mathewhe/aqua_rat huggingface dataset:
Question: One hour before John started walking from P to Q, a distance of 38 miles, Ann had started walking along the same road from Q to P. Ann walked at a constant speed of 3 miles per hour and John at 2 miles per hour. How many miles had Ann walked when they met?
(A) 6 miles
(B) 8,4 miles
(C) 19 miles
(D) 19,6 miles
(E) 24 miles
Rationale: Ann walks from Q to P at a speed of 3 miles/hr for one hour. She covers 3 miles in 1 hour and now distance between John and Ann is 38 - 3 =35 miles.
Ann walks at 3 mph and John at 2 mph so their relative speed is 3+2 = 5 mph.
They have to cover 35 miles so it will take them 35/5 = 7 hours to meet.
In 7 hrs, Ann would have covered 7 hrs * 3 miles per hour = 21 miles.
Adding this to the 3 miles she covered before John, Ann covered a total of 3 + 21 = 24 miles.
Answer (E)
Answer: (E) 24 miles
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 2x km.
(A) 16kmph
(B) 20kmph
(C) 25kmph
(D) 30kmph
(E) 35kmph
Rationale: Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8 hours
Average speed = 2x/(x/8)
= 16 kmph
Answer:A
Answer: (A) 16kmph
Question: A1, A2 and A3 enter into a partnership in the ratio 7/2 : 4/3 : 6/5 . After 4 months, A1 increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then A2's share in the profit is:
(A) 3000
(B) 3200
(C) 3450
(D) 4000
(E) 3570
Rationale: Ratio of initial investments = 7/2 : 4/3 : 6/5
= 105 : 40 : 36.
Let the initial investments be 105x, 40x and 36x.
=> A1 : A2 : A3 = 105x x 4 + 150/100 x 105x x 8 : (40x x 12) : (36x x 12)
= 1680x : 480x : 432x
= 35 : 10 : 9.
Hence, A2's share = Rs. 21600 x 10/54
= Rs. 4000. Answer : D
Answer: (D) 4000
Question: A lady builds 10cm length, 18cm width, and 4cm height box using 12cubic cm cubes. What is the minimum number of cubes required to build the box?
(A) 107
(B) 70
(C) 78
(D) 60
(E) 111
Rationale: Number of cubes required = Volume of box/Volume of cube
= 10*18*4/12
=60 cubes
ANSWER:D
Answer: (D) 60
Question: At a local supermarket, a box of cereal usually costs 18 dollars. This week, the supermarket sells the box of cereal for 12 dollars. How much money will you save if you buy this cereal at this supermarket?
(A) 5 dollars
(B) 3 dollars
(C) 6 dollars
(D) 2 dollars
(E) 4 dollar
Rationale: Solution:
In this situation, there is a decrease in the price.
Saving = 18 - 12 = 6 dollars
Option C
Answer: (C) 6 dollars
Question: A person covered one-fourth of the total distance at 20 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
(A) 21 (6/7)kmph
(B) 22 (6/7)kmph
(C) 21 (7/3)kmph
(D) 27 (6/7)kmph
(E) 21 (1/8)kmph
Rationale: Let the total distance be x km
total time taken = (x/4)/20 + (3x/4)/24 = x/80 + x/32 = 7x/160
Average speed = x/(7x/160) = 160/7kmph
= 22 (6/7)kmph.
Answer:B
Answer: (B) 22 (6/7)kmph
Question: 3 Years ago, the average age of a family of 5 members was 16 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
(A) 1 year.
(B) 1.5 Years.
(C) 2 Years.
(D) 3 Years.
(E) 4 Years.
Rationale: We're told that 3 YEARS AGO, the average age of a family of 5 members was 16 years.
This means that the SUM of their ages was (5)(16) = 80 years.
A baby was born (meaning that there are now 6 family members). We're told that the PRESENT average age of the family members is the SAME.
This means that the sum of the ages is (6)(16) = 96 years.
We're asked for the PRESENT age of the baby.
Since each of the original 5 family members has aged 3 years since the initial average was calculated, the sum of their PRESENT ages is...
80 + (5)(3) = 95.
A
Answer: (A) 1 year.
Question: After spending 40 percent machinery, 25 percent inbuilding , 15 percent in raw material and 5 percent on furniture. John had a balance of Rs.1305. Total money with him was?
(A) 7600
(B) 8700
(C) 9000
(D) 9200
(E) 9400
Rationale: [100 - (40+25+5+15)] % of x = 1305
\inline \Rightarrow 15% of x =1305
\inline \Rightarrow \frac{15}{100}\times x=1305
\inline \therefore x=\frac{1305\times 100}{15}=8700
B
Answer: (B) 8700
Question: Which of the following CAN be the least common multiple of two positive integers 4 and 6?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 12
Rationale: LCM of 4,6 is 12
Answer : E
Answer: (E) 12
Question: Last year, sales at Company Zora were 12% greater in February than in January, 15% less in March than in Feb, 30% greater in April than in March, 10% less in May than in April, and 5% greater in June than in May. In which month were sales closest to Jan?
(A) April
(B) March
(C) May
(D) Feb
(E) June
Rationale: Jan = $100
12% greater in February than in January ---> Feb = $112
15% less in March than in Feb ---> Mar = $95.2
30% greater in April than in March ---> Apr = $123.76
10% less in May than in April ---> May $111.38
5% greater in June than in May --->Jun = $116.95
Answer : B
Answer: (B) March
Question: A salesman's income consists of a commission and a base salary of $450 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?
(A) $150
(B) $245
(C) $365
(D) $715
(E) $265
Rationale: Total weekly income over 5 weeks=$406+$413+$420+$436+$395=$2070
For avg weekly income to be $500 over 7 weeks, we need total weekly income over 7 weeks=$3500
Now, $3500-$2070=$1430
From this, we subtract base salary for 2 weeks i.e $450*2=$900
Therefore, commission=$1430-$900=$530 for 2 weeks
Avg weekly commission=$265
Answer E
Answer: (E) $265
Question: From 6 officers and 10 clerks in how many can 5 be chosen to include exactly one officer?
(A) 1452
(B) 1562
(C) 2456
(D) 1260
(E) 660
Rationale: Required number of ways = 6C1 * 10C4 = 1260
Answer is D
Answer: (D) 1260
Question: Sally, Mark, Sarah, Steve and Jim are inheriting the money from their grandmother. She left them $527,500 to split equally between all of them. If the money is split equally, how much money will each person receive?
(A) $135,875
(B) $52,700
(C) $127,900
(D) $105,500
(E) $105,000
Rationale: There are 5 people inheriting the money.
We have to take the total of the inheritance and divide it by 5 for each person receiving money.
$527,500 / 5 = $105,500.
Therefore the correct answer is D.
Answer: (D) $105,500
Question: Every day Daniel drives 96 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?
(A) 10%
(B) 20%
(C) 30%
(D) 40%
(E) 50%
Rationale: Let's TEST X = 4....
On Sunday, Daniel drove 96 miles at 4 miles/hour.
D = (R)(T)
96 = (4)(T)
96/4 = 24 = T
It takes 24 hours to drive home
On Monday, Daniel drove the first 32 miles at (2)(4) = 8 miles/hour and the rest of the way (64 miles) at 4/2 = 2 miles/hour
D = (R)(T)
32 = (8)(T)
32/8 = 4 = T
It takes 4 hours for the first part
D = (R)(T)
64 = (2)(T)
64/2 = 32 = T
It takes 32 hours for the second part
Total time to drive home on Monday = 4+32 = 36 hours
We're asked by what percent 36 hours is greater than 32 hours.
36/32 = 1.5, so it is 50% greater.
E
Answer: (E) 50%
Question: When positive integer N is divided by positive integer D, the quotient is 16, with a remainder of 7. When N is divided by (D + 2), the quotient is 15 and the remainder is 1. What is the value of N?
(A) 151
(B) 391
(C) 511
(D) 691
(E) 871
Rationale: N/D=16 7/D= 16D+7
N/(D+2)=15 1/(D+2)=15D+30+1
solving these two equations
we get D=24 N= 391 answer is B.
Answer: (B) 391
Question: R campers fished for 4 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
(A) 2m + n(R-m)
(B) (2m + n(R-m))/3
(C) (2m + n(m-R))/3
(D) (2m + n)/3
(E) (2m + n)/4
Rationale: m of the campers caught 2 fish apiece in 4 hours --> total fish caught by m campers = 2m;
The rest caught a combined total of n fish.
Total fish caught in 4 hours = 2m+n --> per hour (2m+n)/4.
Answer: E.
Answer: (E) (2m + n)/4
Question: If f(2, 4) = 24 and f(1, 5) = 26, what is the value of f(2, 10)?
(A) 107
(B) 127
(C) 147
(D) 108
(E) Cannot be determined
Rationale: Solution:
The function f(a, b) = a3 + b2
f(2, 4) therefore is = 8 + 16 = 24 and
f(1,5) = 1 + 25 = 26
Therefore, f(2, 10) = 8 + 100 = 108
Answer D
Answer: (D) 108
Question: In a garden, there are three blue flowers, three red flowers, three green flowers, and three pink flowers. What is the probability that a florist will choose two flowers of the same color when randomly picking three flowers?
(A) 11/10
(B) 1/55
(C) 31/10
(D) 3/55
(E) 2/11
Rationale: P(all the same color) = P(1st flower is ANY colorAND2nd flower is same as first)
= P(1st flower is ANY color)xP(2nd flower is same as 1st)
= 1x2/11
=2/11
Answer: E
Answer: (E) 2/11
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 300 girls, the total number of
students in the college is
(A) 420
(B) 520
(C) 780
(D) 620
(E) None of these
Rationale: Explanation:
Let the boy are 8x and Girls are 5x
=> 5x = 300
=> x = 60
Total students = 8x+5x = 13x = 13(60) = 780
Answer: C
Answer: (C) 780
Question: What is the least number of digits (including repetitions) needed to express 10^400 in decimal notation?
(A) a) 401
(B) b) 100
(C) c) 101
(D) d) 1000
(E) e) 1001
Rationale: 10^n is a decimal number with a 1 followed by n zeros.
So 10^100 will include 400 0's + 1 digit for 1 = 401
So the answer is A
Answer: (A) a) 401
Question: The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 17 positive perfect squares?
(A) 1,010
(B) 1,164
(C) 1,240
(D) 1,316
(E) 1,785
Rationale: First we need to find the constant 'c'. The easiest way to find this is for the sum of the first two perfect squares for 1 and 2 = 1 and 4 respectively.
Hence LHS = 1+4 and plug n=2 for RHS and simplify to get c = 1/2.
Plug values of n = 17 and c = 1/2 into the equation and simplify to get the answer 1785.
Option E.
Answer: (E) 1,785
Question: A can give B 50 meters start and C 100 meters start in a kilometer race. How much start can B give C in a kilometer race?
(A) 111.12
(B) 111.67
(C) 111.64
(D) 52.63
(E) 101.12
Rationale: A runs 1000 m while B runs 950 m and C runs 900 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 900)/950 =947.37 m.
B can give C = 1000 - 947.37= 52.63m.
Answer:D
Answer: (D) 52.63
Question: A powder tin has a square base with side 8 cm and height 14 cm. Another tin has a circular base with diameter 8 cm and height 14 cm. The difference in their capacities is :
(A) 168 cm³
(B) 192 cm³
(C) 228 cm³
(D) 236 cm³
(E) None
Rationale: Sol.
Difference in capacities = [8 * 8 * 14 - 22/7 * 4 * 4 * 14] cm³
= 192cm³
Answer B
Answer: (B) 192 cm³
Question: The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
(A) 8
(B) 2
(C) 9
(D) 4
(E) 6
Rationale: Explanation:
[15000 * (1 + R/100)2 - 15000] - (15000 * R * 2)/100 = 96
15000[(1 + R/100)2 - 1 - 2R/100] = 96
15000[(100 + R)2 - 10000 - 200R]/10000 = 96
R2 = (96 * 2)/3 = 64 => R = 8
Rate = 8%
Answer: Option A
Answer: (A) 8
Question: 0, 1, 4, 15, 64, ____
(A) 225
(B) 325
(C) 125
(D) 145
(E) none
Rationale: 0,1,4,15,64.....
0*1+1=1
1*2+2=4
4*3+3=15
15*4+4=64
64*5+5=325
ANSWER:B
Answer: (B) 325
Question: Mangala completes a piece of work in 14 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
(A) 8 3/4 days
(B) 10 1/2 days
(C) 9 1/2 days
(D) 12 1/4 days
(E) 14 1/4 days
Rationale: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 14 × 30/44 = 9 1/2 days
C)
Answer: (C) 9 1/2 days
Question: A 4" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted?
(A) 7 blocks
(B) 8 blocks
(C) 9 blocks
(D) 10 blocks
(E) 11 blocks
Rationale: 4" cube is painted in all its faces and then it is cut down into 1" blocks.
Totally, 64 - 1" blocks
3 sides Painted are - 8 blocks
2 sides Painted are - 24 blocks
1 sides Painted are - 24 blocks
without a single face being Painted are - 8 blocks
ANSWER:B
Answer: (B) 8 blocks
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
(A) 1000
(B) 2090
(C) 2882
(D) 2770
(E) 2882
Rationale: 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer: A
Answer: (A) 1000
Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 570 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
(A) 8/3
(B) 3/8
(C) 38/15
(D) 5/8
(E) 5/3
Rationale: Distance traveled by Eddy = 570 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 570/3 = 190 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 300/4 = 75 km/hour
Ratio of average speed of Eddy to Freddy = 190/75 = 38/15
Answer C
Answer: (C) 38/15
Question: ?% of 360 = 180
(A) 277
(B) 36
(C) 50
(D) 72
(E) None of these
Rationale: ?% of 360 = 180
or, ? = 180×100/360=50
Answer C
Answer: (C) 50
Question: Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 8/15, what is the probability that Taylor makes exactly one basket in three tries?
(A) 45/120
(B) 45/113
(C) 45/130
(D) 35/130
(E) 35/113
Rationale: Probability of basket = 7/15
Probability of no basket = 8/15
Required probability= 3* 7/15*8/15*8/15=45/113
B is the answer .
Answer: (B) 45/113
Question: What least number should be added to 1536, so that the sum is completely divisible by 21?
(A) 16
(B) 17
(C) 18
(D) 19
(E) 20
Rationale: 1536÷21=73 Reminder -3
3+18 =21
Hence 18 should be added to 1536 so that the sum will be divisible by 21
answer :C
Answer: (C) 18
Question: A factory produces 5505 toys per week. If the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
(A) 4436 toys
(B) 5487 toys
(C) 1101 toys
(D) 2354 toys
(E) 1375 toys
Rationale: To find the number of toys produced every day, we divide the total number of toys produced in one week (of 5 days) by 5.
5505 /5 = 1101 toys
correct answer C
Answer: (C) 1101 toys
Question: If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
(A) 9:6:6
(B) 9:6:8
(C) 9:6:2
(D) 9:6:4
(E) 9:6:1
Rationale: A:B = 1/2:1/3 = 3:2
B:C = 1/2:1/3 = 3:2
--------------------
A:B:C = 9:6:4
Answer:D:
Answer: (D) 9:6:4
Question: Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 20 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 25 meters. What distance is she from the starting point and in which direction?
(A) 35 m East
(B) 35 m North
(C) 30 m West
(D) 45 m West
(E) 45 m East
Rationale: The net distance is 20 + 25 = 45 meters to the east.
The answer is E.
Answer: (E) 45 m East
Question: How much time will it take for an amount of Rs. 600 to yield Rs. 12 as interest at 2% per annum of simple interest?
(A) 8 years
(B) 4 years
(C) 7 years
(D) 1 years
(E) 2 years
Rationale: Explanation:
Time = (100 x 12)/(600 x 2) years
= 1 years.
Answer: D
Answer: (D) 1 years
Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 53, what is the value of x?
(A) 52
(B) 53
(C) 54
(D) 55
(E) 51
Rationale: AM of x, x + 2, and x + 4 = x + (x + 2) + (x + 4) / 3 = 3x + 6 /3 = x + 2
Given that x + 2 = 53
x = 51
Answer : E
Answer: (E) 51
Question: In the following questions, the following letters indicate mathematical operations as indicated below:
A: Addition; V: Equal to; S: Subtraction; W:Greater than; M: Multiplication; X: Less than; D: Division
Find Out of the four alternatives given in these questions, only one is correct according to the above letter symbols. Identify the correct one.
(A) 6 S 7 A 2 M 3 W 0 D 7
(B) 6 A 7 S 2 M 3 W 0 A 7
(C) 6 S 7 M 2 S 3 W 0 M 7
(D) 6 M 7 S 2 A 3 X 0 D
(E) 6 M 7 S 2 A 4 X 0 D
Rationale: Explanation:By BODMAS rule
6 – 7 + 3 × 2 > 0/7
Answer: A
Answer: (A) 6 S 7 A 2 M 3 W 0 D 7
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be a red king and the other card will be a black jack? A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.
(A) 1/32
(B) 1/64
(C) 1/128
(D) 1/169
(E) 1/338
Rationale: P(1 red king and 1 black jack) = 2(2/52*2/52) = 2(1/676) = 1/338
The answer is E.
Answer: (E) 1/338
Question: A furniture manufacturer has two machines, but only one can be used at a time. Machine S is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine S can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
(A) 14
(B) 13
(C) 11
(D) 9
(E) 7
Rationale: 'Approximately' could actually make such a question ambiguous. Not this one though but a similar question with the answer as 9.2 days. You round off 8.89 days as 9 days and everything is fine in this question. What do you do when you get 9.2 days? Do you need 9 days or 10 days? Can you round off 9.2 as 9 even though that is what you do with numbers? No, because in 9 days your work is not over. You do need 10 days.
To finish a work say Machine S you need to work full 9 days and a part of the 10th day. If I ask you how many days do you need to complete the work, will you say 9 or 10? You will say 10 even if you don't use the 10th day fully=D
Answer: (D) 9
Question: Lorna invests $5000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
(A) $1,000
(B) $1,600
(C) $2,200
(D) $4,400
(E) $5,840
Rationale: We have that 'x' invested at 6%
We also have that '6000-x' invested at 11%
Now then 580/5000 is approx 10%
Therefore, -4x+5000-x=0
5x=5000
x=1000 approximately. Probably higher
Only A matches
Answer: (A) $1,000
Question: The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 300,000 bacteria
(A) 10
(B) 12
(C) 14
(D) 16
(E) 18
Rationale: The question basically asks how many minutes it takes for a population to increase by factor 300 (300,000 / 1,000 = 300).
Now you know that every two minutes the population doubles, i.e. is multiplied by 2. So the equation becomes:
2^x >= 300, where x represents the number of times the population doubles. A lot of people remember that 2^10 = 1,024. Hence, 2^8 = 256, i.e. the population has to double 8 times.
Since it takes the population 2 minutes to double once it takes 8*2 minutes = 16 minutes to double 8 times.
Thus, solution D = 16 is correct.
Answer: (D) 16
Question: In what time will a train 90 meters long cross an electric pole, if its speed is 124 km/hr
(A) 5 seconds
(B) 4.5 seconds
(C) 3 seconds
(D) 2.6 seconds
(E) None of these
Rationale: Explanation:
First convert speed into m/sec
Speed = 124*(5/18) = 34 m/sec
Time = Distance/speed
= 90/34 = 2.6 seconds
Option D
Answer: (D) 2.6 seconds
Question: Find the number which when multiplied by 15 is increased by 196
(A) 10
(B) 12
(C) 14
(D) 16
(E) 18
Rationale: Explanation:
Let the number be x.
Then, 15x = x + 196
=› 14 x= 196
=› x = 14.
Option C
Answer: (C) 14
Question: Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $9.00 each, what was Company C’s gross profit?
(A)  $2,250
(B)  $2,900
(C)  $2,600
(D)  $3,250
(E)  $2,500
Rationale: Cost of 500 trucks: (100 * 5 ) + (400 * 3.5) = 500 + 1400 =$ 1900
Revenue : 500 * 9 = $4500
Profit: 4500 - 1900 = $ 2600
Option C is correct
Answer: (C)  $2,600
Question: A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 7 Gallons of water and 14 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
(A) 37.5
(B) 75
(C) 105
(D) 150
(E) 175
Rationale: Nope, 150. I can only get it by following PR's backsolving explanation. I hate that.
Original mixture has 20% salt and 80% water.
Total = x
Out of which Salt = 0.2x and water = 0.8x
Now, 1/4 water evaporates and all salt remains.
So what remains is 0.2x salt and 0.6x water.
Now 14 gallons salt is added and 7 gallons of water is added.
So salt now becomes -> (0.2x + 14) and water --> (0.6x+7)
Amount of salt is 33.33% of total. So amount of water is 66.66%. So salt is half of the volume of water.
So (0.2x+14) = (0.6x+7)/2 = > 0.2x = 21
Solving, x = 105
Answer : C
Answer: (C) 105
Question: A group of boy scouts and girls scouts is going on a rafting trip. 45% of the scouts arrived with signed permission slips. If 60% of the scouts were boy scouts and 25% of the boy scouts arrived with signed permission slips, then what percentage of the scouts were girl scouts who arrived with signed permission slips?
(A) 20
(B) 21
(C) 25
(D) 28
(E) 30
Rationale: We don't know how many scouts went on the trip, so let's assume 100 scouts went on the trip
60% were boy scouts so 60% of 100 = 60 were boy scouts
25% of the boy scouts brought their permission slips signed, so .25*60 = 15 boy scouts had signed slips
60-15=45 boy scouts did not
45% of all the scouts had signed slips, so .45*100 = 45 in total had signed slips
thus 45 - 15 = 30 girl scouts had signed slips
thus the percentage of scouts who were girl scouts arriving with signed permission slips is 30/100 = .30 = 30%
E
Answer: (E) 30
Question: Find the cost of fencing around a circular field of diameter 30m at the rate of Rs.1.50 a meter?
(A) A)Rs.150
(B) B)Rs.141.37
(C) C)Rs.100
(D) D)Rs.125
(E) E)Rs.225
Rationale: 2 * 22/7 * 15 = 94.24
94.24 * 1 1/2 = Rs.141.37
ANSWER:B
Answer: (B) B)Rs.141.37
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8450. If his salary for the month of May is Rs.6500, find his salary for the month of January?
(A) 2177
(B) 2876
(C) 4700
(D) 2981
(E) 2711
Rationale: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May = 4 * 8450 = 33800 ----(2)
(2)-(1) i.e. May - Jan = 1800
Salary of May is Rs.6500
Salary of January = Rs.4700.Answer: C
Answer: (C) 4700
Question: What is the next number in the sequence below?
1 4 9 16 25 36 49 __ ?
(A) 64
(B) 46
(C) 47
(D) 48
(E) 49
Rationale: as the series of numbers are squares of numbers
1^2=1
2^2=4
3^2=9
and so on
therefore 8^2=64
ANSWER:A
Answer: (A) 64