mathewhe/aqua_rat huggingface dataset:
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?
(A) 20cm
(B) 40cm
(C) 30cm
(D) 60cm
(E) 50cm
Rationale: Let breadth =x cm
Then, length =2x cm
Area =x×2x=2x2 sq.cm.
New length =(2x−5) cm
New breadth =(x+5) cm
New area =(2x−5)(x+5) sq.cm.
Given that, new area = initial area +75 sq.cm.
⇒(2x−5)(x+5)=2x2+75⇒2x2+10x−5x−25=2x2+75⇒5x−25=75⇒5x=75+25=100⇒x=1005=20 cm
Length =2x=2×20=40cm
Answer is B.
Answer: (B) 40cm
Question: 54 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
(A) A)57
(B) B)77
(C) C)66
(D) D)55
(E) E)67
Rationale: (54 * 8)/30
= (x * 6)/50
=> x =120
120 – 54
= 66
Answer:C
Answer: (C) C)66
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
(A) 3488
(B) 37799
(C) 6400
(D) 2777
(E) 2911
Rationale: Explanation:
Number of bricks \frac{800\times 600\times 22.5}{25\times 11.25\times 6} = 6400
Answer: C) 6400
Answer: (C) 6400
Question: There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
(A) 156
(B) 167
(C) 157
(D) 352
(E) 380
Rationale: The total number of stations = 20
From 20 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in ²⁰P₂ ways.
²⁰P₂ = 20 * 19
= 380.
Answer: E
Answer: (E) 380
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
(A) 335 cm2
(B) 885 cm2
(C) 285 cm2
(D) 825 cm2
(E) 725 cm2
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (15)
= 285 cm2
Answer: C
Answer: (C) 285 cm2
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
(A) 3388
(B) 2678
(C) 2977
(D) 6150
(E) 2769
Rationale: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1125
45k = 1125 => k = 25
246k = 246(25) = Rs. 6150
Thus the total rent paid by all the four agencies is Rs. 6150.
\Answer: D
Answer: (D) 6150
Question: Car X began traveling at an average speed of 35 miles per hour. After 48 minutes, car Y began traveling at an average speed of 39 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
(A) 105
(B) 140
(C) 175
(D) 210
(E) 245
Rationale: In 48 minutes, car X travels 28 miles.
Car Y gains 4 miles each hour, so it takes 7 hours to catch car X.
In 7 hours, car X travels 245 miles.
The answer is E.
Answer: (E) 245
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of A?
(A) 3002
(B) 3000
(C) 3018
(D) 3019
(E) 4000
Rationale: 60*5:36*6:75*3
100: 72: 75
100/247 * 9880 = 4000
Answer: E
Answer: (E) 4000
Question: If the cost price of 12 items is equal to the selling price of 16 items, the loss percent is
(A) 20%
(B) 25%
(C) 30%
(D) 35%
(E) None of these
Rationale: Explanation:
Let the Cost Price of 1 item = Re. 1
Cost Price of 16 items = 16
Selling Price of 16 items = 12
Loss = 16 - 12 = Rs 4
Loss % = (4/16)* 100 = 25%
Option B
Answer: (B) 25%
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) 21 Kmph
(D) 23 Kmph
(E) 27 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
Option 'A'
Answer: (A) 15 Kmph
Question: Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 5%. What is the approximate interest he pays annually?
(A) $1200
(B) $2000
(C) $2150
(D) $2500
(E) $12000
Rationale: since the options did not make sense with 5% annual rate of interest, it is apparent that the intent was a 5% quarterly rate. So the bank charges 5% every quarter and compounds it in the next quarter. Had it been a simple quarterly rate, we would have just found 4 * 5% of 10,000 = $2000 as our answer.
But since, the interest is compounded, it will be a bit more than $2000. Option (C) looks correct.
ANSWER:C
Answer: (C) $2150
Question: The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?
(A) 28%
(B) 50%
(C) 32%
(D) 34%
(E) 39%
Rationale: Male = 45,000* 5/9 = 25,000
Female = 45,000* 4/9 = 20,000
Married Male = 25,000* 40/100 = 10,000
Married Female = 10,000
20,000 ------------ 10,000
100 ------------- ? => 50%
Answer:B
Answer: (B) 50%
Question: How many odd numbers are possible between 1 to 100000000? find out the number of odd number of digits?
(A) 2999
(B) 3500
(C) 4000
(D) 4599
(E) 49999999
Rationale: There are always one odd and one even no. And the question is odd no. Between 1 to 100000000
So we have to find no. Between 1 to 100000000 so we should not includes 1
100000000/2 -1=49999999
ANSWER:E
Answer: (E) 49999999
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
(A) 2
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 31 = 19008 / 31 = 613, remainder = 5
C
Answer: (C) 5
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 4 minutes A is turned off. After how much more time will the cistern be filled?
(A) 6
(B) 8 1/1
(C) 8 1/4
(D) 8 1/2
(E) 8 3/7
Rationale: 4/12 + (4 + x)/15 = 1
x = 6
Answer: A
Answer: (A) 6
Question: If √a+√b=a+b means then (√a+√b)^2=?
(A) a^2+b^2
(B) a^2+b^2+2*a*b
(C) a+b
(D) √a^2+√b^2
(E) Cannot be determined
Rationale: Option B is answer.
√a+√b=a+b then (√a+√b)^2=(a+b)^2=a^2+b^2+2*a*b.
Answer: (B) a^2+b^2+2*a*b
Question: At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 36 males did not bring gifts to the party, how many females did bring gifts?
(A) 18
(B) 36
(C) 42
(D) 68
(E) 70
Rationale: the correct method
total = 300..
70% of 300 = 210 got gifts..
90 did not get gift, out of which 48 are males, so remaining 90-36=54 are females..
But 40% females brought gift, so 60% did not get it..
so 60% = 54, 100%= 54*100/60= 90..
ans 40% of 90 =36
B
Answer: (B) 36
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
(A) 18 sec
(B) 16 sec
(C) 76 sec
(D) 15 sec
(E) 17 sec
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec
Answer:B
Answer: (B) 16 sec
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
(A) 200
(B) 230
(C) 364
(D) 354
(E) 365
Rationale: A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Required number of ways = 14C11
= 14!/11!x3! = 364
C
Answer: (C) 364
Question: There are 300 seniors at Morse High School, and 40% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 15% of all the students at Morse have cars, how many students are in those other three lower grades?
(A) 600
(B) 900
(C) 1200
(D) 1350
(E) 1500
Rationale: Let the total no of students be n.
The no of seniors having cars is 40% of 300 i.e. 120.
The rest of the students with other three grades who have cars is 10% of (n-300).
The total no of students with cars is 15% of n.
Thus, 0.15n= 120+0.1(n-300)
On solving this, we get n=1800.
Hence, the no of students with other three grades is 1800-300, i.e. 1500 (E).
Answer: (E) 1500
Question: Calculate the circumference of a circular field whose radius is 2 centimeters.
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Rationale: Circumference C is given by
C = 2Ï€r = 2Ï€*2 = 4 Ï€ cm
correct answer B
Answer: (B) 4
Question: Two trains, each 100 m long are moving in opposite directions. They cross each other in 8 seconds. If one is moving twice as fast the other, the speed of the faster train is
(A) 75 km/hr
(B) 60 km/hr
(C) 35 km/hr
(D) 70 km/hr
(E) 80 km/hr
Rationale: Total distance covered = 100+100 = 200 m
Time = 8 s
let speed of slower train is v . Then the speed of the faster train is 2v
(Since one is moving twice as fast the other)
Relative speed = v + 2v = 3v
3v = 200/8 m/s = 25 m/s
=> v = 25/3 m/s
Speed of the faster train = 2v = 50/3 m/s = (50/3)×(36/10) km/hr
= 5×36/3 = 5×12
= 60 km/hr
ANSWER:B
Answer: (B) 60 km/hr
Question: A car crosses a 600 m long bridge in 5 minutes. Whatis the speed of car in km per hour?
(A) 1 m/sec
(B) 7.2 km/hr
(C) 3 m/sec
(D) 4 m/sec
(E) 5 m/sec
Rationale: Speed = 600 m/sec.
5 x 60
= 2 m/sec.
Converting m/sec to km/hr (see important formulas section)
= 2 x 18 km/hr
5
= 7.2 km/hr
B
Answer: (B) 7.2 km/hr
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
(A) 82.1 sec.
(B) 12.1 sec
(C) 19.1 sec.
(D) 17.1 sec.
(E) 42.1 sec.
Rationale: Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time = 242/20 = 12.1 sec.
Answer: B
Answer: (B) 12.1 sec
Question: When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 4x is divided by 9?
(A) 0
(B) 1
(C) 2
(D) 4
(E) 6
Rationale: i tried plugging in numbers
x = 9q+5
x = 14
4x = 56
4x/9 = 9*6+2
remainder is 2.
Answer is C
Answer: (C) 2
Question: In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?
(A) 16^4
(B) (4!)^4
(C) 16!/(4!)^4
(D) 16!/4!
(E) 4^16
Rationale: Total 16 different Gifts, and 4 children.
Thus any one child gets 16C4 gifts,
then the other child gets 12C4 gifts(16 total - 4 already given),
then the third one gets 8C4 gifts,
and the last child gets 4C4 gifts.
Since order in which each child gets the gift is not imp, thus, ans :
16C4 * 12C4 * 8C4 * 4C4 = 16! / (4!)^4
Ans : C.
Answer: (C) 16!/(4!)^4
Question: Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 19.6 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4PM ?
(A) 12.0
(B) 13.0
(C) 12.2
(D) 12.3
(E) 12.4
Rationale: let say the factor is x, the at 7PM quantity = 10 (i.e. quantity @1PM)* x^2 =19.6 => x^2 =1.96 or x = 1.3 => @4PM quantity = 10x =10*1.3 =13.
Answer B
Answer: (B) 13.0
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
(A) 288
(B) 200
(C) 999
(D) 277
(E) 271
Rationale: a2 = 3136 => a = 56
56 * 4 * 3 = 672 – 6 = 666 * 1.5 = 999
Answer:C
Answer: (C) 999
Question: Find the numbers which are in the ratio 3:2:2 such that the sum of the first and the second added to the difference of the third and the second is 20?
(A) 12,8,8
(B) 4,4,22
(C) 9,3,32
(D) 9,6,12
(E) 9,2,23
Rationale: Let the numbers be a, b and c.
a:b:c = 3:2:2
Given, (a + b) + (c - b) = 20
=> a + c = 20
=> 3x + 2x = 20 => x =4
a, b, c are 3x, 2x, 2x
a, b, c are 12, 8, 8.
Answer:A
Answer: (A) 12,8,8
Question: There is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall. There is one each bird sitting on top of both the towers. They fly at a constant speed and time to reach a grain in b/w the towers at the same time. At what distance from the church is the grain?
(A) 170 meters
(B) 160 meters
(C) 150 meters
(D) 140 meters
(E) 130 meters
Rationale: If x ft is the distance of grain from 200 ft tall tower, then
150^2 +(350-x)^2= 200^2 + x^2
then
x= 150 meters
ANSWER:C
Answer: (C) 150 meters
Question: How many 3-digit numbers are completely divisible 6 ?
(A) 149
(B) 150
(C) 151
(D) 166
(E) 172
Rationale: Explanation:
3-digit number divisible by 6 are: 102, 108, 114,... , 996
This is an A.P. in which a = 102, d = 6 and l = 996
Let the number of terms be n. Then tn = 996.
a + (n - 1)d = 996
102 + (n - 1) x 6 = 996
6 x (n - 1) = 894
(n - 1) = 149
n = 150
Number of terms = 150.
ANSWER IS B
Answer: (B) 150
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
(A) 1/8
(B) 1/4
(C) 2/5
(D) 2/7
(E) 1/1
Rationale: A
1/8
This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result.
4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.
Answer: (A) 1/8
Question: A train running at 1/3 of its own speed reached a place in 9 hours. How much time could be saved if the train would have run at its own speed?
(A) 8hrs
(B) 10hrs
(C) 12hrs
(D) 15hrs
(E) 6hrs
Rationale: time taken if run its own speed = 1/3*9 =3 hrs
Time saved = 9 - 3 = 6 hrs
Answer : E
Answer: (E) 6hrs
Question: The ratio of two numbers is 1:3 and the sum of their cubes is 945. The difference of number is?
(A) 5.23
(B) 1.23
(C) 3.93
(D) 3.23
(E) 4.23
Rationale: 1x 3x
1x cube + 27x cube = 945
28x cube = 945
x cube = 33.75 => x = 3.23
ANSWER:D
Answer: (D) 3.23
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
(A) 16 2/9%
(B) 16 3/3%
(C) 16 2/2%
(D) 13 2/3%
(E) 16 2/9%
Rationale: 600 ---- 100
100 ---- ? => 16 2/3%
Answer: D
Answer: (D) 13 2/3%
Question: If ‘DELHI’ is coded as ‘EFMIJ’, then ‘PUNE’ is coded as
(A) QVOF
(B) TGFR
(C) RFDE
(D) QVOO
(E) YHGT
Rationale: D= 4 = 4+1 = 5 = E
E = 5 =5+1 =6 = F
SIMILARLY,
P = 16 = 16+1 = 17 = Q
U = 21 = 21+1 = 22 = V
N = 14 = 14+1 = 15 = O
E = 4 = 4 +1 = 5 = F
SO ANS IS
QVOF
Answer: (A) QVOF
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
(A) 12
(B) 15
(C) 18
(D) 20
(E) 22
Rationale: Explanation:
Dividend on Rs. 20 = Rs. (9/100) x 20 = Rs.9/5.
Rs. 12 is an income on Rs. 100.
Rs.9/5 is an income on Rs.[ (100/12) x (9/5)] = Rs. 15.
Answer: B
Answer: (B) 15
Question: In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
(A) 75 cu. m
(B) 750 cu. m
(C) 7500 cu. m
(D) 75000 cu. m
(E) 7.50 cu. m
Rationale: 1 hectare = 10000 sq mtr
The volume of water that falls on 1.5 hectares of ground = 0.05*1.5*10000 = 75*10 cu, mtr = 750 cub mtr .
ANSWER:B
Answer: (B) 750 cu. m
Question: The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:
(A) 6.06%
(B) 6.07%
(C) 6.08%
(D) 6.09%
(E) 6.10%
Rationale: Explanation:
Amount of Rs. 100 for 1 year = Rs.[100 x (1 + 3/100)2]=Rs. 106.09
when compounded half-yearly
Effective rate = (106.09 - 100)% = 6.09%
ANSWER IS D
Answer: (D) 6.09%
Question: The compound interest earned on a sum for the second and the third years are $1400 and $1540 respectively. What is the rate of interest?
(A) 2%
(B) 4%
(C) 6%
(D) 8%
(E) 10%
Rationale: 1540 - 1400 = 140 is the rate of interest on $1400 for one year.
The rate of interest = (100 * 140) / (1400) = 10%
The answer is E.
Answer: (E) 10%
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/19
(A) a)22
(B) b) 6
(C) c) 10
(D) d) 16
(E) e) 32
Rationale: It seems that the accepted answer is wrong, according to WolframAlpha. The answer should be 32, which isn't even listed as a selectable answer.
A
Answer: (A) a)22
Question: P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 30 days to complete the same work. then Q alone can do it in
(A) 10
(B) 22
(C) 25
(D) 27
(E) 30
Rationale: Work done by P and Q in 1 day = 1/10
Work done by R in 1 day = 1/30
Work done by P, Q and R in 1 day = 1/10 + 1/30 = 4/30
But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written as Work done by P in 1 day Ã— 2 = 4/30
=> Work done by P in 1 day = 4/60
=> Work done by Q and R in 1 day = 4/60
Hence work done by Q in 1 day = 4/60 â€“ 1/30 =2/60 = 1/30
So Q alone can do the work in 30 days
Answer is E.
Answer: (E) 30
Question: 53, 53, 40, 40, 27, 27, ?
(A) 14
(B) 12
(C) 16
(D) 18
(E) 20
Rationale: First, each number is repeated, then 13 is subtracted to arrive at the next number.
Answer : A.
Answer: (A) 14
Question: what is the smallest integer that is multiple of 3,7 and 20
(A) 141
(B) 180
(C) 130
(D) 122
(E) 420
Rationale: Correct Answer :E
It is the lcm of 3,7 and 20 which is 420
Answer: (E) 420
Question: If a: b :: 3 : 7, then what is (5a+6b): (a-4b)?
(A) 57:11
(B) -57:11
(C) 11 : 10
(D) -57 : 25
(E) -1 : 10
Rationale: a/b= 3/7
Dividing numerator & denominator of ' (5a+6b)/(a-2b) 'by b,
[5(a/b)+6]/[(a/b)-4]= [5*(3/7)+6]/[(3/7)-4]= -57/25
ANSWER:D
Answer: (D) -57 : 25
Question: The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).
(A) 178.27
(B) 178.29
(C) 178.21
(D) 178.19
(E) 178.55
Rationale: Calculated average height of 35 boys = 180 cm.
Wrong total height of 35 boys = 180 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 180 * 35 cm - 166 cm + 106 cm
= 180 * 35 cm - 166 cm + 106 cm/35 = 180 cm - 60 /35 cm
= 180 cm - 1.71 cm = 178.29 cm.Answer:B
Answer: (B) 178.29
Question: If it takes a hrs for x to repair 1 machine and b hrs for y to repair 1 machine then how many hrs will they take to repair 750 machines if they work together?
(A) 750 × ab/(a+b)
(B) 750 (a+b)/ab
(C) 750 ab
(D) 750/(a+b)
(E) None of these
Rationale: Explanation:
x repair machine in a hrs he work 1/a for 1 hr
y repairs machine in b hrs he works 1/b for 1 hr
(x+y) work per 1 hr = 1/a+1/b= (a+b)/ab
time = ab/(a+b)
for 750 machines time = 750 × ab/(a+b)
Answer: Option A
Answer: (A) 750 × ab/(a+b)
Question: In a box of 11 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
(A) 5/11
(B) 16/33
(C) 28/55
(D) 38/77
(E) 45/88
Rationale: # defective pens = 3
# good pens = 8
Probability of the 1st pen being good = 8/11
Probability of the 2nd pen being good = 7/10
Total probability = 8/11 * 7/10 = 28/55
The answer is C.
Answer: (C) 28/55
Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
(A) 2338
(B) 2298
(C) 5000
(D) 2871
(E) 1171
Rationale: Explanation:
Given SP = Rs. 6800
Marked price = [SP(100)]/(100 - d%) = (6800 * 100)/(100 - 15) = Rs. 8000
If SP = Rs. 8000, profit = 60%
CP = [SP(100)]/(100 + 60) = (8000 * 100)/160 = Rs. 5000
Answer:C
Answer: (C) 5000
Question: A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
(A) 60%
(B) 70%
(C) 69%
(D) 71%
(E) 68%
Rationale: g% = 30 + 30 + (30*30)/100
= 69%
ANSWER:C
Answer: (C) 69%
Question: If A earns 99/3% more than B,how much percent does B earn less then A ?
(A) 42%
(B) 14%
(C) 25%
(D) 15%
(E) 35%
Rationale: Required Percentage = [((100/3)*100)/[100+(100/3)]]%
=[(100/400)*100]%=25%
Answer is C.
Answer: (C) 25%
Question: The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?
(A) 100
(B) 40
(C) 80
(D) 20
(E) 10
Rationale: Let the present age of the son =x
Then, present age of the father =(60−x)
Six years ago father's age was 5 times the age of the son
(60-X)-6=5(X-6)
84=6X
X=84/6=14
Son's age after 6 years
=X+6=14+6=20
answer is D.
Answer: (D) 20
Question: From the word 'HEARTLESS', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
(A) 5
(B) 8
(C) 3
(D) 2
(E) 9
Rationale: Explanation:
The words formed are
HE, ART, LESS, HEART and EAR
Answer: A) 5
Answer: (A) 5
Question: By the how much is two-fifth of 150 greater than three -fifths of 25?
(A) 15
(B) 3
(C) 45
(D) 30
(E) None of these
Rationale: Reqd no. = 2â„5 Ã— 150 - 3â„5 Ã— 25
= 60 - 15 = 45
Answer C
Answer: (C) 45
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least number of trees required
(A) 22
(B) 60
(C) 28
(D) 76
(E) 21
Rationale: Explanation:
The least number of trees that are required = LCM(4, 5, 6) = 60.
Answer: B
Answer: (B) 60
Question: Baker Adam is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
(A) 330
(B) 300
(C) 252
(D) 225
(E) 210
Rationale: Baker Adam is storing cake boxes in cartons The dimensions of the carton are 25x 42x 60and those of each cake box are 8x 7x 5.
To maximize number of boxes try and fit maximum into the base of the box. If you take the base as 25x 42and fit 5 x 6 boxes of 5x 7, then the total number of boxes is 5 x 6 x integer(60/8) = 5 x 6 x 7 = 210.
Alternatively you could try taking the base as 60x 42and fit 12 x 6 boxes of 5x 7, then the total number of boxes is 12 x 6 x integer(25/8) = 12 x 6 x 3 = 216. But since that is not an answer option, I go with (E) 210.
Answer: (E) 210
Question: During the second quarter of 1984, a total of 3,976,000 domestic cars were sold. If this was 32% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
(A) 714,240
(B) 2,261,760
(C) 2,400,000
(D) 3,012,121
(E) 3,915,790
Rationale: Let number of cars sold in 1st quarter = x
Number of cars sold in 2nd quarter = 32% greater than the number sold during the first quarter = (1 + 32/100)x = 1.32 x
1.32 x = 3,976,000
=> x = 3,012,121
So, answer will be D
Answer: (D) 3,012,121
Question: What is the difference between the place value and face value of 3 in the numeral 1375?
(A) 287
(B) 290
(C) 297
(D) 390
(E) 398
Rationale: place value of 3 = 3 * 100 = 300
face value of 3 = 3
300 - 3 = 297
C
Answer: (C) 297
Question: A certain sum of money doubles itself in 12 years in how much many years will it trible itself at the same rate?
(A) 20 years
(B) 76 years
(C) 24 years
(D) 44 years
(E) 11 years
Rationale: 100 ---- 100 --- 12
100 --- 12
--------------------
300 ---- 24 years
Answer: C
Answer: (C) 24 years
Question: Jerry, an electrician, worked 6 months out of the year. What percent
of the year did he work? (round answer to the nearest hundredth)
What percent 12 is 6? 12 months = 1 year
(A) 58.33%
(B) 68.33%
(C) 78.33%
(D) 50.00%
(E) 98.33%
Rationale: 1. Multiply the opposites
6 x 100 = 600
100=6/12
50% (rounded to hundredth)
correct answer D
Answer: (D) 50.00%