mathewhe/aqua_rat huggingface dataset:
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
(A) Rs. 4991
(B) Rs. 4993
(C) Rs. 4997
(D) Rs. 4999
(E) Rs. 5000
Rationale: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 x 6) - 34009 ]
= Rs. (39000 - 34009)
= Rs. 4991.
Option A
Answer: (A) Rs. 4991
Question: On increasing the number of lines in a page by 110, they become 240. What is the % of increase in the no. of lines in the page?
(A) 20%
(B) 305
(C) 50%
(D) 55%
(E) 84.6%
Rationale: Explanation : Number of pages increased = 110
Now , the number of pages of book = 240
Number of pages of the books before increase = 240 – 110 = 130
% increase in the number of pages in the book = 110 /130
x 100% = 84.6%
E
Answer: (E) 84.6%
Question: The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 3 years is
(A) Rs.9621
(B) Rs.6921
(C) Rs.9261
(D) Rs.6261
(E) Rs.6361
Rationale: c.i=p(1+r/100)^n
=8000(1+5/100)^3
=8000(21/20*21/20*21/20)
=Rs9261
ANSWER:C
Answer: (C) Rs.9261
Question: The present worth of Rs.676 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.625
(E) None
Rationale: Solution
Present Worth	= Rs.[676/(1+4/100)²]
= Rs.(676x25/26x25/26)
= Rs.625
Answer D
Answer: (D) Rs.625
Question: If 0.75: x :: 5:6, then x is equal to:
(A) 1.12
(B) 1.16
(C) 1.2
(D) 0.9
(E) None of these
Rationale: Explanation:
(x * 5) = (0.75 *6)
X=4.5/5 = 0.9
Answer: D
Answer: (D) 0.9
Question: A 40-liter solution of alcohol and water is 5 percent alcohol. If 5.5 liters of alcohol and 4.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
(A) 9%
(B) 11%
(C) 13%
(D) 15%
(E) 17%
Rationale: The percent of alcohol in the solution is (0.05(40) + 5.5) / 50 = 7.5/50 = 15%
The answer is D.
Answer: (D) 15%
Question: If a-b= 3 and a^2+b^2=29, find the value of ab
(A) 10
(B) 12
(C) 15
(D) 18
(E) 19
Rationale: 2ab = (a^2 + b^2) - (a - b)^2
= 29 - 9 = 20
=> ab = 10.
ANSWER:A
Answer: (A) 10
Question: A sum of money deposited at C.I. amounts to Rs.2560 in 3 years and to Rs.2989 in 4 years. Find the rate percent?
(A) 30%
(B) 10%
(C) 20%
(D) 16%
(E) 50%
Rationale: 2560 --- 429
100 --- ? => 16%
Answer: D
Answer: (D) 16%
Question: Machines P and Q are two different machines that cover jars in a factory. When Machine P works alone, it covers 15 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 15 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 15jars?
(A) 15n/225-mn
(B) m
(C) n
(D) m+n
(E) M-n
Rationale: working rate p = 15/m ; working rate pq =( 1/p +1/q)* n =15 or mn/15 +n/q =15 0r n/q = 15-mn/15 = 225-mn/15
q = 15n/225-mn
A
Answer: (A) 15n/225-mn
Question: Mike earns $14 per hour and Phil earns $12 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?
(A) 25%
(B) 32.5%
(C) 14%
(D) 37.5%
(E) 40%
Rationale: What % less of 14 is 12
let it be x % less ,then
=14(1-x/100)=12
1-x/100=12/14
x=100/7
x=14%
Ans C
Answer: (C) 14%
Question: How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph?
(A) 22 sec
(B) 27 sec
(C) 25 sec
(D) 24 sec
(E) 11 sec
Rationale: Explanation:
D = 100 + 120 = 220
S = 36 * 5/18 = 10 mps
T = 250/10 = 22 sec
Answer: Option A
Answer: (A) 22 sec
Question: A certain industrial loom weaves 0.13 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?
(A) 114
(B) 115
(C) 116
(D) 117
(E) 118
Rationale: Let the required number of seconds be x
More cloth, More time, (direct proportion)
Hence we can write as
(cloth) 0.13 : 15 :: 1 : x
=>0.13*x=15
=>x=15/0.13
=>x=115
ANSWER:B
Answer: (B) 115
Question: 25 onions on a scale weigh 5.12 kg. When 3 onions are removed from the scale, the average weight of the 22 onions is 200 grams. What is the average weight (in grams) of the 3 onions which were removed?
(A) 200
(B) 220
(C) 240
(D) 260
(E) 280
Rationale: 22*200=4400.
The other 3 onions weigh a total of 720 grams.
The average weight is 720/3 = 240 grams.
The answer is C.
Answer: (C) 240
Question: What approximate value should come in place of the question mark (?) in the following equation?
2.542 × 2408.69 + 1134.632 = ?
(A) 4600
(B) 4800
(C) 5200
(D) 6400
(E) 7200
Rationale: Explanation 6100 + 1100 = 7200
Answer E
Answer: (E) 7200
Question: From the sale of sleeping bags, a retailer made a gross profit of 14% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
(A) 3.0
(B) 3.36
(C) 24.56
(D) 25.0
(E) 31.36
Rationale: Cost price * 1.14 = Selling price --> Cost price * 1.14 = $28 --> Cost price = $24.56.
Answer: C.
Answer: (C) 24.56
Question: 275, 132, 462, 396, 327, 891, 121
(A) 327
(B) 228
(C) 2768
(D) 028
(E) 272
Rationale: Explanation:
In each number except 327, the middle digit is the sum of the other two.
ANSWER: A
Answer: (A) 327
Question: When 3 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?
(A) 32
(B) 81
(C) 60
(D) 27
(E) 90
Rationale: Explanation:
Let the number be
3 + 1/2[1/3(a/5)] = a/15
=> 3 = a/30 => a = 90
Answer:E
Answer: (E) 90
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
(A) 280
(B) 999
(C) 277
(D) 277
(E) 288
Rationale: x*(85/100) = (480 - x)119/100
x = 280
Answer: A
Answer: (A) 280
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
(A) 12 1/2
(B) 12 1/5
(C) 12 1/9
(D) 12 1/3
(E) 12 1/1
Rationale: 100 ---- 200 ---- 5
200 ---- 5
100 ---- 2 1/2
------------------
600 ---- 12 1/2 years.Answer: A
Answer: (A) 12 1/2
Question: A group of four Womens and three Mens have tickets for seven adjacent seats in one row of a theater. If the three mens will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?
(A) 7! – 5!3!
(B) 7! – 4!3!
(C) 7 × 2!3!2!
(D) 7! – 2!3!
(E) 2!3!2!
Rationale: There are 3 boys and 4 girls , we want to calculate the seating arrangements if three mens do not sit together, like MMM.
Let's calculate the # of arrangements when they SIT together and subtract from total # of arrangements of these 7 persons without restriction. Thus we'll get the # of arrangements asked in the question.
1. Total # of arrangements of 7 is 7!.
2. # of arrangements when 3 mens are seated together, like MMM;
Among themselves these 3 boys can sit in 3! # of ways,
Now consider these 3 boys as one unit like this {MMM}. We'll have total of 5 units: {MMM}{W}{W}{W}{W}. The # of arrangements of these 5 units is 5!.
Hence total # of arrangements when 3 men sit together is: 3!5!.
# of arrangements when 3 mens do not sit together would be: 7!-3!5!.
Answer: A).
Answer: (A) 7! – 5!3!
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 240 votes. The total number of votes polled was?
(A) votes
(B) votes
(C) votes
(D) votes
(E) votes
Rationale: Total = 100 %,
First person got 60%
second person got remaining 40 % of votes.
than 40 % = 240
40% = 40×7 = 240
100% =100×7 =700 votes
A)
Answer: (A) votes
Question: Thirty percent of the women in a college class are science majors, and the non-science majors make up 80% of the class. What percentage of the women are science majors if 40% of the class are men?
(A) 2%
(B) 5%
(C) 28%
(D) 30%
(E) 45%
Rationale: 3/k + 2/m = 6/t
Assuming total # is 100 :
[Science - Women] will have - 0.3 * 60 = 18
[Non-Science-Women] will have - 42
[Science-Men] will have = 20-18 = 2
S0 18/60 * 100 = 30%
Answer - D
Answer: (D) 30%
Question: The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160.The time after which it is due is :
(A) 6 months
(B) 8 months
(C) 9 months
(D) 10 months
(E) None
Rationale: Solution
P.W = Rs.(1760 - 160)= Rs.1600. ∴ S.I. on Rs.1600 at 12% is Rs.160. ∴ Time =(100x160/1600x12 ) = 5/6years = ( 5/6x12) months = 10 months
Answer D
Answer: (D) 10 months
Question: Albert invested amount of 24000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit
(A) Rs. 8510
(B) Rs. 26460
(C) Rs. 8730
(D) Rs. 8820
(E) None of these
Rationale: Explanation:
=>(24000×(1+5/100)2)
=>24000×21/20×21/20
=>26460
Option B
Answer: (B) Rs. 26460
Question: In a business A and C invested amounts in the ratio 2 : 1. Whereas the ratio between amounts invested by A and B was 3 : 2. If 1,57,300 was their profit, how much amount did B receive?
(A) 72,600
(B) 48,400
(C) 36,300
(D) 24,200
(E) None of these
Rationale: Ratio A : B = 3 : 2 and A : C = 2 : 1
\ A : B : C = 6 : 4 : 3
Profit share of B = 4 × 1,57,300 = 48400
Answer B
Answer: (B) 48,400
Question: On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 3 out of 5 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.
(A) 2/25
(B) 4/75
(C) 7/75
(D) 3/5
(E) 4/5
Rationale: Probability of sand dune blown out = 2/3
Probability that it has treasure = 1/5
Probability that it has lucky coupon = 3/5
total probability = 2/3 * 1/5 * 3/5 = 2/25
ANSWER:A
Answer: (A) 2/25
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
(A) 111.12
(B) 188.93
(C) 111.17
(D) 111.89
(E) 131.12
Rationale: A runs 1000 m while B runs 900 m and C runs 800 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 800)/900 = 8000/9
= 888.88 m.
B can give C = 1000 - 888.88
= 111.12 m.
Answer:A
Answer: (A) 111.12
Question: Angelina walked 840 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
(A) 2
(B) 3
(C) 4
(D) 16
(E) 30
Rationale: let the speed be X...
so time taken from home to grocery= 840/x..
the speed to gym = 2x..
so time taken = 480/2x=240/x..
its given 840/x-240/x=40..
600/x=40..
x=15m/secs..
so grocery to gym=2*15=30m/s...
E
Answer: (E) 30
Question: A radio station has to choose seven days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any three of the seven weekdays can be chosen. How many different three-day combinations of the seven weekdays can be constructed?
(A) 9
(B) 15
(C) 1
(D) 35
(E) 56
Rationale: Behind the story, we are really being asked to evaluate 7C7. We could use the factorial formula, but above we conveniently happen to have Pascal’s Triangle written out to the seventh row. We see that 7C7, the third entry of the seventh row, is 1. Answer = C.
Answer: (C) 1
Question: A man purchases the milk at Rs. x/litre and sells it at Rs. 2x/liter stillhe mixes 2liters water with every 6liters of pure milk. Whatis the profit %?
(A) 120%
(B) 145%
(C) 145.6%
(D) 166.66%
(E) 167%
Rationale: Let the cost price of 1 litre pure milk be Re.1, then
\inline{6litres(milk)→CP=Rs.62litres(water)→CP=Rs.0}{6litres(milk)→CP=Rs.62litres(water)→CP=Rs.0}\rightarrow CP=Rs.6 only
and 8 litre mixture \rightarrow SP \rightarrow 8 x 2 = Rs.16
Profit %= 166.66%
D
Answer: (D) 166.66%
Question: Given that m/m < 1, and both m and n are positive integers, which one of the following must be greater than 1?
(A) m/n^2
(B) m^2/n
(C) m^2/n^2
(D) n/m
(E) √(m/n)
Rationale: Since m/n is a fraction n must always be > 1
Given -
Which one of the following must be greater than 1
We can get the result one only when the denominator in m/n ( Which is less than 1 ) becomes numerator..
Among the given options only (D) has the required characteristic we are looking for...
Hence answer will be (D)
Answer: (D) n/m
Question: A ball is bought for Rs.400 and sold at a gain of 20% find its selling price?
(A) Rs.480/-
(B) Rs.490/-
(C) Rs.500/-
(D) Rs.520/-
(E) Rs.540/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
120 % ------> 480 (120 * 4 = 480)
Selling price = Rs.480/-
A
Answer: (A) Rs.480/-
Question: A rectangular box has two sides whose
lengths are 3 centimeters and 9 centimeters
and a volume of 135 cm3. What is the area
of its largest side?
(A) 27 cm2*square
(B) 36 cm2*square
(C) 39 cm2*square
(D) 45 cm2*square
(E) 48 cm2*square
Rationale: The box has dimensions of 3 and 9 and a volume of 135, so plug these values into the
formula for the volume of a box:
V=lwh=>
135=(3)(9)h=>
135=27h=>
5h
So the remaining dimension of the box is 5. The two longest dimensions are 5 and 9, so the
area of the largest side is 5 × 9 = 45
correct answer D)45 cm2*square
Answer: (D) 45 cm2*square
Question: Abinaya had 100 currency notes in all, some of which are of Rs 80 denomination and the remaining of Rs 50 denomination. The total amount of all these currency notes was Rs. 5000. How much amount (in Rs) did she have in the denomination of Rs 50?
(A) 96
(B) 90
(C) 98
(D) 100
(E) 95
Rationale: Let the number of 50-rupee notes = x
Then, the number of 80-rupee notes = (100 – x)
50x + 80(100 – x) = 5000 : x = 100
ANSWER:D
Answer: (D) 100
Question: Father’s age is three years more than three times the son’s age.
After three years, father’s age will be ten years more than twice the son’s age.
What is the father’s present age.
(A) 31
(B) 32
(C) 33
(D) 34
(E) 35
Rationale: F = 3S +3
F+3 = 10 + 2*(S+3)
3S+3 +3 = 10+2S+6
S = 10 yrs
F= 3+30=33 years
ANSWER:C
Answer: (C) 33
Question: Find the simple interest on $10000 at 6% per annum for 12 months?
(A) $410
(B) $500
(C) $600
(D) $710
(E) $1000
Rationale: P = $10000
R = 6%
T = 12/12 YEARS = 1 YEAR
S.I. = P*R*T/100 = 10000*6*1/100 = $600
Answer is C
Answer: (C) $600
Question: The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to x% of stall’s revenue and accounted for y% of sales of juice tetra packs. Which of the following expresses x in terms of y?
(A) 100y/(150 – y)
(B) 200y/(250-y)
(C) 200y/(300-y)
(D) 250y/(400-y)
(E) 300y/(500-y)
Rationale: 1. Let the number of units sold be 100. Then y units of A are sold and (100-y) units of B are sold.
Total revenue= Revenue due to A + Revenue due to B
= (No.of units of A sold * Cost/unit of A) + (No.of units of B sold * cost/unit of B)
= y *1 + (100-y) *1.5
= y + (150-1.5y) --- (1)
2. But we know, revenue due to A = x%. of the total revenue --- (2)
3. To express x in terms of y we need to relate (1) and (2)
4. x% = y / ( y + (150-1.5y))
or x= 100y / 150-0.5y = 200y/(300-y)
C
Answer: (C) 200y/(300-y)
Question: In a hostel there were 100 students. To accommodate 45 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
(A) A)Rs.5800
(B) B)Rs.5480
(C) C)Rs.2900
(D) D)Rs.5900
(E) E)Rs.5430
Rationale: 100x + 400
= 145(x – 5)
x = 25
100 * 25 + 400
= 2900
Answer:C
Answer: (C) C)Rs.2900
Question: If log10 2 = 0.3010, the value of log10 80 is:
(A) 1.903
(B) 1.603
(C) 1.758
(D) 1.205
(E) 1.3056
Rationale: log10 80	= log10 (8 x 10)
= log10 8 + log10 10
= log10 (2^3 ) + 1
= 3 log10 2 + 1
= (3 x 0.3010) + 1
= 1.9030.
ANSWER A
Answer: (A) 1.903
Question: If x = 3^9 and x^x = 3^k, what is k?
(A) 3^11
(B) 3^13
(C) 3^25
(D) 3^27
(E) 3^81
Rationale: Solution:
We know that x=3^9
which implies x^x = (3^9)^(3^9) = 3^(9 * 3^9) [because (x^y)^z = x^(y*z))]
so 3^(3^2 * 3^9) = 3^(3^(2+9)) [because x^a * x^b = x^(a+b)]
therefore x^x = 3^(3^11)
Given that x^x=3^k
so 3^(3^11) = 3^k
Since the base is same the exponent will also be same
therefore k = 3^11
Answer: A
Answer: (A) 3^11
Question: Robert's salary was decreased by 20% and subsequently increased by 20%. how much percentage does he lose?
(A) 4%
(B) 20%
(C) 25%
(D) 30%
(E) 50%
Rationale: let original salary be $100
Salary after decreasing 20% = 100 - 100 x 20/100 = $80
Salary after increasing 20% on $80 = 80 + 80 x 20/100 = $96
Percentage of loss = 100 - 96 = 4%
Answer : A
Answer: (A) 4%
Question: A bullet train 130 m long is running with a speed of 50 kmph. In what time will it pass a man who is running at 10 kmph in the direction opposite to that in which the bullet train is going?
(A) 23 sec
(B) 13 sec
(C) 12 sec
(D) 11 sec
(E) 16 sec
Rationale: B
13 sec
Speed of the bullet train relative to man = (50 + 10) kmph
= 60*5/18 m/sec = 30/3 m/sec.
Time taken by the bullet train to cross the man = Time taken by it to cover 130 m at (30/3) m / sec
= (130*3/30) sec = 13 sec
Answer: (B) 13 sec
Question: A book is bought for $60 and sold for $78. What is the profit in percentage?
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
Rationale: 78/60 = 1.3
The answer is C.
Answer: (C) 30
Question: Two bullet trains of equal lengths take 10 seconds and 50 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
(A) 13 sec.
(B) 15 sec.
(C) 12 sec.
(D) 17 sec.
(E) 16.7 sec.
Rationale: Speed of the first bullet train = 120/10 m/sec = 12 m/sec.
Speed of the second bullet train = 120/50 m/sec = 2.4 m/sec.
Relative speed = (12 + 2.4) = 14.4 m/sec.
Required time = (120 + 120)/14.4 sec = 16.7 sec.
E
Answer: (E) 16.7 sec.
Question: Convert 30miles into yards?
(A) 25630 yards
(B) 35200 yards
(C) 52800 yards
(D) 42560 yards
(E) 41520 yards
Rationale: 1 mile = 1760 yards
30 miles = 30*1760 = 52800 yards
Answer is C
Answer: (C) 52800 yards
Question: x varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to?
(A) 1/5
(B) 1/8
(C) 1/3
(D) 1/9
(E) 1/2
Rationale: Given x = k/y2, where k is a constant.
Now, y = 2 and x = 1 gives k = 4.
x = 4/y2 => x = 4/62, when
y = 6 => x = 4/36 = 1/9.
Answer: D
Answer: (D) 1/9
Question: Frank the Fencemaker needs to fence in a rectangular yard. He fences in the entire yard, except for one full side of the yard, which equals 40 feet. The yard has an area of 320 square feet. How many feet offence does Frank use?
(A) 14
(B) 47
(C) 54
(D) 56
(E) 240
Rationale: Area = Length x Breadth
320 = 40 x Breadth
So, Breadth = 8 Units
Fencing required is -
Breadth + Breadth + Length
8 + 8 + 40 => 56 feet
Answer must be (D) 56
Answer: (D) 56
Question: There are 39 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
(A) 39
(B) 40
(C) 55
(D) 58
(E) 63
Rationale: {Total} = {M} + {N} - {Both}
{Total} = 39 + 28 - 12 = 55.
Answer: C.
Answer: (C) 55
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
(A) 18 km/hr
(B) 26 km/hr
(C) 36 km/hr
(D) 42 km/hr
(E) 52 km/hr
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (120 + 120)/12
--> 2x = 20
--> x = 10.
--> Speed of each train = 10 m/sec = 10 x 18/5 km/hr = 36 km/hr.
Answer : C.
Answer: (C) 36 km/hr
Question: What is the present worth of Rs. 143 due in 2 years at 5% simple interest per annum?
(A) 288
(B) 266
(C) 120
(D) 277
(E) 130
Rationale: Let the present worth be Rs. x. Then,
S.I. = (143 - x)
(x * 5 * 2) / 100 = (143 - x)
10x = 14300 - 100x
110x = 14300 => x = 130.
Answer: E
Answer: (E) 130
Question: A and B started a business jointly A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is ?
(A) 28029
(B) 28000
(C) 28001
(D) 28012
(E) 28129
Rationale: Suppose B invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.
So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.
B's profit : Total profit = 1 : 7.
Let the total profit be Rs. x Then, 1/7 = 4000/x or x = 28000.
Answer: B
Answer: (B) 28000
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
(A) 140
(B) 149
(C) 148
(D) 17
(E) 143
Rationale: Given that the area of the square = 1225 sq.units
=> Side of square = √1225 = 35 units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 14 * 10 = 140 sq.units
Answer: Option A
Answer: (A) 140
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
(A) 16 hours
(B) 15 hours
(C) 18 hours
(D) 17 hours
(E) None of these
Rationale: Explanation:
Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/9
=> 1/x = 1/6 - 1/9 = (3 - 2)/18 = 1/18
=> x = 18.
ANSWER IS C
Answer: (C) 18 hours
Question: Today is Thursday. I came home from a trip 3 days before the day after last Monday. How many days have I been home?
(A) 1 day
(B) 2 days
(C) 7 days
(D) 6 days
(E) 10 days
Rationale: D
6 days
The day after last Monday was Tuesday. If I came home 3 days before that, I came home on Saturday, Sunday, Monday, Tuesday, Wednesday, and Thursday = 6 days.
Answer: (D) 6 days
Question: In a right angled triangle, two sides are consecutive whole number in which one side is hypotenuse. what could be the possible length of third side?
(A) 360
(B) 361
(C) 362
(D) 363
(E) 364
Rationale: (x+1)--> hypotenuse
x--> base
h--> height
x^2 + h^2 = (x+1)^2
x^2 + h^2 = x^2 + 1 + 2x
h^2 = 1 + 2x
now put the value given in the option in place of h,
the value of h that give the whole no. value of x is the right answer
i.e 361
ANSWER:B
Answer: (B) 361
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
(A) 4
(B) 6
(C) 7
(D) 8
(E) 2
Rationale: 45*12 : 54*x = 2: 1
x = 5
12 -5 = 7
Answer: C
Answer: (C) 7
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
(A) 8
(B) 9
(C) 7
(D) 5
(E) 4
Rationale: Explanation:
x â€“ y = 5
4x â€“ 6y = 6
x = 12 y = 7
Answer:C
Answer: (C) 7
Question: If two integers x, y (x>y) are selected from -10 to 11 (inclusive), how many possible cases are there?
(A) 150
(B) 180
(C) 190
(D) 210
(E) 231
Rationale: If two integers x, y (x>y) are selected from -10 to 9 (inclusive), how many possible cases are there?
A. 150
B. 180
C. 190
D. 210
E. 240
--> 22C2=22*21/2=231. Therefore, the answer is E.
Answer: (E) 231
Question: A 49 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
(A) 12
(B) 20
(C) 88
(D) 77
(E) 14
Rationale: 1: 2/5 = 5: 2
2/7 * 49 = 14
Answer: E
Answer: (E) 14
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 25 years older than Ayush who is 10 years old. At what age did the father get married ?
(A) 28years
(B) 29years
(C) 30years
(D) 31years
(E) 32years
Rationale: Explanation:
Ayush's present age = 10 years.
His mother's present age = (10 + 25) years = 35 years.
Ayush's father's present age = (35+ 5) years = 40 years.
Ayush's father's age at the time of Ayush's birth = (40 - 10) years = 30 years.
Therefore Ayush's father's age at the time of marriage = (30 - 2) years = 28 years.
Answer: A) 28 year
Answer: (A) 28years