mathewhe/aqua_rat huggingface dataset:
Question: If a book is sold at 10% profit instead of 10% loss, it would have brought Rs 14 more. Find out the cost price of the book
(A) 75
(B) 72
(C) 60
(D) 70
(E) 80
Rationale: Let C.P. of the book be Rs. ’X’
Given, 1.10 X - 0.90X = 14
=> 0.2 X = 14 = 14/0.2 = Rs 70
ANSWER:D
Answer: (D) 70
Question: Thomas's age and Matt's age are in the ratio 6:7. Four years ago the ratio of their ages was 5:6. Find the ratio of their ages 10 years before?
(A) 3:5
(B) 5:7
(C) 7:9
(D) 9:11
(E) 11:13
Rationale: Let ages of Thomas and Matt be x and y respectively.
x/y = 6/7 => x = 6/7 y
(x-4)/(y -4) = 5/6
=> 6x - 24 = 5y - 20 => 6x = 5y + 4
But x = 6/7 y
6 * 6/7 y = 5y + 4
36y = 35y +28 => y = 28 years
=> x = 6*28/7 =>24 years
Ratio of their ages four years hence, (24-10)/(28-10) = 14/18. => 7:9
Answer: C
Answer: (C) 7:9
Question: A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 5 days, B can complete the job in 25 days and C can complete the job in 2 days. How many days the company will it take to complete the job if all the machines are used simultaneously?
(A) 4 days
(B) 5/3 days
(C) 50/37 days
(D) 37/50 days
(E) 14 days
Rationale: Let the total number of cans to be prepared be 50.
The number of cans prepared by A in 1 day = 10.
The number of cans prepared by B in 1 day = 2.
The number of cans prepared by C in 1 day = 25.
Thus, the total number of cans that can be prepared by all the machines working simultaneously in a single day = 37.
Therefore, the number of days taken to complete the whole work = 50/37 days.
ANSWER:C
Answer: (C) 50/37 days
Question: The parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 20 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
(A) 23.56
(B) 33.0
(C) 23.55
(D) 23.53
(E) 23.57
Rationale: Let the side of the square be a cm.
Parameter of the rectangle = 2(22 + 20) = 84 cm Parameter of the square = 84 cm
i.e. 4a = 84
A = 21
Diameter of the semicircle = 21 cm
Circimference of the semicircle
= 1/2(âˆ)21
= 1/2(22/7)(21) = 66/2 = 33 cm
Answer:B
Answer: (B) 33.0
Question: A group of people were given 2 puzzles. 71% people solved puzzle X and 89% people solved puzzle Y. What is the maximum and minimum percentage of people who could have solved both the puzzles?
(A) 71%, 60%
(B)  49%, 33%
(C)  68%, 57%
(D)  79%, 68%
(E)  89%, 79%
Rationale: To solve this question, we don't need any formulas. Just read the question carefully. If 71% of the people solved puzzle X and 89% solved puzzle Y, then maximum % that can solve both correctly can only be 71%. From the given options, only D looks good
Answer A
Answer: (A) 71%, 60%
Question: 40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 5 like all. How many people like apple?
(A) 48
(B) 46
(C) 54
(D) 58
(E) 62
Rationale: orange+mango-apple=7
mango+apple-orange=10
apple=40
orange+mango+apple=5
40+10+5-7=48 like apple
ANSWER:A
Answer: (A) 48
Question: If the cost price of 12 pens is equal to the selling price of 6 pens, the gain percent is:
(A) 80%
(B) 90%
(C) 100%
(D) 40%
(E) 10%
Rationale: Explanation:
Let C.P. of each pen be Re. 1.
Then, C.P. of 6 pens = Rs. 6; S.P. of 6 pens = Rs. 12.
Gain % = 6/6 * 100 = 100%
Answer:C
Answer: (C) 100%
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
(A) 711
(B) 378
(C) 375
(D) 318
(E) 319
Rationale: A+B+C = 1500
A = 1/3(B+C); B = 2/3(A+C)
A/(B+C) = 1/3
A = 1/4 * 1500 => 375
Answer: C
Answer: (C) 375
Question: Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
(A) 512
(B) 513
(C) 514
(D) 515
(E) 516
Rationale: Let total number of children be x.
Then, (x) x 1/8x = (x/2)x 16
= x = 64.
Number of notebooks = 1/8 x2 = (1/8	x 64 x 64)	= 512.
Answer is A.
Answer: (A) 512
Question: Which of the following numbers is divisible by each one of 3, 7, 9 and 11?
(A) 639
(B) 2079
(C) 3791
(D) 37911
(E) None of these
Rationale: 639 is not divisible by 7;
2079 is divisible by each one of 3, 7, 9, 11.
Correct Option: B
Answer: (B) 2079
Question: The owner of an electronic store charges his customer 14% more than the cost price. If a customer paid Rs.1,65300 for an LED TV, then what was the original price of the TV?
(A) Rs.140400
(B) Rs.150500
(C) Rs.145000
(D) Rs.135200
(E) None of these
Rationale: Explanation:
14% more than CP means SP = 114% = Rs.165300.
:. CP = 165300x100/140 = Rs.145000.
Answer: Option C
Answer: (C) Rs.145000
Question: On Saturday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
(A) Tuesday
(B) Wednesday
(C) Thursday
(D) Friday
(E) Saturday
Rationale: Shirt combinations = 3!/1*(3-1)! = 3*2*1/1*2*1 = 3
Sweater combinations = 2!/1*(2-1)! = 2*1/1*1 = 2
Hat combinations = 4!/1!*(4-1)! = 4*3*2*1/1*3*2*1 = 4
Total Combinations = Shirt Combos*Sweater Combos*Hat Combos
3*2*4=24 combinations
24 / 7 (days of the week) = remainder of 3
Purchased on Saturday, 3rd day is Tuesday. Next day, which he won't have a new combination for, is Wednesday. (B)
Answer: (B) Wednesday
Question: On January 1, 2011, Dimple invests 20% of his retirement savings in Antarctic largecap stocks, 30% in Antarctic midcaps, and 50% in Antarctic smallcaps. In 2011, largecaps rise 20%, midcaps rise 10%, and smallcaps rise 20% in the Antarctic stock market; however, in 2012, largecaps fall 10% and midcaps fall 20%, while smallcaps rise x% in Antarctica. If, on January 1, 2013, Dimple has the same total amount of retirement savings as he did two years before, then x is between
(A) 0 and 5
(B) 5 and 10
(C) 10 and 15
(D) 15 and 20
(E) 20 and 30
Rationale: Pick a smart number for the total retirement savings Dimple starts with—say, $10,000. (If you pick $100, you’ll wind up needing to track decimals, so give yourself more zeros to start with.)
Here are the starting values:
L = $2000
M = $3000
S = $5000
Apply the first year’s changes, so that you have these numbers on 1/1/2012:
Newer L = $2000+ 20% = $2400
Newer M = $3000+ 10% = $3300
Newer S = $5000+ 20% = $6000
Now apply the second year’s changes to L and M:
Newest L = $2400– 10% = $2400– $240 = $2160
Newest M = $3300– 20% = $3300– $660= $2640
Add these to get $4800. So the newest S must be $10,000 (the target final total of Dimple’s retirement savings) minus $4800, $5200
The dollar change in S from 1/1/12 to 1/1/13 is $6000 – $800 = $5200. So the question is this: what percent change does $800 represent, from a starting point of $6000? Since $6000 is a nasty divisor, switch to benchmarks:
5% of $6000 = $300.
10% of $6000 = $600.
15% of $6000 = $900.
And so on.
From this $800 lies between $600 and $900
The correct answer is C.
Answer: (C) 10 and 15
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, 2, x
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
Rationale: 46080 /12 = 3840
3840 /10 = 384
384 /8 = 48
48 /6 = 8
8/4 = 2
2 /2 = 1
A
Answer: (A) 1
Question: Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 34 years. What is Deepak present age?
(A) 22
(B) 15
(C) 77
(D) 21
(E) 182
Rationale: Present age is 4x and 3x,
=> 4x + 6 = 34 => x = 7
So Deepak age is = 3(7) = 21
Answer: D
Answer: (D) 21
Question: If the sides of a triangle are 26 cm, 24 cm and 12 cm, what is its area?
(A) 144
(B) 772
(C) 288
(D) 266
(E) 2848
Rationale: The triangle with sides 26 cm, 24 cm and 12 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 12 = 144 cm2
Answer: A
Answer: (A) 144
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
(A) 16 2/6%
(B) 16 9/3%
(C) 19 2/9%
(D) 16 2/3%
(E) 16 7/3%
Rationale: 600 ---- 100
100 ---- ? => 16 2/3%
Answer: D
Answer: (D) 16 2/3%
Question: A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes.How long will it take to go 5 km in stationary water ?
(A) 40 minutes
(B) 1 hour
(C) 1 hr 15 min
(D) 1 hr 20 min
(E) None of these
Rationale: Solution
Rate downstream =(1/10x60) km/hr = 6 km/hr, Rate upstream = 2 km/hr.
Speed in still water =1/2(6 + 2) km/hr = 4 km/hr.
∴ Required time =(5/4)hrs = 1 1/4hrs = 1 hr 15 min. Answer C
Answer: (C) 1 hr 15 min
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5.
(A) 150
(B) 152
(C) 158
(D) 159
(E) 150
Rationale: D = d * Q + R
D = 17 * 9 + 5
D = 153 + 5
D = 158
C
Answer: (C) 158
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
(A) 276
(B) 299
(C) 322
(D) 345
(E) 355
Rationale: Clearly, the numbers are (23 x 13) and (23 x 14).
Larger number = (23 x 14) = 322. Answer: Option C
Answer: (C) 322
Question: a spider web consists of 3 concurrent lines forming radial support for 20 concentric regular hexagon .the hexagon vertices are 5mm from their immidiate neighbour. if the innermost hexagon has a side length 3mm how many meters is the length of the entire web including the 3 diagonals ?
(A) 7.354 m
(B) 8.354 m
(C) 6.354 m
(D) 9.354 m
(E) 5.354 m
Rationale: for perimeter of all hexagon =6*(3+8+13+...........20th term.)
sum will be 6060 mm
and for length of one diagonal find 20th term=98
so total length =6060+294=6354 mm=6.354 m
ANSWER:C
Answer: (C) 6.354 m
Question: David obtained 86, 85, 82, 87 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?
(A) 75
(B) 276
(C) 87
(D) 85
(E) 11
Rationale: Explanation:
Average = (86+ 85+ 82+ 87+ 85 )/ 5 = 425/5 = 85.
Answer:D
Answer: (D) 85
Question: consider a no 235, where last digit is the sum of first two digit no eg- 2+3=5 , how many such 3-digit no are there ???
(A) 44
(B) 45
(C) 46
(D) 47
(E) 48
Rationale: between 100 and 200 there are 9 such numbers
101,112,123,134,145,156,167,178,189
in the same way btwn 200 and 300
202,213,224,235,246,257,268,279 =8 numbers totally
so series continues as 9+8+7+6+5+4+3+2+1=45 numbers
ANSWER:B
Answer: (B) 45
Question: If the integer w is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when w is rounded to the nearest ten. which of the following is a possible value of w?
(A) 64
(B) 67
(C) 99
(D) 133
(E) 147
Rationale: We have to check options 1 by 1.
64 rounded to nearest hundred = 100
64 rounded to nearest ten = 60
now difference = 40
the result represents a 66 2/3 % increase over the value obtained when x is rounded to the nearest ten.
therefore 40/60)*100 = 66 2/3 ==>this is the answer.
99 rounded to nearest ten = 100
133 rounded to nearest ten = 130
133 rounded to nearest hundred w= 100=A
Answer: (A) 64
Question: If Rahul earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased?
(A) 1/4
(B) 1/5
(C) 1/10
(D) 9/100
(E) 1/20
Rationale: Perhaps it is also easy to just translate the % into fractions:
6%: 6/100 = 3/50
7%: 7/100
8%: 8/100 = 4/50 =2/25
9%: 9/100
Only 9/100 exists in the answer choices, so ANS D
Answer: (D) 9/100
Question: A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 5.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
(A) 4 p.m.
(B) 5 p.m.
(C) 6 p.m.
(D) 7 p.m.
(E) 3 p.m
Rationale: Explanation:
Net ascent of the monkey in 1 hour = (30 - 20) feet = 10 feet.
So, the monkey ascends 90 feet in 9 hours i.e. till 2 p.m.
Clearly, in the next 1 hour i.e. till 3 p.m. the monkey ascends remaining 30 feet to touch the flag.
Answer:E
Answer: (E) 3 p.m
Question: Circular gears L and R start to rotate at the same time at the same rate. Gear L makes 10 complete revolutions per minute and gear R makes 40 revolutions per minute. How many seconds after the gears start to rotate will gear R have made exactly 9 more revolutions than gear L?
(A) a) 6
(B) b) 8
(C) c) 10
(D) d) 18
(E) e) 15
Rationale: Gear L -- 10 rotations per 60 seconds -- 1 rotation per 6 seconds.
Gear R -- 40 rotations per 60 seconds -- 4 rotations per 6 seconds.
First 6 seconds -- Gear L makes 1 rotation. -- Gear R makes 4 rotations -- Net difference -- 3 rotations
Hence every 6 seconds the difference between the number of rotations of R and L gear is 3 units.
Required net difference should be 9 rotations => 3 (6 seconds later) ==> 18 seconds.
Answer: D).
Answer: (D) d) 18
Question: Tom is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 powder , and the remainder an even mixture of salt, pepper and sugar. If Tom accidentally doubles the powder and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?
(A) 15/29
(B) 5/8
(C) 5/16
(D) 1/2
(E) 13/27
Rationale: Olive oil = 5/8 = 15/24 --> 15 parts out of 24;
powder = 1/4 = 6/24 --> 6 parts out of 24;
Salt + pepper + sugar = 1-(15/24+6/24)= 3/24, so each = 1/24 --> 1 part out of 24 each;
If powder = 12 (instead of 6) and sugar = 0 (instead of 1) then total = 15+12+1+1+0 = 29 parts out of which 15 parts are olive oil --> proportion = 15/29.
Answer: A.
Answer: (A) 15/29
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
(A) 1/5
(B) 1/20
(C) 4/5
(D) 7/3
(E) 2/7
Rationale: If a number is divisible by 4 the last 2 digits of the number has to be divisible by 4.
If the number ends with 12: Number of possibilities = 2 * 1 = 2
number ends with 24: Possibilities =2 * 1 = 2
number ends with 32: Possibilities = 2
Total number of possibilities with restriction = 2+2+2=6
Total number of possibilities without restriction = 5! = 120
Probability = 6/120 = 1/20
Answer:B
Answer: (B) 1/20
Question: Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 108 grams of compound X?
(A) 90
(B) 162
(C) 250
(D) 270
(E) 322
Rationale: total number of fractions =2+10=12
element B constitutes =10 out of 12 parts of X
So in 108 gms of X have 108*10/12=90 gms of B
and 108-90=18 gms of A.
cross check:- A/B = 18/90 =2/10 (as given)
Ans A
Answer: (A) 90
Question: Mike's age is 48 years. If he is 4 more than twice the age of his son, find the age of his son.
(A) 20 years
(B) 22 years
(C) 16 years
(D) 18 years
(E) 19 years
Rationale: Let Mike's son age be x.
4 + 2 x = 48
x = 22
Hence Mike's son age is 22 years
Answer : B
Answer: (B) 22 years
Question: 50, 47, 45, 42, 40, 37, 35, 32, ?
(A) 31
(B) 30
(C) 29
(D) 28
(E) 27
Rationale: This is an alternating number subtraction series. The pattern is -3, -2, -3, -2, ....
The answer is B.
Answer: (B) 30
Question: HOW MANY KGS OF TEA WORTH RS.25/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 20%
(A) 36
(B) 40
(C) 32
(D) 42
(E) 60
Rationale: (x+30)*30=(120/100)(25x+30*30)
Solving we get 60.
Answer is E.
Answer: (E) 60
Question: A and B started a business with initial investments in the ratio 10 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ?
(A) 6 months
(B) 8 months
(C) 9 months
(D) 35 months
(E) 7 months
Rationale: Let Sumit in the business for ‘a’ months.
Investment Ratio Amit to Sumith = 10:3
Profit sharing ratio = 8 : 7.
Amit is in the business for 12 months.
Then Sumit in the business for
(10 × 12) / (3 × a) = 8 / 7 => 24a = 840 or
a = 840 / 24 = 35 or 35 months
Option D
Answer: (D) 35 months
Question: At the opening of a trading day at a certain stock exchange, the price per share of stock K was $28. If the price per share of stock K was $29 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
(A) 3.57%
(B) 5.9%
(C) 11.1%
(D) 12.5%
(E) 23.6%
Rationale: Opening = 28
Closing = 29
Rise in price = 1
So, percent increase = 1/28*100 = 3.57
Answer : A
Answer: (A) 3.57%
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
(A) 2668
(B) 9261
(C) 1688
(D) 2588
(E) 1611
Rationale: Explanation:
A = 8000(21/20)3 = 9261
Answer:B
Answer: (B) 9261
Question: Two air planes are moving in the same direction at 29 kmph and 11 kmph. The faster air plane crosses the slower air plane in 10 seconds. Find the length of the faster air plane in meters.
(A) 36 m
(B) 71 m
(C) 42 m
(D) 50 m
(E) 59 m
Rationale: Relative speed = (29 - 11) * 5/18 = 5 = 5 mps.
Distance covered in 27 sec = 10 * 5 = 50 m.
The length of the faster train = 50 m.
Answer:D
Answer: (D) 50 m
Question: How many 4-digit numbers can be formed from the digits 0,2, 3, 5, 6, 7 and 9, which are divisible by 5 and if the repetition is not allowed?
(A) 200
(B) 240
(C) 300
(D) 360
(E) 120
Rationale: Since, each desired number is divisible by 5, so we must have either 0 or 5 at the unit place.
So , the tens place can now be filled by any of the remaining 6 digits (2, 3, 6, 7, 9, 0 or 5)
the hundreds place can now be filled by any of the remaining 5 digits
therefore the 3-digit no can be formed by (4 * 5 * 6 * 2) = 240 ways
Ans- B
Answer: (B) 240
Question: Two friends want to buy a snack. They combine their money and find they have $3.75, consisting of quarters, dimes, and nickels. If they have 35 coins and the number of quarters is half the number of nickels, how many quarters do they have?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: Let x be the number of quarters. Then 2x is the number of nickels.
(1) 25x + 10x + 10D = 375. Then 7x + 2D = 75
(2) 3x + D = 35. Then 6x + 2D = 70
Let's subtract equation (2) from equation (1).
x = 5
The answer is B.
Answer: (B) 5
Question: Find the sum of all 2 digit numbers divisible by 3.
(A) 1665
(B) 1765
(C) 1865
(D) 1965
(E) 1555
Rationale: All 2 digit numbers divisible by 3 are :
12, 51, 18, 21, ..., 99.
This is an A.P. with a = 12 and d = 3.
Let it contain n terms. Then,
12 + (n - 1) x 3 = 99 or n = 30.
Required sum = 30/2 x (12+99) = 1665.
Answer is A
Answer: (A) 1665
Question: Three sets of 80, 50 and 90 students appeared for an examination and the pass percentage was 75, 90 and 100 respectively. the pass percentage of the whole set is
(A) 87.63%
(B) 88.53%
(C) 88.93%
(D) 88.63%
(E) 89.63%
Rationale: Explanation:
total passed student =60+45+90=195
195 is 88.63% of 220
ANSWER:D
Answer: (D) 88.63%
Question: P is a no. which has exactly 3 factors which divide 25! Then whats is the greatest power of 3 in (p-25)!
(A) 46
(B) 47
(C) 48
(D) 49
(E) 50
Rationale: suppose p=125 has three factor 125==5*5*5;
(125-25)=100;
power of 3=100/3=33.33/3+11.11/3+3.3/3=47+11+3+1=48
ANSWER:C
Answer: (C) 48
Question: A, B and C start a business each investing 20,000. After 10 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 71400 was recorded. Find the share of B.
(A) 20,000
(B) 21,200
(C) 23,200
(D) 20,500
(E) None of these
Rationale: Ratio of the capitals of A, B and C
= 20000 Ã— 10 + 15000 Ã— 2 : 20000 Ã— 10 + 16000 Ã— 2 : 20000 Ã— 10 + 26000 Ã— 2
= 230000 : 232000 : 252000 = 230 : 232 : 252.
Bâ€™s share = (71400 Ã— 232â„714) = 23200;
Answer C
Answer: (C) 23,200
Question: Find the compound interest on Rs. 16,000 at 20% per annum for 9 months, compounded quarterly
(A) 2875
(B) 2654
(C) 2645
(D) 2456
(E) 2522
Rationale: 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. CI. = Rs. (18522 - 16000) = Rs. 2522 Answer : E
Answer: (E) 2522
Question: If point A coordinates are (-7, -2) 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 (-7+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 D.
Answer: D.
Answer: (D) (0, 2)
Question: The value of (10^9-10^2)/(10^7-10^3) is closest to which of the following?
(A) 1
(B) 10
(C) 10^2
(D) 10^3
(E) 10^4
Rationale: Because the question asks for what value isclosestthe question invites approximation.
Let's look at the numerator:
10^9 - 10^2
10^9 is HUGE compared to 10^2.
So 10^9 - 10^2 is very close to 10^9 itself. (Just as 100 - 0.0001 is very close to 100 itself).
Likewise, 10^7 is HUGE compared to 10^3.
So 10^7 - 10^3 is very close to 10^7.
So we have:
10^9/10^7
or 10^(9-7) = 10^2.
Choose C.
Answer: (C) 10^2
Question: If g(x) = ax^5 + bx^3 + 3, and g(5) = 10, then g(–5) =?
(A)  – 10
(B)  – 8
(C)  – 6
(D)  0
(E)  -4
Rationale: g(5) = 10
or, 5^5 a + 5^3 b + 3 = 10
or, 5^5 a + 5^3 b = 7
g(-5) = -5^5 a - 5^3 b + 3 = - (5^5 a + 5^3 b) + 3 = - 7 + 3 = - 4 = (E)
Answer: (E)  -4
Question: At Veridux Corporation, there are 218 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?
(A) 15
(B) 20
(C) 25
(D) 30
(E) 47
Rationale: Well, first letâ€™s take care of the â€œtotalsâ€. The numbers in the â€œtotalsâ€ row must add up. If 90 are females, the other 218 â€“ 90 = 128 must be males. Similarly, the numbers in the â€œtotalsâ€ column must add up. If 40 are managers, then the other 218 â€“ 40 = 178 must be associates.
Now, in the â€œassociateâ€ row, 135 + E = 178, which means E = 43 â€” the other 43 associates must be female.
Now, to find B, which is what the question is asking, we need only look at the sum in the â€œfemaleâ€ column: B + 43 = 90, which means B = 47. There are fifteen female managers in this company. Thus, the answer = 47 (E).
Answer: (E) 47
Question: A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 4 rounds per hour respectively. If they start at 7 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.00 a.m.?
(A) 10
(B) 6
(C) 12
(D) 8
(E) 16
Rationale: Relative speed = Speed of A + Speed of B (âˆ´ they walk in opposite directions)
= 2 + 4 = 6 rounds per hour
=> They cross each other 6 times in 1 hour.
Time duration from 7.00 am to 9.00 am = 2 hour
Hence they cross each other 12 times before 9.00 am
Answer : C
Answer: (C) 12
Question: A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 800 square feet, what is the total length of the fence, in feet?
(A) 40
(B) 80
(C) 100
(D) 120
(E) 200
Rationale: two sides EACH = x the third = 2x and the wall length is thus 2x too
x*2x = 2x^2 = 800 ie x^2 = 400 ie x = 20
L = 40 W= 20
TOTAL LENGTH OF FENCE = 2*20+ 40 = 80
MY ANSWER IS B
Answer: (B) 80
Question: A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?
(A) 298 m
(B) 188 m
(C) 240 m
(D) 178 m
(E) 189 m
Rationale: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Length of the train = 20 * 12
= 240 m.
Answer:C
Answer: (C) 240 m
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
(A) 132
(B) 240
(C) 188
(D) 111
(E) 123
Rationale: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/36 = 15 => x = 240 m
Answer: B
Answer: (B) 240