mathewhe/aqua_rat huggingface dataset:
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
(A) 1667
(B) 6789
(C) 1200
(D) 6151
(E) 1421
Rationale: CP* (76/100)
= 912
CP= 12 * 100 => CP
= 1200
Answer: C
Answer: (C) 1200
Question: A committee of three students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
Rationale: If Paul is in the committee : We must choose 2 out of 3 others (No Stuart) --> 3 ways
If Stuart is in the committee : No Paul & Hence no Jane, so the other 2 must be chose --> 1 way
If neither Paul nor Stuart are in the committee, 3 students left, but since no Paul, no Jane : No commitee possible
Answer : 4 B
Answer: (B) 4
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
(A) 5.15 sec
(B) 7.15 sec
(C) 3.15 sec
(D) 8.15 sec
(E) 6.15 sec
Rationale: B
7.15 sec
T = (121 + 165)/ (80 + 65) * 18/5
T = 7.15
Answer: (B) 7.15 sec
Question: If the price of a certain computer increased 30 percent from d dollars to 338 dollars, then 2d =
(A) 540
(B) 520
(C) 619
(D) 649
(E) 700
Rationale: Before Price increase Price = d
After 30% Price increase Price = d+(30/100)*D = 1.3d = 338 (Given)
i.e. d = 338/1.3 = $260
i.e. 2d = 2*260 = 520
Answer: option B
Answer: (B) 520
Question: Which of the following must be true?
1) Every prime number greater than 5 can be written as either as 3n+1 or 3n-1
2) Every prime number greater than 5 can be written as 4n+1 or 4n-1
3) Every number greater than 5 of the form 3n+1 or 3n-1 is a prime number.
(A) 1,2,3
(B) 2,3
(C) only 1
(D) 1,2
(E) only 2
Rationale: Every prime number greater than 3 can be written in the form of 3n+1 or 3n-1 where n is an integer. So 1 can be possible.
3. This is not possible as 2 and 3 are being prime , we can't write then in the form of 3n+1 or 3n-1.
D
Answer: (D) 1,2
Question: There are an odd number of bananas in every bunch of bananas (b = number of bananas per bunch, and B = number bunches of bananas), and every bag of apples has an even number of apples (a = number apples per bag, and A = number bags of apples). The store refuses to sell individual items. The store only sells bunches and bags. Which equation shows how the fruits can be combined to ensure an equal number of bananas and apples?
(A) (2B + 1)(2b + 1) = (A)(a)
(B) (2Bb + 1) = (Aa + 1)
(C) (1/2)(4B + 2)(2b + 1) = (A)(2a + 1)
(D) (B)(2b + 1) = (A)(2a)
(E) (B + 1)(b) = (2A + 1)(2a + 1)
Rationale: Divisible by 2 (Parity Mathematics) states: an even number is an integer of the form n = 2k, where k is an integer; an odd number is an integer of the form n = 2k + 1.
So, (A)(2a) will give an even number of apples,
and (B)(2b + 1), from Parity Mathematics Rule: The sum of two odd numbers is even, will give an even number of bananas.
(B)(2b + 1) = (A)(2a)
Answer: D
Answer: (D) (B)(2b + 1) = (A)(2a)
Question: If x and y are positive numbers and z = xy^2, a 20 percent increase in x and a 10 percent decrease in y would result in which of the following changes in z?
(A) decrease of 2.8%
(B) decrease of 11.4%
(C) increase of 4.6%
(D) increase of 15.8%
(E) increase of 22.4%
Rationale: After the changes, z = 1.2x*(0.9y)^2 = (1.2*0.81)xy^2 = 0.972*z
The answer is A.
Answer: (A) decrease of 2.8%
Question: What is the remainder when 7^74 - 10^74 is divided by 24?
(A) 3
(B) 1
(C) 2
(D) 0
(E) None of these
Rationale: easiest way for me: 7^74 - 5^74 = (49)^37-25^37 = (24*2+1)^37 - (24+1)^37 -> remainder is 1^37 - 1^37 = 0
Ans :D
Answer: (D) 0
Question: A number when divided by 44, gives 400 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 35
(A) A)30
(B) B)3
(C) C)4
(D) D)6
(E) E)7
Rationale: Explanation:
P ÷ 44 = 400
=> P = 400 * 44 = 17600
P / 35 = 17600 / 35 = 502, remainder = 30
Answer: Option A
Answer: (A) A)30
Question: Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 18,the first number is :
(A) 22
(B) 21
(C) 77
(D) 99
(E) 27
Rationale: Explanation:
Let the numbers be a,b,c,d
Given, a + b + c = 48, b + c + d = 45
Now, d = 18
thus, b + c + 18 = 45 ⇒ b + c = 27
Putting the value of b + c in a + b + c = 48
a + 27 = 48 ⇒ a = 21
Answer: B
Answer: (B) 21
Question: A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1340 in total compensation, how many total hours did he work that week?
(A) 76
(B) 60
(C) 65
(D) 48
(E) 52
Rationale: For 40 hrs = 40*16=640
Excess = 1340-640=700
For extra hours =.75(16)=12+16=28
Number of extra hrs =700/28=25
Total hrs =40+25=65
Answer C 65
Answer: (C) 65
Question: The average age of a committee of 8 members is 44 years. A member aged 56 years retired and his place was taken by another member aged 44 years . The average age of
present committee is;
(A) 39 years
(B) 38 years
(C) 42.5 years
(D) 35 years
(E) 37 years
Rationale: Total age of the committee = 44*8 = 352,
Total age when a member is retired
and a new one was joined = 352-56 +44, =340
Average age of present committee = 340/8 = 42.5.
ANSWER:C
Answer: (C) 42.5 years
Question: A typist uses a paper 12" by 5" length wise and leaves a margin of 1" at the top and the bottom and a margin of ½" on either side. What fractional part of the paper is available to him for typing ?
(A) 2⁄3
(B) 1⁄2
(C) 1⁄3
(D) 5⁄7
(E) None of these
Rationale: Area of paper = 12 × 5 = 60 sq. inch
Area of typing part = (12 - 1 × 2) × (5 - 1⁄2 × 2)
= (12 – 2) × (5 – 1) = (10 × 4) sq. inch
∴ Required fraction = 40⁄60 = 2⁄3
Answer A
Answer: (A) 2⁄3
Question: A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $60. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
(A) 540/(xy)
(B) 540xy
(C) xy/9
(D) xy/60
(E) 60xy
Rationale: xy sq ft = $60
1 sq ft = $60/xy
multiplying by 9 on both side
9 sq ft = $540/xy
or 1 sq yard = $540/xy
Hence A
Answer: (A) 540/(xy)
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
(A) 23
(B) 27
(C) 28
(D) 29
(E) 31
Rationale: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27
B
Answer: (B) 27
Question: A carpenter worked alone for 1 day on a job that would take him 5 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?
(A) 4 2/3
(B) 7
(C) 9
(D) 14
(E) 24
Rationale: A carpenter worked only 1 day on something that takes him 5 MORE days.
Means;
Carpenter finishes his work in 6 days.
Let his buddy finish the same task in x days.
Respective rates per day:
1/6 AND 1/x
To complete 1 work:
First guy worked for 5 days @ rate=1/6 per day.
Second one worked for 4 days @ rate=1/x per day
Expression:
Days*Rate=Work
5*1/6+4*1/x=1
5x+24=6x
x=24 days.
Ans:E
Answer: (E) 24
Question: what is the remainder when 789456123 is divided by 999
(A) 359
(B) 369
(C) 379
(D) 388
(E) 399
Rationale: 789456123 / 999
789456123 / 9*111
87717347 / 111 => rem = 41
we have cancelled it by 9
reqd remainder = 9*41 = 369
ANSWER:B
Answer: (B) 369
Question: A mixture of 150 liters of water and milk contains 20% milk. How much more milk should be added so that milk becomes 25% of the new mixture?
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
Rationale: A
10 liters
Number of liters of milk in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters.
P liters of milk added to the mixture to make milk 25% of the new mixture.
Total amount of milk becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 * (150 + P)
120 + 4P = 150 + P => P = 10 liters.
Answer: (A) 10
Question: 8 men, working 7 hours a day can complete a work in 18 days. How many hours a day must 12 men work to complete the same work in 12 days?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: The number of hours required to complete the work is 8*7*18 = 1008
12 × 12 × (x) = 1008
x = 7
The answer is B.
Answer: (B) 7
Question: The salary of a person was reduced by 20%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
(A) 50%
(B) 32%
(C) 25%
(D) 43%
(E) 29%
Rationale: Let the original salary be $100
New salary = $80
Increase on 80 = 20
increase on 100 = 20/80 *100 = 25%
Answer is C
Answer: (C) 25%
Question: A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 8, AB = 5 and AC = 11, what is the length of AE?
(A) 18
(B) 20
(C) 22
(D) 24
(E) 26
Rationale: AC = 11 and AB = 5, so BC = 6.
BC = 2CD so CD = 3.
The length of AE is AB+BC+CD+DE = 5+6+3+8 = 22
The answer is C.
Answer: (C) 22
Question: The population of a town was 1,60,000 three years ago, If it increased by 3%, 2.5% and 5% respectively in the last three years, then the present population in
(A) 177369
(B) 177329
(C) 177629
(D) 177366
(E) 1773198
Rationale: Explanation:
Present population = 160000 * (1 + 3/100)(1 + 5/200)(1 + 5/100)
= 177366.
Answer: D) 177366
Answer: (D) 177366
Question: If n divided by 7 has a remainder of 2, what is the remainder when 6 times n is divided by 7?
(A) 1
(B) 2
(C) 3
(D) 5
(E) 6
Rationale: As per question => N=7P+2 for some integer p
hence 6N => 42Q + 12 => remainder =>12 for some integer Q
Alternatively => N=2 > 6N=> 12 =>12 divided by 7 will leave a remainder 5
hence D
Answer: (D) 5
Question: Peter's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Peter makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $0?
(A)  15
(B)  24
(C)  25
(D)  26
(E)  13
Rationale: day 0- payment of $7 is made in the morning (after 12 am midnight)
day 1 onwards(after 12 am midnight) internet service will begin and will run for 7*2=14 days i.e. at the end of day 15 balance will be zero.
now Peter can still use the internet till her debt reaches $5 which means total of 5*2=10 days.
now the question states for how many days, including today, will she be connected to the internet without any additional paymentsi.e. we will have to include day0 also in our final answer. therefore total no. of days =1+14+10=25=C
Answer: (C)  25
Question: At a dinner party, 7 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
(A) 5
(B) 10
(C) 24
(D) 32
(E) 720
Rationale: Soln: Since the arrangement is circular and 2 seating arrangements are considered different only when the positions of the people are different relative to each other, we can find the total number of possible seating arrangements, by fixing one person's position and arranging the others.
Thus if one person's position is fixed, the others can be arranged in 6! =720 ways.
Ans is E.
Answer: (E) 720
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.35 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
(A) 22
(B) 23
(C) 28
(D) 29
(E) 26
Rationale: 20 15 5
35 20 8
500 + 300 + 40 = 1040/40 = 26
ANSWER:E
Answer: (E) 26
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is ?
(A) 17/29
(B) 17/25
(C) 17/27
(D) 17/29
(E) 17/89
Rationale: The number of exhaustive events = ⁵⁰C₁ = 50.
We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Required probability = 34/50 = 17/25
Answer: B
Answer: (B) 17/25
Question: Rs.880 is divided amongst A, B, C so that 4 times A's share, 5 times B's share and 10 times C's share are all equal. Find C's share?
(A) 177
(B) 150
(C) 817
(D) 160
(E) 616
Rationale: A+B+C = 8804A = 5B = 10C = xA:B:C = 1/4:1/5:1/10= 5:4:22/11 * 880= Rs.160Answer: D
Answer: (D) 160
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
(A) Rs. 500
(B) Rs. 1500
(C) Rs. 2000
(D) Rs. 2200
(E) Rs. 2400
Rationale: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
x = 1000.
B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
ANSWER : OPTION C
Answer: (C) Rs. 2000
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 3,900 milk chocolates per month, what was it one month ago?
(A) 10,000 chocolates
(B) 3000 chocolates
(C) 8000 chocolates
(D) 7000 chocolates
(E) None of these
Rationale: Let one month ago, production be x chocolates.
Then, 130 % of x = 3900
⇒ x = 3900×100/130=3000 chocolates
Answer B
Answer: (B) 3000 chocolates
Question: 5 cars are to be parked in 5 parking slots. there are 3 red colour cars, 1 blue colour car and 1 green car. how many ways the car can be parked?
(A) 10 ways
(B) 15 ways
(C) 20 ways
(D) 25 ways
(E) 30 ways
Rationale: total ways to park the cars having same colour =5!
but according to question ,there are 3 red cars,so no. of ways for parking
3 red cars=3!
and both blue & green in 1 ways
so, 5!/1!*3!*1! = 20 ways
hence correct answer must be 20 ways.
ANSWER:C
Answer: (C) 20 ways
Question: A cab driver 5days income was $45, $50, $60, $65 , $80. Then his average income is?
(A) A)$58
(B) B)$42
(C) C)$60
(D) D)$48
(E) E)$62
Rationale: avg = sum of observations/number of observations
avg income=(45+50+60+65+80)/5 = 60
Answer is C
Answer: (C) C)$60
Question: An outlet pipe can empty 2/3 rd of a cistern in 20 minutes. In 8 minutes, what part of the cistern will be emptied?
(A) 4/9
(B) 4/3
(C) 4/2
(D) 4/8
(E) 4/15
Rationale: 2/3 ---- 20
? ----- 8 ==> 4/15
Answer: E
Answer: (E) 4/15
Question: On Children’s Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children’s Day 35 children were absent and therefore, each child got 4 sweets extra. How many sweets were available in all for distribution?
(A) 2480
(B) 2680
(C) 2750
(D) 2400
(E) None of these
Rationale: Let the original number of sweets be x.
According to the question,
x⁄140 - x⁄175 = 4
or, 175x – 140x = 4 × 140 × 175
or, x = 4×140×175/35=2800
Answer E
Answer: (E) None of these
Question: A fellow borrowed a certain sum of money at 5% per annum at simple interest and in 5 years the interest amounted to Rs.2250 less than the sum lent. What was the sum lent?
(A) 1050
(B) 1220
(C) 1250
(D) 1060
(E) 3000
Rationale: P - 2250 = (P*5*5)/100
P = 3000
Answer: E
Answer: (E) 3000
Question: A man can row downstream at 18 kmph and upstream at 6 kmph. Find the speed of the man in still water and the speed of stream respectively?
(A) 3
(B) 5
(C) 6
(D) 4
(E) 9
Rationale: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 6 --- (2)
From (1) & (2) 2x = 24 => x = 12, y = 6. Answer: C
Answer: (C) 6
Question: Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,500 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
(A) 312
(B) 336
(C) 360
(D) 390
(E) 420
Rationale: The way I looked at is is as follows:
UserFriendly(UF) + FastResponse (FR) = 30%
UF leftover = 56 - 30 = 26%
FR leftover = 48 - 30 = 18%
Sum these = 74% (ie. 74% were either UF+FR, UF, FR)
26% leftover is the maximum number for Bargain Price
26/100 * 1500 = 26 * 15 = 390 (D).
Answer: (D) 390
Question: Can you find the missing number in the sequence given below?
11 18 25 12 19 ? 13 20 27 14 21 28
(A) 20
(B) 21
(C) 22
(D) 23
(E) 26
Rationale: Solution:
26
Explanation :
The sequence is given in the puzzle is :
11 18 25 12 19 ? 13 20 27 14 21 28
Let's break the given series as below:
11 18 25
12 19 ?
13 20 27
14 21 28
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 26.
Answer E
Answer: (E) 26
Question: The average price of an decoration piece increases over the years. If from 1990 to 1996, the price of the decoration piece increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the decoration piece in 2001 if the price in 1990 was $11,500?
(A) $15,594.
(B) $15,322.
(C) $14,786.
(D) $14,543.
(E) $12,988.
Rationale: Whenever you have a question in which a value is increased by x% and then increased by y% then the overall effective increase = (x + y + xy/100 ) %
The effective increase = 13 + 20 + (13×20/100) = 35.6%
This is a little more 33% or 1/3 the original value.
THE QUICKEST WAY TO SOLVE THIS QUESTION IS TO USE APPROXIMATION.
11500 + 1/ 3 (12000) = 15500
Therefore option A is the answer.
I selected 12000 because it's value is a little more 11500 and it's easier to divide by 3 ( ie to calculate 1/3 or 33%).
Answer: (A) $15,594.
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 14 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
(A) 80%
(B) 112%
(C) 120%
(D) 124.2%
(E) 138%
Rationale: x = profits
r= revenue
x/r = 0,1
x= 10
r=100
2009:
r=80
x/80 = 0,14 = 14/100
x= 80*14/100
x= 11.2
11.2/10 = 1,12 = 112%, Answer B
Answer: (B) 112%
Question: 3 man had collected 65 apples by visiting different tress. At tree 1 the collected some apples. At tree 2 they had 3 times the apple that they collected in tree 1. At tree 3 they had 5 times the no of apples when they reach there. At tree 4 they could collect only 5 apples. What was the no of apples they had in tree 1
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: At tree 1: x
At tree 2: 3x
At tree 3: 5(3x+x)
At tree 4: 20x + 5
20x+5=65
x=3
ANSWER:C
Answer: (C) 3
Question: What is the dividend from Tony's stock, if he invested Rs. 3200 at 85 to obtain an income of Rs. 250.
(A) 4
(B) 7.6
(C) 6.6
(D) 7.6
(E) 9.6
Rationale: By investing Rs.3200, income = Rs.250
By investing Rs.85, income = 250Ã—85/3200=6.6
ie, dividend = 6.6%
Answer is C.
Answer: (C) 6.6
Question: There is a road beside a river.two friends started from a place A,moved to a temple situated at another place B and then returned to A again.one of them moves on a cycle at a speed of 12 km/hr,while the other sails on a boat at a speed of 10 km/hr.if the river flows at the speed of 4 km/hr,which of the two friends will return to placeA first?
(A) cyclist and boat sailor
(B) boat sailor
(C) none
(D) cyclist
(E) cyclist and boat sailor both are reached at the same time
Rationale: Clearly the cyclist moves both ways at a speed of 12 km/hr.
The boat sailor moves downstream @ (10+4)i.e.,14 km/hr and upstream @ (10-4)i.e., 6km/hr.
So,average speed of the boat sailor=(2*14*6/14+6)km/hr
=42/5 km/hr=8.4 km/hr.
since the average speed of the cyclist is greater ,he will return ta A first.
Answer is D.
Answer: (D) cyclist
Question: What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?
(A) 6084
(B) 3788
(C) 2077
(D) 2721
(E) 1812
Rationale: Explanation:
1347
7431
------------
6084
Answer:A
Answer: (A) 6084
Question: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
(A) 5040
(B) 40
(C) 400
(D) 5000
(E) 6000
Rationale: LOGARITHM => 10 diff letters
req no of words = No of arrangements of 10 letters taking 4 at a time
=> 10P4 = (10*9*8*7)
==> 5040
ANSWER A
Answer: (A) 5040
Question: Bexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Bexy’s average speed. How many minutes does Ben spend on his round trip?
(A) 40
(B) 80
(C) 120
(D) 160
(E) 180
Rationale: Bexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Bexy’s average speed. How many minutes does Ben spend on his round trip?
Average speed = total distance/total time
We know the total distance is 5+5 (going from A to B then from B to A)
Time = distance/speed
Time = 5/15
Time = 1/3 hour
Average speed = (10)/(1hr + 1/3hr)
Average speed (Bexi) = 10 / 1.33
Therefore, if Ben's average speed is 1/2 of Bexi's then his speed = 10/2.66.
This means it took him 2.66 hours to cover the same 10 miles Bexi did. 2.66 hours = roughly 160 minutes.
Answer: D). 160
Answer: (D) 160
Question: Selling an kite for Rs. 30, a shop keeper gains 35%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
(A) 8%
(B) 10%
(C) 11%
(D) 15%
(E) 21.5%
Rationale: Explanation:
Marked price = Rs. 30
C.P. = 100/135 * 30 = Rs. 22.22
Sale price = 90% of Rs. 30 = Rs. 27
Required gain % = 4.77/22.22 * 100 =21.5%.
Answer: E
Answer: (E) 21.5%
Question: The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?
(A) 2010
(B) 2001
(C) 2012
(D) 2011
(E) 2009
Rationale: Suppose commodity X will cost 40 paise more than Y after z years.
Then, (4.20 + 0.40z) - (6.30 + 0.15z) = 0.40
0.25z = 0.40 + 2.10
z = 2.50/0.25
= 250/25
= 10.
Therefore, X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.
Answer is D.
Answer: (D) 2011
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 4 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
(A) 20cs
(B) cs/2
(C) 48cs
(D) (2cs)/12
(E) (24c)/s
Rationale: Ans: C
Solution: simple multiplication s students , c classes , 4 books/ month= 48 books a year
total number of books = 48cs
Answer: (C) 48cs
Question: Solve the equation: -3(-x + 5) + 20 = -10(x - 3) + 4
x=?
(A) 28/12
(B) 12/28
(C) 13/29
(D) 29/13
(E) 10/22
Rationale: Expand the expressions with brackets in the given equation
3x - 15 + 20 = -10x + 30 + 4
Group like terms
3x + 5 = -10x + 34
Solve
13 x = 29 , x = 29 / 13
correct answer D)29/13
Answer: (D) 29/13
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
(A) 15 Kmph
(B) 17 Kmph
(C) 18 Kmph
(D) 19 Kmph
(E) 20 Kmph
Rationale: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph
A)
Answer: (A) 15 Kmph
Question: What is the perimeter, in meters, of a rectangular garden 4 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
(A) 48
(B) 56
(C) 60
(D) 76
(E) 104
Rationale: Say Length of garden is L meters.
Then (L*4) = 16 * 12 [Given area is same. Area= L * B]
Therefore L works out to 48 meters.
Perimeter of Garden = 2* (48+4) = 104 meter.
Answer is E
Answer: (E) 104