mathewhe/aqua_rat huggingface dataset:
Question: A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:
(A) 1.8h
(B) 3h
(C) 4h
(D) 5h
(E) None of these
Rationale: Explanation:
Upstream speed = B-S
Downstream speed = B + s
B - S = 15/5 = 3 km/h
Again B = 4S
Therefore B - S = 3 = 3S
=> S = 1 and B = 4 km/h
Therefore B + S = 5km/h
Therefore, Time during downstream = 15/5 = 3h
Answer: B
Answer: (B) 3h
Question: Difference between the length &breadth of a rectangle is 18 m. If its perimeter is 206 m, then its area is?
(A) 2400 m^2
(B) 2160 m^2
(C) 2520 m^2
(D) 2560 m^2
(E) 2580 m^2
Rationale: Solving the two equations, we get: l = 54 and b = 40.
Area = (l x b) = (54 x 40) m2 = 2160 m^2
B
Answer: (B) 2160 m^2
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) 79.2
(B) 80
(C) 82.5
(D) 88.3
(E) 95.3
Rationale: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
ANSWER A
Answer: (A) 79.2
Question: The area of a rectangular field is equal to 50 square meters. Its perimeter is equal to 30 meters. Find the width of this rectangle.
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
Rationale: L * W = 50 : area , L is the length and W is the width.
2 L + 2 W = 30 : perimeter
L = 15 - w : solve for L
(15 - W) * W = 30 : substitute in the area equation
W = 5 and L = 10
correct answer A
Answer: (A) 5
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
(A) 7
(B) 1
(C) 8
(D) 6
(E) 9
Rationale: 100 ---- 300 --- 3
900 --- 3
----
6 years
Answer:D
Answer: (D) 6
Question: Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
(A) 13/109
(B) 13/162
(C) 13/111
(D) 13/102
(E) 13/112
Rationale: Let S be the sample space.
Then, n(S) = \inline {\color{Black}52C_{2} }=(52 x 51)/(2 x 1) = 1326.
Let E = event of getting 1 spade and 1 heart.
n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = \inline {\color{Black}13C_{1}\times 13C_{1} } = 169.
P(E) = n(E)/n(S) = 169/1326 = 13/102.
Answer: D) 13/102
Answer: (D) 13/102
Question: The sides of the triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104cm. The length of the longest side is?
(A) 32cm
(B) 48cm
(C) 50cm
(D) 28cm
(E) 30cm
Rationale: Ratio of sides = 1/2 : 1/3 : 1/4 = 6:4:3
Largest side = 104*6/13 = 48cm
Answer is B
Answer: (B) 48cm
Question: A sells a bicycle to B and makes a profit of 25%. B sells the same bicycle to C at a profit of 50%. If the final S.P. of the bicycle was Rs. 225, find out the cost price of the bicycle for A.
(A) 237
(B) 126
(C) 971
(D) 611
(E) 120
Rationale: Explanation:
Let CP be 100
A sells at 25% profit so SP=125
B sells at 50% profit = 125 x (1+50/100) = 187.5
CP ---SP
100---187.5
x --- 225
CP = 225 x 100/187.5 = 120
ANSWER: E
Answer: (E) 120
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
(A) 8112
(B) 8000
(C) 8500
(D) 7500
(E) 6500
Rationale: A = 7500(26/25)2 = 8112
ANSWER A
Answer: (A) 8112
Question: How many times are the hands of a clock at right angle in a day?
(A) 22
(B) 24
(C) 44
(D) 48
(E) 55
Rationale: Solution
In 12 hours, they are at right angles 22 times.
Therefore, In 24 hours, they are at right angles 44 times.
Answer C
Answer: (C) 44
Question: A person got Rs.35 more when he invested a certain sum at compound interest instead of simple interest for two years at 12% p.a. Find the sum?
(A) 7500
(B) 14583
(C) 15449
(D) 14567
(E) 2671
Rationale: P = (d * 1002) / R2
=> (35 * 100 * 100) / 12 * 12 = Rs.14583
Answer:B
Answer: (B) 14583
Question: If a large pizza has a radius that is 60% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
(A) 30%
(B) 60%
(C) 98%
(D) 120%
(E) 156%
Rationale: Let the radius of medium pizza be r. Then the radius of large pizza is 1.6r.
The area of the medium pizza is pi*r^2
The area of the large pizza is pi*(1.6*r)^2 = 2.56*pi*r^2, an increase of 156%.
The answer is E.
Answer: (E) 156%
Question: A boy is traveling from his house to school at 10km/hr and reached school 2hours late. Next day he traveled 20km/hr and reached 1hour early. Then find the distance between house and school?
(A) 50km
(B) 45km
(C) 33km
(D) 60km
(E) 54km
Rationale: Let distance be x
S1 = 10km/hr
S2 = 20km/hr
T1 = x/10hr
T2 = x/20hr
Difference in time = 2+1 = 3hr
(x/10)-(x/20) = 3
x = 60km
Answer is D
Answer: (D) 60km
Question: How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?
(A) 22 sec
(B) 27 sec
(C) 25 sec
(D) 24 sec
(E) 28 sec
Rationale: Explanation:
D = 100 + 180 = 280
S = 36 * 5/18 = 10 mps
T = 280/10 = 28 sec
Answer: Option E
Answer: (E) 28 sec
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 81 more candidates got selected than A. What was the number of candidates appeared from each State?
(A) 7000
(B) 8100
(C) 6000
(D) 5000
(E) 4000
Rationale: State A and State B had an equal number of candidates appeared.
In state A, 6% candidates got selected from the total appeared candidates
In state B, 7% candidates got selected from the total appeared candidates
But in State B, 81 more candidates got selected than State A
From these, it is clear that 1% of the total appeared candidates in State B = 81
=> total appeared candidates in State B = 81 x 100 = 8100
=> total appeared candidates in State A = total appeared candidates in State B = 8100
Answer: (B) 8100
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 40%?
(A) 282
(B) 332.5
(C) 277
(D) 285
(E) 2812
Rationale: Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 40)/100] = Rs. 332.5.
Answer:B
Answer: (B) 332.5
Question: There are 7 people and 4 chairs. In how many different ways people can occupy the chairs?
(A) 840
(B) 1020
(C) 712
(D) 516
(E) 360
Rationale: number of ways = 7*6*5*4 = 840
Answer is A
Answer: (A) 840
Question: x is a positive integer of Z less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
Rationale: Took me more than 2 mins to solve.
That's how I did it.
x is between 1-499 included.
Smallest number that can be written as 7n+1 (7*0+1) is 1
Largest number that can be written as 7n+1 is (7*71 +1) is 498
So there are total 72 numbers that can be written as 7n+1
Because x can also be written as 3m+2, we have to see how many numbers that can be written as 7n+1 also can be written as 3m+2
7*0+1 can not be written in the form 3m+2
7*1+1 can be written in the form 3m+2
7*2+1 can not be written in the form 3m+2
7*3+1 can not be written in the form 3m+2
7*4+1 can be written in the form 3m+2
Here we see a sequence that one out of every 4 numbers can be written as 3m+1
72/4= 24 numbers can be written as 3m+1
D is the answer
Answer: (D) 24
Question: Two friends Simpson & Stewie decide to get together
So they start driving cars towards each other. They plan to meet halfway. Each is riding at 6 Km/hr. They live 36 kms apart. Stewie has a pet "eagle" and it starts flying the instant they start traveling. The eagle flies back and forth at 18 Km/hr between them until the two meet.
How many kms does the eagle travel ?
(A) 54 kms
(B) 44 kms
(C) 34 kms
(D) 24 kms
(E) 14 kms
Rationale: Solution:
54
It takes 3 hours for the Simpson & Stewie to meet.
so the eagle flies for 3 hours at 18 Km/hr = 54 kms
Answer A
Answer: (A) 54 kms
Question: In the manufacture of a certain product, 8 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
(A) 0.2%
(B) 0.4%
(C) 0.8%
(D) 1.2%
(E) 2.0%
Rationale: 0.08*0.05 = 0.004 = 0.4%
The answer is B.
Answer: (B) 0.4%
Question: How many five digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
(A) 360
(B) 720
(C) 278
(D) 279
(E) 274
Rationale: The given digits are six.
The number of four digit numbers that can be formed using six digits is
6P5 = 6 * 5 * 4 * 3 * 2
= 720.
Answer: B
Answer: (B) 720
Question: ABCD IS A square AEGF IS A rectangle..such that the rectangle shares 25% of the area of the suare ALSO AE lies ON THE LINE AB and AG lies on segment of AD.if the square shares half the area of the rectangle what is the ratio AE:AG?
(A) 1:4
(B) 8:1
(C) 4:1
(D) 3:1
(E) 1:3
Rationale: A------------B - - - - - -- -E
| | 50% |
G------------|- - - - - - - -F
| |
| 75% |
D -----------C
remaining Square 75% and remaining rectangle 50%
Rectangle share 25% area of Square so,
AB X AG = (AD X AB)/4
AD = 4 AG------------------(1)
Square share Half the area of Rectangle So,
AG X AB = (AE X AG)/2
AB = AE/2------------------(2)
in square all sides are equal i.e. AB=BC=CD=AD so, equation (1) and (2) both are equal
AE/2 = 4 AG
AE/AG = 8
AE : AG = 8:1
ANSWER:B
Answer: (B) 8:1
Question: Fill in the missing number:
18 14 12 ? 10.5 10.25
(A) 11
(B) 10.4
(C) 10.2
(D) 10.5
(E) 10.25
Rationale: 11
Divide each number by 2 and then add 5 to it.
ANSWER A
Answer: (A) 11
Question: Six people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
(A) 1/5
(B) 2/7
(C) 3/5
(D) 4/7
(E) None of them
Rationale: Original share of 1 person = 1/6
New share of 1 person = 1/5
Increase = (1/5 - 1/6	= 1/30)
Therefore, Required fraction = (1/30)/(1/6)	= (1/30)x (6/1)	= 1/5
Answer is A.
Answer: (A) 1/5
Question: A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.6.30 less, he would have gained 30%. Find the cost of the article.
(A) 30
(B) 40
(C) 50
(D) 60
(E) 70
Rationale: Let C.P=100
Gain=25%
S.P=125
Supposed C.P=80
Gain=30%
S.P=(130*80)/100=104
Diff=(125-104)=21
Diff 21 when C.P=100
then Diff 6.30 when C.P=(100*6.30)/21=30
ANSWER:A
Answer: (A) 30
Question: A drawer contains red socks, black socks, and white socks. What is the least number of socks that must randomly be taken out of the drawer to be sure of having four pairs of socks? (A pair is two socks of the same color.)
(A) 8
(B) 10
(C) 12
(D) 14
(E) 1
Rationale: A good Q, which becomes easy the moment we understand the logic behind it...
4 pair of socks means there will be atleast two pairs of one colour..
since the Q uses words"to be sure", we take the worst case where we pick a different colour each time we pick..
the worst case would be we have 3 of each colour, such that the one picked up after that fulfills the condition of four pair...
3 of each colour means 1 pair +1 of each colour..
so total =3*3=9..
now the tenth we pick, irrespective of the colour picked, would make it four pairs..
so total =9+1=10 ..
ANS:B
Answer: (B) 10
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
(A) 480 liters
(B) 600 liters
(C) 720 liters
(D) 800 liters
(E) 820 liters
Rationale: 1/x - 1/20 = -1/24
x = 120
120 * 4 = 480
ANSWER:A
Answer: (A) 480 liters
Question: A city council will select 2 of 9 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
(A) 36
(B) 72
(C) 144
(D) 216
(E) 432
Rationale: Ways to select 2 firefighters out of 9 is C29=36;
Ways to select 1 police officer out of 6 is C16=6;
Total ways to select 2 firefighters out of 9 and 1 police officer out of 6 is 36*6=216.
It's called Principle of Multiplication: if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in m*n ways.
Answer: D.
Answer: (D) 216
Question: Of two mixers and one T.V cost Rs.7000, while two T.Vs and one mixer cost Rs.9800, the value of one T.V is :
(A) Rs.2800
(B) Rs.2100
(C) Rs.4200
(D) Rs.8400
(E) None
Rationale: Explanation:
2x+y = 7000 ............ (i)
x+2y= 9800 ..............(ii)
Solving (i) and (ii), we get y = 4200
Correct Option : C
Answer: (C) Rs.4200
Question: Jake remembers only the last three letters of his four-letter Klingon name. If he is sure that the first letter is neither "N" nor "Z", and assuming that there are only 10 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?
(A) 8/100
(B) 9/100
(C) 1/8
(D) 4/5
(E) 9/10
Rationale: Total letters 10, out of which the first letter is anything of 10 but N or X...
So there are 8 possible letters for first place..
And only one of them is correct..
So 1/8..
Answer: C
Answer: (C) 1/8
Question: A, B and C rents a pasture for Rs.957. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
(A) 270
(B) 289
(C) 297
(D) 255
(E) 552
Rationale: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 957 = 297
Answer: C
Answer: (C) 297
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
(A) 675, Rs.1350
(B) 575, Rs.1350
(C) 1350, Rs.675
(D) 1450, Rs.675
(E) None
Rationale: Area = (l + b +2d) 2d
= (75 + 55 +2.5 * 2) 2*2.5 => 675
675 * 2 = Rs.1350
ANSWER:A
Answer: (A) 675, Rs.1350
Question: The least number which when increased by 5 each divisible by each one of 24, 32, 36 and 54 is :
(A) 427
(B) 859
(C) 869
(D) 4320
(E) None of these
Rationale: Solution
Required number = (L.C.M. of 24, 32, 36, 54) - 5 = 864 - 5 = 859. Answer B
Answer: (B) 859
Question: The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
(A) 766 m
(B) 205 m
(C) 245 m
(D) 156 m
(E) 156 m
Rationale: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time
= 30 sec. Let the length of bridge be x meters. Then, (170 + X)/30 = 25/2
==> 2(170 + X) = 750 ==> X
= 205 m.
Answer: B
Answer: (B) 205 m
Question: Let a be a positive integer. If t is divisible by 2^a and t is also divisible by 3^(2a), then it is possible that t is NOT divisible by
(A) 6
(B) 3 × 2^a
(C) 2 × 3^(2a)
(D) 6^a
(E) 6^(2a)
Rationale: Since, t is divisible by 2^a and 3^(2a), it must be divisible by 6. As least value of a = 1
Only for E, 6^(2a) doesn't satisfy, if a = 1 and t=18, it is not divisible by 6^2 (i.e 36)
Hence answer is E
Answer: (E) 6^(2a)
Question: Two pipes can fill a tank in 10 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
(A) 5.5 Hours
(B) 7.5 Hours
(C) 8.5 Hours
(D) 9.5 Hours
(E) 6.5 Hours
Rationale: In 1 hour it fill 1/10 + 1/12 - 1/20 = 8/60
So fill tank fillup in 60/8 = 7.5 Hours
ANSWER:B
Answer: (B) 7.5 Hours
Question: 0.0003 x 0.3 = ?
(A) 0.0009
(B) 9.0e-05
(C) 0.09
(D) 0.009
(E) 9.0
Rationale: 3 x 3 = 9.
Sum of decimal places = 5
0.0003 x 0.3 = 0.00009
Answer: Option B
Answer: (B) 9.0e-05
Question: A rectangular table seats 7 people on each of two sides, with every person directly facing another person across the table. If fourteen people choose their seats at random, what is probability that any two of them directly face other?
(A) 1/13
(B) 1/8
(C) 1/7
(D) 15/56
(E) 4/7
Rationale: A B C D E F G
------------
| TABLE |
------------
H I J K L M N
A to N are 14 people.
Prob to select any 1 person = 1
Prob to select the person opposite to the chosen person = 1/13
For ex. If we select A as the person than prob of choosing N is 1/13.
Hence, answer will be A.
Answer: (A) 1/13
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
(A) 38008
(B) 38000
(C) 27888
(D) 27799
(E) 27761
Rationale: CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100) = 38000
Answer:B
Answer: (B) 38000
Question: Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $175 million, which represented 10 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
(A) 17,010
(B) 2,100
(C) 1,890
(D) 1,701
(E) 1,750
Rationale: 10% ---- 175 millions
for 100% => ( 175 * 100% )/10% = 1750.
Option E.
Answer: (E) 1,750
Question: A shopkeeper sold an book offering a discount of 5% and earned a profit of 42.5%. What would have been the percentage of profit earned if no discount was offered?
(A) 140
(B) 120
(C) 130
(D) 110
(E) 150
Rationale: Let C.P. be $100.
Then, S.P. = $142.50
Let marked price be $x. Then, 95/100 x = 142.5
x = 14250/95 = $150
Now, S.P. = $150, C.P. = $100
Profit % = 50%.
E
Answer: (E) 150
Question: If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or % loss made by the merchant?
(A) 25% loss
(B) 25% profit
(C) 20% loss
(D) 20% profit
(E) 5% profit
Rationale: Explanatory Answer
Approach: Assume a value for cost price. Compute cost price and selling price for the same number of articles
Let the cost price of 1 article be $1.
Therefore, cost price of 20 articles = 20 * 1 = $20
The selling price of 25 articles = cost price of 20 articles = $20.
Let us find the cost price of 25 articles.
Cost price of 25 articles = 25 * 1 = $25.
Therefore, profit made on sale of 25 articles = Selling price of 25 articles - cost price of 25 articles
= 20 - 25 = -$5.
Because the profit is in the negative, the merchant has made a loss of $5.
Therefore, % loss = Loss/Cost Price∗100
% loss = 5/25∗100 = 20% loss.
Choice C
Answer: (C) 20% loss
Question: A seller has 1000kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
(A) 200 kg
(B) 300 kg
(C) 400 kg
(D) 600 kg
(E) 800 kg
Rationale: By rule of alligation,
Profit% by selling 1st part Profit% by selling 2nd part
8 18
Net % profit
14
18-14=4 14-8=6
=> Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3
Total quantity is given as 1000 kg. So quantity of part2 (quantity sold at 18% profit)
=1000×35
= 600 kg
D
Answer: (D) 600 kg
Question: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
(A) 2261
(B) 2888
(C) 1200
(D) 2699
(E) 2771
Rationale: P --- 10 ---- 600
P --- 5 ----- 300
3P --- 5 ----- 900
------
=> 1200
Answer: C
Answer: (C) 1200
Question: How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
(A) 1
(B) 2
(C) 3
(D) 4
(E) More than four
Rationale: A is followed by B means : A comes first,B comes next
A preceded by B means : B comes first, A comes next
The sets which satisfy the condition is: 5 3 8
1 3 8
7 3 4
ANSWER:C
Answer: (C) 3
Question: PR is tangent to a circle at point P. Q is another point on circle such that PQ is diameter of circle and RQ cuts circle at M. if radius of circle is 4 units and PR=6units. find ratio of triangle PMR to PQR.
(A) 11/20
(B) 3/5
(C) 13/20
(D) 18/25
(E) 18/26
Rationale: let PM = y
QM= x
MR = 10-x
In triangle PQM,
PM^2+QM^2 = PQ^2
=> x^2+y^2=64 .....(1)
In triangle PMR,
PM^2+ MR^2= PR^2
y^2+(10-x)^2=36......(2)
solving for x and y
x=6.4
y=4.8
taking permineter of triangle PQR =24
perimeter of triangle PMR = 14.4
take ratio 14.4/24= 0.6
ANSWER:C
Answer: (C) 13/20
Question: Find the day of the week on 16th July, 1776.
(A) Tuesday
(B) Wednesday
(C) Monday
(D) Thursday
(E) None of these
Rationale: 16th July, 1776 mean (1775 years + 6 months + 16 days)
Now, 1600 years have 0 odd days.
100 years have 5 odd days
75 years contain 18 leap years and 57 ordinary years and therefore (36 + 57) or 93 or 2 odd days.
∴ 1775 years given 0 + 5 + 2 = 7 and so 0 odd days.
Also number of days from 1st Jan. 1776 to 16th July,1776
Jan. Feb. March April May June July
31 + 29 + 31 + 30 + 31 + 30 + 16
= 198 days = 28 weeks + 2 days = 2 odd days
∴ Total number of odd days = 0 + 2 = 2.
Hence the day on 16th July, 1776 was 'Tuesday'.
Answer A
Answer: (A) Tuesday
Question: A gambler has won 40% of his 40 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 70% of the time, how many more games must he play to end up winning 60% of all his games for the week?
(A) 50
(B) 60
(C) 70
(D) 80
(E) 90
Rationale: Let x be the number of additional games the gambler needs to play.
0.4(40) + 0.7x = 0.6(x+40)
0.1x = 8
x = 80
The answer is D.
Answer: (D) 80
Question: What will be the compound interest on Rs. 25000 aŌer 3 years at the rate of 12 % per annum
(A) Rs 10123.20
(B) Rs 10123.30
(C) Rs 10123.40
(D) Rs 10123.50
(E) None of these
Rationale: Explanation:
(25000×(1+12100)3)=>25000×2825×2825×2825=>35123.20
So Compound interest will be 35123.20 - 25000
= Rs 10123.20
Answer: A
Answer: (A) Rs 10123.20
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
(A) 15 min
(B) 18 min
(C) 16 min
(D) 20 min
(E) 26 min
Rationale: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.
Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.
stoppage time = 20/60 hrs
= 20 min
Answer: D
Answer: (D) 20 min
Question: Which of the following is a perfect square?
.
(A) 649
(B) 961
(C) 1664
(D) 2509
(E) 100000
Rationale: The best way would be to see the range in tens and solve after looking at the units digit
lets see all choices--
A. 649
20^2=400 and 30^2=900..
since only 3 and 7 have the perfect square ending in 9, we require to try only for 27 as it is more than 25^2, 625
it is not 27^2, as next square of 26 itself after 625 will be >625+2*25,675
actually 26^2 will be 25^2+25+26
B. 961
between 30^2 and 40^2...
only 1 and 9 have squares ending with one..
since it is very close to 30^2, 900.. it can be 31^2
CORRECT
C. 1664
between 40^2 and 50^2..
closer is 42, but that should be atleast 1600+41+42.. NO
D. 2509
between 50^2 and 60^2..
very close to 50^2 so next square of 51 will be at least 2500+51.. no
E. 100000
odd number of 0s, not possible
ANSWER:B
Answer: (B) 961
Question: The difference between the local value and the face value of 3 in the numeral 62975143 is
(A) 3
(B) 2
(C) 1
(D) 0
(E) 5
Rationale: Explanation:
(Local value of 3) - (Face value of 3) = (3 - 3) = 0
D)
Answer: (D) 0
Question: 2015.98 + 1275.087 – 175.98 × 0.95 + 988.09 = ?
(A) 4004
(B) 4725
(C) 4404
(D) 4044
(E) 4055
Rationale: Explanation:
= 2016 + 1275 – 275.98 × 1 + 988
= 2016 + 1275-275 + 988
= 4004
Answer: Option A
Answer: (A) 4004
Question: Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number
(A) 17
(B) 15
(C) 12
(D) 8
(E) 3
Rationale: f the number is x,
Then, x + 17 =	60/x
x2 + 17x - 60 = 0
(x + 20)(x - 3) = 0
x = 3, -20, so x = 3 (as 3 is positive)
answer: E
Answer: (E) 3
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
(A) 53 1/3 days
(B) 13 1/3 days
(C) 23 1/3 days
(D) 33 1/3 days
(E) 53 1/7 days
Rationale: Explanation:
5/30 + 20/x = 1
x = 24
1/30 + 1/24 = 3/40
40/3 = 13 1/3 days
Answer:B
Answer: (B) 13 1/3 days
Question: When a 192 meters long rod is cut down into small pieces of length 3.2 meters each. Then how many pieces are available ?
(A) 52
(B) 68
(C) 62
(D) 67
(E) 69
Rationale: Answer
No. of pieces = Total length / Length of each piece
= 192/3.2
= 60
Option: D
Answer: (D) 67