mathewhe/aqua_rat huggingface dataset:
Question: There are 17 students in a certain class. On the day the test was given, Taqeesha was absent. The other 16 students took the test, and their average was 77. The next day, Taqeesha took the test, and with her grade included, the new average is 78. What is Taqeesha’s grade on the test?
(A) 78
(B) 80
(C) 87
(D) 91
(E) 94
Rationale: Explanations
1) The average of the first 16 students is 77. This means, the sum of these 16 scores is
sum = (average)*(number of scores) = 77*16 = 1232
Once Taqeesha takes her test, the average of all 17 scores is 78. This means, the sum of these 17 scores is:
sum = (average)*(number of scores) =78*17 = 1326
Once we had the sum of the 16 scores, all we had to do was add Taqeesha’s score to that total to get the sum of all 17. Therefore, the difference in these two sums is Taqeesha’s score. 1326 – 1232 = 94.
Answer: E.
Answer: (E) 94
Question: A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 78 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
(A) 2000
(B) 2600
(C) 2200
(D) 2300
(E) 2400
Rationale: 1 percent for 3 years= 78
1 percent for 1 year = 26
=> 100 percent = 2600
ANSWER:B
Answer: (B) 2600
Question: Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
(A) 22877
(B) 5355
(C) 2778
(D) 6787
(E) 1771
Rationale: Let the sum lent by Manoj to Ramu be Rs.P.
Amount gained by Manoj = P. 3.9 /100 = 3450.3.6/100 = Rs.824.85
27P = 62100 = 82485
P = (82485 + 62100)/27 = 3055 + 2300 = Rs.5355
Answer: B
Answer: (B) 5355
Question: On a certain date, Pat invested $8,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $32,000, in how many years total will the total value of the investment plus interest increase to $64,000?
(A) 15
(B) 16
(C) 18
(D) 20
(E) 24
Rationale: 32,000 = 8,000(1 + x)^10
4 = (1+x)^10 = 2^2
(1+x)^10 = ((1+x)^5)^2 = 2^2
Therefore, (1+x)^5 = 2
64,000 = 8,000(1 + x)^n
(1+x)^n = 8
(1+x)^n = 2^3
(1+x)^n = ((1+x)^5)^3 = (1+x)^15
Therefore, n = 15.
The answer is A.
Answer: (A) 15
Question: 39x7 - 45x7 - 134x7 - 39x7 + 134x7 + 44x7 =
(A) -x7
(B) x7
(C) 2x7
(D) 3x7
(E) None
Rationale: Solution:
39x7 - 45x7 - 134x7 - 39x7 + 134x7 + 44x7 =
39x7 - 39x7 - 45x7 + 44x7 - 134x7 + 134x7=
0 - x7 + 0= -x7
Answer A
Answer: (A) -x7
Question: If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/3 and f(ab) = 1/6 then b= ?
(A) 2
(B) 1/2
(C) -1/2
(D) -2
(E) -12
Rationale: f(a) = -1/3 = -1/a, and thus a = 3
f(ab) = 1/6, and thus ab = -6
3b = -6
b = -2
The answer is D.
Answer: (D) -2
Question: 270 students appeared for an examination, of which 252 passed. What is the pass percentage?
(A) 93(1/3)%
(B) 93(2/3)%
(C) 92(2/3)%
(D) 92%
(E) None of these
Rationale: Explanation :
Pass percentage = (252/270) × 100 = 2520/27 = 280/3 = 93(1/3)%
Answer : Option A
Answer: (A) 93(1/3)%
Question: Nicky and Cristina are running a 100 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
(A) 30
(B) 35
(C) 40
(D) 25
(E) 60
Rationale: The distance traveled by both of them is the same at the time of overtaking.
3(t+12) = 5t
t=18.
Cristina will catch up Nicky in 18 seconds.
So in 18 seconds Cristina would cover = 18*5 = 90 meter.
Now Time taken my Nicky to cover 90 meter = 90/3 = 30 Seconds.
A
Answer: (A) 30
Question: Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many W women are currently in the room?
(A) 12
(B) 14
(C) 15
(D) 24
(E) 36
Rationale: the number of women doubled means that they have become 24 from 12..
and we have to tell the current strength so 24 is the answer..
let the number be 4x and 5x..
given 4x+2=14.. so x=3..
women number=5*3-3=12, then doubled=24..
ans D
Answer: (D) 24
Question: The average weight of a 30 students increases by 2 kg when the weight of their teacher was added. If average weight of the group after including the weight of the teacher is 32 kg, what is the weight of their football coach?
(A) 31 kg
(B) 60 kg
(C) 61 kg
(D) 124 kg
(E) 91 kg
Rationale: let t=teacher's weight
original total weight=(30 students)(30 kg avge)=900kg
(900+t)/(30+2)=32 kg avge
t=124 kg
Answer D
Answer: (D) 124 kg
Question: The number of timeshare condos available at Sunset Beach is 3/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 320, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?
(A) 80
(B) 90
(C) 120
(D) 150
(E) 240
Rationale: Let x be the number of timeshare condos available at Playa del Mar.
Then number of timeshare condos available at Sunset Beach = 3/5x
We know, x + 3/5 x = 320
Hence, x = 200. So, number of timeshare condos available at Playa del Mar = 200
the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar = x - 3/5x = 2/5x = 2/5(200) = 80
The correct answer is A.
Answer: (A) 80
Question: Truck A is 25 miles ahead of Truck B, which is traveling the same direction along the same route as Truck A. If Truck A is traveling at an average speed of 49 miles per hour and Truck B is traveling at an average speed of 54 miles per hour, how long will it take Truck B to overtake and drive 15 miles ahead of Truck A?
(A) 2 hours 20 minutes
(B) 6 hours
(C) 8 hours
(D) 5 hours 45 minutes
(E) 3 hours
Rationale: Relative speed = 54-49 = 5 miles per hour
Dist required = 25+15 = 40 miles
Time taken to overtake = 40/5 = 8 hours. C is the answer.
Answer: (C) 8 hours
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
(A) 8
(B) 7
(C) 6
(D) 4
(E) 3
Rationale: SP of first article = 1000
Profit = 20%
CP = (SP)*[100/(100+P)] = 5000/6 = 2500/3
SP of second article = 1000
Loss = 20%
CP = (SP)*[100/(100-L)] = 5000/4 = 1250
Total SP = 2000
Total CP = 2500/3 + 1250 = 6250/3
CP is more than SP, he makes a loss.
Loss = CP-SP = (6250/3)- 2000 = 250/3
Loss Percent = [(250/3)/(6250/3)]*100 =
0.04 * 100 = 4%
Answer: D
Answer: (D) 4
Question: A 260-metre-long train crosses a 120-metre-long wall in 19 seconds. What is the speed of the train?
(A) 27 km/hr
(B) 49 km/hr
(C) 72 km/hr
(D) 70 km/hr
(E) None of these
Rationale: Speed of train = 260+120/19×18/5=72km/h
Answer C
Answer: (C) 72 km/hr
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
(A) 1666
(B) 2688
(C) 1198
(D) 1000
(E) 2321
Rationale: (x*5*1)/100 + [(2500 - x)*6*1]/100 = 140
X = 1000
Answer:D
Answer: (D) 1000
Question: If x^2=x-2, then x^3=?
(A) 3x+2
(B) 3x-2
(C) 2x+1
(D) -x-2
(E) 3x+4
Rationale: Given X^2 = X-2
X^3 = X*X^2 = x*(X-2)-- Substituted from above.
= X^2 - 2X = X-2-2X = -X-2.
Hence D.
Answer: (D) -x-2
Question: If 8 people can eat a gallon of ice cream in 10 days, how long would it take 5 people to eat a gallon of ice cream?
(A) 12 days
(B) 14 days
(C) 16 days
(D) 18 days
(E) 20 days
Rationale: 8 * 10 = 5 * x
x = 16
Answer: C
Answer: (C) 16 days
Question: Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is
(A) 8
(B) 10
(C) 11
(D) 13
(E) 14
Rationale: 3/11 × [(1 + 1/3) (1 + 1/4) ....... (1 + 1/120)]
3/11 × [4/3 + 5/4 × ........ 121/120]
3/11 × 4/3 × 5/4 × .... 121/120
121/11 = 11.
C
Answer: (C) 11
Question: If -2<= x <= 2 and 3 <= y <= 4, which of the following represents the range of all possible values of y-x?
(A)  1 <= y-x <= 6
(B)  1 <= y-x <= 5
(C)  1 <= y-x <= 6
(D)  5 <= y-x <= 10
(E)  1 <= y-x <= 10
Rationale: Maximum value of y-x= 4 - (-2)= 6
Minimum value of y-x= 3-2= 1
A mentions the correct range
Answer: (A)  1 <= y-x <= 6
Question: A chair is bought for Rs.600/- and sold at a loss of 50% find its selling price
(A) s.300/-
(B) s.550/-
(C) s.560/-
(D) s.590/-
(E) s.580/-
Rationale: 100 % ------> 600 (100 * 6 = 600)
50 % ------> 540 (50 * 6 = 300)
Selling price = Rs.300/-
A)
Answer: (A) s.300/-
Question: 16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B ?
(A) 233/3
(B) 733/3
(C) 533/3
(D) 293/3
(E) 433/3
Rationale: Explanation:
Required average = [(76 * 16) - (75 * 10)] / 6 = (1216 - 750)/6 = 466/3 = 233 /3.
Answer: A
Answer: (A) 233/3
Question: Three table runners have a combined area of 204 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
(A)  18 square inches
(B)  20 square inches
(C)  24 square inches
(D)  28 square inches
(E)  30 square inches
Rationale: Total = a + b + c - (sum of EXACTLY 2-group overlaps) - 2*(all three) + Neither
80%*175 = 204 - 24 - 2*(all three) + 0
2*(all three) = 204 - 24 - 140
all three = 20
Answer: B
Answer: (B)  20 square inches
Question: What is the sum of all the prime numbers greater than 50 but less than 70?
(A) 249
(B) 248
(C) 246
(D) 240
(E) 241
Rationale: Required sum = (53 + 59 + 61 + 67 ) = 240
Note: 1 is not a prime number
Answer D
Answer: (D) 240
Question: How many positive three-digit integers are divisible by both 5 and 7?
(A) 10
(B) 15
(C) 18
(D) 20
(E) 26
Rationale: A number to be divisible by both 5 and 7 should be divisible by the least common multiple of 5 and 7 so by 35.
Multiples of 35 between 100 and 999, inclusive is
(last-first)/multiple+1=(980-105)/35+1=25+1=26
Answer: E.
Answer: (E) 26
Question: If x = 6^36 and x^x = 6^k, what is k?
(A) 6^36
(B) 6^38
(C) 6^72
(D) 6^216
(E) 6^432
Rationale: Solution:
We know that x=6^36
which implies x^x = (6^36)^(6^36) = 6^(36 * 6^36) [because (x^y)^z = x^(y*z))]
so 6^(6^2 * 6^36) = 6^(6^(2+36)) [because x^a * x^b = x^(a+b)]
therefore x^x = 6^(6^38)
Given that x^x=6^k
so 6^(6^38) = 6^k
Since the base is same the exponent will also be same
therefore k = 6^38
Answer:B
Answer: (B) 6^38
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
(A) 1/26
(B) 1/27
(C) 1/24
(D) 1/21
(E) 1/22
Rationale: Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king .
P(E1 ∩ E2) = P(E1) . P(E2)
(As E1 and E2 are independent)
= 1/2 * 1/13 = 1/26
Answer: A
Answer: (A) 1/26
Question: Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 36?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
(A) 5x = y - 6
(B) 75x^2 = 3y^2 - 12
(C) 25x^2 = (y + 2)(y - 2)
(D) 5x = y - 2
(E) x^2 = (y^2 - 4)/25
Rationale: 1) Take the original equation and try to manipulate it so that it becomes 4 of the 5 answers
2) Take each answer choice and see if you can manipulate it to make it into the original equation.
With Answer D, we have...
5X = Y - 6
If we square both sides, we end up with....
(5X)^2 = (Y-6)^2
(5X)(5X) = (Y-6)(Y-6)
25X^2 = Y^2 - 12Y + 36
This is NOT a match for the original equation, so it's the answer that is NOT equivalent.A
Answer: (A) 5x = y - 6
Question: If m is an integer such that (-2)^2m=2^(6-m) then m=?
(A) 1
(B) 2
(C) 3
(D) 5
(E) 6
Rationale: (-2)^(2m) = 4^m
and
2^(6-m) = 4^((6-m)/2)
Therefore,
m = (6-m)/2
2m = 6 - m
m = 2
Answer B
Answer: (B) 2
Question: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
(A) 7
(B) 4
(C) 5
(D) 3
(E) 1
Rationale: Explanation:
P(1 + 20/100)n > 2P or (6/5)n > 2
Now, (6/5 * 6/5 * 6/5 * 6/5) > 2. So, n = 4 years.
Answer:B
Answer: (B) 4
Question: What Is The Smallest Positive Integer That Leaves A Remainder Of 1 When Divided By 2, Remainder Of 2 When Divided By 3, A Remainder Of 3 When Divided By 4, And A Remainder Of 9 When Divided By 10?
(A) 58
(B) 59
(C) 60
(D) 61
(E) 62
Rationale: remainder of 1 when divided by 2: (2-1=1)
remainder of 2 when divided by 3: (3-2=1)
remainder of 3 when divided by 4: (4-3=1)
remainder of 9 when divided by 10: (2-1=1)
so N+1 should be divisible by 2,3,4,10
(where N is desired number)
L.C.M. of 2,3,4,10 = 60 (= N+1)
N = 59
ANSWER:B
Answer: (B) 59
Question: Of the four numbers, whose average is 100, the first is one-fourth of the sum of the last three. The first number is ?
(A) 28
(B) 29
(C) 80
(D) 48
(E) 10
Rationale: Explanation:
Let the first number be x,
Then, sum of the four numbers = x + 4x = 5x.
so, 5x/4 = 100 or x = (100 * 4) / 5 = 80
Answer: C
Answer: (C) 80
Question: If the mobile is bought by rs 490 and sold by rs 465.50.find loss%.
(A) 3%
(B) 2%
(C) 7%
(D) 5%
(E) 9%
Rationale: sol. cp=rs490,sp= 465.50.
loss=rs(490-465.50)=rs 24.50.
loss%=[(24.50/490)*100]%=5%
Ans:D
Answer: (D) 5%
Question: Suppose 6 monkeys take 6 minutes to eat 6 bananas. How many monkeys would it take to eat 18 bananas in 18 minutes?
(A) 9
(B) 10
(C) 11
(D) 6
(E) 13
Rationale: One monkey takes 6 min to eat 1 banana , so in 18 mins 1 monkey will eat 3 bananas , so for 18 bananas in 18 min we need 18/3 =6 monkeys
ANSWER:D
Answer: (D) 6
Question: A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $5 per item. If the manufacturer’s selling price per item is $15, how many items the manufacturer produce and sell to earn an annual profit of $150,000?
(A) 2,858
(B) 18,667
(C) 28,000
(D) 35,000
(E) 40,000
Rationale: Let the items manufactured or sold bex
130000+5x = 15x-150000
10x = 280000
x = 28000
Ans:C
Answer: (C) 28,000
Question: The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 768 sq meters, then what is the width (in meters) of the rectangular plot?
(A) 24 m
(B) 16 m
(C) 35 m
(D) 54 m
(E) 43 m
Rationale: Area = L*W = 3W^2 = 768
W^2 = 256
W = 16
The answer is B.
Answer: (B) 16 m
Question: A bag with 100 kgs potatoes have 99% water. It is kept in the open under the sunlight. After sometime, little amount of water got evaporated and reduced to 98%. What is the weight now ?
(A) 40 kg
(B) 50 kg
(C) 60 kg
(D) 70 kg
(E) 80 kg
Rationale: let the reduced weight be x kg
(100-99)% of 100 kg = (100-98)% of x kg
1% of 100 = 2% of x
x = (1*100)/2 = 50 kg
ANSWER:B
Answer: (B) 50 kg
Question: A company can manufacture 1000 phones in a day. One-fifth of the phones produced are defective and one-quarter of all phones produced are rejected by quality control technician. If one-tenth of the nondefective phones are rejected by mistake, and if all the phones not rejected are sold, then what percent of the phones sold by the company are defective?
(A) 4%
(B) 16%
(C) 24%
(D) 2%
(E) 8%
Rationale: We have 20% defective and 80% non-defective; we have 25% rejected and 75% not rejected. We also know that 1/10 of the non-defective ones (8%) are rejected, so 72% sold. This means that we have 3% sold that are defective and 17% rejected that are defective. Overall, we have 3%/75% or 1 of every 25 that are sold (not rejected) and defective. Correct Answer is A
Answer: (A) 4%
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
(A) 540 km
(B) 760 km
(C) 900 km
(D) 600 km
(E) 340 km
Rationale: D
D = 30 * 5 = 150
RS = 40 – 30 = 10
T = 150/10 = 15
D = 40 * 15 = 600 km
Answer: (D) 600 km
Question: The unit digit in the product (784 x 618 x 917 x 463) is:
(A) 4
(B) 2
(C) 9
(D) 1
(E) 8
Rationale: Unit digit in the given product = Unit digit in (4 x 8 x 7 x 3) = (672) = 2
Answer B) 2.
Answer: (B) 2
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
(A) 1 kmph
(B) 4 kmph
(C) 5 kmph
(D) 7 kmph
(E) 8 kmph
Rationale: DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
Answer: A
Answer: (A) 1 kmph
Question: x is a positive integer of T less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
Rationale: Took me more than 2 mins to solve.
That's how I did it.
x is between 1-499 included.
Smallest number that can be written as 7n+1 (7*0+1) is 1
Largest number that can be written as 7n+1 is (7*71 +1) is 498
So there are total 72 numbers that can be written as 7n+1
Because x can also be written as 3m+2, we have to see how many numbers that can be written as 7n+1 also can be written as 3m+2
7*0+1 can not be written in the form 3m+2
7*1+1 can be written in the form 3m+2
7*2+1 can not be written in the form 3m+2
7*3+1 can not be written in the form 3m+2
7*4+1 can be written in the form 3m+2
Here we see a sequence that one out of every 4 numbers can be written as 3m+1
72/4= 24 numbers can be written as 3m+1
D is the answer
Answer: (D) 24
Question: Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 28km/hr, then find the area of square field.
(A) 125
(B) 225
(C) 325
(D) 441
(E) None of these
Rationale: Explanation :
D = 28*3/2 = 42 km. So side of square is 21km, so area – 441km^2
Answer – D
Answer: (D) 441
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
(A) 34
(B) 37
(C) 38
(D) 39
(E) 41
Rationale: Let the original number be 'a'
Let the divisor be 'd'
Let the quotient of the division of aa by dd be 'x'
Therefore, we can write the relation as a/d = x and the remainder is 24.
i.e., a=dx+24 When twice the original number is divided by d, 2a is divided by d.
We know that a=dx+24. Therefore, 2a = 2dx + 48
The problem states that (2dx+48)/d leaves a remainder of 11.
2dx2dx is perfectly divisible by d and will therefore, not leave a remainder.
The remainder of 11 was obtained by dividing 48 by d.
When 48 is divided by 37, the remainder that one will obtain is 11.
Hence, the divisor is 37.
B
Answer: (B) 37
Question: How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/51 ?
(A) 6
(B) 3
(C) 2
(D) 1
(E) 0
Rationale: a+b/ab=2/3
3=1*3 or 3*1
a+b in both case= 4
correct 0
ANSWER:E
Answer: (E) 0
Question: A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5.2 hours, then the distance covered at 40 kmph is
(A) 130 km
(B) 120km
(C) 100km
(D) 124km
(E) none of these
Rationale: Let the partial distance covered at 40 kmph be X
Let the another partial distance covered at 60 kmph be (250 - x)
Thus, x/40 - (250 - x)/60 = 5.2
or, x/40 + (250 - x)/60 = 5.2
or, (3x + 500 - 2x)//120 = 5.2
or 500 + x = 624
x=124
ANSWER:D
Answer: (D) 124km
Question: A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be
(A) 6
(B) 9
(C) 24
(D) 30
(E) 26
Rationale: Volume of block=(6x9x12)= 648cm3
Side of largest cube = H.C.F of 6,9,12 = 3cm
Volume of the cube=(3x3x3)=27cm3
Number of cubes=(648/27)=24 ANSWER : C
Answer: (C) 24
Question: In a class there are 19 boys and 10 girls. In how many ways can a boy and a girl be selected?
(A) 288
(B) 500
(C) 277
(D) 190
(E) 255
Rationale: We can select one boy from 19 boys in 19 ways.
We select one girl from 10 girls in 10 ways
We select a boy and girl in 19 * 10 ways i.e.,
= 190 ways.
Answer: D
Answer: (D) 190
Question: A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
(A) 16 2/6 %
(B) 16 6/3 %
(C) 19 2/3 %
(D) 16 3/3 %
(E) 16 2/3 %
Rationale: Let the pricipal be Rs. x, then amount = 3x(where R = rate of interest) => Interest = 3x - x = Rs. 2x
R = (100 * 2x)/(x * 12) = 50/3 % = 16 2/3 %
Answer: E
Answer: (E) 16 2/3 %
Question: What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?
(A) 2400
(B) 2592
(C) 2678
(D) 2540
(E) 2440
Rationale: Here P=1500, R=20% n=3 Find A
Substituting in the compound int. formula
A=P(1+R/100)^3, we get A=Rs.2,592
ANSWER:B
Answer: (B) 2592
Question: Find the average of all prime numbers between 10 and 30.
(A) 30
(B) 33.6
(C) 39.8
(D) 18.6
(E) None
Rationale: Sol.
There are six prime numbers between 10 and 30.
They are 11, 13, 17, 19, 23, 29
âˆ´ Required average = [11+ 13+ 17+19+ 23+ 29 / 6] = 112/ 6 = 18.6
Answer D
Answer: (D) 18.6
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 24 days. If 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last?
(A) 10
(B) 12
(C) 15
(D) 18
(E) 21
Rationale: 2 oxen = 3 buffaloes = 4 cows
Also: 15 buffaloes + 8 oxen + 24 cows
= 10 oxen + 8 oxen + 12 oxen = 30 oxen
There is enough fodder for 1 oxen for 30*24 days.
40 cows + 15 buffaloes = 20 oxen + 10 oxen = 30 oxen
The new total is equal to 60 oxen instead of 30 oxen.
30*24 / 60 oxen = 12 days
The answer is B.
Answer: (B) 12
Question: If x is an integer, and 100 < x^2 <= 361, which of the following is the sum of all possible values of x?
(A)  135
(B)  124
(C)  116
(D)  105
(E)  None of the above
Rationale: The range of x is from 9 .. to 19 and -9 to -19 so the sum is 0 hence ans E, I guess, unless I am missing something!
Answer: (E)  None of the above
Question: Simplify: 0.72*0.43+0.12*0.34
(A) 0.3504
(B) 0.4209
(C) 0.4889
(D) 0.6412
(E) 0.4612
Rationale: Given exp. = 0.72*0.43+(0.12*0.34) = 0.3096+0.0408 = 0.3504
Answer is A
Answer: (A) 0.3504
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish thrice the amount of work in ------- days?
(A) 21 ½ days
(B) 22 ½ days
(C) 33 3/4 days
(D) 12 ½ days
(E) None of these
Rationale: Explanation:
1/18 + 1/30 = 8/90 = 4/45
45/4 = 45/4 *3 = 33 3/4 days
Answer: C
Answer: (C) 33 3/4 days
Question: 54, 61, 57, 9, 55, 4, 9.
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
(A) 19
(B) 30
(C) 47
(D) 54
(E) 56
Rationale: Yes, it can be solved with observation even without approximation in 30 sec.
Just observe given numbers: 4,9, 9, 54, 55, 57,61,
Median is very easy to tell - its 55. Now we want a number lower than 54 and greater than mean. How many numbers are lower than 54? DE are already out.
Now, we have 19, 30 and 47 and we want a number among these which is greater than mean. logically whatever be the mean, if one value out of these 5 has to be greater than mean it has to be 47. (Notice, if 19 is more than mean then 47 is also. If 30 is more than mean, 47 is also. )
Hence C it is!
Answer: (C) 47
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
(A) 1: 8
(B) 1: 1
(C) 1: 9
(D) 1: 4
(E) 1: 3
Rationale: r1: r2 = 1: 3
Πr12: Πr22
r12: r22 = 1: 9
Answer:C
Answer: (C) 1: 9
Question: In one hour, a boat goes 21 km/hr along the stream and 11 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
(A) 12 kmph
(B) 13 kmph
(C) 14 kmph
(D) 15 kmph
(E) 16 kmph
Rationale: Explanation:
Let the speed downstream be a km/hr and the speed upstream be b km/hr, then
Speed in still water =1/2(a+b) km/hr
Rate of stream = 1/2(a−b) km/hr
Speed in still water = 1/2(21+11) kmph = 16 kmph.
Answer: Option E
Answer: (E) 16 kmph