mathewhe/aqua_rat huggingface dataset:
Question: In an examination, 5% of the applicants were found ineligible and 85% of the eligible candidates belonged to the general category. If 4275 eligible candidates belonged to other categories, then how many candidates applied for the examination?
(A) 28000
(B) 30000
(C) 32000
(D) 33000
(E) 35000
Rationale: 85% of the eligible candidate hence remaining 15% eligible candidate
= 4275
eligible candidates = 4275*100/15=28500
5% of the applicants were ineligible
95% of applicants = 28500
no of applicants = 28500*100/95 = 30000
ANSWER B
Answer: (B) 30000
Question: A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
(A) 26 litres
(B) 29.16 litres
(C) 28 litres
(D) 28.2 litres
(E) 30 litres
Rationale: Explanation:
Suppose a container contains xx units of a liquid from which yy units are taken out and replaced by water. After nn operations, quantity of pure liquid =x(1âˆ’yx)n units
milk contained by the container now
=40(1âˆ’440)3=40(1âˆ’110)3=40Ã—9/10Ã—9/10Ã—9/10
=4Ã—9Ã—9Ã—9 / 100
=29.16
ANSWER IS B
Answer: (B) 29.16 litres
Question: How many numbers from 2 to 7 are exactly divisible by 2?
(A) 2
(B) 3
(C) 5
(D) 7
(E) 8
Rationale: 2/2 = 1 and 7/2 = 3
3 - 1 = 2
2 + 1 = 3 Numbers.
B)
Answer: (B) 3
Question: A software has coding line 5% more than B, B software has coding line 4/12 more than C. C software has 90 lines of coding. find A lines.
(A) 106
(B) 107
(C) 108
(D) 126
(E) 110
Rationale: C s/w has 90 line of code
B s/w has = 90+90*4/12= 120 line of code
A s/w 5% more B' code 120+6=126
ANSWER:D
Answer: (D) 126
Question: If a 3 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
(A) 40%
(B) 100%
(C) 150%
(D) 200%
(E) 300%
Rationale: The area A of the large cube is 3*3*6 = 54 square cm.
The area of the 27 small cubes is 27*6 = 54*3 = 3A, an increase of 200%.
The answer is D.
Answer: (D) 200%
Question: Cereal A is 11% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
(A) 2:5
(B) 1:3
(C) 2:7
(D) 3:4
(E) 1:5
Rationale: 2% is 2%-points below 4% and 11% is 7%-points above 4%.
The ratio of A:B should be 2:7.
The answer is C.
Answer: (C) 2:7
Question: In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a five. You pick a card from a full playing-card deck, and success would be picking a spades card. If any of these task are successful, then you win the game. What is the probability of winning?
(A) 1/48
(B) 5/16
(C) 11/12
(D) 11/16
(E) 22/32
Rationale: First lets get the overview
Event 1(A) = Flipping the quarter( Probability of both winning/loosing = 1/2)
Event 2(B) = Rolling a dice( Probability of winning = 1/6 ;Probability of loosing= 1 - 1\6 =5\6)
Event 3(C) = Drawing a card( SPADES) Probability of winning = 13/52=3/4 ;Probability of loosing= 1 - 3/4 =1/4)
So now as above we have three events A,BC.
1st method(This is lengthy method)
Possible cases in which it's a win( the highlighted green event is a win and red is loose.
1.ABC= 1/2*5/6*3/4
OR
2.ABC= 1/2*1/6*3/4
OR
3.ABC= 1/2*5/6*1/4
OR
4.ABC= 1/2*1/6*3/4
OR
5.ABC= 1/2*5/6*1/4
OR
6.ABC= 1/2*5/6*1/4
OR
7.ABC= 1/2*1/6*1/4
As we now OR means add
Adding up all of them we'll get the probability of winning ie 22/32
Answer : E
Answer: (E) 22/32
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 25 years and the average age of the last three persons is 36 years, then find the age of the person sitting in the middle of the row?
(A) 9 years
(B) 29 years
(C) 18 years
(D) 13 years
(E) 17 years
Rationale: Total age seven persons = (28 * 7)years
Total age of the first three persons and the last three persons are (25 * 3) years and (36 * 3) years respectively.
Age of the person sitting in the middle of the row = 28 * 7 - 25 * 3 - 36 * 3 = 196 - 75 - 108 = 13 years.
ANSWER:D
Answer: (D) 13 years
Question: On dividing 13787 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
(A) 743
(B) 155
(C) 852
(D) 741
(E) 785
Rationale: Divisor *quotient+remainder=dividend
divisor=(dividend)-(remainder)/quotient
(13787-14)/89=155
Answer(B)
Answer: (B) 155
Question: There are some balloons in party, 1/3rd blasted by kids . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 20 were remaining . How many balloons were in total ?
(A) 150
(B) 27
(C) 28
(D) 26
(E) 91
Rationale: Sol:
45
If x persons were there in total , then
x × (1 – 1/3)× (1 – 2/5) ×(1 – 2/3) = 20
x×2/3 × 3/5 × 1/3 = 20
x = 150
Answer:A
Answer: (A) 150
Question: Find the compound interest on Rs. 16,000 at 20% per annum for 9 months, compounded quarterly
(A) 3378
(B) 2522
(C) 2778
(D) 2567
(E) 1781
Rationale: Explanation:
Principal = Rs. 16000; Time = 9 months =3 quarters;
Rate = 20% per annum = 5% per quarter.
Amount = Rs. [16000 x (1+(5/100))3] = Rs. 18522.
CJ. = Rs. (18522 - 16000) = Rs. 2522
Answer: B) 2522
Answer: (B) 2522
Question: On a map, 7 centimeters represents 35 kilometers. Two cities 245 kilometers apart would be separated on the map by how many centimeters?
(A) 15
(B) 37
(C) 49
(D) 110
(E) 180
Rationale: 1 centimeter represents 5 kilometers ( 35/7 )
X=245/5= 49
Answer: C
Answer: (C) 49
Question: There are 60 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 14 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US?
(A) 20
(B) 37
(C) 42
(D) 53
(E) 64
Rationale: x + (x - 14) = 60 --> x = 37.
Answer: B.
Answer: (B) 37
Question: x varies inversely as square of y. Given that y=3 for x=1. The value of x for y = 5 will be equal to:
(A) 3
(B) 6
(C) 1/9
(D) 1/3
(E) 9/25
Rationale: Explanation :
Solution: Given x = k/y^2, where k is constant. Now, y=3 and x =1 gives k = 9.
.'. x = 9/y^2
=> x =9 /5^2 = 9/25
Answer : E
Answer: (E) 9/25
Question: If k is a positive integer, which of the following must be divisible by 25?
(A)  (k – 4)(k)(k + 3)(k + 7)
(B)  (k – 4)(k – 2)(k + 3)(k + 5)
(C)  (k – 2)(k + 3)(k + 5)(k + 6)
(D)  (k + 1)(k + 3)(k + 5)(k + 7)
(E)  (k – 3)(k + 1)(k + 4)(k + 6)
Rationale: 24=8*3.
Note that the product of two consecutive even integers is always divisible by 8 (since one of them is divisible by 4 and another by 2). Only option B offers two consecutive even numbers for any integer value of k: k-4 and k-2, if k=even or k+3 and k+5 if k=odd.
Also from the following 3 consecutive integers:(k-4), (k-3),(k-2)one must be divisible by 3, if it's not k-4 or k-2 then it must be k-3 (if it's k-4 or k-2 option B is divisible by 3 right away). But if it's k-3 then (k-3)+6=k+3must also be divisible by 3.
So, option B: (k – 4)(k – 2)(k + 3)(k + 5) is divisible by 8 and 3 in any case.
Answer: C.
Answer: (C)  (k – 2)(k + 3)(k + 5)(k + 6)
Question: If PINTU is coded as 79523 in a certain code language, how would you code MUMBO in the same language?
(A) 43426
(B) 14236
(C) 13436
(D) 14263
(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...MUMBO is 43426...
ANSWER:A
Answer: (A) 43426
Question: Amy has two decks of 52 cards each: Deck 1 and Deck 2. She takes 7 black cards from Deck 2 and adds them to Deck 1 and shuffles it thoroughly. She now picks a card from the newly formed pack of cards. If the probability of either picking a red ace or a king from the newly formed pack is greater than 1/8, what is the probability that Amy picks a black king or a red Jack from the new pack?
(A) 1/6
(B) 1/8
(C) 1/9
(D) 1/10
(E) 1/12
Rationale: Your solution is correct answer should be 1/8.
B
Answer: (B) 1/8
Question: A, B and C can do a work in 5 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
(A) 2 22/49
(B) 2 2/49
(C) 2 2/0
(D) 2 2/2
(E) 2 2/19
Rationale: Work done by all three of them in one day = 1/5 + 1/8 + 1/12 = 49/120.
The number of days required = 120/49 = 2 22/49 days.
Answer:A
Answer: (A) 2 22/49
Question: Exactly 36% of the numbers in set W are even multiples of 3. If 40% of the even integers in set W are not multiples of 3, what percent of the numbers in set W 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=0.6W --> even numbers are 60% of W --> 40% of W are not even integers.
Answer: D.
Answer: (D)  40%
Question: When a train travels at a speed of 110kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
(A) 12.5km
(B) 50km
(C) 60km
(D) 8.5km
(E) 9.5km
Rationale: Let x be the time reached with the speed 110km/h
50km/h ----> x+15
Distance is equal so
110(km/h)× xhr = 50(km/h) × (x+15) hr
So
110 x = 50x + 750
So the would be in km
And x = 12.5
ANSWER:A
Answer: (A) 12.5km
Question: Paul sells encyclopedias door-to-door. He earns $170 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earndouble commission.That is, if his sales are $12,000, he earns 10% on the first $10,000 and 5% on the remaining $2,000.
His largest paycheck of the year was $1,320. What were his sales for that pay period?
(A) 13,000
(B) 14,800
(C) 16,400
(D) 15,800
(E) 19,600
Rationale: His pay check was $1320.
Out of this, $170 was his fixed salary so the total commission he earned was $1320 - $170 = $1150
He earns 10% on the sales of first $10,000 which gives a commission of $1000.
He earns 5% on every subsequent dollar. Since he earns another $150, he must have had sales of another 150*(100/5) = 3000
So his total sales must have been $10,000 + $3000 = $13,000
A
Answer: (A) 13,000
Question: John purchased 8kg of apples at the rate of 70 per kg and 9 kg of banana at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
(A) 950
(B) 1000
(C) 1055
(D) 1060
(E) 1080
Rationale: Cost of 8 kg apples= 70 × 8 = 560.
Cost of 9 kg of bananas= 55 × 9 = 490.
Total cost he has to pay = 560 + 490 = 1055.
C)
Answer: (C) 1055
Question: Find the average of all the numbers between 6 and 38 which are divisible by 4.
(A) 18
(B) 22
(C) 20
(D) 30
(E) 28
Rationale: Solution
Average	= ((8+12+16+20+24+28+32+36)/8)
= 186 / 7
= 22
Answer B
Answer: (B) 22
Question: If x and y are integers, and 4y+3x=23, which of the following could be the value of y ?
(A) 0
(B) 1
(C) 4
(D) 3
(E) 2
Rationale: Use answer options to solve this problem -
Put y = 2
So, 4y+3x=23
Or, 4(2)+3x=23
Or, 3x=23-8;3x=15
Or, x = 5
Answer will be (E)
Answer: (E) 2
Question: A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
(A) 6.3
(B) 6.9
(C) 6.4
(D) 6.1
(E) 6.2
Rationale: 1 day work of the three persons = (1/15 + 1/20 + 1/25) = 47/300
So, all three together will complete the work in 300/47 = 6.4 days.
Answer:C
Answer: (C) 6.4
Question: There are 2 scales of temp A & B. It was given A 14 to 133, B 36 to 87. Find the temp when temp of A is equal to temp of B
(A) 52.5
(B) 53.5
(C) 51.5
(D) 54.5
(E) 55.5
Rationale: Actually, when corresponding ranges of two scales of temperatures are given, then, the formula to relate the two scales are given by, (A-l1)/(u1-l1) = (B-l2)/(u2-l2), where l1 and u1 are lower and upper limits of scale A; and l2 and u2 are lower and upper limits of scale B; and when it is l1 in scale A, it is l2 in scale B; and when it is u1 in scale A, it is u2 in scale B. Here, l1=14, u1=133, l2=36, u2=87. Substituting, we get (A-14)/(133-14)=(B-36)/(87-36). Or, 3(A-14)=7(B-36). When temperature readings are equal, i.e., A=B=x, 3(x-14)=7(x-36), 4x=210, x=52.5
ANSWER:A
Answer: (A) 52.5
Question: A class of students ate a total of 457 mints. If each student in the class ate at least 12 mints, then what is the greatest possible number of students in the class?
(A) 36
(B) 38
(C) 40
(D) 42
(E) 44
Rationale: 457/12=38 plus remainder.
The answer is B.
Answer: (B) 38
Question: Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
(A) 309
(B) 508
(C) 389
(D) 378
(E) 500
Rationale: Explanation:
Let the C.P. be Rs. x. Then, 20% of x = 1100
20/100 * x = 1100 => x = 5500
C.P. = Rs. 5500, expenditure on repairs = 10%
Actual price = Rs. (100 * 5500)/110 = Rs. 5000
Expenditures on repairs = (5500 - 5000) = Rs. 500.
Answer:E
Answer: (E) 500
Question: In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony?
(A) 1:7
(B) 1:1
(C) 1:2
(D) 1:9
(E) 1:3
Rationale: Number of men in the colony = 4/7 (70) = 40
Number of women in the colony = 3/7 (70) = 30
Number of educated women in the colony = 1/5 (30) = 6
Number of uneducated women in the colony = 4/5 (30) = 24
Number of educated persons in the colony = 8/35 (70) = 16
As 6 females are educated, remaining 10 educated persons must be men.
Number of uneducated men in the colony = 40 - 10 = 30
Number of educated men and uneducated men are in the ratio 10:30 => 1:3
Answer:E
Answer: (E) 1:3
Question: Evaluate: 60 - 12÷4×2 =
(A) A)45
(B) B)54
(C) C)63
(D) D)72
(E) E)81
Rationale: According to order of operations, 12÷4×2 (division and multiplication) is done first from left to right
12÷4×2 = 3 × 2 = 6
Hence
60 - 12÷4×2 = 60 - 6 = 54
correct answer is B) 54
Answer: (B) B)54
Question: Bradley owns b video game cartridges. If Bradley’s total is one-fourth the total owned by James and six 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) (31/6)b
(C) (13/6)b
(D) (19/12)b
(E) (7/12)b
Rationale: b = Bradley’s total
4b = James’s total
(1/6)b = Charlie’s total
Add each total
b + 4b+ (1/6)b = 5b + (1/6)b = = (31/6)b
Answer : B
Answer: (B) (31/6)b
Question: Jerry 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) 29 Kmph
(B) 15 Kmph
(C) 23 Kmph
(D) 22 Kmph
(E) 19 Kmph
Rationale: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distance 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: What number comes next in this sequence?
1, 3, 11, 47, ?
(A) 153
(B) 364
(C) 239
(D) 266
(E) 484
Rationale: C
239
1 Ã— 2 + 1 = 3;
3 Ã— 3 + 2= 11;
11 Ã— 4 + 3 = 47;
47 Ã— 5 + 4 = 239;
Answer: (C) 239
Question: There are two decks of 10 cards each. The cards in each deck are labeled with integers from 11 to 20 inclusive. If we pick a card from each deck at random, what is the probability that the product of the numbers on the picked cards is a multiple of 5?
(A) 0.23
(B) 0.36
(C) 0.4
(D) 0.42
(E) 0.46
Rationale: If 6 is a multiple, we need 2 and 3 as a factor of the number. If we factor the numbers 11 through 20 we have:
11 = 11
12 = 2*2*3
13 = 13
14 = 7*2
15 = 5*3
16 = 2*2*2
17 = 17
18 = 3*2*3
19 = 19
20 = 5*2*2
Combos that have a 2 and a 3 as factors (first + second card):
12 + anything - 19 of these possibilities (we count 12 + 12 only once)
14 + 15 - 2 of these possibilities
15 + 16 - 2 of these possibilities
15 + 20 - 2 of these possibilities
18 + anything (except 12, since that is counted in our first option) - 17 of these possibilities
Total possibilities that will be a multiple of 6: 42
Total possibilites: 10*10=100
Probability = 42/100 = 0.36
Answer:B
Answer: (B) 0.36
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
(A) 156
(B) 245
(C) 288
(D) 265
(E) 271
Rationale: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time
= 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X)
= 750 ==> X
= 245 m.
Answer: C
Answer: (C) 288
Question: Ayesha's father was 35 years of age when she was born while her mother was 31 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
(A) 2 years
(B) 4 years
(C) 6 years
(D) 8 years
(E) 9 years
Rationale: Mother's age when Ayesha's brother was born = 31 years.
Father's age when Ayesha's brother was born = (35 + 4) years = 39 years.
Required difference = (39 - 31) years = 8 years. Answer: Option D
Answer: (D) 8 years
Question: In a certain village, 150 litres of water are required per household per month. At this rate, if there are 10 households in the village, how long (in months) will 6000 litres of water last?
(A) 8
(B) 10
(C) 6
(D) 2
(E) 4
Rationale: I find it much easier to understand with real numbers, so choose (almost) any numbers to replace m,n and p:
In a certain village,m 150 litres of water are required per household per month. At this rate, if there aren 10 households in the village, how long (in months) willp2000litres of water last?
Water required is 150*10=1500 (m*n)
Water available is 6000 (p)
It will last 4 months (p/m*n)
Ans :E
Answer: (E) 4
Question: Three persons are walking from a place A to another place B. Their speeds are in the ratio of 4 : 3 : 5. The time ratio to reach B by these
persons will be :
(A) 4 : 3 : 5
(B) 15 : 20 : 12
(C) 5 : 3 : 4
(D) 20: 15 : 12
(E) None
Rationale: Sol.
Ratio of speeds = 4 : 3 : 5
∴ Ratio of times taken = 1/4 : 1/3 : 1/5 = 15 : 20 : 12
Answer B
Answer: (B) 15 : 20 : 12
Question: In how many different ways can the letters of the word 'BANKING' be arranged so that the vowels always come together ?
(A) 740
(B) 720
(C) 800
(D) 550
(E) 690
Rationale: In the word 'BANKING', we treat the two vowels AI as one letter. Thus,we have BNKNG (AI)
This has 6 letters of which N occurs 2 times and the rest are different.
Number of ways of arranging these letters= 6!/(2!)(1!)(1!)(1!)(1!)=360.
Now 2 vowels AI can be arranged in 2!=2 ways.
Required number of ways =(360*2)=720.
Answer is B
Answer: (B) 720
Question: What is the units digit of the expression 14^7−17^4?
(A)  0
(B)  3
(C)  4
(D)  8
(E)  6
Rationale: I think answer on this one should be D too. Since we know that 14^7>17^4, as Will said one should always check if the number is positive.
Answer: (D)  8
Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 70 minutes. When both pipes are opened, find when the cistern will be full?
(A) 17 minutes
(B) 87 minutes
(C) 70 minutes
(D) 28 minutes
(E) 11 minutes
Rationale: 1/20 - 1/70 = 1/28
28 minutes
Answer:D
Answer: (D) 28 minutes
Question: Convert 700 miles into meters?
(A) 784596
(B) 1126538
(C) 804670
(D) 784596
(E) 864520
Rationale: 1 mile = 1609.34 meters
700mile = 700*1609.34 = 1126538 meters
Answer is B
Answer: (B) 1126538
Question: If point A coordinates are (-5, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
(A) (-2, - 2/3)
(B) (2, -2/3)
(C) (2/3, -2)
(D) (0, 2)
(E) (2, 2/3)
Rationale: Look at the diagram below:
Line segment.pngSince, AC= 1/2 CB, then AC = 1/3 AB. This implies that point C is closer to A than to B, which on the other hand implies that the x-coordinate of C must be less than (-5+8)/2=0.5. Only D and A fits, but as (0 , 2) is clearly not on line segment AB, then the answer must be E.
Answer: E.
Answer: (E) (2, 2/3)
Question: If it is 8:27 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)
(A) 8:22
(B) 8:24
(C) 8:27
(D) 8:31
(E) 8:30
Rationale: 8:27minus 2,880,717in any way must end with 0, the only answer choice which ends with 0 is E.
Answer: E.
Answer: (E) 8:30
Question: A train running at the speed of 60 km/hr crosses a pole in 7 seconds. Find the length of the train.
(A) 116.67
(B) 882
(C) 772
(D) 252
(E) 121
Rationale: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 7 = 116.67 meter.Answer: A
Answer: (A) 116.67
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
(A) 8 min
(B) 24 min
(C) 12 min
(D) 6 min
(E) 4 min
Rationale: Explanation:
S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
E)
Answer: (E) 4 min
Question: The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
(A) 125
(B) 66
(C) 77
(D) 16
(E) 188
Rationale: Sum of the 35 numbers = 35 * 25 = 875
If each number is multiplied by 5, the sum also gets multiplied by 5 and the average also gets multiplied by 5.
Thus, the new average = 25 * 5 = 125.
Answer: A
Answer: (A) 125
Question: An employer has 4 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
(A) a) 1,490
(B) b) 132
(C) c) 120
(D) d) 60
(E) e) 23
Rationale: 4C3 * 4C2 = 24. Answer C.
Answer: (C) c) 120
Question: A clock is set right at 12 noon on Monday. It losses 1/2% on the correct time in the first week but gains 1/4 on the true time during the second week. The time shown on Monday after two weeks will be
(A) 12:25:12
(B) 11:34:48
(C) 12:50:24
(D) 12:24:16
(E) None of these
Rationale: Solution: Time lost over two weeks = 25% a week time(given that 1/2% clock loses in first week and in the second week it gains 1/4% on true time)
A week = 168 hours
Hence, clock lost = 0.42 hours = 25.2 minutes or 25 minute 12 seconds.
Thus, correct time = 12:25:12.
Answer: Option A
Answer: (A) 12:25:12
Question: Two employees Y and Z are paid a total of Rs. 550 per week by their employer. If Y is paid 120 percent of the sum paid to Z, how much is Z paid per week?
(A) A)Rs.200
(B) B)Rs.220
(C) C)Rs.250
(D) D)Rs.300
(E) E)Rs.350
Rationale: Let the amount paid to Y per week = y
and the amount paid to Z per week = z
Then x + y = 550
But y = 120% of z = 120z/100 = 12z/10
∴12z/10 + z = 550
⇒ z[12/10 + 1] = 550
⇒ 22z/10 = 550
⇒ 22z = 5500
⇒ z = 5500/22 = 500/2 = Rs.250
C
Answer: (C) C)Rs.250
Question: Townville has 100 residents, and 20 of them are females. If half of Townville’s male residents are smokers, and 1/4 of the female residents are smokers, which of the following represents the total number of Townville’s residents who are NOT smokers?
(A) 50
(B) 60
(C) 55
(D) 65
(E) 70
Rationale: Number of people =100
Females = 20
men = 100-20=80
Half of the men are smoker80/2=40, that means the remaining men 80-40=40 are non smokers.
1/4 females are smoker. i.e 1/4*20 = 5.
20-5=15 females are non smokers
So, total number of non smokers in the town are 40+15 =55
Answer : C
Answer: (C) 55
Question: Emma worked for h hours each day for d consecutive days. If she earns $4.50 per hour, what is the total amount she earned?
(A) 4.50/d + h
(B) 4.50 + d + h
(C) 4.50 + dh
(D) 4.50h + d
(E) 4.50dh
Rationale: H hours for d days.
Income each day = 4.5*h
Total income = 4.5*h*d
Correct option: E
Answer: (E) 4.50dh
Question: A clock is set at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?
(A) 38
(B) 11
(C) 237
(D) 29
(E) 112
Rationale: Time from 5 a.m. on a day to 10 p.m. on 4th day = 89 hours.
The faulty clock shows only 1424 min for 24 hours in correct clock.
So 1 minute of the faulty clock = 24/1424 hours
1 hour of the faulty clock = 24/1424 × 60 hours
89 hours of the faulty clock = 24/1424 × 60 × 89 = 90 hours.
So true time is 1 hour more than 10 pm. i.e., 11 pm.AnswerB
Answer: (B) 11
Question: Of the 100 people in a room, 2/5 are women. If 1/4 of the people are married, what is the maximum number of women in the room who could be unmarried?
(A) 32
(B) 34
(C) 36
(D) 38
(E) 40
Rationale: women = 2/5 * 100 = 40
married = 1/4 * 100 = 25
unmarried = 75
max(un-married women) = 40
Answer E
Answer: (E) 40