mathewhe/aqua_rat huggingface dataset:
Question: A boy is travelling from his home to school at 5km/hr and reached 5min late. Next day he travelled at 10km/hr and reached 10min early. Distance between home and school?
(A) 2.5km
(B) 3km
(C) 4km
(D) 5.6km
(E) 6.5km
Rationale: Let the distance be x
T1 = x/5 hr
T2 = x/10hr
Difference in time = 5+10 = 15 =1/4hr
x/5-x/10 = 1/4
x/10 = 1/4
x = 2.5 km
Answer is A
Answer: (A) 2.5km
Question: If the average of 16x and 8y is greater than 80, and x is twice y, what is the least integer value of x ?
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12
Rationale: Substitution can be used in the following way:
Always start with the equation: x = 2y. It is more straight forward to manage as compared to the inequality.
Substitute y = x/2, not the other way because you need to find the minimum value of x. So you can get rid of y.
Now go on to the inequality. So 8y = 8x/2 = 4x
Now average of 16x and 4x is greater than 80. Average of 16x and 4x is 10x. So,
10x > 80
x > 8
Answer : A
Answer: (A) 8
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
(A) 22
(B) 77
(C) 44
(D) 88
(E) 12
Rationale: π (152 - 132) = 176
176 * 1/4 = Rs.44
Answer: C
Answer: (C) 44
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
(A) Rs. 500
(B) Rs 569
(C) Rs478
(D) Rs369
(E) Rs178
Rationale: Explanation:
P - 340 = (P*4*8)/100
P =Rs. 500
Answer: A
Answer: (A) Rs. 500
Question: Find the smallest number which should be multiplied with 520 to make it a perfect square
(A) 337
(B) 297
(C) 266
(D) 116
(E) 130
Rationale: Explanation:
520 = 26 * 20 = 2 * 13 * 22 * 5 = 23 * 13 * 5
Required smallest number = 2 * 13 * 5 = 130
130 is the smallest number which should be multiplied with 520 to make it a perfect square.
Answer: E
Answer: (E) 130
Question: Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but the last one contained 8 books and that last shelf contained 15 books, how many shelves does the bookcase have?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Rationale: Let x be the number of shelves.
12x - 21 = 8(x-1) + 15
4x = 28
x= 7
The answer is C.
Answer: (C) 7
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
(A) 35.2
(B) 36.1
(C) 36.2
(D) 36.5
(E) None
Rationale: Solution
Correct sum	= (36x50+48-23)
= 1825.
∴ Correct mean	= 1825 / 50
= 36.5.
Answer D
Answer: (D) 36.5
Question: A trade analyst announced 10% reduction in the unit price of bike. As a result, the sales volume went up by 10%. What was the net effect on the sales revenue?
(A) no change
(B) decreases by 1%
(C) increases by 1%
(D) increases by 10%
(E) None of these
Rationale: Explanation :
Reduction of price = (100 -10)% = 90% = 0.9
Increase of sale = (100+10)% = 110% = 1.1
Total effect = 0.9 X 1.1 = 99%, Decreases by 1%
Answer : B
Answer: (B) decreases by 1%
Question: Tough and Tricky questions: Combinations.
Two contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
(A) 6
(B) 7
(C) 12
(D) 16
(E) 24
Rationale: Number of ways First-place medal can be awarded to four contestants = 2
Number of ways Second-place medal can be awarded to contestants after awarding First-place medal =3
Therefore number of possibilities = 2 *3 =6
Answer:A
Answer: (A) 6
Question: The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
(A) $64
(B) $80
(C) $96
(D) $112
(E) $123
Rationale: Sale Price = (5/4)*(Cost Price)
If the sale price is an integer, then the cost price must be divisible by 4.
The answer is E.
Answer: (E) $123
Question: The W train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the W train 7 hours to reach station B, and 5 additional hours to reach station C. The distance between stations A and B is m kilometers longer than the distance between stations B and C. What is the distance between stations A and C in terms of m?
(A) 1.8m
(B) 6m
(C) 7m
(D) 9m
(E) 12m
Rationale: The reason it is failing for you is that you chose incorrect numbers. If the question says it W took 7 hrs to reach from A to B and 5 hrs to reach from B to C at a constant speed. It shows that distance AB and BC should be in ratio of 7/5.
If you take such numbers you can solve problem.
AB = 7, BC=5
Therefore
AB-BC = 2
But from question, AB-BC =m
=> m=2
Now total distance = AB+BC= 12
Substitute 12 to get answer in terms of m
Total distance =12 =6m
Ans B
Answer: (B) 6m
Question: Given the positive integer x, which of the following must be divisible by 3?
(A) x(x^2−2)
(B) (x−1)*x*(x+1)
(C) x(x+2)^3
(D) x^2*(x−5)
(E) x^2*(x−5)
Rationale: option B) (x−1)*x*(x+1) which represents the product of three consecutive integers, which will always be divisible by 3. hence answer should be B
Answer: (B) (x−1)*x*(x+1)
Question: Which of the following is a prime number ?
(A) 9
(B) 8
(C) 4
(D) 2
(E) 1
Rationale: Explanation :
2 is a prime number
A prime number is a natural number greater than 1 which has no positive divisors
other than 1 and itself.
Hence the primer numbers are 2,3,5,7,11,13,17,... Answer : Option D
Answer: (D) 2
Question: Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 10x boxes?
(A) 13 minutes
(B) 14 minutes
(C) 15 minutes
(D) 16 minutes
(E) 20 minutes
Rationale: Rate = Work / Time
Given Rate of Machine A = X / 10 min
Machine B Produces 2x boxes in 5 min hence , Machine B produces 4x boxes in 10 min .
Rate of Machine B = 4x / 10
we need tofind the combined time that machines A and B, working simultaneouslytakeat their respective constant rates
let's first find the combined Rate of Machine A and B
Rate of Machine A = X / 10 min + Rate of Machine B = 4x / 10 = 5X/10
Now combine Time = combine work needs to be done / Combine Rate = 10x/5x * 10 = 6 Min
Ans: E
Answer: (E) 20 minutes
Question: The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.5 kg. The weight of the new student is
(A) 22 kg
(B) 21.6 kg
(C) 22.4 kg
(D) 13 kg
(E) None of these
Rationale: Exp . The total weight of 29 students = 29* 28
The total weight of 30 students = 30* 27.5
Weight of the new student = ( 30*27.5 – 29*28)
= 825 - 812 = 13
Answer:D
Answer: (D) 13 kg
Question: A pump can fill a tank with water in 3 hours. Because of a leak, it took 6 hours to fill the tank. The leak can drain all the water in ?
(A) 2hr
(B) 1hr
(C) 3hr
(D) 4hr
(E) 6hr
Rationale: Work done by the leak in 1 hour = 1/3 - 1/6 = 1/6
Leak will empty the tank in 6 hours
Answer is E
Answer: (E) 6hr
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
(A) 5600
(B) 6000
(C) 6400
(D) 7200
(E) None
Rationale: Solution
Number of bricks = Volume of the wall/Volume of 1 brick
=(800x600x22.5 /25x11.25x6)
= 6400.
Answer C
Answer: (C) 6400
Question: Ayesha's father was 42 years of age when she was born while her mother was 30 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
(A) 12 years
(B) 14 years
(C) 16 years
(D) 17 years
(E) 6 years
Rationale: Explanation:
Mother's age when Ayesha's brother was born = 30 years.
Father's age when Ayesha's brother was born = (42 + 4) = 46 years.
Required difference = (46 - 30) = 16 years.
Answer: Option C
Answer: (C) 16 years
Question: If a trader sold two cars each at Rs. 325475 and gains 13% on the first and loses 13% on the second, then his profit or loss percent on the whole is?
(A) 1.69%
(B) 1.74%
(C) 1.84%
(D) 1.47%
(E) 1.24%
Rationale: SP of each car is Rs. 325475, he gains 13% on first car and losses 13% on second car.
In this case, there will be loss and percentage of loss is given by
= [(profit%)(loss%)]/100
= (13)(13)/100 % = 1.69%
Answer:A
Answer: (A) 1.69%
Question: The average weight of 48 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?
(A) 51 1⁄3
(B) 52 5/8
(C) 52 1⁄8
(D) 43.42
(E) None of these
Rationale: Total weight of 48 students
= 48 × 52 = 2496 kg
Total weight of 5 students who leave
= 5 × 48 = 240 kg
Total weight of 5 students who join
= 5 × 54 = 270 kg
Therefore, new total weight of 48 students
= 2496 – 240 + 270 = 2526
⇒ New average weight = 2526⁄48 = 52 5/8 kg
Answer B
Answer: (B) 52 5/8
Question: Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 8 points more than the previous mock test. If he scored 760 on the GMAT and his average score for the mocks and the GMAT was 726.67, what was the difference in the score of his last mock and his GMAT score?
(A) 24
(B) 30
(C) 40
(D) 50
(E) 60
Rationale: One way to do this would be weighted average method..
1) let the average of 5 mocks be x...
so take it as a mix of5 quantitites of xand1 quantity of 760resulting in an average of 726.67...
By alligation/weighted average..
the difference in 760 and 726.67 is 5/6 of difference of 760 and x..
760-726.67 = 5/6 * (760-x)
760-x= 33.33*6/5=40...
so x = 720..
the last of mock test will be 720+8+8=736...
so ans = 760-736=24
A
Answer: (A) 24
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
(A) 120 cm2
(B) 187 cm2
(C) 178 cm2
(D) 189 cm2
(E) 176 cm2
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) 120 cm2
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
(A) 58
(B) 60
(C) 64 ways
(D) 68
(E) 90
Rationale: Ans.(C)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Answer: (C) 64 ways
Question: The average time of Izzy's past 3 100-meter sprints is 15 seconds. If the average falls 1 second after Izzy finishes another sprint, how many seconds did it take Izzy to run the most recent sprint?
(A) 16
(B) 11
(C) 15
(D) 14
(E) 10
Rationale: Total time to run 3 sprints = 3*15 = 45
Total time to run 4 sprints = 4*14 = 56
Time to run most recent sprint = 56-45 = 11 seconds
Answer is B
Answer: (B) 11
Question: From a Group of 10 People, Including George and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include George but not Nina
(A) 5/56
(B) 9/56
(C) 28/120
(D) 21/56
(E) 25/56
Rationale: Number of ways of selecting 3 people out of 10 people = 10C3
In the three members George will always be there in the team. At this step we have vacancy for 2 more members and 9 members are available. Lina cannot be there in the team. So 2 members have to be selected and the number of available members = 9 - Nina = 8
Number of ways to form a 3 member team that includes George and excludes Nina = 8C2
Probability = 8C2/10C3 = 28/120
Answer: C
Answer: (C) 28/120
Question: If a coin is tossed twice, what is the probability that on the first toss the coin lands heads and on the second toss the coin lands heads?
(A) 1/2
(B) 1/8
(C) 3/8
(D) 3/4
(E) 1/4
Rationale: Since there are two options for how a coin can land (heads or tails), that means there is a 1/2 chance to land on heads and a 1/2 chance to land tails. To solve this problem you multiply each probability for each flip together. (1/2) chance to land heads the first time * (1/2) chance to land heads the second time = (1/4) chance to land heads both times.
Answer: E
Answer: (E) 1/4
Question: What would be the missing number in the series: 1, 20, 266, 675,?
(A) 76
(B) 78
(C) 80
(D) 82
(E) 84
Rationale: 1,20,x,266,675
> 20-1,x-20,266-x,675-266.
>again doing the same upto
>325-3x, -143+3x.
>we get 6x-486 equate it with zero.
> 6x-486 = 0
>x = 78.
ANSWER:B
Answer: (B) 78
Question: If one of the followings is the product of the two 3-digit integers 8K7 and 6L7 (K and L denote the tens digit of the respective integers), then that product must be
(A)  478,823
(B)  511,913
(C)  531,875
(D)  538,424
(E)  569,119
Rationale: To know the unit digit you can multiply both digit number: 7 x 7 = 49
This eliminates A,B,C and D because the number must end with a 9
So the answer is E
Answer: (E)  569,119
Question: What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/7
(A) 2/15
(B) 3/5
(C) 1/6
(D) 1/7
(E) None of these
Rationale: Explanation:
2/3 = .66, 3/4 = .75, 4/5 = .8 and 5/7 = .71
So biggest is 4/5 and smallest is 2/3
Their difference is 4/5 - 2/3 = 2/15
Option A
Answer: (A) 2/15
Question: R = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set R and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?
(A)  0.15
(B)  0.20
(C)  0.25
(D)  0.30
(E)  0.33
Rationale: The total number of pairs R,B possible is 4*5=20. Out of these 20 pairs only 4 sum up to 9: (2, 7); (3, 6), (4, 5) and (5, 4). The probability thus is 4/20=0.2.
Answer: B.
Answer: (B)  0.20
Question: An article is bought for Rs.705 and sold for Rs.900, find the gain percent?
(A) 27.65%
(B) 33 1/2%
(C) 33 1/3%
(D) 33 5/3%
(E) 35 1/3%
Rationale: 705 ---- 195
100 ---- ? => 27.65%
Answer:A
Answer: (A) 27.65%
Question: Car A runs at the speed of 50 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 65 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?
(A) 3 : 7
(B) 4 : 9
(C) 20 : 13
(D) 5 : 7
(E) 6 : 11
Rationale: Car A travels 50 × 8 = 400 km
Car B travels 65 × 4 = 260 km
The ratio is 400 : 260 = 40 : 26 = 20 : 13
The answer is C.
Answer: (C) 20 : 13
Question: What is the 10th digit to the right of the decimal point in the decimal equivalent of 124/22?
(A) 2
(B) 3
(C) 4
(D) 7
(E) 6
Rationale: 124/22 = 5.6363....
63 is non-terminating repeating decimal.
The 10th digit to the right of decimal point will be 3.
Answer B
Answer: (B) 3
Question: Find a two digit number, given that the sum of the digits is 12 and the difference of the digits is 2.?
(A) 66
(B) 87
(C) 75
(D) 88
(E) 90
Rationale: Using elimination method find which of the options fit the description of the number
... from the option only 75 meets this description
sum of digits---7+5 = 12
difference of digits ---7-5 = 2
Answer C.
Answer: (C) 75
Question: The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.7. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?
(A) 1/2
(B) 2/5
(C) 3/5
(D) 4/5
(E) 12/25
Rationale: p(m) =0.2
p(r) =0.3
p(m intersection r) = 0 (If events M and R cannot both occur)
p(m or r) = 0.2+0.3 =0.5
Corrected !!
Answer A
Answer: (A) 1/2
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
(A) 360
(B) 480
(C) 720
(D) 5040
(E) 1020
Rationale: 5!*3!=720
ANSWER:C
Answer: (C) 720
Question: In how many different ways can the letters of the word 'RETAIL' be arranged such that the vowels must occupy only the odd positions?
(A) None of these
(B) 64
(C) 120
(D) 360
(E) 36
Rationale: OEOEOE
3 vowels EAI can be arranged on odd places in 3!=6 ways. Similarly 3 consonants can be arranged on even places in 3!=6 ways.
Total = 6*6 = 36.
Answer: E.
Answer: (E) 36
Question: How many digits are required to number a book containing 220 pages?
(A) 674
(B) 604
(C) 552
(D) 372
(E) 250
Rationale: 9 pages from 1 to 9 will require 9 digits.
90 pages from 10 to 99 will require 90*2=180 digits.
220-(90+9)=121 pages will require 121*3=363 digits.
The total number of digits is 9+180+363=552.
The answer is C.
Answer: (C) 552
Question: The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
(A) 40
(B) 30
(C) 25
(D) Data inadequate
(E) None of these.
Rationale: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.
Given , M + C = 60 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (60 + 20) / 2 = 40.
ANSWER:A
Answer: (A) 40
Question: Pipe A can fill a tank in 8 hours, pipe B in 4 hours and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled?
(A) 1.9 hour
(B) 2.1 hour
(C) 4.7 hour
(D) 2.4 hour
(E) 3.2 hour
Rationale: Part filled by pipe A in 1 hour =1/8
Part filled by pipe B in 1 hour =1/4
Part filled by pipe C in 1 hour =1/24
Part filled by pipes A,B,C together in 1 hour=1/8+1/4+1/24=10/24
i.e, pipes A,B,C together can fill the tank in = 24/10 hr =2.4 hour.
ANSWER:D
Answer: (D) 2.4 hour
Question: a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. a = 4b = 2c, and a > 0.
What is the difference between the two greatest possible values of x?
Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
(A) 124
(B) 297
(C) 421
(D) 412
(E) 842
Rationale: Ratio of a:b:c= 4:1:2
Two possible greatest single digit values for a are 8 and 4
if a is 8, then x= 824
if a is 4, then x= 412
difference= 824-412= 412
D is the answer
Answer: (D) 412
Question: The average age of 3 girls is 18 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
(A) 10 years
(B) 9 years
(C) 12 years
(D) 14 years
(E) 15 years
Rationale: Total age of 3 boys = 18*3 =54
ratio of their ages = 1:2:3
Age of the youngest = 54*1/6 = 9 years
Answer is B
Answer: (B) 9 years
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
(A) 50 sec
(B) 17 sec
(C) 18 sec
(D) 10 sec
(E) 14 sec
Rationale: The distance to be covered = Sum of their lengths
= 200 + 300 = 500 m.
Relative speed = 72 -36 = 36 kmph
= 36 * 5/18 = 10 mps.
Time required = d/s
= 500/10 = 50 sec.
Answer: A
Answer: (A) 50 sec
Question: Find large number from below question The difference of two numbers is 100. On dividing the larger number by the smaller, we get 9 as quotient and the 4 as remainder
(A) 120
(B) 100
(C) 112
(D) 150
(E) 105
Rationale: Let the smaller number be x. Then larger number = (x +100).
x +100 =9x + 4
8x = 96
x =12
Large number = 12+100 = 112
C
Answer: (C) 112
Question: A boatman can row 96 km downstream in 8 hr. If the speed of the current is 4 km/hr, then find in what time he will be able to cover 8 km upstream ?
(A) 3 hrs
(B) 7 hrs
(C) 9 hrs
(D) 2 hrs
(E) 6 hrs
Rationale: Explanation:
Speed in downstream = 96/8 = 12 kmph
Speed of current = 4 km/hr
Speed of the boatman in still water = 12 â€“ 4 = 8 kmph
Speed in upstream = 8 â€“ 4 = 4 kmph
Time taken to cover 8 km upstream = 8/4 = 2 hours.
Answer: D
Answer: (D) 2 hrs
Question: A sum of money placed at CI doubles itself in 5 years. It will amount to 8 times in?
(A) 17 years
(B) 19 years
(C) 14 years
(D) 16 years
(E) 15 years
Rationale: Explanation:2------>5 years4------>10years8------>15 years15 yearsAnswer: Option E
Answer: (E) 15 years
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
(A) 5:5
(B) 5:8
(C) 5:3
(D) 5:2
(E) 5:1
Rationale: Let 40% of A = 2/3 B. Then,
40A/100 = 2B/3 => 2A/5 = 2B/3
A/B = (2/3 * 5/2) = 5/3
A:B = 5:3.
Answer: C
Answer: (C) 5:3
Question: In a garden, trees are planted in 4 rows. In each row there are 4 trees. If each tree bears as many fruits as the number of trees in each row and if the total number of fruits from the trees in that garden is n, then :
(A) n is a perfect square
(B) n is an odd number
(C) n is an even number
(D) n is a perfect cube
(E) none
Rationale: There are 4 rows in the garden, so there are 4 trees in each row and each tree bears 4 fruits. Then, the total number of fruits in the garden would be (4*4)*4= 64, which is a cube of 4.
ANSWER:D
Answer: (D) n is a perfect cube
Question: A baker sold twice as much bread in the afternoon than in the morning. If he sold 360 kilograms of bread that day, how many kilograms did he sell in the morning and how many in the afternoon?
(A) 180kg
(B) 240kg
(C) 470kg
(D) 641kg
(E) 559kg
Rationale: Let x be the number of kilograms he sold in the morning.Then in the afternoon he sold 2x kilograms. So, the total is x+2x=3x.This must be equal to 360.
3x=360
x=3603
x=120
Therefore, the salesman sold 120 kg in the morning and 2⋅120=240 kg in the afternoon.
correct answer is B)240kg
Answer: (B) 240kg
Question: A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
(A) 230 m
(B) 240 m
(C) 260 m
(D) 270 m
(E) None of these
Rationale: Explanation:
Speed =[ 72 x (5/18) ]m/sec= 20 m/sec.
Time = 26 sec.
Let the length of the train be x metres.
Then,[ (x+250)/26 ]= 20
=> x + 250 = 520
=> x = 270. Answer: D
Answer: (D) 270 m
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
(A) 500
(B) 550
(C) 600
(D) 650
(E) 700
Rationale: 70 = (P*4*7/2)/100
P = 500
ANSWER A
Answer: (A) 500
Question: If you are provided that
(78)^9 = 6
And (69)^4 = 11
What will be the result of (89)^2 = ?
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
Rationale: Solution:
7 + 8 = 15 and 15 - 9 = 6
6 + 9 = 15 and 15 - 4 = 11
Therefore, (89)^2 will be:
8 + 9 = 17 and 17 - 2 = 15
Answer A
Answer: (A) 15
Question: Raghu went to a shop and bought things worth Rs. 22, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
(A) 16.7
(B) 20
(C) 22
(D) 21.4
(E) 21.5
Rationale: Total cost of the items he purchased = Rs.22
Given that out of this Rs.22, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (22−30/100−x)6/100 = 30/100
⇒ 6(22 −0.3 −x) = 30
⇒ (22 − 0.3 − x) = 5
⇒ x = 22 − 0.3 − 5 = 16.7
A
Answer: (A) 16.7
Question: Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
(A) 36
(B) 27
(C) 41
(D) 19
(E) 25
Rationale: E
25
In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.
Answer: (E) 25
Question: If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.
(A) 10 km
(B) 8 km
(C) 6 km
(D) 4 km
(E) 9 km
Rationale: Let the required distance be x km
Difference in the time taken at two speeds=1 min =1/2 hr
Hence x/5-x/6=1/5<=>6x-5x=6
x=6
Hence, the required distance is 6 km
answer:Option C
Answer: (C) 6 km
Question: The difference between the place value and the face value of 8 in the numeral 856973 is
(A) 973
(B) 6973
(C) 5994
(D) 6084
(E) None of these
Rationale: (Place value of 8) - (Face value of 8) = (800000 - 8) = 799992
Answer: Option E
Answer: (E) None of these
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
(A) 4:5
(B) 4:3
(C) 4:4
(D) 4:9
(E) 4:2
Rationale: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √16 : √9 = 4:3
Answer:B
Answer: (B) 4:3