mathewhe/aqua_rat huggingface dataset:
Question: It takes one machine 7 hours to complete a production order and another machine 3 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
(A) a) 7/12
(B) b) 1 1/2
(C) c) 1 5/7
(D) d) 3 1/2
(E) e) 2 6/11
Rationale: RT = W
Given:
R = 1/7 + 1/4 = 11/28
T = ?
W = 1
T = 1 / (11/28) = 28/11 = 2 6/11
Answer: E
Answer: (E) e) 2 6/11
Question: A train 260 m long passed a pole in 26 sec. How long will it take to pass a platform 650 m long?
(A) 91 sec
(B) 89 sec
(C) 54 sec
(D) 27 sec
(E) 22 sec
Rationale: Speed = 260/26 = 10 m/sec.
Required time = (260 + 650)/10
= 91 sec.
Answer: A
Answer: (A) 91 sec
Question: The compound ratio of 5:6, 3:2 and 4:5?
(A) 1:9
(B) 1:7
(C) 1:2
(D) 1:1
(E) 1:4
Rationale: 5/6 * 3/2 * 4/5
= 1/1
=1:1
Answer: D
Answer: (D) 1:1
Question: A batsman makes a scores of 98 runs in his 19th inning and thus increases his average by 4. What is his average after 19th inning ?
(A) 22
(B) 24
(C) 28
(D) 26
(E) 29
Rationale: Let the average score of 19 innings be x.
Then, 18x+98/19=x+4
The average score after 20th innings
= x + 4 = 22 + 4 = 26
Answer D
Answer: (D) 26
Question: 2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
(A) 400
(B) 460
(C) 800
(D) 880
(E) 900
Rationale: Let total number of boys be x and total number of girls be y. y=400=>x = 600and^= I50=>y = 200 Now, x + y = 800
C
Answer: (C) 800
Question: For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 161?
(A) 2670
(B) 2980
(C) 3550
(D) 4030
(E) 4540
Rationale: 100 + 102 + ... + 160 =
100*31 + (2+4+...+60) =
100*31 + 2*(1+2+...+30) =
100*31 + 2(30)(31)/2 =
100*31 + 30*31 = 130(31) = 4030
The answer is D.
Answer: (D) 4030
Question: Arun started a business investing Rs. 45,000. After three months. Pramod joined him with a capital of Rs.60,000. If at the end of one year, the total profit from the business is Rs.26,000, what would be Pramod's share in it?
(A) Rs.10,000
(B) Rs.14,000
(C) Rs.13,000
(D) Rs.16,000
(E) None of these
Rationale: ( arun)45000*12 : (pramod)60000*9 =>>(45*12) : (60*9) ==> (arun) 1: (pramod) 1
pramod's share is >> 26000 * 1/(1+1)=>13000
ANSWER:C
Answer: (C) Rs.13,000
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got
(A) 55%
(B) 56%
(C) 57%
(D) 58%
(E) None of these
Rationale: Explanation:
Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
Option C
Answer: (C) 57%
Question: 1^23×1^23+2^8×2^8+2×123×2^8=?
(A) 454621
(B) 123545
(C) 343566
(D) 325456
(E) 128513
Rationale: 1+256*256+246*256
128513
E
Answer: (E) 128513
Question: Marge has W candies, where W is an integer such that 20 < W< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?
(A)  0
(B)  1
(C)  2
(D)  3
(E)  4
Rationale: If Marge divides the candies equally among 5 children, she will have 2 candies remaining.
This tells us that the candies are of 5x + 2 type and so 22, 27, 32, 37, 42, or 47
If she divides the candies among 6 children, she will have 1 candy remaining.
this tells us it is if 6x+1 type and so 25, 31, 37, 43, or 49
ONLY 37 is common, so candies are 37 in number..
if 37 is divided in 7 kids, remainder W= 2
C
Answer: (C)  2
Question: If Rs.2800 yields a simple of Rs.480 in 3 Years, calculate the percentage rate?
(A) 11.6%
(B) 10%
(C) 14.6%
(D) 12.6%
(E) 13.6%
Rationale: 480 = (2400*2*R)/100
R = 10%
Answer: B
Answer: (B) 10%
Question: The sum of two consecutive number is 97. Which is the larger number?
(A) 42
(B) 49
(C) 44
(D) 45
(E) 46
Rationale: Let consecutive number be x, x+1
Therefore sum of the consecutive number is x + x+1=97
2x+1=97
2x=96
x=48
Therefore larger number is x+1=49
ANSWER:B
Answer: (B) 49
Question: The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 50,000 bacteria
(A) 10
(B) 12
(C) 14
(D) 16
(E) 18
Rationale: The question basically asks how many minutes it takes for a population to increase by factor 50(50,000 / 1,000 = 50).
Now you know that every two minutes the population doubles, i.e. is multiplied by 2. So the equation becomes:
2^x >= 50, where x represents the number of times the population doubles. A lot of people remember that 2^10 = 1,024. Hence, 2^6 = 64, i.e. the population has to double 6 times.
Since it takes the population 2 minutes to double once it takes 6*2 minutes = 12 minutes to double nine times.
Thus, solution B = 12 is correct.
Answer: (B) 12
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
(A) 10
(B) 18
(C) 20
(D) 22
(E) 24
Rationale: 2:3
2x + 10 : 3x + 10 = 3 : 4
4[2x + 10] = 3[3x + 10]
8x + 40 = 9x + 30
9x - 8x = 40 - 30
x = 10
Then smallest number is = 2
2x = 20
Short cut method:
a:b = 2:3
c:d = 3:4
1.Cross multiplication with both ratios
a * d ~ b * c = 2 * 4 ~ 3 * 3 = 8 ~ 9 = 1
2. If 10 is added both the number means 10 * 3 = 30 and 10 * 4 = 40,
Then 30 ~ 40 = 10
===> 1 -----> 10
===> 2 -----> 20
C
Answer: (C) 20
Question: Here are some words translated from an artificial language.
hapllesh means cloudburst
srenchoch means pinball
resbosrench means ninepin
Which word could mean "cloud nine"?
(A) leshsrench
(B) ochhapl
(C) haploch
(D) haplresbo
(E) ochhase
Rationale: Hapl means cloud; lesh means burst; srench means pin; och means ball; and resbo means nine. Leshsrench (choice a) doesn't contain any of the words needed for cloud nine. We know that och means ball, so that rules out choices b and c. When you combine hapl (cloud) with resbo (nine), you get the correct answer
Answer:D
Answer: (D) haplresbo
Question: N is the greatest number which divides 1305, 4665 and 6905 and gives the same remainder in each case. What is the sum of the digits in N?
(A) 23
(B) 28
(C) 4
(D) 1
(E) 25
Rationale: If the remainder is same in each case and remainder is not given, HCF of the differences of the numbers is the required greatest number
6905 - 1305 = 5600
6905 - 4665 = 2240
4665 - 1305 = 3360
Hence, the greatest number which divides 1305, 4665 and 6905 and gives the same remainder, N
= HCF of 5600, 2240, 3360
= 1120
Sum of digits in N
= Sum of digits in 1120
= 1 + 1 + 2 + 0
= 4
Answer is C
Answer: (C) 4
Question: If A,B,C,D,E,F,G,H,I,J are in an decreasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified.
A) A is replaced by J
B) A and H are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and D are removed
(A) 1) A and B
(B) 2) A and E
(C) 3) A,B,E
(D) 4) All of them
(E) 5) None of them
Rationale: Here answer will be (C).
There are 10 equidistant numbers on the number line.
Mean and median will be the average of middle two numbers.
If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers. Other changes will affect the mean and median.
Answer: C
Answer: (C) 3) A,B,E
Question: The perimeter of an isosceles right triangle is 10 + 10 sq rt 2. What is the length of the hypotenuse of the triangle?
(A) 5
(B) 6
(C) 7.07
(D) 8
(E) 9
Rationale: side of triangle is a then perimeter = a+ a +a.sqrt2 ( right angle and pythagorus) =2a +a .sqrt 2 =10 + 10 Sqrt2 or,
a. ( 2+ sqrt2) = 10(1 + sqrt2), a= 10*(1+sqrt2)/2+sqrt2 =10*2.414/3.414 =0.707*10 then hypotenuse = 7.07
C
Answer: (C) 7.07
Question: The relationship between quantities m and n is expressed by the equation 10m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?
(A) 30/11
(B) 42/11
(C) 60/11
(D) 150/11
(E) 15
Rationale: Another Simple way
10m=5(n-42)
Assume n = 42 to make one side equal to 0
then 10m=0
and m = 0
Repeat it by assuming n as 42+30 i.e 72
10m= 5(72-42)
10m=150
m=150/10
diff = 15 - 0 = 15
Answer : E
Answer: (E) 15
Question: A women walking at 5 Kmph reaches her office 8 minutes late. If she walks at 9 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
(A) 2 1/5 Km
(B) 3 Km
(C) 4 1/3 Km
(D) 5 Km
(E) 5 1/3 Km
Rationale: Formula = S1*S2/S2-S1 * T1+T2/60
= 5*9/2 * 16/60
= 45/2 * 16/60
= 3 Km
B)
Answer: (B) 3 Km
Question: On a map, 3.5 inches represent 35 miles. How many miles approximately is the distance if you measured 127 centimeters assuming that 1-inch is 2.54 centimeters?
(A) 515
(B) 500
(C) 525
(D) 530
(E) 535
Rationale: 1 inch = 2.54 cm
3.5 inch = 2.54 * 3.5 cm
8.89 cm = 35 miles
127 cms = 35/8.89*127= 500 miles
Answer : B
Answer: (B) 500
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
(A) 22 1/7 kmph
(B) 22 2/2 kmph
(C) 22 1/4 kmph
(D) 22 1/2 kmph
(E) 42 1/2 kmph
Rationale: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 1/2 kmph
Answer:D
Answer: (D) 22 1/2 kmph
Question: Tough and Tricky questions: Exponents.
If 3^m3^m2^m = 9^n, then m/n =
(A) 1/3
(B) 2/3
(C) 1
(D) 3/2
(E) 3
Rationale: I also soved it, but a bit differently. Thank you for reminding me of this much easier and logical way!
What I did was to test powers of 3 that would lead to 9.
So, we have 3 raised to the same power 3 times and 9 raised to another power one time: 3^m3^m3^m = 9^n
What I did was test 3 raised to the power of 2 like this:
3^2*3^2*3^2 = 9*9*9 = 9^3. This means that m=2 and n=3. So, m/n=2/3.B
Answer: (B) 2/3
Question: The tax on a commodity is diminished by 30% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
(A) 12%
(B) 14%
(C) 16%
(D) 20%
(E) 23%
Rationale: Explanation:
100 * 100 = 10000
70 * 110 = 7700
10000------- 2300
100 ------- ? = 23%
E)
Answer: (E) 23%
Question: If 12 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 10
II. 20
III. 30
(A) I only
(B) II only
(C) I and II only
(D) II and III only
(E) I, II, and III
Rationale: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Let x be the length of the third side.
15-12 < x < 15+12
3 < x < 27
The answer is C.
Answer: (C) I and II only
Question: Fill in the blank with the correct number in this number series: 3, 9, 8, 7, __, 5, 18, ?
(A) 6
(B) 7
(C) 9
(D) 10
(E) 13
Rationale: This is a simple alternating subtraction and addition series; The first series begins with 3 and adds 5; the second begins with 9 and subtracts 2, and so on.
Answer: E
Answer: (E) 13
Question: The larger of two negative consecutive even integers 2t and 2(t-1) is multiplied by 2 and then added to the smaller of the two original integers. Which of the following represents this operation?
(A) 6t-2
(B) 8t-2
(C) -2
(D) 3
(E) -2-4t^2
Rationale: larger of 2t-2, 2t (when they are negative) is 2t. the smallest of 2t and 2t-2 when they are positive is 2t-2.
therefore 2* 2t + 2t-2 = 6t-2.
option A.
Answer: (A) 6t-2
Question: A passenger sitting near the window in a train moving at 40 km/h, noticed that it took 3 sec. for the oncoming train to pass by. What was the speed of the oncoming train if the length of the oncoming train was 66 metres?
(A) a)39.2km/h
(B) b)52km/h
(C) c)56km/h
(D) d)60km/h
(E) e)70km/h
Rationale: im getting A
3 secs to pass a 75 mts train , therefore speed = 22 meters/sec
to convert m/s to km/hrs multiply by 3.6
22*3.6 = 79.2
so its 79.2-40 = 39.2 .
A
Answer: (A) a)39.2km/h
Question: A cistern 10 m long and 8 m wide contains water up to a depth of 1 m 50 cm. The total area of the wet surface is:
(A) 120 m2
(B) 136 m2
(C) 128 m2
(D) 130 m2
(E) 134 m2
Rationale: Area of the wet surface	= [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (8 x 1.50 + 10 x 1.50) + 8 x 10] m2
= 134 m2.
answer :E
Answer: (E) 134 m2
Question: What is the difference between local value & face value of 9 in the numeral 65793?
(A) 8453
(B) 8956
(C) 8991
(D) 9890
(E) 10000
Rationale: (Local value of 9) - (Face value of 9)
= (9000 - 9) = 8991
C
Answer: (C) 8991
Question: A man covers a certain distance Win a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance?
(A) 200 km
(B) 50 km
(C) 20 km
(D) 60 km
(E) 80 km
Rationale: Not really. When you solve the 2 equation above, you get,
6T-4/3 = 5R/6 from simplifying equation 1
4T-2=R/2 from simplifying equation 2
You can now multiply equation 2 by 5 to get
5(4T-2=R/2 ) = 20T-10=5R/2 and then subtract this new equation from equation 1 to get T=3, followed by R=20 to give you distance W= R*T=20*3=60 km.D
Answer: (D) 60 km
Question: If x and y are positive integers and x = 5y + 2, what is the remainder when x is divided by 5?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: This question asks what IS...(the answer), so we know that the answer will be consistent. As such, we can TEST VALUES to quickly get the solution.
We're told that X and Y are POSITIVE INTEGERS and X = 5Y + 2. We're asked for the REMAINDER when X is divided by 5.
IF....
Y = 1
X = 7
7/5 = 1 remainder 2
Final Answer:
C
Answer: (C) 2
Question: We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value T of the ratio A/B?
(A) 1/2
(B) 1/3
(C) 2/3
(D) 1/4
(E) 1/5
Rationale: T-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2.
Therefore, the answer is A.
Answer: (A) 1/2
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
(A) 18 2/7%
(B) 18 2/11%
(C) 12 2/12%
(D) 13 2/9%
(E) 14 2/7%
Rationale: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B
Answer: (B) 18 2/11%
Question: Bradley owns b/2 video game cartridges. If Bradleyâ€™s total is one-half the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
(A) (16/3)b
(B) (17/4)b
(C) (13/8)b
(D) (9/2)b
(E) (7/12)b
Rationale: Step 1: Categorize the problem
This problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.
Step 2: Think like the test maker
What is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlieâ€™s totals in relation to Bradleyâ€™s total rather than giving you Bradleyâ€™s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlieâ€™s values in relation to Bradleyâ€™s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.
Step 3: Solve the problem
b/2 = Bradleyâ€™s total
2*b/2 = Andrewâ€™s total
1/4*b/2 = Charlieâ€™s total
Add each total
b/2 + 2*b/2+ 1/4*b/2 = b/2 + 2*b/2 + b/8 = (13/8)b
Therefore,choose D.
Answer: (D) (9/2)b
Question: Find the value of y from (12)^3 x 6^2 ÷ 432 = y?
(A) 2134
(B) 2234
(C) 2540
(D) 2560
(E) 144
Rationale: 144
E
Answer: (E) 144
Question: On dividing a number by 56, we get 26 as remainder. On dividing the same number by 8, what will be the remainder ?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: Number=56x+26 (∵ since the number gives 26 as remainder on dividing by 56)
=(7×8×x)+(3×8)+2
Hence, if the number is divided by 8, we will get 2 as remainder.
ANSWER:A
Answer: (A) 2
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
(A) 20 Kmph
(B) 15 Kmph
(C) 30 Kmph
(D) 32 Kmph
(E) 34 Kmph
Rationale: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph
B
Answer: (B) 15 Kmph
Question: In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
(A) 3:16.
(B) 2:3.
(C) 1:3.
(D) 3:4.
(E) 2:5
Rationale: Amount for Store a = 10 * 4 = 40
Amount for Store b = 40 * 3 = 120
Ratio of Total Amount Would be = 40/120 = 1:3
ANSWER:C
Answer: (C) 1:3.
Question: Cream costs twice as much as skim milk. A certain brand of milk is 3/5 cream and 2/5 skim milk. What fraction of the cost of this brand is due to the cream?
(A) 1/2
(B) 1/3
(C) 2/3
(D) 3/4
(E) 4/5
Rationale: Let x be the cost of the skim milk in the mixture.
The cost of the cream is (3/2)*x*2 = 3x.
The total cost is x+3x = 4x and the fraction due to the cream is 3x / 4x = 3/4
The answer is D.
Answer: (D) 3/4
Question: What is the total number of integers between 20 and 80 (exclusive)that are divisible by 10?
(A) 5
(B) 7
(C) 4
(D) 9
(E) 3
Rationale: 30,40,50,60,70
total 5
Answer is A
Answer: (A) 5
Question: If the sum of the first n even positive integers is S, what is the sum of the first n positive integers, in terms of S ?
(A)  S/2
(B)  S
(C)  2S
(D)  2S + 2
(E)  4S
Rationale: Answer is A
Given sum of 2 , 4 , 6 ....2n = S
sum of 1 2 3.....n = [sum(2 4 6....2n) ]/2 = S/2
Answer: (A)  S/2
Question: Working simultaneously and independently at an identical constant rate, 5 machines of a certain type can produce a total of x units of product P in 4 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 2x units of product P in 2 days?
(A) 11
(B) 13
(C) 15
(D) 18
(E) 20
Rationale: The rate of 5 machines is rate=job/time=x/4 units per day --> the rate of 1 machine 1/5*(x/4)=x/20 units per day;
Now, again as {time}*{combined rate}={job done}
then 2*(m*x/20)=2x --> m=20.
Answer: E.
Answer: (E) 20
Question: Exactly 36% of the numbers in set E are even multiples of 3. If 40% of the even integers in set E are not multiples of 3, what percent of the numbers in set E are not even integers?
(A)  76%
(B)  60%
(C)  50%
(D)  40%
(E)  24%
Rationale: Everything is correct except the red part with a typo: it should be N=0.6E --> even numbers are 60% of E --> 40% of E are not even integers.
Answer: D.
Answer: (D)  40%
Question: In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?
(A) 16.59
(B) 16.5
(C) 16.56
(D) 13.5
(E) 16.51
Rationale: Let the quantities of A and B mixed be 3x kg and 7x kg.
Cost of 3x kg of A = 9(3x) = Rs. 27x
Cost of 7x kg of B = 15(7x) = Rs. 105x
Cost of 10x kg of the mixture = 27x + 105x = Rs. 132x
Cost of 5 kg of the mixture = 132x/10x (5) = Rs. 66
Profit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the mixture) = 25/100 * 66 = Rs. 16.50
Answer:B
Answer: (B) 16.5
Question: The average of first 7 prime numbers is?
(A) 10.11
(B) 11.11
(C) 8.29
(D) 13.11
(E) 14.11
Rationale: Sum of 7 prime no. = 58
Average = 58/7 = 8.29
ANSWER: C
Answer: (C) 8.29
Question: In how many ways, a committee of 10 members can be selected from 8 men and 6 ladies, consisting of 6 men and 4 ladies?
(A) 150
(B) 360
(C) 420
(D) 310
(E) 455
Rationale: (6 men out 8) and (4 ladies out of 6) are to be chosen
Required number of ways = 8C6*6C4 = 420
Answer is C
Answer: (C) 420
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
(A) 23
(B) 19
(C) 22
(D) 20
(E) 21
Rationale: Let the total number of workers be x. Then,
8000x = (12000 * 7) + 6000(x - 7)
= 2000x = 42000
= x = 21.
ANSWER:E
Answer: (E) 21
Question: The product of two positive integers is 1023 and their difference is 2. What is the bigger number?
(A) 29
(B) 31
(C) 33
(D) 35
(E) 37
Rationale: Let's use trial and error to find the two numbers.
32*30 = 960 (too low)
33*31 = 1023
The answer is C.
Answer: (C) 33
Question: If x, y, and z are positive integers, and 4x = 5y = 6z, then the least possible value of x + y + z is
(A) 15
(B) 28
(C) 37
(D) 42
(E) 60
Rationale: Take LCM of 4,5 and 6 = 60
Now 4x = 60 => x =15
5y = 60 => y = 12
6z = 60 => z =10
115+12+10 = 37.
Option C.
Answer: (C) 37
Question: Find out the wrong number in the given sequence of numbers.
36, 54, 18, 27, 9, 18.5, 4.5
(A) 18.8
(B) 18.5
(C) 18.0
(D) 18.1
(E) 18.7
Rationale: Explanation:
The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.
Answer: B) 18.5
Answer: (B) 18.5
Question: If “GREEN” is given number code as 49, what is the difference between the number codes of “VIOLET” and “PINK” ?
(A) 55
(B) 45
(C) 33
(D) 60
(E) 40
Rationale: Explanation:
Case – Codes : A - 1, B - 2, C - 3, D - 4, E - 5, F - 6, G - 7, H - 8, I - 9, J - 10, K - 11, L - 12, M - 13, N - 14, O - 15, P - 16, Q - 17, R - 18, S - 19, T - 20, U - 21, V - 22, W - 23, X - 24, Y - 25, Z - 26
GREEN = 7 + 18 + 5 + 5 + 14 = 49
Thus we get,
VIOLET = 22 +9 +15+12 + 5 + 20 = 83
PINK = 16 + 9 + 14 + 11 = 50
Thus, difference is 83 – 50 = 33.
ANSWER C
Answer: (C) 33
Question: The average of a set of five distinct integers is 420. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers?
(A) -4,494
(B) -3,997
(C) -3,894
(D) -3,194
(E) The answer cannot be determined from the information given
Rationale: Sum of the set = 420*5=2100 Each number is less than 2000 and median of the set is the greatest possible value.
Therefore last 3 numbers can be 1999,1998 and 1997. Their sum=5994.
Therefore sum of two smallest numbers= 2100-5994= -3894
Answer=C
Answer: (C) -3,894
Question: How long will a boy take to run round a square field of side 45 meters, if he runs at the rate of 9km/hr?
(A) 72sec
(B) 45sec
(C) 1min
(D) 32sec
(E) 25sec
Rationale: Speed = 9 km/hr = 9*5/18 = 5/2 m/sec
Distance = 45*4 = 180m
Time taken = 180*2/5 = 72sec
Answer is A
Answer: (A) 72sec
Question: A customer pays 50 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
(A) 70
(B) 80
(C) 90
(D) 50
(E) 60
Rationale: Solution
Let x be the original price.
x - 20 = 50
x - 20 + 20 = 50 + 20
x + 0 = 70
x = 70
Answer A
Answer: (A) 70
Question: How many positive integers between 1 and 100 are there such that they are multiples of 15?
(A) 5
(B) 4
(C) 7
(D) 1
(E) 6
Rationale: Multiples of 15 = 15,30,45,-----90
Number of multiples of 15 => 90-15/15+1= 6
Answer is E
Answer: (E) 6
Question: A man took some money for borrowed, for 3 years the total will be Rs.4000 and 5 years it will be Rs.5000/-. Then how much amount he borrowed?
(A) Rs.2000/-
(B) Rs.2500/-
(C) Rs.2770/-
(D) Rs.2800/-
(E) Rs.2820/-
Rationale: 3 years --------> Rs.4000/-
5 years --------> Rs.5000/-
~ ~
------------------------------
2 years ---------> Rs.1000/-
1 year ----------> Rs.500/-
3years * Rs.500/- = Rs.1500/-
P = Rs.4000/- - Rs.1500/- = Rs.2500/-
P = Rs.2500/-
B
Answer: (B) Rs.2500/-