mathewhe/aqua_rat huggingface dataset:
Question: An investor bought 200 shares of stock in ABCD company in 1990. By 1992, the investment was worth only 2/3 of its original value. By 1995, the 200 shares were worth only 1/5 of their value in 1990. By what percent did the value of the investment drop from 1992 to 1995?
(A) 16 2/3%
(B) 70%
(C) 33 1/3%
(D) 50%
(E) 66 2/3%
Rationale: Let price of each share in 1990 = X.
Total cost in 1990 = 200X
Now Price in 1992 = 2/3 * 200X = 400/3 * X
Now price in 1995 = 1/5 *200X= 40X
%Change in 1995 from 1992 = [(400/3* X -40X) / (400/3 *X) ] *100 = 70%
Answer B
Answer: (B) 70%
Question: Pat wants to invest at the local bank that offers a rate of 10% per annum per year. If the interest is compounded half-yearly, how much will Pat have to invest to get Rs. 20000 at the end of a year?
(A) 18,140.59
(B) 18,410.95
(C) 18,590.41
(D) 18,950.14
(E) 18,150.49
Rationale: Amount = 20000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year
20000 = [P * (1 + 5/100)2]
P = 20000 / (1.05)2 = 18140.59
Answer: A
Answer: (A) 18,140.59
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
(A) 23.58 cm
(B) 23.17 cm
(C) 28.17 cm
(D) 23.77 cm
(E) 23.57 cm
Rationale: Let the side of the square be a cm.
Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm
i.e. 4a = 60
A = 15
Diameter of the semicircle = 15 cm
Circimference of the semicircle
= 1/2(∏)(15)
= 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places
Answer:E
Answer: (E) 23.57 cm
Question: A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of the journey
(A) 40km
(B) 50km
(C) 60km
(D) 70km
(E) 80km
Rationale: Difference between timings = 15 min =0.25hr.
Let the length of journey be x km.
Then,
x/35-x/40=0.25
8x - 7x = 70
x = 70km.
ANSWER:D
Answer: (D) 70km
Question: In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (2, 0), (7, 4), and (7, -4)?
(A) 18
(B) 19
(C) 20
(D) 21
(E) 22
Rationale: The triangle is symmetric about the x-axis.
The part above the x-axis forms a triangle with a base of 5 and a height of 4.
The area of this part is (1/2)(5)(4).
We can double this to find the area of the whole triangle.
The total area is (2)(1/2)(5)(4) = 20.
The answer is C.
Answer: (C) 20
Question: The area of square ABCD above is 22. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
(A) 18−9/4∗π
(B) 22−11/2∗π
(C) 9+9/4∗π
(D) 9+9/2∗π
(E) 9/2−9/4∗π
Rationale: =Square - Quarter circle
=22- pi*22/4
=22- pi*11/2
ANSWER:B
Answer: (B) 22−11/2∗π
Question: If 9 is added to twice a number and this sum is multiplied by 3, the result is the same as if the number is multiplied by 4 and 13 is added to the product. What is the number?
(A) -7
(B) -8
(C) -9
(D) -10
(E) -11
Rationale: let the number be x;
3(9+2x)=4x+13;
x=-7
ANSWER:A
Answer: (A) -7
Question: A man can row with a speed of 14 kmph in still water. If the stream flows at 8 kmph, then the speed in downstream is?
(A) 22
(B) 28
(C) 20
(D) 82
(E) 34
Rationale: M = 14
S = 8
DS = 14 + 8 = 22. Answer:A
Answer: (A) 22
Question: A shopkeeper sold an article offering a discount of 4% and earned a profit of 32%. What would have been the percentage of profit earned if no discount was offered?
(A) 24.5
(B) 28.5
(C) 30.5
(D) 32.5
(E) 37.5
Rationale: Let C.P. be Rs. 100.
Then, S.P. = Rs. 132
Let marked price be Rs. x. Then, 96/100 x = 132
x = 13200/96 = Rs. 137.5
Now, S.P. = Rs. 137.5, C.P. = Rs. 100
Profit % = 37.5%.
ANSWER:E
Answer: (E) 37.5
Question: The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
(A) 1/3
(B) 2/3
(C) 5/9
(D) 5/7
(E) 7/11
Rationale: Explanation:
Let the numerator and denominator of the fraction be 'n' and 'd' respectively.
d = 2n - 1
(n + 1)/(d + 1) = 3/5
5n + 5 = 3d + 3
5n + 5 = 3(2n - 1) + 3 => n = 5
d = 2n - 1 => d = 9
Hence the fraction is : 5/9
C
Answer: (C) 5/9
Question: How many different subsets of the set {0, 1, 2} do not contain 0?
(A) A.6
(B) B.7
(C) C.1
(D) D.4
(E) E.2
Rationale: Number of subset
Since we have 2 digits other than 0, we can take any numbers from the set of 2 to make a subset. Also it is a matter of selection and not arrangement.So we will consider combinations.
2c1+2c2=3
And one set is the NULL set having no elements in it so
3+1=4.
ANSWER D.
Answer: (D) D.4
Question: A, B and C completed a piece of work costing Rs.1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio 5 : 6 : 4, how much amount will be received by A?
(A) Rs.800
(B) Rs. 600
(C) Rs.900
(D) Rs.750
(E) Rs.850
Rationale: Explanation:
The new ratio = wages ratio × No. of days
A = 5 × 6 = 30
B = 6 × 4 = 24
C = 4 × 9 = 36
Therefore, the ratio of the amount received = 30 : 24 : 36 = 5 : 4 :6
Total ratio = 15
1 unit of ratio = 1800/15 = Rs. 120
Therefore, amount received by A = 5 units = 5 × 120 = Rs.600.
Answer: Option B
Answer: (B) Rs. 600
Question: The number of defects in the first five cars to come through a new production line are 9, 7, 11, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?
I. 3
II. 7
III. 12
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III
Rationale: C
for 7 we will have mean as 7.16(approx) and median as 7 but for 3 we will have mean and median = 6.5 and for 12 we will have median and mean =8
Answer: (C) III only
Question: If x and y are numbers such that (x+6)(y-6)=0, what is the smallest possible value of x^2 + y^2
(A) 0
(B) 16
(C) 25
(D) 36
(E) 49
Rationale: From (x+6)(y-6)=0 it follows that either x=-6 or y=6. Thus either x^2=36 or y^2=36.
Now, if x^2=36, then the least value of y^2 is 0, so the least value of x^2 + y^2 = 36 + 0 = 36.
Similarly if y^2=36, then the least value of x^2 is 0, so the least value of x^2 + y^2 = 0 + 36 = 36.
Answer: D.
Answer: (D) 36
Question: The ratio between the sale price and the cost price of an article is 8:5. What is the ratio between the profit and the cost price of that article?
(A) 23
(B) 1:2
(C) 2:5
(D) 3:5
(E) 25
Rationale: C.P. = Rs. 5x and S.P. = Rs. 8x.
Then, Gain = Rs. 3x
Required ratio = 3x : 5x = 3:5
D
Answer: (D) 3:5
Question: Which answer is closest to the √17?
(A) a 4.1
(B) b 4.2
(C) c 4.4
(D) d 4.5
(E) e 4.6
Rationale: Try filling the numbers into the y's. y x y =
4.1 x 4.1= 16.81
4.2 x 4.2 = 17.64
Answer: A
Answer: (A) a 4.1
Question: Find the value of 72518 x 9999 = m?
(A) 456578972
(B) 436567874
(C) 653658791
(D) 725117481
(E) 725107482
Rationale: 72518 x 9999 = 72518 x (10000 - 1)
= 72518 x 10000 - 72518 x 1
= 725180000 - 72518
= 725107482
E
Answer: (E) 725107482
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
(A) 118
(B) 150
(C) 277
(D) 258
(E) 191
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
Answer: B
Answer: (B) 150
Question: A man buys 58 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
(A) 7.6 %
(B) 7.7 %
(C) 24.82 %
(D) 13.6 %
(E) 27.82 %
Rationale: Explanation:
Let Marked price be Re. 1 each
C.P. of 58 pens = Rs. 46
S.P. of 58 pens = 99% of Rs. 58 = Rs. 57.42
Profit % = (Profit /C.P.) x 100
Profit% = (11.42/46) x 100 = 24.82 %
ANSWER: C
Answer: (C) 24.82 %
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 100, the runs scored by C are?
(A) 59
(B) 58
(C) 60
(D) 61
(E) 12
Rationale: A:B = 2:3
B:C = 2:5
A:B:C = 4:6:15
15/25 * 100 = 60
Answer:C
Answer: (C) 60
Question: If 0.75: x :: 5:11, then x is equal to:
(A) 1.12
(B) 1.65
(C) 1.2
(D) 1.3
(E) None of these
Rationale: Explanation:
(x * 5) = (0.75 *11)
X=8.25/5 = 1.65
Answer: B
Answer: (B) 1.65
Question: The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 28-inch flat-screen television than a square 25 -inch flat-screen television?
(A) 79.5
(B) 89.3
(C) 85.5
(D) 75.4
(E) 72.5
Rationale: If we take a square with side length x and draw a diagonal, we get two isosceles right triangles.
If we focus on one such right triangle, we see that the legs have length x.
square 28-inch flat-screen television
The diagonal (hypotenuse) = 28
So, we can apply the Pythagorean Theorem to get x² + x² = 28²
Simplify: 2x² = 28²
Divide both sides by 2 to get: x² = 28²/2
Since the area of the square = x², we can see that the area of this square is 28²/2
square 25-inch flat-screen television
The diagonal (hypotenuse) = 25
So, we can apply the Pythagorean Theorem to get x² + x² = 25²
Simplify: 2x² = 25²
Divide both sides by 2 to get: x² = 25²/2
Since the area of the square = x², we can see that the area of this square is 25²/2
DIFFERENCE IN AREAS =28²/2-25²/2
= (28²- 25²)/2 = (784-625)/2 =159/2=79.5
A
Answer: (A) 79.5
Question: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is?
(A) Rs. 400
(B) Rs. 450
(C) Rs. 460
(D) Rs. 480
(E) Rs. 580
Rationale: Let the sum be Rs. P. Then,
[P(1 + 25/(2 * 100))2 - P] = 510
P[(9/8)2 - 1] = 510.
Sum = Rs. 1920
So, S.I. = (1920 * 25 * 2) / (2 * 100) = Rs. 480
ANSWER:D
Answer: (D) Rs. 480
Question: In how many different number of ways 6 men and 4 women can sit on a shopa which can accommodate persons?
(A) 200
(B) 210
(C) 90
(D) 250
(E) 270
Rationale: 10p2 = 10 X 9 = 90
C)
Answer: (C) 90
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 22 years older than Ayush who is 10 years old. At what age did the father get married ?
(A) 22years
(B) 23years
(C) 24years
(D) 25years
(E) 26years
Rationale: Explanation:
Ayush's present age = 10 years.
His mother's present age = (10 + 22) years = 32 years.
Ayush's father's present age = (32+ 5) years = 37 years.
Ayush's father's age at the time of Ayush's birth = (37 - 10) years = 27 years.
Therefore Ayush's father's age at the time of marriage = (27 - 2) years = 25 years.
Answer: D) 25 year
Answer: (D) 25years
Question: Find the odd man out. 187, 264, 326, 473, 682, 781
(A) 187
(B) 326
(C) 781
(D) 682
(E) 473
Rationale: In all numbers except 326, the middle digit is the sum of other two digits.Answer is B
Answer: (B) 326
Question: An old priest fell on a bottom of the well of a church.
The well is 16 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?
(A) 12-days
(B) 14-days
(C) 11-days
(D) 19-days
(E) 10-days
Rationale: A
12-days
In 11-days, he will climb 11-inch and when he climbs 5 inch more, he will be out of the well :-)
Answer: (A) 12-days
Question: there is 6 letter d,f,g,h,r,t.then how many word of 2 letter can be form through these letters?
(A) 720
(B) 360
(C) 48
(D) 30
(E) 24
Rationale: it will comes like 6P2
6!/4!=(1*2*3*4*5*6)/1*2*3*4=30
answer D
Answer: (D) 30
Question: what is 5+7
(A) 2
(B) 4
(C) 10
(D) 12
(E) 11
Rationale: D
Answer: (D) 12
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
(A) 1/6
(B) 1/2
(C) 1/9
(D) 1/5
(E) 1/1
Rationale: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.
Answer:B
Answer: (B) 1/2
Question: If 233/0.233 = 23.3/x, what is the value of x
(A) 233
(B) 23.3
(C) 0.233
(D) 0.0233
(E) None of these
Rationale: Explanation :
233/0.233 = 23.3/x
⇒ 233000/233 = 23.3/x
⇒ 1000 = 23.3/x
⇒ x = 23.3/1000 = 0.0233. Answer : Option D
Answer: (D) 0.0233
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1305 as rent for parking his cars, what is the total rent paid by all the four agencies?
(A) 2388
(B) 2778
(C) 1279
(D) 6150
(E) 7134
Rationale: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1305
45k = 1305 => k = 29
246k = 246(29) = Rs. 7134
Thus the total rent paid by all the four agencies is Rs. 7134.
Answer: E
Answer: (E) 7134
Question: Latha took a loan of Rs. 2000 with simple interest for as many years as the rate of interest. If she paid Rs.180 as interest at the end of the loan period, what was the rate of interest?
(A) 5
(B) 4
(C) 7
(D) 3
(E) 9
Rationale: Let rate = R% and time = R years.
Then, (2000 * R * R) / 100 = 180
20R2 = 180
R2 = 9 => R = 3
Answer:D
Answer: (D) 3
Question: A four years NSC certificate was purchased for Rs. 500 with Rs. 1000 being the maturity value. Find the rate of S.I.
(A) 24%
(B) 22%
(C) 16%
(D) 25%
(E) 32%
Rationale: Explanation:
P = Rs. 500
SI = Rs.500
T = 4
R = ?
R = (100×SI)/PT = (100×500)/(500×4) =100/4 = 25%
Answer: Option D
Answer: (D) 25%
Question: The length of a bridge in meters, which a train 90-meters long and traveling at 45 km/hr can cross in 30 seconds is?
(A) 145
(B) 215
(C) 265
(D) 285
(E) 375
Rationale: 45 km/h = 45000 m/3600 s = 12.5 m/s
In 30 seconds, the train can go 30(12.5) = 375 meters
Let x be the length of the bridge.
x+90 = 375 meters
x = 285 meters
The answer is D.
Answer: (D) 285
Question: If 20 typists can type 60 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
(A) 240
(B) 200
(C) 270
(D) 300
(E) 310
Rationale: No. of letters typing by 20 typists in 20 minutes = 60
No. of letters typing by 20 typists in 60 minutes = 60*3 = 180
No. of letters typing by 30 typists in 60 minutes = 180/20*30 = 270
Answer : C
Answer: (C) 270
Question: I lost Rs 68 in two races. My loss in the second race is Rs 6 more than my lose in the first race. My friend lost Rs 4 more than me in the second race. Then what is the amount lost by my friend in the second race?
(A) Rs 41
(B) Rs 40
(C) Rs 31
(D) Rs 51
(E) Rs 81
Rationale: I lost Rs 68 in two races. My loss in the second race is Rs 6 more than my lose in the first race.
so I lost Rs 31 in first race and Rs 37 in 2nd race.
My friend lost Rs 4 more than me in the second race.
My friend lost 37+4= Rs 41 in the second race.
ANSWER:A
Answer: (A) Rs 41
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 600. Find the average mark scored by all the three boys?
(A) 384
(B) 826
(C) 207
(D) 269
(E) 288
Rationale: Average mark scored by all the three boys =
[64/100 (600) + 36/100 (600) + 44/100 (600)] / 3
= 288
Answer: E
Answer: (E) 288
Question: 1/0.08 is equal to
(A) 25.5
(B) 2.5
(C) 12.5
(D) .25
(E) None of these
Rationale: Explanation:
1/0.08 = (1 * 100)/8 = 100/8 = 12.5
Option C
Answer: (C) 12.5
Question: T = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set T and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?
(A)  0.15
(B)  0.20
(C)  0.25
(D)  0.30
(E)  0.33
Rationale: The total number of pairs T,B possible is 4*5=20. Out of these 20 pairs only 4 sum up to 9: (2, 7); (3, 6), (4, 5) and (5, 4). The probability thus is 4/20=0.2.
Answer: B.
Answer: (B)  0.20
Question: A batsman in his 12th innings makes a score of 70 and thereby increases his average by 3 runs. What is his average after the 12th innings if he had never been ‘not out’?
(A) 42
(B) 37
(C) 44
(D) 45
(E) 46
Rationale: Let ‘x’ be the average score after 12 th innings
⇒ 12x = 11 × (x – 3) + 70
∴ x = 37
Answer B
Answer: (B) 37
Question: A man can row upstream 10 kmph and downstream 20 kmph. Find the man rate in still water and rate of the stream.
(A) 0,5
(B) 5,5
(C) 15,5
(D) 10,5
(E) None of these
Rationale: Explanation:
Please remember,
If a is rate downstream and b is rate upstream
Rate in still water = 1/2(a+b)
Rate of current = 1/2(a-b)
=> Rate in still water = 1/2(20+10) = 15 kmph
=> Rate of current = 1/2(20-10) = 5 kmph
Option C
Answer: (C) 15,5
Question: On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of?
(A) 16 2/6%
(B) 16 8/3%
(C) 16 2/3%
(D) 16 2/8%
(E) 16 1/3%
Rationale: Clearly, the retailer gets 1 dozen out of 6 dozens free.
Equivalent discount = 1/6 * 100 = 16 2/3%.
Answer: C
Answer: (C) 16 2/3%
Question: Let ABCD be a convex quadrilateral with BA = BC and DA = DC. Let E and F be the
midpoints of BC and CD respectively, and let BF and DE intersect at G. If the area of CEGF
is 50, what is the area of ABGD?
(A) 100
(B) 200
(C) 300
(D) 400
(E) 500
Rationale: Let [XY Z] denote the area of a polygon XY Z.
Observe that BF and DE are two medians of 4BCD, so G is the centroid of 4BCD. Since
the medians of a triangle divide the triangle into six parts of equal area, we have
[CGF] = [CGE] =
1/2
[CEGF] = 25:
It follows that [CBD] = 6 25 = 150 and [BGD] = 2 25 = 50.
Furthermore, since BA = BC, DA = DC, and BD = BD, we have that 4ABD = 4CBD, so
[ABD] = [CBD] = 150. Finally,
[ABGD] = [ABD] + [BGD] = 150 + 50 = 200
correct answer B
Answer: (B) 200
Question: Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 15 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel?
(A) 54
(B) 66
(C) 80
(D) 45
(E) 96
Rationale: D
45
It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 18 MPH = 45 miles
Answer: (D) 45
Question: What is the sum of all the multiples of 8 between 30 and 100?
(A) 485
(B) 72
(C) 547
(D) 104
(E) 624
Rationale: You first have to know all the multiples of 8 between 30 and 100. They are 8, 16, 24,32,40,48,56,64,72,80,88 and96. If you add all these numbers together, you get 624.
Final Answer:E
Answer: (E) 624
Question: Look at this series: 201, 202, 204, 207, ... What number should come next?
(A) 211
(B) 205
(C) 209
(D) 210
(E) 212
Rationale: A
Answer: (A) 211
Question: The functions f and g are defined for all the positive integers n by the following rule: f(n) is the number of perfect squares less than n and g(n) is the number of primes numbers less than n. If f(x) + g(x) = 16, then x is in the range:
(A) 30 < x < 36
(B) 30 < x < 37
(C) 31 < x < 37
(D) 31 < x < 38
(E) 32 < x < 38
Rationale: f(n) = number of perfect squares less than n
1,4,9,16,25,36
f(25) = 4
f(26)=f(27)=...=f(35)=f(36) = 5
f(37) = 6
g(n) = number of prime numbers less than n
2,3,5,7,11,13,17,19,23,29,31,37
g(31)=10
g(32)=g(33)=...=g(36)=g(37) = 11
g(38)=12
f(x)+g(x)=16 implies that f(x)=5 and g(x)=11.
So, x = 32,33,34,35,or36.
Answer C, 31 < x < 37.
Answer: (C) 31 < x < 37
Question: In how many ways can 8 different gifts be divided among four children such that each child receives exactly two gifts?
(A) 16^4
(B) (4!)^4
(C) 8!/(2!)^4
(D) 8!/4!
(E) 4^16
Rationale: Total 8 different Gifts, and 4 children.
Thus any one child gets 8C2 gifts,
then the other child gets 6C2 gifts(8 total - 2 already given),
then the third one gets 4C2 gifts,
and the last child gets 2C2 gifts.
Since order in which each child gets the gift is not imp, thus, ans :
8C2 * 6C2 * 4C2 * 2C2= 8! / (2!)^4
Ans : C.
Answer: (C) 8!/(2!)^4
Question: Of 10 applicants for a job, 3 had at least 5 years of prior work experience, 4 had advanced degrees, and 2 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?
(A) 3
(B) 9
(C) 5
(D) 4
(E) 8
Rationale: Had advanced degrees and 5 years work experience: 2
Only had 5 years work experience: 3-2 = 1
Only had advanced degrees: 4-2 = 2
10-2-1-2=5
Answer: C
Answer: (C) 5
Question: The market value of a certain machine decreased by 25 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
(A)  $8,000
(B)  $5,600
(C)  $3,200
(D)  $4,000
(E)  $800
Rationale: D.
Market value in 1982= $ 8000
Market value in 1983 = $ 8000- ($ 8000 x 25/100) = 8000-2000= $ 6000
Market value in 1984 = Market value in 1983 - (25 % of $8000)= 6000-2000 = $4000
Answer: (D)  $4,000
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
(A) 16 m
(B) 17 m
(C) 87 m
(D) 27 m
(E) 34 m
Rationale: Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 867
3b2 = 867
b2 = 289 = 172 (b > 0)
b =17 m.
Answer: B
Answer: (B) 17 m
Question: Which of the following values is the greatest
(A) a) 11% of 89
(B) b) 22% of 78
(C) c) 50% of 67
(D) d) 44% of 56
(E) e) 55% of 45
Rationale: Are you sure that you checked the answer key correctly? I just signed up forVeritas(haven't started yet, not until March) but I have access to the materials and the answer key I'm looking at says C
Answer: (C) c) 50% of 67
Question: If an average hard drive had a capacity of 0.3 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
(A) 3072
(B) 512
(C) 768
(D) 1024
(E) 1536
Rationale: 0.3*2^10=0.3*1024=307.2
The answer is A.
Answer: (A) 3072
Question: If 42.24 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: 42.24 = 14K + Km/50...we can rewrite the number as follows:
42+ 0.24= 14K + Km/50........Since K is integer, then 42=14K..........K=3
0.24=Km/50......24/100=3m/50......m=4
k+m=3+4=7
Answer: B
Answer: (B) 7
Question: A batsman scored 120 runs which included 5 boundaries and 8 sixes. What % of his total score did he make by running between the wickets
(A) 43.33%
(B) 50%
(C) 65%
(D) 70%
(E) 75%
Rationale: Number of runs made by running = 120 - (5 x 4 + 8 x 6)
= 120 - (68)
= 52
Now, we need to calculate 60 is what percent of 120.
=> 52/120 * 100 = 43.33 %
A
Answer: (A) 43.33%
Question: If 11 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
(A) 78 days.
(B) 121 days.
(C) 49 days.
(D) 48 days.
(E) 67 days.
Rationale: B
121 days.
From the above formula i.e (m1*t1/w1) = (m2*t2/w2)
so (11*6*88/1) = (6*8*d/1)
on solving, d = 121 days.
Answer: (B) 121 days.
Question: Last year Sandy saved 10% of her annual salary. This year, she made 10% more money than last year, and she saved 6% of her salary. The amount saved this year was what percent of the amount she saved last year?
(A) 66%
(B) 80%
(C) 112%
(D) 136%
(E) 148%
Rationale: Let last year's salary be x.
Last year, Sandy save 0.1x
This year, Sandy saved 0.06*1.1x = 0.066x
0.066x / 0.1x = 0.66 = 66%
The answer is A.
Answer: (A) 66%