MU-NLPC/Calc-aqua_rat huggingface dataset:
In an examination, the percentage of students qualified to the students appeared from school 'P' is 70%. In school 'Q', the number of students appeared is 30% more than the students appeared from school 'P' and the number of students qualified from school 'Q' is 50% more than the students qualified from school 'P'. What is the % of students qualified to the number of students appeared from school 'Q' ? Choose the most appropriate option
A) 80.78%  B) 80.76%  C) 80.72%  D) 80.79%  E) 80.74%

Solution: Explanation:   Number of students appeared from school 'P' = 100, say   Number of students qualified from school 'P' = 70   and Number of students appeared from school 'Q' = 130   Number of students qualified from school 'Q' = 50% more than those qualified from school 'P'.   = 70 + 35= 
70 + 35 = 105
105 % of students qualified to the number of students appeared from school 80.76%= 105 / 130 * 100   = 80.76%   ANSWER: 80.76%
Answer: B
The average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is 156 cm. The average height of the whole class is :
Choose the correct option: A) 158 cms B) 158.5 cms C) 159 cms D) 159.5 cms E) none

Solution: Explanation:   Average height of the whole class =(36×160+10×156/40)=159 cms   Answer 159 cms
Answer: C
Find a sum for first 9 prime numbers?	Choose the correct choice from the following:
A) 22 B) 28 C) 29 D) 82 E) 100

Solution: Required sum = (2 + 3 + 5 + 7 + 11+13+17+19+23)= 
(2 + 3 + 5 + 7 + 11+13+17+19+23) = 100
100   Note: 1 is not a prime number   Option100
Answer: E
The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices.
A) 19 B) 26 C) 18 D) 17 E) 12

Solution: 9 * 2= 
9 * 2 = 18
18 years   Answer: Option 18   Explana18
Answer: C
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?  Choose the correct choice from the following.
A) 7  B) 6  C) 5  D) 9  E) 1

Solution: Explanation:   C.P. of 6 toffees = Re. 1   S.P. of 6 toffees = 120% of Re. 1 = Rs. 6/5   For Rs. 6/5, toffees sold = 6. For re. 1.   Toffees sold = 6 * 5/6= 
6 * 5/6 = 5
5   Answer: 5
Answer: C
If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
13 * 15 * 17 =? Choose the correct option:
A) 89
B) 49
C) 68
D) 268
E) 55

Solution: 268   268   (17 * 15) + 13= 
(17 * 15) + 13 = 268
268
Answer: D
If the city centers of Tokyo and London are 5936 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.) Choose the most appropriate option:
A) 1.7 × 10^7
B) 4.9 × 10^7
C) 3.8 × 10^8
D) 2.6 × 10^9
E) 1.2 × 10^10

Solution: 5936 miles = 5936 x 5280 feet/mile x 12 inches/foot which is about 3.8 x 10^8 inches.   The answer is 3.8 × 10^8.
Answer: C
a, b, c and d are four consecutive numbers. If the sum of a and dis 103, what is the product of b and c?
Choose one
A) 2652 B) 2578 C) 2534 D) 3354 E) 4234

Solution: 2652   2652   Here d = a + 3   a + a + 3 = 103   2a = 100   a = 50   So, numbers are 50, 51, 52 and 53   ∴ b × c= 51 × 52 = 2652
Answer: A
From the word 'TEA', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
Choose the correct choice from the following answers:	A) 0	B) 8	C) 3	D) 2	E) 9

Solution: Explanation:   The words formed are   0nswer: 0) 0
Answer: A
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum ?
Choose the correct choice from the following choices:
A) Rs 4462.50  B) Rs. 8032.50  C) Rs. 8900  D) Rs. 8925  E) None

Solution: Solution   Principal = Rs. (100*4016.25/9*5)= Rs.(401625/45) =Rs.8925   Answer Rs. 8925
Answer: D
. In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 70 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Pick one
A) 50%  B) 53%  C) 54%  D) 55%  E) 57%

Solution: Registered voters = 100   D = 60   R = 40   70% of D ( 60) = 42   20% of R ( 40 ) = 8   Total voter% of registered voters = 50 / 100   50% 50%ns 50%
Answer: A
A man rows to a place 48 km distance and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:	Choose the correct choice from the following choices
A) 1 km/hr  B) 2.5 km/hr  C) 3 km/hr  D) 4 km/hr  E) None

Solution: Sol.   Suppose he moves 4 km downstream in x hours. Then,   Speed downstream = [4/x] km/hr, Speed upstream = [3/x] km/hr.   ∴ 48/(4+x) + 48/(3/x) = 14 or x = 1/2.   So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.   Rate of the stream = 1/2 (8-6) km/hr = 1 km/hr.   1 km/hrnswer 1 km/hr
Answer: A
How many bricks, each measuring 25cm*11.25cm*6cm, will be needed to build a wall 8m*6m*22.5m Choose one.
A) 6400 B) 3777 C) 2679 D) 2667 E) 1997

Solution: To solve this type of question, simply divide the volume of wall with the volume of brick to get the numbers of required bricks   So lets solve this   Number of bricks =   Volume of wall/Volume of 1 brick=800∗600∗22.5/25∗11.25∗6=6400   6400nswer: 6400
Answer: A
A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1996. She ended on her
Select the correct option.
A) a) thumb  B) b) the index finger  C) c) the middle finger  D) d) the ring finger  E) e) the little finger

Solution: Notice the pattern. The thumb lansd up at numbers 1,9,17,25,33,... so every 8th number   By this patter the thumb is also at number 1993 (multiple of 8 + 1)   Hence 1996 has to be the ring finger   Answer is (d) the ring finger)
Answer: D
If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
Options.
A) 80%
B) 30%
C) 90%
D) 40%
E) 42%

Solution: 8 = (1*20*R)/100   R = 40%   Answer:40%
Answer: D
The average age of 10 men increases by 6 years when two women are included in place of two men of ages 18 and 22 years. Find the average age of the women?	Choose the most appropriate option:
A) 37  B) 26  C) 30  D) 50  E) 11

Solution: Explanation:   18 + 22 + 10 * 6= 
18 + 22 + 10 * 6 = 100
100/2= 
100/2 = 50
50   Answer: 50
Answer: D
Ella picked a number of pears, each of which she sold, canned, or poached. If she canned 60 percent more than she poached, and she poached 10 percent less than she sold. If there were a total of 501 pears, then how many pears did she sell?	Choose the correct choice from the following:
A) 130
B) 135
C) 140
D) 145
E) 150

Solution: Let x be the amount of pears that she sold.   Then she poached 0.9x.   Then she canned  1.6*0.9= 
 1.6*0.9 = 1.44
1.44x.   The total amount of pears is x+0.9x+1.44x=3.34x   The fraction of pears that she sold is 1/3.34=100/334=50/167.   The number of pears she sold is   (50/167)*501= 
  (50/167)*501 = 150
150.   The answer is 150.
Answer: E
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choose the correct choice from the following answers.
A) 2.9
B) 2.2
C) 2.5
D) 2.1
E) 2.3

Solution: 100*(20/100)= 
100*(20/100) = 20
20 --- 10   ? --- 1=> Rs.2   100 --- 80   ? --- 2 => Rs.2.5   Answer:2.5
Answer: C
One-seventh of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/20 of the non defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective? Choose the correct choice from the following choices.
A) 2.3%
B) 3.4%
C) 4.5%
D) 5.6%
E) 6.7%

Solution: 1/7 of the switches are defective.   The defective switches that are not rejected are 1/5*1/7 = 1/35 = 4/140 of all switches.   The non defective switches that are sold are 6/7*19/20 = 114/140 of all switches.   The percent of switches sold that are defective is 4/118 which is about 3.4%.   The answer is 3.4%.
Answer: B
Which of the following inequalities is equivalent to 11 - 11x > 133?	Select the correct option
A) x > -2
B) x > -1
C) x > -3
D) x > -11
E) x > -5

Solution: You can work with the inequality in the same way as you do when you have the equal to sign. You can take terms to the other side by flipping their sign, you can multiply/divide the inequality by the same term on both sides of the equation etc.   The only important thing to note is the following:   When you multiply/divide by a negative number, the sign of the inequality flips.   To illustrate,   11 - 11x > 133   11x > -122 (Correct)   x > -11 (Correct)   the correct option is x > -11
Answer: D
Find the value of x in (x/5)+3=4.
Pick one:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: (x/5)+3=4.   Subtracting both sides with 3 gives x/5=1   Multiplying both sides by 5 gives x=5   Answer: 5
Answer: E
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.50 less, he could have gained 25%. What is the cost price? Select the correct option:
A) 197 B) 250 C) 279 D) 278 E) 268

Solution: CP1 = 100 SP1 = 120   CP2 = 80 SP2 = 80 * (125/100)= 
80 * (125/100) = 100
100   20 ----- 100   50 ----- ?=> 250   Answer:250
Answer: B
A person covered one-fourth of the total distance at 14 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?	Choose the correct choice from the following answers.
A) 20 (4/11)kmph	B) 21 (4/11)kmph	C) 21 (7/3)kmph	D) 27 (7/3)kmph	E) 21 (1/8)kmph

Solution: Let the total distance be x km   total time taken = (x/4)/14 + (3x/4)/24 = x/56 + x/32 = 11x/224   Average speed = x/(11x/224) = 224/11kmph   = 20 (4/11)kmph.   20 (4/11)kmphnswer:20 (4/11)kmph
Answer: A
When the price of a product was decreased by 20%, the number sold increased by 60%. What was the effect on the total revenue ?  Choose the most appropriate option.
A) 28%
B) 32%
C) 35%
D) 45%
E) 52%

Solution: Let the price of the product be $100 and let original sale be 100 pieces   Then , Total Revenue = 100*100= 
100*100 = 10_000
$10000   New revenue= 80*160= 
80*160 = 12_800
$ 12800   Increase in revenue= 2800*100/10000= 
2800*100/10000 = 28
28%   28%nswer is 28%
Answer: A
A squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute. How much time will the squirrel take to climb 26 metres?	Choices
A) 15 minutes B) 18 minutes C) 12 minutes D) 58 minutes E) 10 minutes

Solution: Explanation:   15 minutess the squirrel climbs 5 m in one minute and slips 2 metres in the next minute, it climbs 3 metres in 2 minute   To climb 26 metres, the time required is:   The squirrel will climb (26 – 5) = 21 metres = 7 * 3 metres in   7 * 2= 
  7 * 2 = 14
14 minutes   15 minuteslso, the last 5 metres it climbs in another 1 minute   Hence, total time required= 14 + 1= 
14 + 1 = 15
15 minutes   15 minutesNSWER:15 minutes
Answer: A
Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is : Choices:
A) 1 hr 20 min  B) 1 hr 11 min  C) 1 hr 12 min  D) 1 hr 30 min  E) None of these

Solution: Explanation :   New speed = 6/7 of usual speed.   New time = 7/6 of usual time   => [7/6 of usual time] - (usual time) = 1/5 hr.   => 1/6 of usual time = 1/5 hr   => usual time = 6/5 hr = 1 hr 12 min.   Answer : 1 hr 12 min
Answer: C
U is a set containing 8 different positive odd numbers. V is a set containing 7 different numbers, all of which are members of U. Which of the following statements CANNOT be true?
Pick one
A) The range of V is even.  B) The mean of U is even.  C) The mean of V is even.  D) The range of U is equal to the range of V.  E) The median of V is equal to the mean of V.

Solution: Given: U is a set containing 8 different positive odd numbers   Easily inferred: V is a set containing 7 differentoddnumbers   (A) The range of V is even. - Always even, since it is a difference of two odd numbers   (B) The mean of U is even. - can be. suppose 8 numbers consist of 4 pairs of (16n-1,16n+1) for different values of n. Adding these will give a multiple of 16, which when divided by 8 (to arrive at mean), will give an even number   (C) The mean of V is even. - Cannot be. Mean = (sum of 7 odd numbers)/7 = Odd number/odd number thus cannot be even.   (D) The range of U is equal to the range of V.   (E) The median of V is equal to the mean of V   Option The mean of V is even..
Answer: C
Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 7 meters, and the interior of tank B has a height of 7 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B? Choose the correct choice:
A) 70% B) 80% C) 100% D) 120% E) 125%

Solution: The radius of tank A is 7/(2*pi).   The capacity of tank A is 10*pi*49 / (4*pi^2) = 245 / (2*pi)   The radius of tank B is 10 / (2*pi).   The capacity of tank B is 7*pi*100 / (4*pi^2) = 350 / (2*pi)   Tank 70% / Tank B = 245/350 = 7/10 = 70%   The answer is 70%.
Answer: A
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 4 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement? Options.
A) 0.5< t < 0.75	B) 1.75< t < 2.0	C) 1 < t < 2	D) 2.5 < t < 3.0	E) 3 < t < 3.5

Solution: D=2, and R=1   circumference thus is 2pi miles   we know that she walked 4mph   knowing the formula rt=D, we can deduce that t= D/r   D is 2pi miles and r is 4mph   t = 2pi/4   pi can be rewritten as 22/7   2*22/7 = 44/7 and multiply this by 1/4 = 44/28. This is greater than 1, but less than 2, therefore, 1<t<2. Answer choice 1 < t < 2.
Answer: C
How much interest can a person get on Rs. 8200 at 10.5% p.a. simple interest for a period of six years and six months? Pick
A) 5596.5  B) 5596.55  C) 5596.54  D) 3587.51  E) 3587.57

Solution: I = (8200 * 6.5 * 10.5)/100   = (8200 * 13 * 21)/(100 * 2 * 2)   = Rs. 5596.5   5596.5nswer: 5596.5
Answer: A
Two brother X and Y appeared for an exam. The probability of selection of X is 1/5 and that of B is 2/7. Find the probability that both of them are selected. Choose the correct choice:
A) 2/35
B) 2/30
C) 2/63
D) 2/29
E) 2/10

Solution: Explanation:   Let A be the event that X is selected and B is the event that Y is selected.   P(A) = 1/5, P(B) = 2/7.   Let C be the event that both are selected.   P(C) = P(2/35) Ã— P(B) as 2/35 and B are independent events:   = (1/5) Ã— (2/7) = 2/35   2/35nswer: 2/35) 2/35
Answer: A
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is? Choices.
A) 337
B) 299
C) 375
D) 662
E) 201

Solution: A+B+375 = 1500   A = 1/3(B+375); B = 2/3(A+375)   A/(B+375) = 1/3   A = 1/4 * 1500= 
1/4 * 1500 = 375
> 375   Answer: 375
Answer: C
There is a 4 digit no. in which 3rd digit is twice of first one. Second digit is the sum of first and third. Fourth digit is twice of third. What is the no?  Choose the correct option.
A) 1224	B) 1324	C) 1444	D) 1524	E) 1354

Solution: Let the 4-digit no. be "abcd"   c = 2*a   b=a+c   d = 2*c => d=4a   abcd => (a)(a+c)(2a)(4a)   Possible values of a ll be 1 nd 2... Bcozzz a>2 implies d>10....Digits should ranges between 0 nd 9...   If a=1, then c=2,d=4, b=3... The no. is 1324   If a=2, then c=4,d=8, b=6... The no. is 2648   Ans : 1324 (or) 2648   ANSWER:1324
Answer: B
Find the circumference and area of radius 11 cm.	Select
A) 124 cm²
B) 144 cm²
C) 380 cm²
D) 284 cm²
E) 394 cm²

Solution: Area of circle = πr²   = 22/7 ×11 ×11 cm²   = 154 cm²   ANSWER:380 cm²
Answer: C
A student gets 55% in one subject, 65% in the other. To get an overall of 55% how much should get in third subject.
Choose the correct choice from the following answers:  A) 75%  B) 25%  C) 45%  D) 55%  E) 65%

Solution: Let the 3rd subject % = x   55+65+x = 3*55   120+x =165   x = 165-120= 
165-120 = 45
45   Answer :45%
Answer: C
A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?	Choose the correct choice.
A) 5	B) 21	C) 7	D) 8	E) 9

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [385 * 3/55= 
385 * 3/55 = 21
21 sec   Answer: Option 21
Answer: B
What is the probability that the sum of two dice will yield a 8, and then when both are thrown again, their sum will again yield a 8? assume that each die has 7 sides with faces numbered 1 to 7. Pick: A) 1/144 B) 1/36 C) 1/12 D) 1/6 E) 1/49

Solution: Solution -   Rolling dices is an independent event.   The combinations to get 8 are (1,7), (7,1), (2,6), (6,2), (3,5), (5,3), (4,,4) and total combinations of both dices is 49.   The probability of getting 8 in first attempt is 7/49=1/7.   Probability of getting 8 again in second attempt = (1/7)*(1/7) = 1/49. ANS 1/49
Answer: E
In a kilometer race, A beats B by 20 meters or 10 seconds. What time does A take to complete the race? Choose the correct choice from the following:  A) 290 sec  B) 190 sec  C) 199 sec  D) 192 sec  E) 490 sec

Solution: Time taken by B run 1000 meters   = (1000 * 10)/20= 
(1000 * 10)/20 = 500
500 sec.   Time taken by A= 500 - 10= 
500 - 10 = 490
490 sec.   Answer: 490 sec
Answer: E
A tap can fill a tank in 6 hours. After half the tank is filled then 3 more similar taps are opened. What will be total time taken to fill the tank completely.  Choose the most appropriate option:
A) 2 hours 30 mins B) 2 hours 45 mins C) 3 hours 30 mins D) 3 hours 45 mins E) None of these

Solution: Explanation:   Half tank will be filled in 3 hours   Lets calculate remaining half,   Part filled by the four taps in 1 hour = 4*(1/6) = 2/3   Remaining part after 1/2 filled = 1-1/2 = 1/2   2/3:1/2::1:X   =>X=(1/2∗1∗32)   =>X=3/4hrs=45 mins   Total time = 3 hours + 45 mins = 3 hours 45 mins   Option 3 hours 45 mins
Answer: D
On a map, 1 centimeter represents 19 kilometers. Two cities 627 kilometers apart would be separated on the map by how many centimeters?  Choose the correct choice from the following answers:
A) 15 B) 27 C) 49 D) 33 E) 280

Solution: X=627/19= 
627/19 = 33
33   Answer: 33
Answer: D
x = y - (10/y), where x and y are both > 0. If the value of y is doubled in the equation above, the value of x will	Choose the correct choice
A) decrease B) stay the same C) increase four fold D) double E) increases to more than double

Solution: Alternate approach   Plug in some values of y > 0   Let y = 10   So, x = y - (10/y)   Or, x = 10 - (10/10)= 
10 - (10/10) = 9
9   Let y= 20   So, x = y - (10/y)   Or, x = 20 - (10/20)= 
20 - (10/20) = 39/2 = around 19.5
>19.5   So, x increases from 9 to 19.5   Hence the number increases 2.1 times, thus the correct answer will be (increases to more than double)
Answer: E
If pq = p^6 + q^2 – 2pq, for what value of q is pq equal to p^6 for all values of p?  Choose the correct choice
A) 0	B) -1	C) -2	D) 1	E) 2

Solution: p6 + q2 â€“ 2pq = p6   => q2 - 2= 
2 - 2 = 0
0=> q (q - 2p) = 0   => q = 0 or q = 2p   im not following the logic you used here.. how did you replace pq with 0 could someone help explain it in MORE DET0I   0
Answer: A
A 250 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?	Options.
A) 250
B) 245
C) 240
D) 235
E) 230

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 250)/9 = 500/9 => x = 250.   250nswer: Option 250
Answer: A
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choose the correct choice from the following answers
A) 288
B) 269
C) 245
D) 888
E) 121

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (130 + x)/30 = 25/2   x = 245 m.   Answer: 245
Answer: C
The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings? Choose the correct option.
A) 2/3 B) 3/2 C) 4/5 D) 5/8 E) 4/2

Solution: Let the earnings of P and Q be 9x and 10x respectively.   New ratio = [9x + 1/4 (9x)]/[10x - 1/4 (10x)]   => 9*(1 + 1/4)/10*(1 - 1/4)   => 9/10 * (5/4)/(3/4) = 3/2   Answer:3/2
Answer: B
The average of first ten prime numbers which are odd is?
Choose the correct option
A) 22.2 B) 22.1 C) 15.3 D) 15.8 E) 14.6

Solution: Explanation:   Sum of first 10 prime no. which are odd = 158   Average = 158/10= 
158/10 = 79/5 = around 15.8
15.8   Answer:15.8
Answer: D
Consider 6 points, two of which are A and B, such that each pair of points is connected by a
line segment and no three points are collinear. Compute the number of distinct paths from A
to B such that no point is visited more than once. Answers:
A) 61  B) 62  C) 63  D) 64  E) 65

Solution: We consider cases based on the length of the path. Note that there is 1 path of   length 1, 4 paths of length 2, 4 *3 = 12 paths of length 3, 4* 3 *2 = 12 paths of length 4,   4 * 3 * 2 * 1= 
4 * 3 * 2 * 1 = 24
24 paths of length 5, and no paths of length 6 or greater. Therefore, there are a   total of 1 + 4 + 12 + 24 + 24= 
1 + 4 + 12 + 24 + 24 = 65
65 distinct paths.   correct answer 65
Answer: E
If it takes a tub 6 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty?	Select:
A) 48 seconds
B) 1 minute, 12 seconds
C) 1 minute, 50 seconds
D) 2 minutes, 24 seconds
E) 4 minutes, 12 seconds

Solution: If 5/7 of tub's content is drained 2/7 th of tub still needs to be drained.   If it takes 6 minutes to drain 5/7 th of tub it takes 6*(7/5) minutes to drain the entire tub and 6*(7/5)*(2/7) min to drain 2/7 th of the tub which is 2.4 minutes or 12/5 minutes or 2 minute 24 seconds   So answer is 2 minutes, 24 seconds
Answer: D
A qualified worker digs a well in 6 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
Options: A) 1:24 B) 1:34 C) 1:44 D) 1:54 E) 2:14

Solution: and answer is correct as you have calculated : 100/64 hrs that is 1.82 hrs - 1 hr and 54 minutes, so 1:54, hence, 1:54.
Answer: D
Find the compound interest and the amount on Rs.6000 at 5% per annum for 3 years when C.I is reckoned yearly?	Choose the correct choice from the following answers
A) s.1261.75  B) s.1440.75  C) s.1185.75  D) s.1346.75  E) s.945.75

Solution: A = 6000(21/20)3   = 6945.75   = 6000   ---------   945.75   ANSWs.945.75R:s.945.75
Answer: E
how many internal diagonals does a octagon (eight sided polygon) have?	Choose the correct answer:
A) 90	B) 85	C) 70	D) 35	E) 20

Solution: Number of diagonals in any polygon can be found using this formula: n(n-3)/2   Here n = 8   No. of diagonals = 8(8 - 3)/2   = 20   Ans 20
Answer: E
x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) + (10x + z) could be equal to  Choose the correct choice from the following options:
A) 33
B) 36
C) 44
D) 63
E) 95

Solution: 1) firstly we are not given that all are different integers..   2) since each is a positive single digit integer and x=a/4... a can take only 4 and 8 as value, and x can take 1 and 2..   3) same as 2) for b and z.   so in (10a + b) + (10x + z) ..   10a+b can be   44,48,84,88..   10x+z can be   11,12,21,22..   ans 95
Answer: E