mathewhe/aqua_rat huggingface dataset:
Question: Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 35~ ?
(A) 0
(B) 1
(C) 2
(D) 8
(E) 31
Rationale: n~ = (n-1)!
so 35~ = (35-1)! = 34!
when 34!/35 we have 16*2 inside 34!
hence 35 gets cancelled and we get remainder as 0
A
Answer: (A) 0
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
(A) 288
(B) 277
(C) 245
(D) 997
(E) 232
Rationale: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m
Answer: C
Answer: (C) 245
Question: The last digit in the product (784 x 618 x 917 x 463) is?
(A) 5
(B) 4
(C) 2
(D) 3
(E) 8
Rationale: Unit digit in the given product = Unit digit in (4 x 8 x 7 x 3) = (672) = 2
Answer is C
Answer: (C) 2
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
(A) 22
(B) 77
(C) 90
(D) 66
(E) 12
Rationale: SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 15 = Rs. 90.
Answer: C
Answer: (C) 90
Question: If 6x^2 + x - 12 = (fx + b)(cx + d), then |f| + |b| + |c| + |d| =
For a complete solution and more practice problems, see this blog:
http://magoosh.com/gmat/2012/algebra-on ... to-factor/
(A)  10
(B)  12
(C)  15
(D)  18
(E)  20
Rationale: 6x^2+x-12 = 6x^2 + 9x -8x -12
=> 3x(2x+3) -4(2x+3)
=> (2x+3)(3x-4) = (fx+b)(cx+d)
Hence f=2, b=c=3, d=-4
So, 2+3+3+ |-4| = 2+3+3+4 = 12
Answer B.
Answer: (B)  12
Question: A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 55 percent.
(A) 145
(B) 150
(C) 175
(D) 165
(E) 130
Rationale: 1 hr =20 percent.Thus 15 min=5 percent .Now to charge 55 percent 165 min.Answer:D
Answer: (D) 165
Question: The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 buildings numbered 1 to 1000 in base 8. How many 3s are used in numbering these buildings?Express your answer in base 10
(A) 192
(B) 200
(C) 196
(D) 198
(E) None
Rationale: Explanation :
Number 3 in 1-100 comes 20 times.
101-200-> 20 times
201-300-> 20 times
301-400->120 times
401-500-> 20 times
501-600-> 20 times
601-700-> 20 times
701-800-> 20 times
801-900-> 20 times
901-1000-> 20 times
Total times: 300 times (any no. from 1 to 9 except 0 will occur 300 times)
8 based planet.. then
3*8(2) + 0*8(1) + 0*8(0) = 192
Answer : A
Answer: (A) 192
Question: In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (2, 0), (6, 3), and (6, -3)?
(A) 11
(B) 12
(C) 13
(D) 14
(E) 15
Rationale: The triangle is symmetric about the x-axis.
The part above the x-axis forms a triangle with a base of 4 and a height of 3.
The area of this part is (1/2)(4)(3).
We can double this to find the area of the whole triangle.
The total area is (2)(1/2)(4)(3) = 12.
The answer is B.
Answer: (B) 12
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
(A) 2662
(B) 1286
(C) 1987
(D) 8112
(E) 2781
Rationale: Explanation:
A = 7500(26/25)2 = 8112
Answer:D
Answer: (D) 8112
Question: One-third less than 35% of 180 is equal to:
(A) 15
(B) 30
(C) 35
(D) 42
(E) 45
Rationale: Lots of ways to tackle this.
35% of 180 =63
1/3 of 63= 21
So, 1/3less than 63 is equal to 63- 21 = 42
Answer: D
Answer: (D) 42
Question: A hotel pays a food distributor d dollars for 6 pounds of Maine lobster. Each pound can make v vats of lobster bisque, and each vat makes b bowls of lobster bisque. If the cost of the lobster per bowl is an integer, and if v and b are different prime integers, then which of the following is the smallest possible value of d?
(A) 36
(B) 40
(C) 45
(D) 50
(E) 55
Rationale: d dollars = 6 pounds = 6v vats = 6vb bowls
bowl = d/(6vb).=> d/(6vb) is an integer
=> v and b are different primes
d/(6vb)=d/(6*2*3)=d/36
integer (d min is for min values of v and b, so for 2 and 3). Hence min value => 36.
Answer: A
Answer: (A) 36
Question: If the numbers 1 to 98 are written on 98 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
(A) 1/50
(B) 1/25
(C) 1/98
(D) 1
(E) 2
Rationale: There are 25 primes, 72 composite numbers from 1 to 98. The number
which is neither prime nor composite is 1.
Therefore, required probability = 1/98.
ANSWER:C
Answer: (C) 1/98
Question: The captain of a cricket team of 11 members is 25 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
(A) 20 years
(B) 21 years
(C) 22 years
(D) 23 years
(E) 24 years
Rationale: Explanation:
Let the average age of the whole team by x years.
11x â€“ (25 + 28) = 9(x -1)
11x â€“ 9x = 44
2x = 44
x = 22.
So, average age of the team is 22 years.
Answer C
Answer: (C) 22 years
Question: A boat can move upstream at 25 kmph and downstream at 40 kmph, then the speed of the current is?
(A) 5
(B) 6
(C) 7
(D) 7.5
(E) 32
Rationale: US = 25
DS = 40
M = (40 - 25)/2 = 7.5
Answer: D
Answer: (D) 7.5
Question: Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature R in that particular month?
Mean Temp (C°) No. of days
29 --------------------> 5
30 --------------------> 11
31 --------------------> 8
32 --------------------> 6
(A) 29
(B) 30
(C) 30.5
(D) 31
(E) 32
Rationale: to find out median===>they must be arranged in ascending order.
29 29 29...(5 times)30 30 30 30.....(11 times)31 31 31.....(8 times)32 32 32 .....(6 times)
total days=5+11+8+6=30
therefore 30 numbers ...median R will be==>mean of 15 and 16 th place temperature===>(30+30)/2=30
hence B
Answer: (B) 30
Question: In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores B earned to the total amount store A earned?
(A) 3:1
(B) 2:3.
(C) 1:3.
(D) 3:4.
(E) 2:5.
Rationale: 1st statement : ratio of pants
Store A : Store B
10x : 40x
X:4X
Price :
4y:3y
Total revenue
4xy : 12xy
3:1
Answer : A
Answer: (A) 3:1
Question: The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
(A) Rs.849.40
(B) Rs.877.40
(C) Rs.901.60
(D) Rs.815.20
(E) None of these
Rationale: Let the costs of each kg of apples and each kg of rice be Rs.a and Rs.r respectively.
10a = 24r and 6 * 20.50 = 2r
a = 12/5 r and r = 61.5
a = 147.6
Required total cost = 4 * 147.6 + 3 * 61.5 + 5 * 20.5
= 590.4 + 184.5 + 102.5 = Rs.877.40
ANSWER:B
Answer: (B) Rs.877.40
Question: A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country Z. If calls to country Z are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country Z in a certain month?
(A) $8.75
(B) $12
(C) $13.40
(D) $17.40
(E) $24.40
Rationale: Discount = 40% of spending
We want to maximise discount so we will need to maximise spending. We do that by assuming that 60 calls were made of 1 min each because the first minute is the most expensive.
Max discount = (40/100)* 60 * 1.6 = (40/100)*96
This would be slightly less than 40. About 38 to 39.
Saving = (Slightly less than 40) - 25 = Slightly less than 15 charged in Z country
Answer (C)
Answer: (C) $13.40
Question: A circular rim 28 inches in a diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes E revilutions per second, how many revilutions per minute does the larger rim makes in terms of E?
(A) a) 48pi/E
(B) b) 75m
(C) c) 48E
(D) d) 24E
(E) e) E/75
Rationale: distance covered by a circular wheel per sec* = 2*pi* r * n
where n is number of revolution
So we know the smaller rim makes E rev per sec so the inches coverd SR per sec = 28 * pi* E
the problem the say SR rotates the same number of inches as the LR.
The inches covered by the LR per sec = 35 * pi*Y
So equate both u will get Y = 4/5 E
Theis is in sec we need the answer in min so 48E
answer is C
Answer: (C) c) 48E
Question: Let the polynomials be:
P1(x)=3x2−7x+6,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)=
(A) 2x2 + 11x - 7
(B) -2x2 - 11x + 8
(C) -2x2 - 11x + 6
(D) 2x2 - 9x + 7
(E) None of these
Rationale: Solution:
P1(x)+P2(x)=(3x2−7x+6)+(−5x2−4x+2)=P1(x)+P2(x)=(3x2−7x+6)+(−5x2−4x+2)=
3x2−7x+6−5x2−4x+2=3x2−7x+6−5x2−4x+2=
−2x2−11x+8
Answer B
Answer: (B) -2x2 - 11x + 8
Question: At a certain supplier, a machine of type A costs $30,000 and a machine of type B costs $65,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
(A) $6,600
(B) $11,200
(C) $12,000
(D) $12,800
(E) $13,200
Rationale: Total Cost of 2 Machines of Type A
= 20% of (Cost of 2 machine A) + remainder + 40 % remainder
= 20% of 30000 + (30000 - 20% of 30000) + 40% of (30000 - 20% of 30000)
= 79200
Total Cost of 1 Machine of Type B
= 20% of (Cost of 1 machine B) + remainder + 40 % remainder
= 20% of 65000 + (65000 - 20% of 65000) + 40% of (65000 - 20% of 65000)
= 85800
Diff = 85800 - 79200 = 6600
Hence, A.
Answer: (A) $6,600
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 56 years now, the son's age five years back was:
(A) A)14
(B) B)67
(C) C)56
(D) D)89
(E) E)23
Rationale: Let the son's present age be x years. Then, (56 - x) = x
2x = 56.
x = 28.
Son's age 5 years back (28 - 5) = 23 years.
Answer:E
Answer: (E) E)23
Question: John and Rose play the following game with n sticks on a table. Each must remove 1,2,3,4, or 5 sticks at a time on alternate turns, and no stick that is removed is put back on the table. The one who removes the last stick (or sticks) from the table wins. If John goes first, which of the following is a value of n such that Rose can always win no matter how John plays?
(A) 7
(B) 10
(C) 11
(D) 12
(E) 16
Rationale: If the number of sticks on a table is a multiple of 6, then the second player will win in any case (well if the player is smart enough).
Consider n=6, no matter how many sticks will be removed by the first player (1, 2, 3 ,4 or 5), the rest (5, 4, 3, 2, or 1) can be removed by the second one.
The same for n=12: no matter how many sticks will be removed by the first player 1, 2, 3 ,4 or 5, the second one can remove 5, 4, 3, 2, or 1 so that to leave 6 sticks on the table and we are back to the case we discussed above.
Answer: D.
Answer: (D) 12
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.1 km long?
(A) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 156 sec
(D) 134 sec
(E) 2 mins 44 sec
Rationale: D = 25 * 60 + 1100 = 2600 m
T = 2600/60 * 18/5 = 156 sec
ANSWER:C
Answer: (C) 156 sec
Question: 5: 3 = 4/3: x. The value of x is?
(A) 1
(B) 2
(C) 3
(D) 4/5
(E) 5
Rationale: x * 5 = 3 * 4/3
x *5= 4
x=4/5
ANSWER:D
Answer: (D) 4/5
Question: In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.72 per kg?
(A) 6:1
(B) 4:7
(C) 3:7
(D) 9:5
(E) 9:8
Rationale: (96-72)/(72-68)=24/4=6/1
ANSWER:A
Answer: (A) 6:1
Question: A certain sum of money doubles itself in 20 years in how much many years will it trible itself at the same rate?
(A) 20 years
(B) 76 years
(C) 88 years
(D) 40 years
(E) 11 years
Rationale: 100 ---- 100 --- 20
100 --- 20
--------------------
300 ---- 40 years
Answer: D
Answer: (D) 40 years
Question: A train is running at a speed of 40 km/hr and it crosses a post in 22.5 seconds. What is the length of the train?
(A) 190 metres
(B) 160 metres
(C) 200 metres
(D) 120 metres
(E) 250 metres
Rationale: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s
Time taken to cross, t = 22.5 s
Distance Covered, d = vt = (400/36)Ã— 22.5 = 250 m
Distance covered is equal to the length of the train = 250 m
Correct answer is 250 metres
E
Answer: (E) 250 metres
Question: Which of the following must be an integer if the integer x is divisible by both 27 and 21?
(A) x/252
(B) x/189
(C) x/126
(D) x/108
(E) x/89
Rationale: the integer has to be multiple of LCM of 27 and 21, which is 189..
so x/126 will be an integer
ans E
Answer: (E) x/89
Question: In how many ways can live 2boys and 4 girls sit in a row such that all boys sit together?
(A) 240
(B) 120
(C) 150
(D) 720
(E) 165
Rationale: Treat all boys as one unit. Now there are four students and they can be arranged in 5! ways. Again five boys can be arranged among themselves in 2! ways.
Required number of arrangements
= 5! * 2! = 240
Answer: A
Answer: (A) 240
Question: David decides to attend a base ball game with six friends. If the party of seven sits together in seven consecutive seats, and David must NOT sit in between two of his friends, how many ways can the seven friends be arranged?
(A) 360
(B) 180
(C) 90
(D) 720
(E) 1440
Rationale: David have to sit at either of the ends.
If David sits on the left most corner, then other 6 friends can be arranged in 6! = 720
David can also sit on the other end, then another 6! ways we can arrange.
So total number of ways = 720+720 = 1440
Answer : E
Answer: (E) 1440
Question: A, B and C enter into a partnership. They invest Rs. 80,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
(A) 6 : 4 : 8
(B) 6 : 4 : 7
(C) 6 : 4 : 2
(D) 6 : 4 : 1
(E) 6 : 4 : 5
Rationale: A : B : C = (80000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)
= 288 : 192 : 336
= 6 : 4 : 7.
Answer: B
Answer: (B) 6 : 4 : 7
Question: Two trains are running at 40 km/h and 20 km/h respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
(A) 23 m
(B) 23 2⁄9 m
(C) 27 m
(D) 27 7⁄9 m
(E) None of these
Rationale: Relative speed = (40 – 20) km/h
= (20 × 5⁄18) m/sec = (50⁄9) m/sec
Length of faster train
= (50⁄9 × 5) m = 250⁄9m = 277⁄9 m
Answer D
Answer: (D) 27 7⁄9 m
Question: 131,95,70,54, ?
(A) 42
(B) 45
(C) 44
(D) 40
(E) 39
Rationale: 131 - 95 = 36 = 6^2
95 - 70 = 25 = 5^2
70 - 54 = 16 = 4^2
so we can write
54 - x = 09 = 3^2 , where x is the next number
x = 54 - 9 = 45
so the next number will be 45
ANSWER:B
Answer: (B) 45
Question: Ram buys a plot of 5200 sq. ft. The cost of the Plot is Rs.48 per sq. ft.He has to pay 17% of the total cost as the booking cost for the plot.How much he has to pay as booking cost?
(A) Rs.42432
(B) Rs.42436
(C) Rs. 42518
(D) Rs. 42560
(E) Rs. 52560
Rationale: 5200*48*17/100=42432
ANSWER:A
Answer: (A) Rs.42432
Question: A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house?
(A) $234,000
(B) $227,000
(C) $148,000
(D) $479,000
(E) $337,000
Rationale: 6% x = 8,880 : x = selling price of house.
x = $148,000 : solve for x
correct answer C.
Answer: (C) $148,000
Question: If w = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =
(A) -2
(B) -1
(C) 0
(D) 2
(E) None of the above
Rationale: Let us transform the formula:
w = (x – 5)² + (x +1)² – 6 =
x² – 10x + 25 + x² + 2x + 1 – 6 =
2x² – 8x + 20 = 2 × (x² – 4x + 10) =
2 × ((x² – 4x + 4) + 6) =
2 × ((x – 2)² + 6)
Any square is greater or equal 0. Therefore the formula possess the least value when (x – 2)² = 0.
x – 2 = 0
x = 2
The correct answer is choice (D).
Answer: (D) 2
Question: What annual instalment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?
(A) Rs.325
(B) Rs.545
(C) Rs.560
(D) Rs.550
(E) Rs.450
Rationale: Let each instalment be Rs.x .
1st year = [x + (x * 12 * 2)/100]
2nd year = [ x + (x *12 * 1)/100]
3rd year = x
Then, [x + (x * 12 * 2)/100] + [ x + (x *12 * 1)/100] + x =1092
3x + ( 24x/100 ) + ( 12x/100 ) = 1092
336x =109200
x = 325
Each instalment = Rs. 325 Answer: A
Answer: (A) Rs.325
Question: If a real number x is chosen at random in the interval [0,4] and a real number y is chosen at random in the interval [0,5], what is the probability that x < y?
(A) 3/5
(B) 2/5
(C) 7/10
(D) 3/4
(E) 2/3
Rationale: Since x is in [0,4] and y is in [0,5] we can draw a rectangle in the coordinate plane with vertices (0, 0), (4, 0), (0, 5), and (4, 5).
The points above the line y=x satisfy x < y.
The part of the rectangle below y=x has an area of 8.
The whole rectangle has an area of 20.
P(x < y) = (20-8)/20 = 12/20 = 3/5
The answer is A.
Answer: (A) 3/5
Question: List I: 3, 4, 6, 19
List II: x, 3,4, 6, 19
(A)  6
(B)  7
(C)  8
(D)  9
(E) 5
Rationale: We start by calculating the median of the numbers of list I: 3, 4, 6, 19. We see that the numbers in the list are in order already and, since we have an even number of numbers, the median is the average of the two middle numbers.
median = (4 + 6)/2
median = 10/2
median = 5
The median of list I is 7.
Looking at list II: x, 3, 4, 6, 19, we see that we have an odd number of terms. Thus, when the list is ordered from least to greatest the median must be the middle term. Since the medians of the two lists must be equal, we know that the median of list II must be 5 and therefore x is 5.
The answer is E.
Answer: (E) 5
Question: How many Books each of Volume 250 meter cube can be packed into a crate of volume 4500 meter cube
(A) 25
(B) cannot be determined
(C) 10
(D) 15
(E) 20
Rationale: Gud question with a simple concept.
In geo if we want to insert one shape into another we need to know the dimensions of the two shapes.
In above with volume given , we can come up with different shapes, so we cant know the answer
For ex :4500 m3 can be 450*10 or 45*100 or just 4500*1 we don't know , so we cant calculate
Answer : B
Answer: (B) cannot be determined
Question: If 8^x = 2^18, what is x?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: 2^3x= 2^18
3x=18, therefore x=6
Answer E
Answer: (E) 6
Question: A company has 15 managers and 75 associates. The 15 managers have an average salary of $60,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
(A) $35,000
(B) $45,000
(C) $55,000
(D) $65,000
(E) $75,000
Rationale: Another method is to get ratios
Say 30000=a and
We know the # of people are in 1:5 ratio
Average=(2a*1+a*5)/6= 7a/6=35000
Answer is A. $35,000
Answer: (A) $35,000
Question: If p=n-8 , m=n+10; then in terms of p,m is ?
(A) m= p+8
(B) m= p+18
(C) m= p-18
(D) m= p-8
(E) m= p+1
Rationale: p = n-8
That is,n = p+8.
Therefore,
m = n+10
m= p+8+10
m= p+18
ANSWER:B
Answer: (B) m= p+18
Question: When asked what the time is,a person answered that the amount of time left is 2/6 of the time already completed.what is the time.
(A) 2 PM
(B) 9 PM
(C) 3 PM
(D) 6 PM
(E) 7 PM
Rationale: A day has 24 hrs. Assume x hours have passed. Remaining time is (24 - x)
24−x=2/6x⇒x=18
Time is 6 PM
Answer:D
Answer: (D) 6 PM
Question: Linda spent 2/4 of her savings on furniture and the rest on a TV. If the TV cost her $300, what were her original savings?
(A) $900
(B) $300
(C) $600
(D) $700
(E) $800
Rationale: If Linda spent 3/4 of her savings on furnitute, the rest
4 / 4 - 2 / 4 = 1 / 2 on a TV
But the TV cost her $300. So 1 / 2 of her savings is $300. So her original savings are 2 times $300 = $600
correct answer C
Answer: (C) $600
Question: 617 + 6.017 + 0.617 + 6.0017 = ?
(A) 62.96357
(B) 62963.57
(C) 62.96357
(D) 629.6357
(E) None of these
Rationale: Option D
Answer: (D) 629.6357
Question: All the stocks on the over-the-counter market are designated by either a 2 letter or 3 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
(A) 2(26^5)
(B) 26(26^4)
(C) 27(26^2)
(D) 26(26^5)
(E) 27(26^5)
Rationale: with 2 letters: 26^2
with 3 letters: 26^3
26^2 + 26^3 = 27*(26^2)
C
Answer: (C) 27(26^2)
Question: The simple interest on Rs.13000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.
(A) 3052.82
(B) 3039.89
(C) 3052.85
(D) 3039.51
(E) 3039.82
Rationale: R = 100 I / PT
=> R = (100 * 7200)/ (13000 * 5) = 11.07%
CI = P{ [1 + R /100]n - 1}
= 13000 { [ 1 + 11.07 / 100]^2 - 1} = Rs.3039.51
Answer:D
Answer: (D) 3039.51
Question: If x^2 + 1/x^2 = 3,what is the value of x^4 + 1/x^4 ?
(A) 7
(B) 12
(C) 14
(D) 16
(E) 18
Rationale: IMPORTANT: I notice that if we SQUARE x², we get x⁴, and if we SQUARE 1/x², we get 1/x⁴, so let's see what happens if we take the equation x² + 1/x² = 3 andSQUAREboth sides:
(x² + 1/x²)²= 9
So, (x² + 1/x²)(x² + 1/x²) = 9
Expand to get: x⁴ + 1 + 1 + 1/x⁴ = 9
Simplify: x⁴ + 1/x⁴ = 7
Answer: A
Answer: (A) 7
Question: The value of x + x(xx) when x = 2
(A)  10
(B)  16
(C)  18
(D)  36
(E)  64
Rationale: x + x(xx)
Put the value of x = 2 in the above expression we get,
2 + 2(22)
= 2 + 2(2 × 2)
= 2 + 2(4)
= 2 + 8
= 10 The answer is (A)
Answer: (A)  10
Question: A software programmer does 20% of the work in 60% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of code were written in the last two weeks, in terms of X?
(A) 13x /15
(B) 15x/15
(C) 7x/15
(D) 2x/30
(E) 13x/30
Rationale: Take X=30 lines
80% of 30 = 24 lines
20% of 30 = 6 lines
W - R - T
6 lines - r1 - 24 (first 80% of the 30 days)
24 lines - r2 - 6 ( last 20% of the 20 days)
r1 = 1/4r2 = 4
Now Work in last 14 days = 6 days programmer worked at r2 + 8days programmer worked at r1
=> 6 * 4 + 8 * 1/4 = 24 + 2 = 26
Insert, X=30 in all options => D is the answer.
Answer: (D) 2x/30
Question: Find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm.
(A) 370 cm2
(B) 365 cm2
(C) 380 cm2
(D) 384 cm2
(E) 394 cm2
Rationale: Explanation: Let other diagonal = 2x cm.
Since diagonals of a rhombus bisect each other at right angles, we have:
(20)2 = (12)2 + (x)2 =>x =√(20)2 – (12)2= √256= 16 cm. _I
So, other diagonal = 32 cm.
Area of rhombus = (1/2) x (Product of diagonals) =(1/2× 24 x 32) cm2 = 384 cm2
Answer: Option D
Answer: (D) 384 cm2
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
(A) 3
(B) 7
(C) 4
(D) 9
(E) 2
Rationale: M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3
Answer: A
Answer: (A) 3
Question: The value of x + x(xx) when x = 7 is:
(A) 8
(B) 10
(C) 350
(D) 14
(E) 16
Rationale: x + x(xx)
Put the value of x = 7 in the above expression we get,
7 + 7(7*7)
= 350
ANSWER : (C
Answer: (C) 350
Question: A 4-letter code word consists of letters A, B. If the code includes all the three letters, how many such codes are possible?
(A) 72
(B) 12
(C) 36
(D) 24
(E) 18
Rationale: Note that the correct answer to this question is 36, not 72.
AB-AB can be arranged in 4!/2!=12 ways;;
Total: 12.
Answer: B.
Answer: (B) 12
Question: A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
(A) 25 days
(B) 14 days
(C) 24 days
(D) 145 days
(E) 78 days
Rationale: 2c =1/4 + 1/6 – 1/3 = 1/12
c = 1/24 => 24 days
Answer: C
Answer: (C) 24 days