mathewhe/aqua_rat huggingface dataset:
Question: How many positive integers less than 243 are multiple of 4 but NOT multiples of 6?
(A) 20
(B) 31
(C) 42
(D) 40
(E) 64
Rationale: 240/4=60
Multiples of 4 which are a multiple of 6 will be of the form 2*2*3=12n where n>0
240/12=20
60-20=40
Answer: D
Answer: (D) 40
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleble and there are 13 unsaleable mangoes in the crate then how msny mango are there in the crate?
(A) 100 mangoes
(B) 110 mangoes
(C) 120 mangoes
(D) 130 mangoes
(E) 125 mangoes
Rationale: 130 mangoes
ANSWER:D
Answer: (D) 130 mangoes
Question: The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent. This series of successive discounts is equivalent to a single discount of
(A) 20%
(B) 19%
(C) 18%
(D) 11%
(E) 10%
Rationale: Say the original price of the TV was $p, then the final price would be (0.9p)∗0.9=0.81p. Therefore the original price was discounted by 19%.
Answer: B.
Answer: (B) 19%
Question: Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
(A) 2/7
(B) 3/8
(C) 3/10
(D) 4/11
(E) 5/13
Rationale: Here, S = [1, 2, 3, 4, …., 19, 20]
Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18]
P (E) = n (E) / n (S) = 6 / 20 = 3/10
C
Answer: (C) 3/10
Question: For which of the following values of s is (50+s)/s an integer?
(A) 3
(B) 4
(C) 9
(D) 11
(E) 50
Rationale: For this entity to be an integer, 50 + s should be divisible by s
Option A: 53/3 - Not an Integer
Option B: 54/4 - Not an Integer
Option C: 59/9 - Not an integer
Option D: 61/11 - Not an integer
Option E - 100/50 - Integer
Correct Option: E
Answer: (E) 50
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
(A) Rs.9680
(B) Rs.9860
(C) Rs.9380
(D) Rs.9800
(E) None of these
Rationale: Explanation:
(8000*3*2)/100 = 480
9200
--------
9680
ANSWER IS A
Answer: (A) Rs.9680
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
(A) 8%
(B) 15%
(C) 45%
(D) 52%
(E) 56%
Rationale: First $20 million: royalties/sales ratio = 3/20 = 36/240
Next $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240
Answer: C
Answer: (C) 45%
Question: In how many different ways can change be provided for a one dollar bill using pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents), if at least two of each type of coin must be included?
(A) 0
(B) 6
(C) 8
(D) 10
(E) 15
Rationale: I. Case I = Four Quarters = this is impossible, because if we already have a dollar in quarters, then we cannot have any other coins. We cannot have all four coins represented if we have four quarters.
Case I does not allow any ways.
II. Case II = Three Quarters (75 cents)
This does not allow for two each of the other coins.
Case II does not allow any ways.
III. Case III = Two Quarters (50 cents)
This allows for 2-3 dimes.
Subcase 1 = 2 Q, 3 D (80 cents)
(2 ways) we could have 2-3 nickels
Subcase 2 = 2 Q, 2 D (70 cents)
(4 ways) we could have 2-5 nickels
Case III allows for a total of 6 ways
There's no other case, because we have to have at least two quarters and two dimes. The total over the cases equals
Total = 0 + 0+ 6 =6 ways.
OA =(B)
Answer: (B) 6
Question: What is the remainder when 570 is divided by 6?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 45
Rationale: Explanation:
52 = 25, on division by 6, the remainder is 1.
53 = 125, on division by 6, the remainder is 5.
54 = 625, on division by 6, the remainder is 1.
55 = 3125, on division by 6, the remainder is 5.
Hence, for 5 (2x) on division by 6, the remainder is 1, and for 5(2x-1) on division by 6, the remainder is 5.
Therefore, for 570, on division by 6, the remainder is 1.
ANSWER:A
Answer: (A) 1
Question: If the Valentine's Day in 2005 falls on Monday, then on which day will the Valentine's Day fall on 2010?
(A) Monday
(B) Tuesday
(C) SUNDAY
(D) Wednesday
(E) Friday
Rationale: each year have 365 days so 365/7 =1 remainder means there is one odd day in a year.... suppose there is sunday on 1 jan 2009 then on 1st jan 2010 there must be MONDAY...
on14 feb 2005 there was Monday
on14 feb 2006 there was Tuesday
on14 feb 2007 there was Wednesday
on14 feb 2008 there was Friday because this was leap year which contain2 odd days.
on14 feb 2009 there was Saturday
on14 feb 2010 there was SUNDAY.
ANSWER:C
Answer: (C) SUNDAY
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
(A) 277 m
(B) 166 m
(C) 175 m
(D) 677 m
(E) 776 m
Rationale: RS = 40 – 22 = 18 * 5/18 = 5 mps
T = 60 sec
D = 5 * 60 = 300 m
125
--------
175 m
Answer:C
Answer: (C) 175 m
Question: Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a five-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
(A) 3/5
(B) 5/6
(C) 4/5
(D) 3/4
(E) 2/3
Rationale: The number of possible subcommittees with Cara is 6C4=15.
The number of possible subcommittees with Cara and Dan is 5C3=10.
The fraction of Cara's subcommittees which include Dan is 10/15=2/3.
The answer is E.
Answer: (E) 2/3
Question: A shoemaker can make 10 shoes per day. One-fifth of the shoes produced are defective and one-quarter of all shoes produced are rejected. If one-tenth of the nondefective shoes are rejected by mistake, and if all the shoes not rejected are sold, then what percent of the shoes sold are defective?
(A) 1%
(B) 2%
(C) 3%
(D) 4%
(E) 5%
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 D
Answer: (D) 4%
Question: 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, (...)
(A) 53
(B) 47
(C) 48
(D) 59
(E) 71
Rationale: Explanation :
All are prime numbers in their order, starting from 23
Hence, next number is 71
Answer : E
Answer: (E) 71
Question: There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h?
(A) 300 km
(B) 320 km
(C) 370 km
(D) 430 km
(E) 450 km
Rationale: Sol. Speed of bus = 480/8 = 60km/ h
Speed of train = (60*4)/3=80 km / h
Speed of train : Speed of car = 16 : 15
Speed of car =80/16 * 15 = 75 km/ h
Distance covered by car in 6 hr = 75 × 6 = 450 km
E
Answer: (E) 450 km
Question: Set E consists of 19 elements. The average of set E is L. If a new element is added to the set and the average grows by K, what is the value of the new element?
(A) a) L(1 + K / 5)
(B) b) L * (K/100) - 20L
(C) c) 20L(1+K/100)
(D) d) 20(1+K/100)-19L
(E) e) L*(K/5)-19
Rationale: Let's assume the value of new element to bea. So converting the word problem into equation,
(19*L + a) / (19 + 1) = L + k ==> after solving the equation we will get a (value of newly added element) = L + 20K
But according to the answer options, problem writer wanted to conveyk% percent rise in average value.
If we consider this case than resulting equation will be,
(19*L + a) / ( 19+1 ) = L + (K/100)*L ==> 19L + a = 20 [ L + KL/100]
==> a= 20L + KL/5 -19L
==> a= L + KL/5 , which is equivalent to option [A]
Answer: (A) a) L(1 + K / 5)
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 10 percent, the weekly sales of this style increase by 40 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
(A) Revenue decreases by 10%
(B) Revenue decreases by 26%
(C) There is no change in revenue
(D) Revenue increases by 26%
(E) Revenue increases by 10%
Rationale: Old price = 10, old sales = 10 --> old revenue = 100;
New price = 9, new sales = 14 --> new revenue = 126.
Revenue increased by 26%.
Answer: D.
Answer: (D) Revenue increases by 26%
Question: A florist has 2 azaleas, 4 buttercups, and 6 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet?
(A) 1/2
(B) 2/3
(C) 7/11
(D) 17/33
(E) 37/66
Rationale: The probability that two of the same flowers were chosen:
P(AA) = 2/12 * 1/11 = 2/132
P(BB) = 4/12 * 3/11 = 12/132
P(PP) = 6/12 * 5/11 = 30/132
The sum of these probabilities is 1/3
P(two flowers are different) = 1 - 1/3 = 2/3
The answer is B.
Answer: (B) 2/3
Question: Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 40 pages per hour. Michelle begins reading a copy of the same book at 6: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?
(A) 7: 00 a.m.
(B) 12: 30 a.m.
(C) 7: 45 p.m.
(D) 8: 00 p.m.
(E) 8: 30 p.m.
Rationale: M gains 50-40=10 pages per hour on R
at 6pm R has read 60 pages and M is 60+5=65 pages behind him
time=65/10=6.5 hours
they are on the same page at 12:30 a.m.
B
Answer: (B) 12: 30 a.m.
Question: If 102y = 25, then 10-y equals ?
(A) 2/5
(B) 1/5
(C) 3/5
(D) 1/50
(E) 1/25
Rationale: 102y = 25
(10y)2 = 52
10y = 5
1/10y = 1/5
10-y = 1/5
Answer is B.
Answer: (B) 1/5
Question: A bag holds 4 red marbles and 5 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
(A) 1/10
(B) 1/6
(C) 3/10
(D) 2/5
(E) 1/4
Rationale: probability of selecting first red marble = 4/9
probability of selecting second red marble without replacement = 3/8
final probability = 4/9 * 3/8 = 1/6
The correct answer is B.
Answer: (B) 1/6
Question: A merchant has selected two items to be placed on sale, one of which currently sells for 40 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
(A) 40 %
(B) 50%
(C) 60%
(D) 30%
(E) 20%
Rationale: Expensive item = $100;
Cheap item = $60;
We must increase $60 to $100, so by $40, which is approximately 60% increase: (100-60)/60 = 2/3 = ~0.66.
Answer: C.
Answer: (C) 60%
Question: Speed of a boat in standing water is 7kmph and speed of the stream is 1.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?
(A) 32.44hours
(B) 31.44hours
(C) 30.44hours
(D) 29.44hours
(E) 28.44hours
Rationale: Speed upstream = 5.5kmph
Speed downstream = 8.5kmph
Total time taken = 105/5.5 + 105/8.5 = 31.44 hours
Answer is B
Answer: (B) 31.44hours
Question: A student gets 60% in one subject, 80% in the other. To get an overall of 75% how much should get in third subject.
(A) 75%
(B) 25%
(C) 85%
(D) 55%
(E) 65%
Rationale: Let the 3rd subject % = x
60+80+x = 3*75
140+x = 225
x = 225-140 = 85
Answer : C
Answer: (C) 85%
Question: The radius of the cylinder and cone are equal. find its volumes ratio
(A) 1:3
(B) 3:1
(C) 5:1
(D) 1:5
(E) None of them
Rationale: radius of the cylinder = radius of the cone
πr(power2)h = 1/3 πr(power2)h 1 : 1/3
3 : 1
Answer is B.
Answer: (B) 3:1
Question: Working alone, machine X can manufacture 1,000 nails in 20 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
(A) 3 9/17
(B) 5 1/3
(C) 7
(D) 7 1/5
(E) 6 2/3
Rationale: rate of machine x = 1000/20
(1000/20 + y)5=1000
y=150
150 * t = 1000
t=6 2/3
E. 6 2/3
Answer: (E) 6 2/3
Question: I. w-14, w, w, w, w+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
(A) I, II, III
(B) I, III, II
(C) II, III, I
(D) III, I, II
(E) III, II, I
Rationale: S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values of w or b, thus the S.D for the third set(III) has to be the minimum. Select the option which has III in the end.
A.
Answer: (A) I, II, III
Question: Find a sum for first 4 prime number'ss?
(A) 18
(B) 12
(C) 30
(D) 17
(E) 36
Rationale: Required sum = (2 + 3 + 5 + 7) = 17
Note: 1 is not a prime number
Option D
Answer: (D) 17
Question: While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 8° east of north, in what direction was it originally flying?
(A) (a) 30° west of north
(B) (b) 30° east of north
(C) (c) 17° west of north
(D) (d) 17° east of north
(E) (e) 5° west of north
Rationale: If after a turn of 25° you are 8°NEast, with a 17° turn you would be perfectly pointing at north. So you were, before the turn, 17° to the other side (West).
Answer C)
Answer: (C) (c) 17° west of north
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
(A) 90
(B) 30
(C) 20
(D) 50
(E) 73
Rationale: Explanation:
M = 15
S = 5
DS = 15 + 5 = 20
Answer:C
Answer: (C) 20
Question: Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 4 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?
(A) 9
(B) 14
(C) 17
(D) 23
(E) 26
Rationale: My take is Option D (23)
I followed a simple approach (explained below):
Test 1: Ada's score = Paul's score + 10
Test 2: Ada's score = Paul's score + 4
Avg. of Paul's score = 4 points higher than Avg. of Ada's score
This implies that : Sum of Paul's score [3 Tests] = 12 points higher than Sum of Ada's score [3 Tests] (12 points higher since 3 points were given in terms of average of 3 scores)
So, Paul needs to score 23 points higher than Ada in Test 3, since Paul needs to compensate for the lower score in test 1 and Test 2 ( 26 = 10 + 4 + 12)
E
Answer: (E) 26
Question: For integers x and y, if 91x = 8y, which of the following must be true?
I. The cube root of x is an integer
II. y > x
III. y/7 is an integer
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
Rationale: Statement 2: y>x
When y=x=0, equation holds but y is not greater than x
When x=-8 and y=-91, equation again holds but x>y
NOT TRUE
Statement 3: y/7 is an integer
Since x and y are integers, 91x and 8y must also be integers.
It is given that 91x=8y
or 13*7*x = 8 y
or 13x = 8y/7
To balance the equation, y/7 must be an integer
TRUE
Statement 1: The cube root of x is an integer
x can be equal to 2*2*2*3 and for this value of x,y will be 13*7*3
So, x may or may not be a cube root.
NOT TRUE
Answer:-C
Answer: (C) III only
Question: George is 8 years more than Christopher and Ford is 2 years younger than Christopher. The sum of their ages is 60. Find the ages of George.
(A) 25
(B) 26
(C) 27
(D) 28
(E) 29
Rationale: Christopher age = x
George age, y = x + 8---------->(1)
Ford age, z = x - 2------------>(2)
Sum of their ages, x+y+z=60---->(3)
Substitute z and y values in equation (3)
Therefore, x+(x+8)+(x-2)=60
=> 3x+8-2=60
=> 3x=60-6
=> 3x=54 =>x=54/3
x=18(Christopher's age)
Substitute x value in equation 1 & 2
y=x+8
y=18+8
y=26
ANSWER:B
Answer: (B) 26
Question: A rectangular football field is fenced on all four sides. The length of the football field is twice the length of its breadth. The cost of fencing the field was $300. The football management has decided to change the dimensions of field by increasing the breadth by 50% of its original value and reducing the length by 25% of its original value and fence the field again.. What will be the cost of the new fencing?
(A) $300
(B) $180
(C) $425
(D) $405
(E) $415
Rationale: Let's take x to be the breadth. Then the length of the football field is 2x.
The perimeter of the old football field is x + 2x + x + 2x = 6x.
Now, for the new football field:
The new breadth = 1.5 times old breadth = 1.5x
The new length is 0.75 times old length = (.75)2x = 1.5x
So the new perimeter is 1.5x + 1.5x + 1.5x + 1.5x = 6x.
The new perimeter is the same as the older perimeter! So presumably the cost is the same at $300.
Ans - A
Answer: (A) $300
Question: 325325 is a six digit number.It is divisible by
(A) 7 only
(B) 11 only
(C) 13 only
(D) all 7,11,and 13
(E) none
Rationale: Solution
Clearly,325325 is divisible by all 7,11,and 13.
Answer D
Answer: (D) all 7,11,and 13
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
(A) 25
(B) 30
(C) 35
(D) 40
(E) 45
Rationale: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50 = 30 sec.
Answer: Option B
Answer: (B) 30
Question: A clock shows the time as 10 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 4 p.m.?
(A) 30 min
(B) 35 min
(C) 45 min
(D) 50 min
(E) 55 min
Rationale: there are 6 hours in between 10 a.m. to 4 p.m.
6*5=30 minutes.
ANSWER:A
Answer: (A) 30 min
Question: 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) 4
(C) 5
(D) 6
(E) 7
Rationale: M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3
Answer: A
Answer: (A) 3
Question: A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. B's contribution in the capital is
(A) 6000
(B) 7000
(C) 8000
(D) 9000
(E) 5000
Rationale: Ratio in which profit is divided =2:3
Assume that B's contribution to the capital =b
3500×12:b×7=2:3
⇒3500×12×3=2×b×7
⇒b=(3500×12×3)/(2×7)
=500×6×3=9000
Answer is D.
Answer: (D) 9000
Question: A certain club has 10 members, including Parry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that parry will be either the member chose to be secretary or the member chose to be treasurer?
(A) 1/720
(B) 1/80
(C) 1/10
(D) 1/9
(E) 1/5
Rationale: In order to become a secretary the person cannot be chosen as a president. This can be done in 9/10 ways. Then to become a secretary this person's probability is 1/9
Probability to become a secretary = (9/10 * 1/9) = 1/10
Similar concept for treasurer. Probability of not president = 9/10, Probability of not secretary = 8/9, probability of treasurer 1/8
probability to become a treasurer = (9/10 * 8/9 * 1/8) = 1/10
Since, the problem is saying parry secretary OR Treasurer it is addition: 1/10 + 1/10 = 1/5=E
Answer: (E) 1/5
Question: If q and y are different prime numbers less than ten, what must be true about the sum of q and y?
(A) the sum is even
(B) the sum is odd
(C) the sum is less than ten
(D) the sum is greater than ten
(E) the sum is less than 13
Rationale: This has to be solved by checking for each option:
Prime numbers less that 10 = 2, 3, 5, 7
A. the sum is even
May or may not be true. q = 3, y, = 5 -> True.
q = 2, y = 3 - True
B. the sum is odd
May or may not be true. q = 3, y, = 5 -> False.
q = 2, y = 3 - True
C. the sum is less than ten
May or may not be true q= 5, y = 7, Sum = 12
q = 2, y = 3. Sum = 5
D. the sum is greater than ten
May or may not be true q= 5, y = 7, Sum = 12
q = 2, y = 3. Sum = 5
E. the sum is less than 13
This will always be true.
Maximum sum = 7 + 5 = 12.
This is always less than 13.
Correct Option: E
Answer: (E) the sum is less than 13
Question: An exam consists of 7 true/false questions. Brian forgets to study, so he must guess blindly on each question. If any score above 70% is a passing grade, what is the probability that Brian passes?
(A) 1/16
(B) 37/256
(C) 1/2
(D) 219/256
(E) 15/16
Rationale: If you have 8 T or F and Brian is going to guess then each question he has a 50% chance of getting correct.
If a passing score is 70% it means Brian needs to get 6/8=75%, 7/8=87.5%, or 8/8=100% to pass. Each is a possibility. If Brian gets a 5/8(=62.5%) or below he fails.
So first figure out the number of ways that Brian can get 6 out of 8, 7 out of 8, and 8 out of 8 questions correct.
Which is 8 choose 6, equals is 28, 8 choose 7, equals 8, and 8 choose 8, equals 1. This sums to 37.
The number of possible questions outcomes -the sum of 8 choose 8, 7 choose 8, 6 choose 8….2 choose 8, 1 choose 8, and 0 choose 8 is 256, so the chance of him passing is 219/256.
D
Answer: (D) 219/256
Question: Statement: "You are appointed as a programmer with a probation period of 1 year and your performance will be reviewed at the end of the period for confirmation."
Assumptions:
The performance of an individual generally is not known at the time of appointment offer.
Generally an individual tries to prove his worth in the probation period.
(A) Only assumption I is implicit
(B) Only assumption II is implicit
(C) Either I or II is implicit
(D) Neither I nor II is implicit
(E) Both I and II are implicit
Rationale: The performance of the individual has to be tested over a span of time as the statement mentions. So, I is implicit. The statement mentions that the individual's worth shall be reviewed (during probation period) before confirmation. So, II is also implicit.
E
Answer: (E) Both I and II are implicit
Question: a sales person was starting a business and giving everyone that worked there a salary of 50000 for the first 6 years and giving them 65000 after 12 years. what would the interest rate for each year?
(A) 7%
(B) 10%
(C) 15%
(D) 25%
(E) 20%
Rationale: for 6 years = (65000 - 50000 ) = 15000.
for 12 years = (15000x6)/6= 15000
Principal = (50000 - 15000) = 35000.
Hence, rate = (100 x 15000)/(35000x6) = 7% ANSWER: A
Answer: (A) 7%
Question: If 25% of x is 15 less than 15% of 1500, then x is?
(A) 188
(B) 216
(C) 156
(D) 840
(E) 121
Rationale: 25% of x = x/4 ; 15% of 1500 = 15/100 * 1500 = 225
Given that, x/4 = 225 - 15 => x/4 = 210 => x = 840.
Answer: D
Answer: (D) 840
Question: Find the average of first 15 natural numbers.
(A) 10
(B) 120
(C) 15
(D) 8
(E) 16
Rationale: Explanation:
Sum of first n natural numbers = n(n+1)/2
Hence, sum of first 15 natural numbers = (15 x 16)/2 = 120
Therefore, required average of = 120/15 = 8
ANSWER: D
Answer: (D) 8
Question: What is |-26|?
(A) (a) -26
(B) (b) 26
(C) (c) 0
(D) (d) 1
(E) (e) 25
Rationale: |-26|
= 26.
the answer is (B)
Answer: (B) (b) 26
Question: A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
(A) Rs. 1620
(B) Rs. 1640
(C) Rs. 1680
(D) Rs. 1700
(E) Rs. 1800
Rationale: Principal = (P.W. of Rs. 882 due 1 year hence) + (P.W. of Rs. 882 due 2 years hence)
= [882/(1 + 5/100) + 882/(1 + 5/100)2]
= (882 * 20)/21 + (882 * 400)/441 = Rs. 1640.
ANSWER:B
Answer: (B) Rs. 1640
Question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ?
(A) 19
(B) 20
(C) 21
(D) 23
(E) 25
Rationale: Number = (12 x 35)
Correct Quotient = 420 ÷ 21 = 20
B)
Answer: (B) 20