: A certain junior class has 1,000 students and a certain senior class has 600 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
(A) 3/40,000
(B) 1/10,000
(C) 9/2,000
(D) 1/60
(E) 1/15
Rationale: Total number of ways of choosing one student from each group is = 600 * 1000
Number of cases in which a sibling pair will be got is = 60
Thus the probability that the 2 students selected will be a sibling pair is
= 60 /(600 * 1000)
= 1/10,000
B
Answer: (B) 1/10,000
Question: If the area of a square with the side a is equal to the area of a triangle with base a, then the altitude of the triangle is.
(A) a
(B) a/2
(C) 2a
(D) 2/a
(E) None of above
Rationale: Explanation:
We know area of square =a2Area of triangle =1/2∗a∗h
=>12∗a∗h=a2
=>h=2a
Option C
Answer: (C) 2a
Question: Three small cruise ships, each carrying 9 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random and each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected at random to receive a gift certificate worth $35, and at Port C, one passenger will be selected at random to receive a gift certificate worth $25. How many different ways can the gift certificates be given out?
(A) 17,496
(B) 18,324
(C) 19,538
(D) 20,464
(E) 21,372
Rationale: The number of ways for the ships to go to the ports is 3! = 6.
At Port A, the number of ways to choose two winners is 9C2 = 36.
At Port B, the number of ways to choose one winner is 9.
At Port C, the number of ways to choose one winner is 9.
The total number of ways to give out gift certificates is 6*36*9*9 = 17,496
The answer is A.
Answer: (A) 17,496
Question: When all the students in a school are made to stand in rows of 48, 22 such rows are formed. If the students are made to stand in rows of 34, how many such rows will be formed ?
(A) 31
(B) 36
(C) 38
(D) 19
(E) 21
Rationale: Explanation:
Total number of students = 48 x 22
When arranged in rows of 34, number of rows formed are,
= 31.
Answer: A
Answer: (A) 31
Question: The average runs of a cricket player of 15 innings was 25. How many runs must he make in his next innings so as to increase his average of runs by 6?
(A) 121
(B) 421
(C) 143
(D) 176
(E) 84
Rationale: Explanation:
Average after 16 innings = 31
Required number of runs = (31 * 16) – (25 * 15)
= 496 – 375 = 121
ANSWER A
Answer: (A) 121
Question: A watch was sold at a loss of 10%. If it was sold for Rs.540 more, there would have been a gain of 8%. What is the cost price?
(A) 1000
(B) 2998
(C) 3000
(D) 2788
(E) 2991
Rationale: 90%
108%
--------
18% ---- 540
100% ---- ? => Rs.3000
Answer:C
Answer: (C) 3000
Question: If PINTU is coded as 79523 in a certain code language, how would you code LUMBO in the same language?
(A) 13426
(B) 14236
(C) 13436
(D) 33426
(E) 15263
Rationale: 1 2 3 4 5 6 7 8 9
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
sooo...LUMBO is 33426...
ANSWER:D
Answer: (D) 33426
Question: If 3s + 1 < 2s < 9 - s, which of the following must be true?
I. -1 < s < 3
II. s < -1
III. s < 3
(A)  II only
(B)  III only
(C)  I and II only
(D)  II and III only
(E)  I, II and III
Rationale: Just try plugging s in a number like 0 or 1, and you'll quickly find that the inequality doesn't hold.
So you can immediately cross out any answers with I or III, leaving just (A) II only.
Answer: (A)  II only
Question: There is a 30 cm line marked at each cm and an insect is placed at every cm. 9 frogs are trained to jump a constant distance. the first one jumps 2cm in every leap, second one jumps 3cm and so on till 9th one jumps 10cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 30cm, how many insects were still left after the race got over.
(A) 0
(B) 4
(C) 6
(D) 7
(E) 10
Rationale: Only prime numbers greater than 10 and less than 30 were let
11,13,17,19,23,29
total=6
Ans=C
Answer: (C) 6
Question: Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)R can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
(A)  660
(B)  600
(C)  500
(D)  300
(E)  240
Rationale: In general, repetitions are taken care of by dividing the permutation by the factorial of the number of objects that are identical. in this case,R if you think logically, A,B,C,D options are not divisible by 6!. 6 is total number of letters in the word SELFIE. Only option E is divisible by 6!. So correct answer is E that is 240
Answer: (E)  240
Question: A generous man set aside a certain sum of money for equal distribution weekly to the needy of his acquaintance. One day he remarked, "If there are five fewer applicants next week, you will each receive two dollars more." Unfortunately, instead of there being fewer there were actually four more persons applying for the gift. "This means," he pointed out, "that you will each receive one dollar less." How much did each person receive at that last distribution?
(A) $7
(B) $6
(C) $9
(D) $9
(E) $2
Rationale: B
$6
At first there were twenty persons, and each received $6.00. Then fifteen persons (five fewer) would have received $8.00 each. But twenty-four (four more) appeared and only received $5.00 each. The amount distributed weekly was thus $120.00.
Answer: (B) $6
Question: From the integer n, if n*n*n is even, then what is true from below options?
(A) n is odd
(B) n*n is odd
(C) n is odd and n*n is even
(D) n is even
(E) None
Rationale: n is even
Option D
Answer: (D) n is even
Question: Fresh grapes contain 65% by weight while dried grapes contain 10% water by weight. What is the weight of dry grapes available from 400 kg of fresh grapes?
(A) 105.00 kg
(B) 115.60 kg
(C) 125.00 kg
(D) 130.50 kg
(E) 155.55 kg
Rationale: From the question we know: 400kg * 65% = 260kg of water in the fresh grapes
400kg - 260kg of water = 140kg of non-water mass
We are looking for the weight of the dry grapes (X).
Since the question tells us that 10% of the weight of the dry graps is water and we know that 140kg is non-water mass we can set up the following equation:
X = 1/10(X) + 140kg
9/10(X) = 140kg
X = 155.55 kg
Answer- E
Answer: (E) 155.55 kg
Question: The difference between the ages of a couple is 5 years. Ten years ago, the husband was twice as old as wife. The present age of the husband is
(A) 25
(B) 45
(C) 35
(D) 75
(E) 55
Rationale: Let their ages of x years and (x + 5) years respectively.
Then, (x + 5) - 10 = 2(x - 10)
⇔ x - 5 = 2x - 20
⇔ x = 15.
∴ Present age of the husband = (15 + 10)
= 25 years.
Answer:	25 years
Answer: (A) 25
Question: On day one, a store sold 100 hats. On each of the next d days, the company sold 70 hats. If the average daily sales of hats over this time period (including day one) is 75 hats, what is the value of d?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Rationale: 100 + 70d = 75(d+1).
5d = 25.
d = 5.
The answer is A.
Answer: (A) 5
Question: Find the selling price of goods if two salesmen claim to make 25% profit each, one calculating it on cost price while another on the selling price, the difference in the profits earned being Rs. 100 and selling price being the same in both the cases?
(A) Rs. 1200
(B) Rs. 1600
(C) Rs. 2400
(D) Rs. 2500
(E) Rs. 3000
Rationale: Solution: Let CP's be Rs. 1000 each, their respective SP will be,
1000==25%↑==> 1250 [person calculating profit on the CP]
1000 ==33.33%↑==> 1333.33 [The person calculating his profit on SP: 25% of SP = 33.33% of CP]
The difference turned out to be = 83.33. this has occured when we have assumed the CP as 1000. But, we are given difference of Rs. 100.
So, on comparing,
83.33 = 1000
1 = [1000/83.33]
100 = [1000/83.33] *100 = Rs. 1200.
Answer: Option A
Answer: (A) Rs. 1200
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 18m/h. what is the speedof the person while he was going to his office?
(A) 8km/h
(B) 10km/h
(C) 12km/h
(D) 13km/h
(E) 14km/h
Rationale: u = k , v= 3k
\inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=18
\inline \Rightarrow 1.5k = 18
\inline \Rightarrow k=12km/h
C
Answer: (C) 12km/h
Question: What least number must be subtracted from 9679 so that the remaining number is divisible by 15?
(A) 3
(B) 1
(C) 16
(D) 4
(E) 15
Rationale: On dividing 9679 by 15, we get remainder = 4.
Required number be subtracted = 4
ANSWER:D
Answer: (D) 4
Question: A no.when divided by 242 gives a remainder 100, what remainder will be obtainedby dividingthe same no.18?
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
Rationale: 242 + 100 = 342/18 = 19 (Remainder)
E
Answer: (E) 19
Question: The speed at which a boy can row a boat in still water is 60 kmph. If he rows downstream, where the speed of current is 12 kmph, what time will he take to cover 400 metres?
(A) 17
(B) 18
(C) 19
(D) 20
(E) 21
Rationale: Speed of the boat downstream = 60 + 12 = 72 kmph
= 72 * 5/18 = 20 m/s
Hence time taken to cover 400 m = 400/20 = 20 seconds.
Answer: D
Answer: (D) 20
Question: The price of onions increases by 25%, by what percent should a housewife reduces the consumption so that expenditure on onions can be same as before?
(A) 14.28
(B) 16.66
(C) 20
(D) 25
(E) 33.33
Rationale: Expenditure = Consumption * Price = CP
Now the price increases by 25% => Expenditure = C * (1.25P)
Let C1 be the new consumption such that the expenditure remains the same.
C* P = C1 * (1.25P)
C1 = 0.8 C
20% reduction in consumption is needed.
ANSWER:C
Answer: (C) 20
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 6 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
(A) 480
(B) 287
(C) 720
(D) 270
(E) 927
Rationale: 1/x - 1/20 = -1/24
x = 120
120 * 6 = 720
Answer: C
Answer: (C) 720
Question: A man purchased a grinder for Rs. 640 and sold it at a profit of 15%. The selling price is:
(A) Rs. 736
(B) Rs. 812
(C) Rs. 684
(D) None of these
(E) Cannot be determined
Rationale: s.p.=115/100 × 640=736
Answer: A
Answer: (A) Rs. 736
Question: In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% in both. The percentage of these who passed in both the subjects is :
(A) 10%
(B) 20%
(C) 30%
(D) 40%
(E) 50%
Rationale: pass percentage = 100 - (35+45-20) = 100-60 = 40
ANSWER:D
Answer: (D) 40%
Question: In 24 minutes, the minute hand gains over the hour hand by
(A) 16°
(B) 80°
(C) 108°
(D) 132°
(E) 154°
Rationale: In one hour, the hour hand moves 30°, which is 0.5° each minute.
In one hour, the minute hand moves 360°, which is 6° each minutes.
The minute hand gains 5.5° each minute.
In 24 minutes, the minute hand gains 24 * 5.5° = 132°.
The answer is D.
Answer: (D) 132°
Question: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
(A) 5
(B) 4
(C) 20
(D) 25
(E) 30
Rationale: Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.
The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.
The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.
Required number of numbers = (1 x 5 x 4) = 20.
ANSWER C
Answer: (C) 20
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 30% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
(A) 32%
(B) 34%
(C) 35%
(D) 36%
(E) 38%
Rationale: Let x be Mork's income, then Mindy's income is 4x.
The total tax paid is 0.4x + 1.2x = 1.6x
1.6x / 5x = 0.32
The answer is A.
Answer: (A) 32%
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 4 kmph, then the speed of the boat in still water is :
(A) 2.5 km/hr
(B) 4.2 km/hr
(C) 3 km/hr
(D) 10.5 km/hr
(E) None of these
Rationale: Solution
Speed of stream = 1/2 (14-8) km/hr= 3kmph . Answer C
Answer: (C) 3 km/hr
Question: If x and y are positive integers such that y is a multiple of 5 and 3x + 8y = 500, 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 8y is also a multiple of 5.
3x = 500 - 8y
500 - 8y 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.