MU-NLPC/Calc-aqua_rat huggingface dataset:
Boy sells a book for Rs. 800 he gets a loss of 20 %, To gain 10%, what should be the SP?	Choose the correct choice from the following choices.
A) 1100 B) 450 C) 550 D) 590 E) 600

Solution: Cost price = 800/80 x 100 = 1000   To gain 10% = 1000 x 10/100 = 100   SP = CP + gain = 1000 + 100= 
1000 + 100 = 1_100
1100   1100nswer :1100
Answer: A
A right circular cone is exactly fitted inside a cube in such away that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 343 cc, what approximately is the volume of the cone?
Choose the correct choice from the following choices:
A) 80 cc	B) 90 cc	C) 110 cc	D) 105 cc	E) 100 cc

Solution: Edge of the cube = 3√334= 7 cm   ∴ Radius of cone = 3.5 cm   height = 7 cm   volume of cone = 1⁄3πr2h   1⁄3πr2h = 1⁄3 × 22⁄7 × (3.5)2 × 7 = 1⁄3 × 22 × 12.25 ≈ 90 sec   Answer 90 cc
Answer: B
A man is 4 times as old as her daughter. In 3 years she will be 3 times as old as her daughter. How old is the man now?
Choose the correct choice from the following options:
A) 3 years
B) 6 years
C) 12 years
D) 24 years
E) 36 years

Solution: Let man's present age = w   and daughter's present age = d   w= 4d --- equation 1   w +3= 
 +3 = 3
3(d+3)=>w = 3d +6 --- equation 2   From 1 and 2 , we get   d=6   w=24   Answer 24 years
Answer: D
Tom wants to buy items costing $25.35, $50.69, and $85.96. He earns $6.50 an hour doing
odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he
work to earn the money he needs for his purchases? Round your answer to the nearest whole
hour.
Choose the correct choice:
A) 8 hours	B) 48 hours	C) 38 hours	D) 18 hours	E) 28 hours

Solution: $6.50 x .10 = $.65 is 10% of his hourly income   $  6.50 - .65= 
  6.50 - .65 = 5.85
$5.85 hourly amount available to spend   $25.35 + $50.69 + $85.96 = $162 total needed   $162 ÷ $5.85  25.35 +  50.69 +  85.96= 
 25.35 +  50.69 +  85.96 = 162
$162 total needed   $162 ÷ $5.85= 27.69... rounds to 28 hours   correct answer 28 hours
Answer: E
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?	Select:
A) 299
B) 266
C) 278
D) 500
E) 277

Solution: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 85   5x/100 + 90 – 6x/100 = 85   x/100 = 5   => x = 500   Answer:500
Answer: D
In a kickball competition of 7 teams, how many possible matches can each team play with each other?  Select the correct option:
A) 9 B) 16 C) 24 D) 21 E) 54

Solution: 7C2 = 21   Option 21
Answer: D
If n = (33)^40 + (43)^33 what is the units digit of n?	Answers:	A) 1	B) 2	C) 4	D) 6	E) 8

Solution: First of all, the units digit of (33)^40 is the same as that of 3^43 and the units digit of (40)^33 is the same as that of 3^33. So, we need to find the units digit of 3^40 + 3^33.   Next, the units digit of 3 in positive integer power repeats in blocks of four {3, 9, 7, 1}:   3^1=3 (the units digit is 3)   3^2=9 (the units digit is 9)   3^3=27 (the units digit is 7)   3^4=81 (the units digit is 1)   3^5=243 (the units digit is 3 again!)   ...   Thus:   The units digit of 3^40 is the same as the units digit of 3^3, so 7 (43 divided by the cyclicity of 4 gives the remainder of 3).   The units digit of 3^30 is the same as the units digit of 3^1, so 3 (33 divided by the cyclicity of 4 gives the remainder of 1).   Therefore the units digit of (33)^40 + (40)^33 is 7 + 4 =1.   1nswer: 1.
Answer: A
A car takes 6 hours to cover a distance of 432 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?  Choose the correct answer:
A) 48 Kmph  B) 50 Kmph  C) 52 Kmph  D) 56 Kmph  E) 60 Kmph

Solution: Time = 6   Distence = 432   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 432/9= 
432/9 = 48
48 Kmph   48 Kmph
Answer: A
Ramu bought an old car for Rs. 42000. He spent Rs. 12000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choose the correct option.
A) 12%  B) 16%  C) 20.18%  D) 82%  E) 23%

Solution: Total CP = Rs. 42000 + Rs. 12000 = Rs. 54000 and SP   = Rs. 64900   Profit(%) = (64900 - 54000)/54000 * 100   = 20.18%   Answer:20.18%
Answer: C
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?  Answers.
A) 134560 m	B) 1354760 m	C) 153600 m	D) 167800 m	E) 153600 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: C
16 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?  Choose the correct choice from the following answers
A) 2√2
B) 4
C) 5
D) 4√2
E) none of these

Solution: Area of Sector, A = x/360*pi*r^2   Circumference of the sector = 16   => x/360*2*pi*r +2r= 16   => 2A/r+2r=16   => A=(r16- 2r^2)/2   = r8-r^2   We will now max using derivations   Max value of A will found at A=0   i.e 8-2r=0   r=4   4
Answer: B
Jibin went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?
Select the correct option:  A) 3 km  B) 6 km  C) 4.5 km  D) km  E) none of the above

Solution: Assume the distance to the top of the hill (1 way) as: x   Now, speed=distance/time => time=distance/speed   So, for the first half of the journey, he traveled uphill at 1.5km/hr, so the time taken for the first leg of the journey is: x/1.5.   For the second half, he traveled downhill at 4.5km/hr, so the time taken for the second leg of the journey is: x/4.5   Now, the total time for the trip is given as 4 hrs.   Equating, (x/1.5)+(x/4.5)=4 => (3x+x)/4.5=4 => x=4.5 km   So, the distance one side is = 4.5 km.   The OA mentioned is 9km, which is exactly double of this distance, i.e., the total distance traveled during both legs of the journey, but the question only asked for the distance till the top of the hill, i.e., one way, so the answer should be 4.5km   4.5 kman someone assist me in understanding where am I wrong here?
Answer: C
Indu gave Bindu Rs.1875 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Answers: A) s.10 B) s.2 C) s.5 D) s.3 E) s.4

Solution: 1875 = s.3(100/4)2   s.3 = 3   ANSWER:s.3
Answer: D
Jonathan, Matthew and Zac are picking strawberries from their yard. Together they have picked a total of 550 strawberries. Jonathan and Matthew have picked 350 strawberries together. Matthew and Zac have picked 250 strawberries together. How many strawberries has Zac picked by himself?	Options.
A) 100	B) 200	C) 350	D) 50	E) 250

Solution: Jonathan = Matthew + Zac = 550 strawberries   J + M = 350   M + Z = 250   Use J + M = 350 to plug into the original formula   (J + M) + Z = 550   350 + Z = 550   Subtract 350 from each side   Z = 200   Answer: 200
Answer: B
Ashok secured average of 75 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?  Choose the correct choice from the following answers:  A) 66  B) 74  C) 78  D) 80  E) None of these

Solution: Explanation:   Number of subjects = 6   Average of marks in 6 subjects = 75   Therefore total marks in 6 subjects = 75 * 6= 
75 * 6 = 450
450   Now, No. of subjects= 5   Total marks in 5 subjects = 74 * 5= 
74 * 5 = 370
370   Therefore marks in 6th subject= 450 – 370 = 80   ANSWER 80
Answer: D
Ages of two persons differ by 20 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age Pick
A) 12,28	B) 14,30	C) 16,36	D) 18,34	E) 19,34

Solution: Explanation:   Let the age of younger person is x,   Then elder person age is (x+20)   => 3(x-6) = (x+20-6) [6 years before]   => 3x-18 = x+14   => x = 16   So other person age is x + 20 = 36   Answer: Option 16,36
Answer: C
A train running at the speed of 90 km/hr crosses a pole in 5 seconds. Find the length of the train.	Select.
A) 150 meter
B) 145 meter
C) 140 meter
D) 125 meter
E) None of these

Solution: Explanation:   Speed = 90*(5/18) m/sec = 25 m/sec   Length of Train(125 meteristance) = Speed * Time   =25*5= 
25*5 = 125
125 meter   Option 125 meter
Answer: D
45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?  Answers.
A) 338	B) 667	C) 188	D) 100	E) 281

Solution: (45 * 8)/30 = (x * 6)/50 => x =100   100 – 45 = 55   Answer: 100
Answer: D
108.	Triangle A’s base is 12% greater than the base of triangle B, and A’s height is 12% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B? Choose one:  A) 9 % less  B) 0.7 % less  C) Equal to each other  D) 1 % more  E) 9 % more

Solution: Wish the question specified that we are talking about corresponding height.   Base of A = 13/12 * Base of B   Height of A = 11/12 * Height of B   Area of A = (1/2) * Base of A * Height of A = 13/12 * 11/12 * Area of B = 143/144 * Area of B   Area of A is 0.7% less than the area of B.   Answer (0.7 % less)
Answer: B
a, b, c, and d are positive consecutive integers and a < b < c < d.
If the product of the highest and lowest numbers is three more than the square of the second number, what is the value of the third number? Choose one
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: ad = bb + 3   We know many squares: 2 squared is 4, 3 squared is 9, 4 squared is 16, 5 squared is 25, 6 squared is 36.   We need to find a sequence where the square is a little smaller than the ad product.   In the sequence 1, 2, 3, 4, the square of b is only 2x2 = 4. The product of the first and last numbers is 1x4 = 4, which is the same. So this can't be our sequence.   In the sequence 3, 4, 5, 6, the square of b is 4x4 = 16. The product of the first and last numbers is 3x6 = 18, which is close, but a little too low.   In the sequence 5, 6, 7, 8, the square of b is 6x6 = 36. The product of the first and last numbers is 5x8 = 40, which is close, but a little too high.   The correct sequence is 4, 5, 6, 7. The square of b is 5x5 = 25, and the product of the first and last numbers is 4x7 = 28, exactly three more than the square.   The answer to the problem is the value of the third number in the sequence, which is 6 (option 6).
Answer: E
Which of the following must be an integer if the integer x is divisible by both 18 and 12?
Choose the correct choice:
A) x/252
B) x/189
C) x/126
D) x/36
E) x/81

Solution: the integer has to be multiple of LCM of 18 and 12, which is 36..   so x/36 will be an integer   ans x/36
Answer: D
A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 360 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?
Choose the correct choice
A) 400  B) 475  C) 480  D) 625  E) 700

Solution: Let Machine A produce A widgets per hour. B produce B widgets per hour and C produce C widgets per hour.   7A+11B=360 ---(1)   8A+22480=600 ---(2)   Dividing (2) by 2   4A+11480=300.....(3)   Adding (1)(3)   11A+11B+11480 = 660   A+B+480=60 per hour   So for eight hrs = 60*8= 
60*8 = 480
480= Answer = 480
Answer: C
The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?  Pick.
A) 876 m
B) 157 m
C) 225 m
D) 156 m
E) 167 m

Solution: Speed = [45 X 5/18] m/sec   = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (150 + x)/30 = 25/2   => 2(150 + x) = 750 => x   = 225 m.   Answer: 225 m
Answer: C
A thief steels a car at 6a.m. and drives it at 50kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 100 kmph. When will he overtake the thief? Choose the correct option: A) 9a.m. B) 9.30a.m. C) 10a.m. D) 8 a.m. E) 10.15a.m.

Solution: Suppose the thief overtakes x hours after 6a.m.   Distance covered by the thief in x hrs = distance covered by the owner in (x-1 hours)   50x = 100(x-1)   50x = 100   x = 2 hrs   Thief is overtaken at 8a.m.   Answer is 8 a.m.
Answer: D
Riya purchase 20 jars in a store then she returned 4 jars to store .Now how many jars she had?	Options:
A) A)5  B) B)11  C) C)19  D) D)16  E) E)4

Solution: 20-4= 
20-4 = 16
16. Answer is 16
Answer: D
Tom, who has 50 math questions, will get 5 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 3 points per question. Then, which of the following can be the score if he solves all the 50 questions?	Choose the correct choice from the following choices.
A) 192
B) 193
C) 194
D) 195
E) 196

Solution: Let x be the correctly answered questions. y be the wrongly answered/ skipped ones.   We have x + y = 50;   Score = 5x-3y   3x+3y = 150; 5x-3y = Score;   ==> 8x = 150+Score;   check for answer choices where 150+Score is divisible by 8   194hoice (194) 194 fits the equation !
Answer: C
What is the probability of drawing a "Queen" from a deck of 52 cards?
Pick one:	A) 2/7	B) 1/13	C) 3/5	D) 2/8	E) 1/7

Solution: Explanation :   Total number of cards, n(S) = 52   Total number of "Queen" cards, n(E) = 4   P(E) =n(E)/n(S)=4/52=1/13   Answer: 1/13
Answer: B
In covering a distance of 60 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Choose the most appropriate option:	A) 5 km/h	B) 8 km/h	C) 10 km/h	D) 15 km/h	E) 25 km/h

Solution: Let A's speed be X km/hr.   Then, 60/x - 60/2x = 2   6x = 60   x = 10 km/hr.   Answer : 10 km/h
Answer: C
A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes?
Choices.
A) Either 37 ;30:1 B) Either ;35:1 C) Either 15;15:12 D) Either 21;35:1 E) Either 17;35:12

Solution: Each of the span is an independent event and the outcome of the 15th span will not depend on the outcome of the earlier spans.   Either ;35:1   Either ;35:1)
Answer: B
How long does a train 130 m long running at the speed of 98 km/hr takes to cross a bridge 160 m length?
Choose the most appropriate option:
A) 13.9 sec B) 13.1 sec C) 17.9 sec D) 61.9 sec E) 47.98 sec

Solution: Speed = 98 * 5/18 = 27 m/sec   Total distance covered = 130 + 160= 
130 + 160 = 290
290 m.   Required time= 290/22 = 13.1 sec.   Answer:13.1 sec
Answer: B
A scale 6 ft. 8 inches long is divided into 4 equal parts. Find the length of each part  Choose the most appropriate option
A) 17 inches
B) 20 inches
C) 15 inches
D) 18 inches
E) 19 inches

Solution: Explanation:   Total length of scale in inches = (6*12) + 8= 
(6*12) + 8 = 80
80 inches   Length of each of the 4 parts= 80/4= 
80/4 = 20
20 inches   ANSWER: 20 inches
Answer: B
A bag contains 6red, 5blue and 2green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
A) 2/21 B) 3/41 C) 5/26 D) 3/31 E) 5/32

Solution: P(Both are red),   =65/262135/262=65/262135/262   =5/26   5/26
Answer: C
At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Select:
A) 89%
B) 10%
C) 70%
D) 80%
E) 73%

Solution: A B 70% D   90 100 80 100   A D   90 ----- 100   360 ------ ? = 400   500 ------ 400   100 ------- ? => 80%   Answer:70%:
Answer: C
The greatest possible length which can be used to measure exactly the length 6m, 2m 25cm, 10 m 90 cm is Choose the correct choice from the following options
A) 15 cm B) 5 cm C) 25 cm D) 42 cm E) 43 cm

Solution: Explanation:   Required Length = H.C.F of 600 cm, 225 cm and 1090 c   = 5 cm. Answer: 5 cm
Answer: B
The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?	Choose the most appropriate option
A) 10	B) 25	C) 30	D) 35	E) 40

Solution: 39x = 5 + 12 + 15 + 19 + (x â€“ 4)44   x = 25   ANSWER 25
Answer: B
Find the term next in series..
1,1/2,3/2,2,5,1/3, 16/3, 15,12,1/4,25/4,?  Choices.
A) next number is 48	B) 58	C) 40	D) 43	E) 44

Solution: [1,1/2,3/2,2],[5,1/3/16/3,15],[12,1/4,25/4,x]   1+1/2=3/2. .....1/1/2=2   5+1/3=16/3. ....5/1/3=15   12+1/4=25/4....12/1/4=48   next number is 48NSWER:next number is 48
Answer: A
A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination. If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly :  Choose the correct option:
A) 21.6 % B) 21.9 % C) 21.7 % D) 21.2 % E) 21.1 %

Solution: Explanation:   Total money = = Rs. 750.   25 paise coins removed == 72.   50 paise coins removed = = 288.   Money removed = = Rs.162.   Required percentage = % = 21.6 %.   21.6 %nswer: 21.6 %)
Answer: A
The selling price of 13 apples is the same as the cost price of 26 mangoes . The selling price of 16 mangoes is the same as the cost price of 12 apples. If the profit on selling mangoes is 20%, What is the profit on selling apples? Choose the correct option:  A) 20%  B) 25%  C) 40%  D) 50%  E) 60%

Solution: Given that S.P of 13 apples = C.P of 26 mangoes   S.P of an apple = 2*C.P of the mango   S.P of 16 mangoes = C.P of 12 apples   C.P of the apple = 4/3 *S.P of the mango   Mango Apple   C.P x 4/3*y   S.P y 2x   Given that y = 1.2x   C.P of apple = 4/3*1.2= 
4/3*1.2 = 1.6
1.6x   Profit on each apple= (S.P – C.P)/C.P*100,   = (2x –1.6x)/1.6*100 = 0.4/1.6 *100= 
0.4/1.6 *100 = 25
25%   ANSWER:25%
Answer: B
Sudhir started a business with Rs.50,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be	Choose the most appropriate option:
A) 3:2
B) 5:2
C) 4:3
D) 3:4
E) 3:5

Solution: 50000*12:60000*(12-8)   =600000 :240000   =5:2   ANSWER:5:2
Answer: B
Michael drives to hospital in 30 minutes at certain speed & he doubles his speed while returning. Calculate the total time taken for the round trip Pick:
A) 30 minutes B) 20 minutes C) 45 minutes D) 60 minutes E) 40 minutes

Solution: s1 = d1/t1;   s2 = d2/t2   Speed = distance / time taken   In this case d1= d2   Total time = t1 + t2   t1 = 30 minutes & t2 = 15 minutes (since speed is doubled over the same distance)   T= 30 + 15= 
30 + 15 = 45
45 minutes   ANSWER: 45 minutes
Answer: C
y=x/(x-k),where k is a constant,and x is real number.show that.
1.y increase with increase in x.
2.y decreases first and then increase with the value of x.
3.y increase then decrease with the value of x.
4.it remains constant.	Choose the correct choice
A) 2
B) 18
C) 1
D) 77
E) 33

Solution: Typical question. Taking k =5 and we draw the graph,   If x increases y decreases but when x equal to k, y value becomes infinite. But when x is greater than k, y value slowly reaches to 1. So it decrease from infinite to 1.   Answer:18
Answer: B
Calculate Ruth's average score in an exam if she obtained the following marks 69, 89, 65, 82 and 58 out of 100 in different subjects.
Select the correct option.
A) 75.6
B) 72.6
C) 71.6
D) 73.6
E) 74.6

Solution: Explanation:   (69+89+65+82+58)/5= 
(69+89+65+82+58)/5 = 363/5 = around 72.6
72.6   Answer: Option 72.6
Answer: B
A meeting has to be conducted with 4 managers. Find the number of ways in which the managers may be selected from among 8 managers, if there are 2 managers who refuse to attend the meeting together. Pick one
A) 48
B) 55
C) 58
D) 62
E) 70

Solution: The total number of ways to choose 4 managers is 8C4 = 70   We need to subtract the number of groups which include the two managers, which is 6C2 = 15.   70 - 15= 
70 - 15 = 55
55   The answer is 55.
Answer: B
In a rectangular axis system, what is the area of a parallelogram with the coordinates: (3,5), (9,5), (2,7), (8,7) ?  Choose one:
A) 21.
B) 28.
C) 35.
D) 12.
E) 52.

Solution: 12.elta x will give us the dimension of one side of the parallelogram = 9-3= 
9-3 = 6
6 unit   12.elta y will give us the dimension of the other side of parallelogram= 7-5= 
7-5 = 2
2 unit   Area of parallelogram= 6*2= 
6*2 = 12
12   ANSWER IS 12.
Answer: D
If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a six-percent vinegar solution, what was the concentration of the original solution?
Choose the correct choice.
A) 19.3% B) 31% C) 16.67% D) 15.5% E) 12.5%

Solution: Let X be the quantity of non-vinegar in the strong vinegar solution   Thus vinegar quantity will be 12 - X   When 50 ounces of water were added the percentage of vinegar becomes 6%, thus (12 - X)/62 = 6/100   From this equation X = 8.28   Answer (12-8.28)/12 = 31%   ANSWER:31%
Answer: B
A circular path of 20 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?  Choose the correct choice from the following answers.
A) Rs.49	B) Rs.40	C) Rs.44	D) Rs.42	E) Rs.66

Solution: Rs.66xplanation:   π (22^2 - 20^2) = 22/7 *(484-400)= 
22/7 *(484-400) = 264
264   264 * 1/4= Rs.66   Answer: Option Rs.66
Answer: E
2: 3 = 4/5: x. The value of x is?
Choose one:
A) 6/5  B) 2  C) 3  D) 4  E) 5

Solution: x * 2 = 3 * 4/5   x *2= 12/5   x=6/5   6/5NSWER:6/5
Answer: A
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles? Choices:
A) 2000	B) 3377	C) 2667	D) 2887	E) 2677

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   2000nswer:2000
Answer: A
If a certain sample of data has a mean of 30.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean? Pick one:
A) (14.0; 16.5)
B) (14.5; 21.0)
C) (14.0; 26.5)
D) (16.5; 26.0)
E) (21.0; 36.5)

Solution: 2.5 standard deviation equals to 2.5*2= 
2.5*2 = 5
5;   2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 25 to 35:   The correct answer choice must cover all this range: only answer choice E does this.   Answer: (21.0; 36.5).
Answer: E
An article is listed at Rs. 920. A customer pays Rs. 742.90 for it after getting two successive discounts. If the rate of first discount is 15%, the rate of 2nd discount is:	Choose the correct choice from the following choices: A) 3% B) 5% C) 8% D) 12% E) None

Solution: Solution: MP = 920.   After first discount Marked Price (MP) become,   = 920 - 15% of 920 = 782.   The Selling Price (SP) = 742.90.   Let second discount was x% on 782.   782 - x% of 782 = 742.90   782x/100 = 39.1   782x = 3910   x = 5%.   Second Discount = 5%.   Answer: Option 5%
Answer: B
A question paper consists of two sections A and B having respectively 3 and 4 questions.Four questions are to be solved to qualify in that paper.It is compulsory to solve at least one question from section A and 2 questions from section B .In how many ways can a candidate select the questions to qualify in that paper?	Choose the correct choice from the following answers:
A) 30
B) 40
C) 42
D) 44
E) 46

Solution: here two cases are possible.   case 1) 1 question from section 30 and 3 question from section B are solved = 3C1.4C3   case 2) 2 question from section 30 and 2 question from section B are solved = 3C2.4C2   thus total number of ways = 3C1.4C3 + 3C2.4C2 = 30   30NS:30
Answer: A