mathewhe/aqua_rat huggingface dataset:
Question: The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal ?
(A) May 21
(B) April 11
(C) May 20
(D) April 10
(E) June 30
Rationale: Explanation :
Price of Darjeeling tea (in rupees per kilo gram) is 100 + 0.10n
Price of Ooty tea (in rupees per kilo gram) is 89 + 0.15n
Price of the Darjeeling tea on the 100th day = 100 + 0.1 × 100 = 110.
=> 89 + 0.15n = 110.
=> n = 140.
Number of days in the months of January, February, March and April in the year 2007 = 31 + 28 + 31 + 30 = 120.
Therefore, the price of both the tea will be equal on 20th May.
Answer : C
Answer: (C) May 20
Question: Average monthly income of a family of 4 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
(A) Rs. 692.80
(B) Rs. 820
(C) Rs. 990
(D) Rs. 1385
(E) None
Rationale: Answer
Income of the deceased = Total income of 4 members - total income of remaining 3 members.
= 735 x 4 - 650 x 3 Rs.
= 990 Rs.
Correct Option: C
Answer: (C) Rs. 990
Question: he time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
(A) 12 kmph.
(B) 17 kmph.
(C) 14 kmph.
(D) 21 kmph.
(E) 19 kmph.
Rationale: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 42/3 = 14 kmph.
Answer: C
Answer: (C) 14 kmph.
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
(A) 39:40
(B) 39:47
(C) 39:50
(D) 39:44
(E) 39:41
Rationale: 3: 4
A = 3/7*210 = 90
390: 400
39:40.Answer:A
Answer: (A) 39:40
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
(A) 20(2/3)%
(B) 20%
(C) 21%
(D) 22(2/3)%
(E) None of these
Rationale: Explanation :
Total numbers = 70
Total numbers in 1 to 70 which has 1 in the unit digit = 7
Total numbers in 1 to 70 which has 9 in the unit digit = 7
Total numbers in 1 to 70 which has 1 or 9 in the unit digit = 7 + 7 = 14
Required percentage = (14/70) × 100 = 140/7 = 20%
Answer : Option B
Answer: (B) 20%
Question: If 2x + 3y = 70; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
(A) 18
(B) 32
(C) 36
(D) 22
(E) None of these
Rationale: On solving equation we get
x = 27, y = 8, z = 1
Answer C
Answer: (C) 36
Question: Two trains of length 160 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
(A) 10 sec
(B) 32 sec
(C) 82 sec
(D) 24 sec
(E) 89 sec
Rationale: Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 160 + 320 = 480 m.
The time required = d/s = 480 /20 = 24 sec.
Answer:D
Answer: (D) 24 sec
Question: Which is a tool that helps RBI to stabilize money supply and prices of Government securities?
(A) OMJ
(B) OMY
(C) OMO
(D) OM6
(E) OMD
Rationale: Explanation:
An Open Market Operation is an activity by a central bank to buy or sell government bonds on the open market.
ANSWER: C
Answer: (C) OMO
Question: A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 140, how many coins of each type are there?
(A) 20 coins
(B) 30 coins
(C) 40 coins
(D) 80 coins
(E) None of these
Rationale: Let number of each type of coin = x. Then,
1 × x + .50 × x + .25x = 140
⇒ 1.75x = 140 ⇒ x = 80 coins
Answer D
Answer: (D) 80 coins
Question: Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
(A) 11
(B) 10
(C) 817
(D) 117
(E) 111
Rationale: Explanation:
Part of the filled by all the three pipes in one minute
= 1/18 + 1/15 - 1/45 = (5 + 6 - 2)/90 = 9/90 = 1/10
So, the tank becomes full in 10 minutes.
Answer:D
Answer: (D) 117
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.200 in 4 Years?
(A) 5%
(B) 7%
(C) 6.25%
(D) 2%
(E) 4%
Rationale: 200 = (800*4*R)/100
R = 6.25%
Answer: C
Answer: (C) 6.25%
Question: Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
(A) 32
(B) 28
(C) 17
(D) 45
(E) 63
Rationale: Let x, then, be how much she spent for the blouse. The problem states that "This" -- that is, $42 -- was $14 less than two times x.
Here is the equation:
2x − 14 = 42.
2x = 42 + 14
= 56.
x = 56
/2
= 28.
The blouse cost $28.
Answer: (B) 28
Question: Sri travels the first 6 hours of his journey at 40 mph speed and the remaining 3 hours at 20mph speed. What is the average speed of Sri's travel in mph?
(A) 33.3mph
(B) 33.8mph
(C) 32.3mph
(D) 34.3mph
(E) 33.1mph
Rationale: Explanation :
Average speed=Total Distance/Time.
Total distance travelled by sri = Distance covered in the first 6 hours + Distance covered in the next 3 hours.
Distance covered in the first 6 hours = 6Ã—40=240 miles
Distance covered in the next 3 hours= 3Ã—20=60 miles
Therefore, total distance travelled = 240+60=300 miles.
The total time taken = 6+3=9hours.
Hence, the average speed =300/9= 33.3mph.
Answer : A
Answer: (A) 33.3mph
Question: How much time will take for an amount of Rs. 300 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
(A) 7
(B) 4
(C) 6
(D) 3
(E) 2
Rationale: Time = (100 * 81) / (300 * 4.5) = 6 years'
Answer:C
Answer: (C) 6
Question: A rope of which a calf is tied is increased from 15 m to 18m, how much additional grassy ground shall it graze?
(A) 1218
(B) 1212
(C) 1210
(D) 3.11.14
(E) 291.1
Rationale: π (182 – 152) = 311.14
Answer: D
Answer: (D) 3.11.14
Question: At the time of marriage, a man was 6 years elder to his wife. 6 years after their marriage, his age is 8/7 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
(A) 25 years
(B) 30 years
(C) 18 years
(D) 24 years
(E) 36 years
Rationale: let wifes age= x
husband age = x+6
now after 6 years of mrg x+6 wifes age
x+6+6 husbands age
8/7(x+6)=x+6+6
after solving x=36
ANSWER:E
Answer: (E) 36 years
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?
(A) Rs. 50000
(B) Rs. 52000
(C) Rs. 57000
(D) Rs. 60000
(E) Rs. 61000
Rationale: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m
Total area of the hall to be covered with mat = 2(lb + bh + hl)
= 2(20 * 15 + 15 * 5 + 5 * 20)
=2(300 + 75 + 100)
= 2 * 475
= 950 sq. m
Total expenditure = 60 * 950
= Rs. 57000
C
Answer: (C) Rs. 57000
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
(A) 75%
(B) 50%
(C) 100%
(D) 80%
(E) 70%
Rationale: MP = 100
CP = 75
SP = 150
------
75 ---- 75
100 ---- ? => 100%
ANSWER:C
Answer: (C) 100%
Question: Two employees A and B are paid a total of Rs. 580 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
(A) s.130
(B) s.140
(C) s.150
(D) s.232
(E) s.280
Rationale: Let the amount paid to A per week = x
and the amount paid to B per week = y
Then x + y = 580
But x = 150% of y = 150y/100 = 15y/10
∴15y/10 + y = 580
⇒ y[15/10 + 1] = 580
⇒ 25y/10 = 580
⇒ 25y = 5800
⇒ y = 5800/25 = Rs.232
D)
Answer: (D) s.232
Question: The train travels at an average speed of 25km/h, to the top of the hill where the midpoint of the trip is. Going down hill, train travels at an average speed of 5km/h. Which of the following is the closest approximation of train's average speed, in kilometers per hour, for the round trip?
(A) 8.5
(B) 8.3
(C) 2.6
(D) 4.2
(E) 6.5
Rationale: Since we're not given a distance to work with, we can TEST any distance that we like. Here, since the speeds are 25 km/hour and 5 km/hour, using a multiple of both 25 and 5 would make the math easiest.
Let's set the Distance up the hill at 50 km.
So, going uphill, we have....
D = (R)(T)
50 = (25)(T)
50/25 = 2 = T
2 hours to go uphill
Going downhill, we have....
D = (R)(T)
50 = (5)(T)
50/5 = 10 = T
10 hours to go downhill
Total Distance = 100 km
Total Time = 10+2 = 12 hours
Average Speed = 100/12 = 8.3 km/hour
B
Answer: (B) 8.3
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 27.3%. What would have been the percentage of profit earned if no discount had been offered?
(A) 28.5
(B) 27.675
(C) 30
(D) 34%
(E) None of these
Rationale: Giving no discount to customer implies selling the product on printed price. Suppose the cost price of the article is 100.
Then printed price = 100Ã—(100+27.3)/(100âˆ’5)
= 100Ã—127.3/95=134
Hence, required % Profit = 134 â€“ 100 = 34%
Answer D
Answer: (D) 34%
Question: A pharmaceutical company received $6 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) 72%
Rationale: Solution:
This is a percent decrease problem. We will use the formula: percent change = (new – old)/old x 100 to calculate the final answer.
We first set up the ratios of royalties to sales. The first ratio will be for the first 20 million in sales, and the second ratio will be for the next 108 million in sales. Because all of the sales are in millions, we do not have to express all the trailing zeros in our ratios.
First 20 Million
royalties/sales = 6/20 =3/10
Next 108 Million
royalties/sales = 9/108 = 1/12
Because each ratio is not an easy number to use, we can simplify each one by multiplying each by the LCM of the two denominators, which is 60. Keep in mind that we are able to do this only because our answer choices are expressed in percents.
First 20 Million
royalties/sales = (6/20) x 60 = 18
Next 108 Million
royalties/sales = 9/108 = (1/12) x 60 = 5
We can plug 18 and 5 into our percent change formula:
(new – old)/old x 100
[(5 – 18)/18] x 100
-650/9 x 100
At this point we can stop and consider the answer choices. Since we know that 650/9 is just a bit less than ½, we know that -650/9 x 100 is about a 72% decrease.
Answer E.
Answer: (E) 72%
Question: X and Y walk around a circular track. They start at 10 a.m from the same point in the opposite directions. X and Y walk at a speed of 6 rounds per hour and 7 rounds per hour respectively. How many times shall they cross each other before 3 p.m
(A) 64
(B) 65
(C) 66
(D) 67
(E) 68
Rationale: Explanation:
Relative speed = (6+7) =13 rounds per hour
So, they cross each other 13 times in an hour hence, they cross 65 times before 3 p.m
Answer: Option B
Answer: (B) 65
Question: Sahil purchased a machine at Rs 14000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.
(A) Rs. 22000
(B) Rs. 24000
(C) Rs. 26000
(D) Rs. 30000
(E) None of these
Rationale: Explanation:
Question seems a bit tricky, but it is very simple.
Just calculate all Cost price, then get 150% of CP.
C.P. = 14000 + 5000 + 1000 = 20000
150% of 20000 = 150/100 * 20000 = 30000
Option D
Answer: (D) Rs. 30000
Question: John's marks wrongly entered as 82 instead of 62. Due to that the average marks for the class got increased by half (1/2). The number of John in the class is?
(A) 70
(B) 78
(C) 80
(D) 84
(E) 90
Rationale: otal increase in marks = x x	1 =	x
2	2
x/2	= (82 - 62) x/2	= 40 x= 80.
C
Answer: (C) 80
Question: Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
(A) 14
(B) 12
(C) 15
(D) 16
(E) 20
Rationale: Filled in 2 hrs = 2/6 = 1/3
remain = (1-1/3)=2/3
(A+B)'S 7 HRS WORK = 2/3
(A+B)'S 1 hr work = 2/21
C'S 1 hr work = (A+B+C)'S 1 hr work - (A+B)'S 1 hr work
=(1/6-2/21)=1/14
=>c alone fill tank in 14 hrs
ANSWER A
Answer: (A) 14
Question: The present worth of Rs.169 due in 2 years at 4% per annum compound interest is
(A) Rs.150.50
(B) Rs.154.75
(C) Rs.156.25
(D) Rs.158
(E) None
Rationale: Solution
Present Worth	= Rs.[169/(1+4/100)²]
= Rs.(169x25/26x25/26)
= Rs.156.25
Answer C
Answer: (C) Rs.156.25
Question: A tailor trims 6 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. If 120 square feet of cloth remain, what was the length of a side of the original piece of cloth?
(A) 20
(B) 22
(C) 24
(D) 26
(E) 28
Rationale: Let the original side of the square be x.
(x-12)*(x-10) = 120 = 10*12
x = 22
The answer is B.
Answer: (B) 22
Question: If a*b=2a-3b+ab,then3*5+5*3 is equal to
(A) 22
(B) 32
(C) 25
(D) 28
(E) 30
Rationale: 3*5+5*3= (2x3-3x5+3x5)+(2x5-3x3+5x3)
=22
ANSWER A 22
Answer: (A) 22
Question: A, B and C can do a piece of work in 5 days, 10 days and 15 days respectively. How long will they taken, if all the three work together?
(A) 2
(B) 4
(C) 2 8/11
(D) 67
(E) 9
Rationale: 1/5 + 1/10 + 1/15 = 11/30 => 30/11 => 2 8/11 days
Answer: C
Answer: (C) 2 8/11
Question: A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
(A) 10% Gain
(B) 10% Loss
(C) 20% Loss
(D) 25% Loss
(E) 30% Loss
Rationale: Formula = (Selling price ~ Cost price)/Cost price * 100
= (810 ~ 900)/900 = 10% Loss
B
Answer: (B) 10% Loss
Question: If 9!/3^x is an integer, what is the greatest possible value of x?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: 9 - 3*3
6 - 2*3
3 - 1*3
Hence max of 3^4 is allowed. IMO B.
Answer: (B) 4
Question: eight children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
(A) 240
(B) 480
(C) 540
(D) 720
(E) 840
Rationale: Since it is more time consuming and error prone to find ways Betsy and E not sitting together, It is better we find ways in which they will be together and then subtract from total ways..
total ways = 6!..
ways B and E will be sitting together..
take both B and E as one, then these two together with other 4 can sit in 5! ways ...
Also B and E can sit within themselves in 2! ways..
so the answer required = 6!-2*5!=720..
ans D
Answer: (D) 720
Question: Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 3 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?
(A) 16.25%
(B) 8.25%
(C) 4.25%
(D) 6.25%
(E) 7.25%
Rationale: 25/4 =6.25
Answer : D
Answer: (D) 6.25%
Question: Egg Street begins at Toast Street and runs directly east for 6.6 kilometers until it ends when it meets Jam Street. Egg Street is intersected every 120 meters by a perpendicular street, and each of those streets other than Toast Street and Jam Street is given a number beginning at 1st Street (one block east of Toast Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Jam Street. What is the highest-numbered street that intersects Egg Street?
(A) 52nd
(B) 53rd
(C) 54th
(D) 56th
(E) 57th
Rationale: 6.6 km / 120 m = 55.
However, the street at the 6.6-km mark is not 55th Street; it is Jam Street.
Therefore, the highest numbered street is 54th Street.
The answer is C.
Answer: (C) 54th
Question: On flipping 3 coins together what is the outcomes for at least three tails?
(A) {HHH, HHT, HTH, THH}
(B) {HHT, HHT, HTH, THH}
(C) {TTH, HHT, HTH, THH}
(D) {TTT, HHT, HTH, THH}
(E) None
Rationale: Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
Favorable outcomes for at least three tails.
= favorable outcomes for exactlythree tails
= {TTT}
E
Answer: (E) None
Question: If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z>(x − 1)/(y − 1)
III. z>(x + 1)/(y - 1)
(A) II only
(B) I and II
(C) II and III
(D) I only
(E) I and III
Rationale: x < y --> Let x = 2 and y = 3 --> z = 2/3
I. z>(x − 1)/(y − 1) --> 2/3 > 1/2 --> True
II. z>(x − 1)/(y − 1) --> 2/3 > 1/2 --> True
III. z>(x + 1)/(y - 1) --> 2/3 > 3/2 --> False
Answer: B
Answer: (B) I and II
Question: In a series of six consecutive even numbers, the sum of the fifth and sixth numbers is 42. What is the second number?
(A) 10
(B) 12
(C) 14
(D) 18
(E) 16
Rationale: Let the numbers be x, x + 2, x + 4, x + 6, x + 8 and x + 10.
Given (x + 8) + (x + 10) = 42
=> 2x + 18 = 24 => x = 12
The second number = x + 2 = 12 + 2 = 14.
Answer: C
Answer: (C) 14
Question: The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
(A) 20
(B) 30
(C) 40
(D) None of these
(E) Either (a) or (b)
Rationale: Let the numbers be a, b and c.
Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.
(a + b + c) = 400 = 20.
ANSWER : A
Answer: (A) 20
Question: P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
(A) 17:1
(B) 17:6
(C) 17:9
(D) 17:2
(E) 17:3
Rationale: P:Q = 85000 : 15000
= 17:3.
Answer:E
Answer: (E) 17:3
Question: Which of the following is not an odd function?
(A) f(x) = -x3
(B) f(x) = x5
(C) f(x) = x2 - x
(D) f(x) = |x|3
(E) None of these
Rationale: Solution:
An odd function is a function whose value reverses in sign for a reversal in sign of its argument. i.e. f(x) = -f(-x).
Except f(x) = |x|3 all other functions mentioned in the choices change values.
Answer D
Answer: (D) f(x) = |x|3
Question: A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 22,680, then what is B's share in the profit?
(A) Rs. 2000
(B) Rs. 3000
(C) Rs. 4200
(D) Rs. 5200
(E) None of these
Rationale: Explanation :
Ratio of the initial investment = 7/2 : 4/3 : 6/5
= 105 : 40 : 36
From this ratio, we can assume that actual initial investments of A, B and C
are 105x, 40x and 36x respectively
A increases his share 50% after 4 months. Hence the ratio of their investments =
(105x * 4) + (105x * 150/100 * 8) : 40x * 12 : 36x : 12
= 105 + (105 * 3/2 * 2) : 40*3 : 36 * 3
= 105 * 4 : 40 *3 : 36 * 3
= 35 * 4 : 40 : 36
= 35 : 10 : 9
B's share = total profit * (10/54) = 22,680 * 10/54 = 4200. Answer : Option C
Answer: (C) Rs. 4200
Question: Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
(A) 16
(B) 77
(C) 99
(D) 14
(E) 12
Rationale: 4/18 + (x -7)/27 + x/36 = 1
x = 16 days. Answer: A
Answer: (A) 16
Question: Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 14% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $14,000 imported car and ended up paying $1440 in taxes, what is the first tier's price level?
(A) $1600
(B) $5333
(C) $6050
(D) $7050
(E) $8000
Rationale: Let T be the tier price, P be total price = 14000
Per the given conditions:
0.14T + 0.08(P-T) = 1440 ----> T=5333. B is the correct answer.
Answer: (B) $5333
Question: A train 500 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
(A) 298 m
(B) 300 m
(C) 800 m
(D) 967 m
(E) 1181 m
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (500 + x)/60 = 65/3
x = 800 m.
Answer: C
Answer: (C) 800 m
Question: Dacid obtained 86, 89, 82, 87 and 81 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
(A) 79
(B) 99
(C) 88
(D) 85
(E) 75
Rationale: Average = (86+89+82+87+81)/5
= 425/5 = 85.
Answer:D
Answer: (D) 85
Question: In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
(A) 26
(B) 48
(C) 11
(D) 56
(E) 7
Rationale: Speed in still water = 1/2(a+b)km/hr
=1/2(14+8)km/hr=11 km/hr.
Answer:C
Answer: (C) 11
Question: What is the are of an equilateral triangle of side 12 cm?
(A) 36âˆš3 cm2
(B) 74âˆš3 cm2
(C) 64âˆš3 cm2
(D) 64âˆš5 cm2
(E) 14âˆš3 cm2
Rationale: Area of an equilateral triangle = âˆš3/4 S2
If S = 12, Area of triangle = âˆš3/4 * 12 * 12 = 36âˆš3 cm2;
Answer:A
Answer: (A) 36âˆš3 cm2
Question: If one-third of one-fourth of a number is 18, then three-tenth of that number is:
A. 35
(A) 23
(B) 87
(C) 26
(D) 64.8
(E) 01
Rationale: Explanation:
The number is 1/3 of 1/4 is =15 then 1/3 Ã— 1/4 = 18
Number is 216 then 216 Ã— 3/10 = 64.8
Answer: D
Answer: (D) 64.8
Question: The true discount on a bill of Rs.4320 is Rs.720.The banker's discount is
(A) 862
(B) 864
(C) 866
(D) 868
(E) None of these
Rationale: Solution
P.W	= Rs.(4320 - 720)
= Rs. 3600
S.I on Rs. 4320	=Rs.(720/3600 x 4320)
= Rs. 864.
Answer B
Answer: (B) 864
Question: How many revolutions will it take for a circular wheel of 1.52 m radius to travel a distance of 1 km?
(A) 7554.2
(B) 3554.2
(C) 1554.2
(D) 9454.2
(E) 9554.3
Rationale: 2 * 22/7 * 1.52 * x = 9554.3
x = 1000
Answer: E
Answer: (E) 9554.3
Question: Pat, Kate, and Mark charged a total of 126 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?
(A) 18
(B) 36
(C) 72
(D) 70
(E) 108
Rationale: 70
all u do is do
2:1:6=>2x+x+6x=126=>x= 14
28:14:84
84-14=70
Answer D
Answer: (D) 70
Question: Find the area of a cuboid of length 12cm , breadth 6 cm . and height 10cm.
(A) 400 cm cube
(B) 410 cm cube
(C) 720 cm cube
(D) 730 cm cube
(E) 480 cm cube
Rationale: Area of a cuboid = lxbxh =12cm x 6cm x 10cm = 720 cm cube
answer :C
Answer: (C) 720 cm cube
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
(A) 20%
(B) 28%
(C) 22%
(D) 23%
(E) 29%
Rationale: SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
Answer:A
Answer: (A) 20%
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
(A) 15 kmph
(B) 10 kmph
(C) 12 kmph
(D) 12.5 kmph
(E) None of these
Rationale: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.
Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7
Solving the equation, the speed of man in still water is 12.5 kmph.
ANSWER:D
Answer: (D) 12.5 kmph
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
(A) 50 km
(B) 58 km
(C) 60 km
(D) 70 km
(E) 65 km
Rationale: A
50 km
Let the actual distance traveled be x km. Then,
x/10 = (x + 20)/14
4x - 200 =>x = 50 km.
Answer: (A) 50 km
Question: What is the area of a square field whose diagonal of length 30 m?
(A) 287
(B) 269
(C) 450
(D) 200
(E) 230
Rationale: d2/2 = (30 * 30)/2
= 450
Answer:C
Answer: (C) 450