mathewhe/aqua_rat huggingface dataset:
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
(A) 12808
(B) 12800
(C) 12805
(D) 12801
(E) 12802
Rationale: 16*8: x*4 = 5:2
x = 12.8 => Rs.12800
Answer: B
Answer: (B) 12800
Question: A woman is 20 years older than her son. In 5 years, her age will be twice the age of her son. The present age of her son is
(A) 15
(B) 14
(C) 13
(D) 12
(E) 11
Rationale: Explanation:
Let the son's present age be x years. Then, woman's present age = (x + 20) years
=> (x + 20) + 5 = 2(x + 5)
=> x + 25 = 2x +10
So, x = 15. Answer: A
Answer: (A) 15
Question: A rectangular with dimensions 40 inches by 65 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
(A) a) 4 inches
(B) b) 6 inches
(C) c) 7 inches
(D) d) 5 inches
(E) e) 10 inches
Rationale: you need to divide the width and length of the rectangular to equal pieces where L = W
you can solve this using GCF
40=2*2*2*5
65=5*13
GCF = 5
P.S you can make squares with side of 5
Answer : D
Answer: (D) d) 5 inches
Question: If x and y are positive numbers and z = xy^2, a 50 percent increase in x and a 30 percent decrease in y would result in which of the following changes in z?
(A) decrease of 7.5%
(B) decrease of 26.5%
(C) increase of 16.5%
(D) increase of 24.5%
(E) increase of 32.5%
Rationale: After the changes, z = 1.5x*(0.7y)^2 = (1.5*0.49)xy^2 = 0.735*z
The answer is B.
Answer: (B) decrease of 26.5%
Question: The greatest ratio out of 2:3, 5:8, 3:2, 8:9 and 8:3 is?
(A) 2:3
(B) 3:2
(C) 5:8
(D) 8:9
(E) 8:3
Rationale: 2/3=0.666
5/8=0.625
3/2=1.5
8/9=0.888
8/3=2.67
ANSWER:E
Answer: (E) 8:3
Question: You keep tossing a fair coin for twenty times. Each time, the coin lands up with tails up.
What is the probability that if you toss it now, the coin will land with heads up this time?
(A) 50 %
(B) 60 %
(C) 70 %
(D) 80 %
(E) 90 %
Rationale: Solution:
50%
Explanation:
The probability will be 50% only as it always was. The next flip of coin is not dependent on what the results were in the previous flips.
Answer A
Answer: (A) 50 %
Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
(A) 18 sec
(B) 77 sec
(C) 48 sec
(D) 28 sec
(E) 12 sec
Rationale: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 sec
Answer: C
Answer: (C) 48 sec
Question: The diagonals of a rhombus are 15 cm and 17 cm. Find its area?
(A) 277
(B) 127.5
(C) 150
(D) 288
(E) 212
Rationale: 1/2 * 15 * 17 = 127.5
Answer: B
Answer: (B) 127.5
Question: Two pipes P and Q can fill a tank in 10 hours and 14 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
(A) 4 hours 20 min
(B) 5 hours 49 min
(C) 3 hours 50 min
(D) 3 hours 22 min
(E) 3 hours 42 min
Rationale: Explanation:
Part filled by P in 1 hour = 1/10
Part filled by Q in 1 hour = 1/14
Part filled by (P + Q) in 1 hour = ( 1/10 + 1/14) = (6/35)
Time taken to fill the tank is (35/6) = 5 hours 49 min
ANSWER B
Answer: (B) 5 hours 49 min
Question: If you add all the numbers on your mobile phone except 8 and 2, what is the answer?
(A) 55
(B) 25
(C) 85
(D) 45
(E) 35
Rationale: We have to add 0,1,3,4,5,6,7 & 9 to find the answer.
Therefore 0+1+3+4+5+6+7+9=35
Answer is E
Answer: (E) 35
Question: Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If A is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
(A)  0<y<4
(B)  4<y<10
(C)  10<y<20
(D)  20<y<30
(E)  y>30
Rationale: A Smallest prime factor is greater than 29. So answer is E
Answer: (E)  y>30
Question: D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 700. Set D and Set E have how many numbers in common?
(A) None of these
(B) 1
(C) 3
(D) 5
(E) 12
Rationale: D is a set of multiples of 3.
700 is NOT a multiple of 3, hence none of its factors is a multiple of 3.
Therefore, those two sets won't have any overlap.
Answer: A.
Answer: (A) None of these
Question: There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?
(A) 10
(B) 20
(C) 45
(D) 60
(E) 120
Rationale: Each person is one participant of 6 games. So there are in all 6*15 = 90 instances of one participant games. But each game has 2 participants so total number of games = 90/2 = 45
C
Answer: (C) 45
Question: There are 27 different three-digit integers that can be formed using only the digits 4, 5 and 6. If all 27 of the integers were listed, what would their sum be?
(A) 14,785
(B) 14,885
(C) 14,985
(D) 15,085
(E) 15,185
Rationale: There must be nine 4's in the hundreds place, nine 4's in the tens place, and nine 4's in the units place. This is also true for the 5's and 6's. Then the sum is:
9(444+555+666)=9*(1665)=14,985.
The answer is C.
Answer: (C) 14,985
Question: A does half as much work as B in three-fourth of the time. If together they take 18 days to complete
the work, how much Ɵme shall B take to do it
(A) 40 days
(B) 35 days
(C) 30 days
(D) 25 days
(E) None of these
Rationale: Explanation:
Suppose B takes x days to do the work.
As per question A will take
2
∗
34
∗
x=3x2days
(A+B)s 1 days work= 1/18
1/x + 2/3x = 1/18 or x = 30 days
Answer: C
Answer: (C) 30 days
Question: If d is the standard deviation a, b, and c, what is the standard deviation of a +6, b + 6, c + 6 ?
(A) d
(B) 6d
(C) 6d+6
(D) 6d+12
(E) 6d+18
Rationale: CONCEPT: Standard Deviation is Defined as Average Deviation of Terms in the set from the Mean value of the set. i.e.
1) It depends on the separation between the successive terms of the set
2) If a Constant Value is Added/Subtracted in every terms of set then the Separation between successive terms does NOT change Hence S.D. remains Constant
e.g.{1, 2, 3, 4, 5} will have same standard Deviation as {1+10, 2+10, 3+10, 4+10, 5+10}
3) If a Constant Value is Multiplied in every terms then the Separation between succesive terms gets multiplied by the constant Hence S.D. remains gets multiplied by same Number
e.g. {0.7, 1.4, 2.1, 2.8, 3.5} will have Standard Deviation = 0.7* Standard deviation of set {1, 2, 3, 4, 5}
When 6 is added in each term of set {a, b,c} then the new set {a+6, b+6, c+6} will remain same as the previous standard deviation i.e. d
Answer: A
Answer: (A) d
Question: The distance between 2 cities A and B is 100km. A train starts from A at 8 a.m. and travels towards B at 50 km/hr. Another starts from B at 9 a.m. and travels towards A at 60 km/hr. At what time do they meet?
(A) 9.45a.m.
(B) 10a.m.
(C) 10.25a.m.
(D) 11.10am.
(E) 11.30a.m.
Rationale: Suppose they meet x hrs after 8 a.m.
Distance moved by first in x hrs + Distance moved by second in (x-1)hrs = 100
50x + 60 (x-1) = 100
x = 1.45
They meet at 8+1.45 = 9.45 a.m.
Answer is A
Answer: (A) 9.45a.m.
Question: A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 120 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
(A) 50
(B) 100
(C) 150
(D) 200
(E) 240
Rationale: It is simply a weighted average question. Since the given average of 50% and 60% is 55% (right in the middle), it means the number of people surveyed in Eros (n) is same as the number of people surveyed in Angie.
So n = 120
Total = 120 + 120 = 240
Answer (E)
Answer: (E) 240
Question: In how many ways the letters in the word MANAGEMENT can be arranged such that A’s does not come together.
(A) 181440
(B) 191440
(C) 171440
(D) 182440
(E) 185440
Rationale: Methods to arrange all the letters leaving A = 8*7*6*5*4*3*2*1/(2*1)*(2*1)*(2*1)= 5040
Now between these 8 letters , there are 9 places so methods to place A and A in these positions = 9*8/2*1 = 36
thus total methods are 5040*36 = 181440
ANSWER:A
Answer: (A) 181440
Question: The average of five numbers id 27. If one number is excluded, the average becomes 24. What is the excluded number?
(A) 30
(B) 40
(C) 32.5
(D) 35
(E) 39
Rationale: Explanation:
Sum of 5 numbers = 5 × 27
Sum of 4 numbers after excluding one number = 4 × 24
Excluded number
= 5 × 27 - 4 × 24
= 135 - 96 = 39
Answer: Option E
Answer: (E) 39
Question: Raviraj invested an amount of 100000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
(A) 12,310
(B) 13,2102
(C) 13,320
(D) 13,120
(E) 133100
Rationale: Amount = 100000(1 + 10⁄100)3
= 100000 × 11⁄10 × 11⁄10 × 11⁄10
= 133100
Answer E
Answer: (E) 133100
Question: The remainder of the division of a number by 66 is 27. What will be the remainder when that number is divided by 7?
Please explain
(A) 2
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: The easiest way to solve this question is by plugging in a number. Here are the steps I followed:
1) Choose a number X that when divided by 66 gives you 27 as a remainder. So I did x = 66 + 27 = 93.
2) Divide that number by 7. 93/7 = 13R2
Since the remainder is 2, the correct answer is choice A.
Answer: (A) 2
Question: From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
(A) 120
(B) 135
(C) 185
(D) 190
(E) 216
Rationale: The committee of 4 persons is to be so formed that it has at least 2 men. The different ways that we can choose to form such a committee are:
(i) 2m. 2w in 6C2 x 4 C1=6X5 - 2X1 X 3X3 2X1 =n an (ii) 3m. 1w in 6C3 x 4C1 =6X5X4 3X2X1 X4 _n - a ''''
(iii) 4m in 6C4 -2x1 = 15 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least 2 men. = 90 + 18 + 15 = 185
C
Answer: (C) 185
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
(A) Rs. 8000
(B) Rs. 9000
(C) Rs. 9800
(D) Rs. 9900
(E) Rs. 10000
Rationale: Sol. Income in first year = * x 42000 = Rs. 24000
Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (21000 + 35000)
= 66000 - S6000 = Rs. 10000
E
Answer: (E) Rs. 10000
Question: Mohan purchased 15 kgs of rice at the rate of Rs.25 per kg and 8 kgs of pulses at the rate of Rs.25 per kg. Whaat is the total amount that he paid to the shopkeeper?
(A) A)Rs.598
(B) B)Rs.575
(C) C)Rs.596
(D) D)Rs.595
(E) None of these
Rationale: Explanation:
Price of 15 kgs of rice at Rs.25/kg = 15x25 = Rs.375
Price of 8 kgs of pulses at Rs.25/kg = 8x25 = Rs.200
Therefore, Total amount = Rs.375+Rs.200 = Rs.575
Answer: Option B
Answer: (B) B)Rs.575
Question: Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ?
(A) Rs. 28,000
(B) Rs. 18,000
(C) Rs. 14,000
(D) Rs. 8,000
(E) NONE OF THESE
Rationale: Explanation:
Investments ratio is = 3:1
Time period ratio is = 2:1
As they are proportional to gain
------
Gain ratio of Vishal and raghu = 6:1
But given Raghu got Rs. 4000,
=? 1 ----- 4000
7 ----- ?
=> Rs.28,000
The total gain = Rs.28,000
ANSWER IS A
Answer: (A) Rs. 28,000
Question: 2,7,14,32,58,?
(A) 112
(B) 154
(C) 123
(D) 132
(E) 144
Rationale: 1^2+1=2
2^2+3=7
3^2+5=14
5^2+7=32
7^2+9=58
11^2+11=132
ANSWER:D
Answer: (D) 132
Question: If 30 honey bees make 30 grams of honey in 30 days, then 1 honey bee will make 1 gram of honey in how many days?
(A) 1
(B) 3.5
(C) 30
(D) 49
(E) 30
Rationale: Explanation :
Let the required number days be x.
Less honey bees, More days (Indirect Proportion)
Less honey, Less days (Direct Proportion)
Honey bees 1 : 30 :: 30 : x
Honey 30 : 1
=> 1 x 30 x x = 30 x 1 x 30
=> x =30.
Answer : C
Answer: (C) 30
Question: A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability Q 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: Rearrange the first set:
A = {5,4,3,2}
B = {4,5,6,7, 8}
As you can see numbers in each column (the numbers of the same color) give the sum of 9. So there are 4 such pares possible, total # of pairs is 4*5=20. Q=favorable/total=4/20=0.2.
Answer: B.
Or: we can select ANY number from set A (4/4=1) but in this case we must select its matching pair from set B (the number of the same color) and since there are only one matching pair of this particular number in B then the probability of this is 1/5. So, overall: Q=1*1/5.
Answer: B.
Answer: (B)  0.20
Question: In a group of 65 people,40 like cricket,10 like both cricket and tennis. How many like tennis?
(A) 30
(B) 35
(C) 40
(D) 45
(E) 50
Rationale: Make a Venn diagram, and enter your data.
Let the number of people who like only tennis be x
x + 10 + 30 = 65
x = 25
so number who like tennis = 10+25 = 35
Answer B
Answer: (B) 35
Question: 16 men and 12 children can complete work in 26 days 13 men can complete the same work in 48 days in how many days’ will12 men and 6 children complete half of the work?
(A) 12
(B) 15
(C) 13
(D) 14
(E) None of these
Rationale: Explanation:
16 men and 12 children can do work in 26 days =>in one day
16 *26=416 men and 12*26=312 children can do same work
also, 13 men can do same work in 48 days =>13 *48=624 men
thus 624 men = 412 men + 312 children
=> 2mne = 3 children
24 men can do a work in 26 days
16 men can do same work in =26*24/16 = 39 days
Answer: Option D
Answer: (D) 14
Question: A man can row with a speed of 19 kmph in still water. If the stream flows at 8 kmph, then the speed in downstream is?
(A) 28
(B) 26
(C) 20
(D) 27
(E) 24
Rationale: M = 19
S = 8
DS = 19 + 8
=27
Answer: D
Answer: (D) 27
Question: A 60 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
(A) A)73
(B) B)20
(C) C)83
(D) D)17.1
(E) E)52
Rationale: Explanation:
1: 2/5 = 5: 2
2/7 * 60 = 20
Answer: Option D
Answer: (D) D)17.1
Question: The number of arrangements that can be made with the letters of the word MEAD so that the vowels occupy the even places?
(A) 6
(B) 5
(C) 4
(D) 10
(E) 21
Rationale: The word MEADOWS has 7 letters of which 3 are vowels.
-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 2 even places in 2! i.e., 2 ways. While the consonants can be arranged among themselves in the remaining 2 places in 2! i.e., 2 ways.
Hence the total ways are 2 * 2 = 4.
Answer:C
Answer: (C) 4
Question: The interest on Rs.750 for 2yrs is the same as the True Discount on Rs.960 due 2yrs hence . If the rate of interest is same in both cases,it is:
(A) 12%
(B) 14%
(C) 15%
(D) 16%
(E) 26%
Rationale: Explanation:
S.I on Rs.750= T.D on Rs. 960
This means P.W of Rs. 960 due 2 years hence is Rs.750
Therefore , T.D= Rs. (960 - 750) = Rs. 210
Thus, S.I on Rs. 750 for 2 years is Rs. 210
∴Rate=[100×210/750×2]% = 14%
Answer: B
Answer: (B) 14%
Question: What is the SI on Rs.8000 from August 6th to Dec 30th at 5% per annum rate of interest?
(A) Rs 100
(B) Rs 120
(C) Rs 140
(D) Rs 160
(E) Rs 200
Rationale: Number of days from August 6th to December 30th = 146 days ( we don’t count the given day)
Simple Interest=
PTR
100
= 8000 x
146
365
x
5
100
= Rs 160
D
Answer: (D) Rs 160
Question: Replace the ? by the correct Mathematics symbol to make the expression true
10 ? 10 ? 4 ? 7 = 18
(A) 10 ÷ 10 x 4 - 7 = 18
(B) 10 x 10 ÷ 4 - 7 = 18
(C) 10 + 10 ÷ 4 + 7 = 18
(D) 10 x 10 + 4 - 7 = 18
(E) 10 x 10 ÷ 4 + 7 = 18
Rationale: Answer : B
Answer: (B) 10 x 10 ÷ 4 - 7 = 18
Question: Tanks M and B are each in the shape of a right circular cylinder. The interior of tank M has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank M is what percent of the capacity of tank B?
(A) 75%
(B) 80%
(C) 100%
(D) 120%
(E) 125%
Rationale: B.
For M, r=8/2pi. Its capacity = (4pi)^2 * 10= 160pi
For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi
M/B = 160pi/200pi = 0.8
Answer: (B) 80%
Question: Lloyd normally works 7.5 hours per day and earns $3.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?
(A) $33.75
(B) $42.00
(C) $51.75
(D) $54.00
(E) $70.00
Rationale: Daily working hour*Regular Rate + Overtime*Increased Rate
7.5*3.5+ 3*3.5*1.5=42
Answer B
Answer: (B) $42.00
Question: To create paint with a certain shade of gray, one must combine 1.5 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
(A) 273.6
(B) 233.3
(C) 347.1
(D) 694.4
(E) 705.6
Rationale: Since the ratio of Black to White is 1.5 to 1 this implies that Amount of Black is going to be more than (approximately double) the amount of White. This implies Option C, D and E can not be correct.
Now between A and B:
Black:White = 1.5:1 Since the ratio is more than double, the amount of White Paint should be less than half of Black Paint. A is more than half so can not be the answer, B fits the criteria hence should be the correct answer. No calculation needed whatsoever.
Answer: (B) 233.3
Question: Find the simple interest on Rs.300 for 9 months at 6 paisa per month?
(A) 142
(B) 152
(C) 162
(D) 172
(E) 182
Rationale: I = (300*9*6)/100 = 162
ANSWER:C
Answer: (C) 162
Question: In one can of mixed nuts, 25% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
(A) 16 2/3%
(B) 30%
(C) 25%
(D) 33 1/3%
(E) 35%
Rationale: Can 1: size 1; 25% nuts
Can 2: size 0.5 and 40% nuts
(1x0.25+0.5x0.4)/1.5=30
B
Answer: (B) 30%
Question: The median annual household income in a certain community of 21 households is $50,000. If the mean R income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?
(A)  $50,000
(B)  $60,000
(C)  $60,500
(D)  $65,000
(E)  Cannot be determined
Rationale: Answer is E, because there are different numbers in the set and we are not sure which side of the numbers in the set will be increased so the mean R is increase by 10%. It could be the case that small number of higher end incomes increased a little or many low end incomes increased - it cannot be identified.
Answer: (E)  Cannot be determined
Question: Find the length of the wire required to go 15 times round a square field containing 69696 m2.
(A) 15840
(B) 15848
(C) 15828
(D) 27892
(E) 22892
Rationale: a2 = 69696 => a = 264
4a = 1056
1056 * 15 = 15840
Answer:A
Answer: (A) 15840
Question: In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.04 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
(A) 1-0.04^10
(B) 1-0.96^10
(C) (1-0.96)^10
(D) 0.06
(E) 1-10*0.06
Rationale: ans B.
Prob that light will not turned off = 0.96^10. Hence prob (turn off) = 1 - prob (not turn off).
Answer: (B) 1-0.96^10
Question: A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
(A) 4
(B) 5
(C) 6
(D) 9
(E) 8
Rationale: Sol.
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
= [66 * 5/18] m/sec = [55/3] m/sec.
∴ Time taken to pass the man = [110 * 3/55] sec = 6 sec.
Answer C
Answer: (C) 6
Question: Number of prime numbers between 40 and 70 is
(A) 4
(B) 5
(C) 6
(D) 7
(E) 9
Rationale: total 7=41, 43, 47, 53, 59, 61, 67
ANSWER:D
Answer: (D) 7
Question: The average (arithmetic mean) monthly income of four workers is $5,000. After one worker’s income increases by 25 percent the new average income is $5,200. What was the original income of the worker whose monthly income increased?
(A) $3,300
(B) $3,600
(C) $3,800
(D) $4,200
(E) $3,200
Rationale: Increase in total income was 200*4=$800, we know that this increase was 25% (1/4th) of the workers original income, thus his/her original income was 800*4=$3,200.
Answer:E
Answer: (E) $3,200
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
(A) 22
(B) 77
(C) 22
(D) 64
(E) 28
Rationale: r = 3 πr2 = 9
r = 5 πr2 = 25
25 π – 16 π
100 ---- ? => 64%.Answer:D
Answer: (D) 64
Question: The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 28%, then the value of X is ?
(A) 25
(B) 13.8
(C) 16
(D) 15
(E) 14
Rationale: let S.P. of X books = Rs 100 = C.P. of 20 books
Therefore, C.P. of one book = Rs 5.6
Profit = 28 %
Therefore, S.P of one book = 7.2
S.P of X articles = 7.2 X
7.2 X = 100 => X = 13.8
ANSWER:B
Answer: (B) 13.8
Question: During a trip, Francine traveled x percent of the total distance at an average speed of 30 miles per hour and the rest of the distance at an average speed of 70 miles per hour. In terms of x, what was Francineâ€™s average speed for the entire trip?
(A) (180-x)/2
(B) (x+60)/4
(C) 21,000/(300+4x)
(D) 600/(115-x)
(E) 12,000/(x+200)
Rationale: E....
X% traveeled at 30 mph
100-X% traveeled at 70 mph
total timt taken = x/30 +(100-x)/70 = (300+4x)/210
Total distance = x+(100-x) = 100
Av speed = Tot Dis/Time Taken which is C
Answer: (C) 21,000/(300+4x)
Question: A pipe can fill a cistern in 66 minutes. Find the time in which 1/11 part of the cistern will be filled?
(A) 5min
(B) 2min
(C) 6min
(D) 1min
(E) 10min
Rationale: Full cistern filled in = 66 minutes
1/11 part filled in = 66*1/11 = 6minutes
Answer is C
Answer: (C) 6min
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
(A) 3337
(B) 2782
(C) 2788
(D) 4266
(E) 2321
Rationale: CI = 14800{ [ 1 + 13.5/100]2 - 1 }
= 14800 { [1 + 27/200]2 - 1
= 14800 { 2 + 27/200}{27/200}
= (74)[2 + 27/200](27) =
1998[2 + 27/200] = 3996 + 269.73 = Rs. 4266
Answer:D
Answer: (D) 4266
Question: A woman saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction
(A) 10%
(B) 12%
(C) 5%
(D) 15%
(E) 9%
Rationale: Price = 25+2.50 = 27.50
savings 2.5
percentage = 2.5/27.5*100
==> 9 %
ANSWER E
Answer: (E) 9%
Question: Two pipes can fill a tank in 10 minutes and 25 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
(A) 30 minutes
(B) 17 minutes
(C) 7 minutes
(D) 10 minutes
(E) 12 minutes
Rationale: Part of the filled by all the three pipes in one minute
= 1/10 + 1/25 - 1/45 = (45 + 18 - 10)/450 = 53/450
So, the tank becomes full in 7 minutes.
Answer: C
Answer: (C) 7 minutes
Question: Working together, 7 identical pumps can empty a pool in 5 hours. How many hours will it take 4 pumps to empty the same pool?
(A) 4 2/3
(B) 9 1/4
(C) 9 1/3
(D) 8 3/4
(E) 10 1/2
Rationale: The answer is D
7 pumps take 5 hours. 1 Pump will take 5*7 hours . Hence 4 pumps will take (5*7)/4 = 8 75/100 = 8 3/4 hours
Answer: (D) 8 3/4