MU-NLPC/Calc-aqua_rat huggingface dataset:
Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is:	Pick: A) 108 B) 75 C) 80 D) 110 E) 101

Solution: Let the present ages of the father and son be 2x and x years respectively.   Then, (2x - 18) = 3(x - 18) => x = 36   Required sum = (2x + x) = 108 years.   108NSWER 108
Answer: A
In a 50-mile trip, the first 10 miles were completed at 50 mph. If the average speed for the whole trip was 60 mph, what was the average speed in the last 40 miles?	Choose the correct choice:
A) 1200/19 mph	B) 1100/19 mph	C) 1000/17 mph	D) 900/17 mph	E) 800/17 mph

Solution: The time to complete the first 10 miles was (10 miles / 50 mph) = (1/5) hours.   The time to complete the whole trip was (50 miles / 60 mph) = (5/6) hours.   The time to complete the last 40 miles was (5/6) - (1/5) = (19/30) hours.   The average speed in the last 40 miles was (40 miles / (19/30) hours) = 1200/19 mph.   The answer is 1200/19 mph.
Answer: A
The digital sum of a number is the sum of its digits. For how many of the positive integers 24-140 inclusive is the digital sum a multiple of 7?  Choose the correct choice: A) 7 B) 8 C) 14 D) 15 E) 20

Solution: is there other way than just listing?   25   34   43   52   59   61   68   70   77   86   95   106   115   124   133   15 ways..   15
Answer: D
If x is 20 percent greater than 80, then x = Choose the correct choice from the following options.
A) 68  B) 70.4  C) 96  D) 105.6  E) 108

Solution: X is 20% greater than 80 means X is 1.2 times 80 (in other words 80 + 20/100 * 80 = 1.2 * 80)   Therefore, X = 1.2 * 80= 
1.2 * 80 = 96
96.00   ANSWER:96
Answer: C
h, b, c, and d are positive integers. If the remainder is 9 when h is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d?
Pick:
A) 20  B) 19  C) 18  D) 16  E) 15

Solution: When h is divided by b remainder is 9 that means b is greater than or equals to 10, similarly d is greater than or equals to 6.   b + d cannot be 15, hence 15 is the answer.
Answer: E
The average of first 15 natural numbers is? Choose the correct choice from the following options:
A) 7 B) 8 C) 9 D) 10 E) 11

Solution: Sum of 15 natural no. = 240/2= 
240/2 = 120
120   Average= 120/15= 
120/15 = 8
8   Answer:8
Answer: B
the sum of 5th and 21th term of A.P. is equal to the sum of 8th , 15th and 13 th term . find the term which is 0	Choose one
A) 11 B) 10 C) 12 D) 13 E) 14

Solution: t5 + t21 = t8 + t15 + t13   => a+4d + a+20d = a+7d + a+14d + a+12d   => a + 9d = 0   => t10 = 0 i.e. 10th term is zero.   ANSWER: 10
Answer: B
A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choose one
A) 6	B) 5	C) 7	D) 4	E) 1

Solution: 45*12 : 54*x = 2: 1   x = 5   12 -5= 
12 -5 = 7
7   Answer: 7
Answer: C
In a sports club with 30 members, 17 play badminton and 19 play tennis and 3 do not play either. How many members play both badminton and tennis?  Select the correct option
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,   (17-x)+(19-x)+x+3=30   39-2x+x=30   39-x=30   x=9   So 9 members play both badminton and tennis.   9
Answer: C
In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the
votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the
total number of votes Pick one:
A) 16800  B) 15800  C) 16700  D) 15700  E) None of these

Solution: Explanation:   Let the total number of votes enrolled are x.   Number of votes cast = 75% of x   Valid votes = 98% of 75% of x   Now, as 9261 is the 75% of valid casted votes so,   75% of 98% of 75% of x = 9261 [imporant]   =>75×98×75×x100×100×100=9261=>x=16800   16800nswer: Option 16800
Answer: A
In a basket 7 apples are available. Jack wants to take 5 apples.In how many ways to choose apples?	Choices.
A) 21
B) 12
C) 22
D) 30
E) 35

Solution: There are 7C5 possible ways to choose apples   7C5=7!/5!*2!=7*6*5!/5!*2*1   =21 ways   21ns:option 21
Answer: A
Two numbers N and 14 have LCM = 56 and GCF = 10. Find N. Choose the correct answer
A) 24 B) 40 C) 44 D) 54 E) 64

Solution: The product of two integers is equal to the product of their LCM and GCF. Hence.   14 × N = 56 × 10   N = 56 × 10 / 14 = 40   correct answer 40
Answer: B
The operationis defined for all integers a and b by the equation ab = (a - 1)(b - 1). If x15 = 98, what is the value of x ?	Choose the correct choice from the following answers.
A) 8 B) 7 C) 10 D) 11 E) 12

Solution: ab = (a - 1)(b - 1)   x15 = (x-1)(15-1) = 98 --> x-1=7 --> x=8   8nswer: 8.
Answer: A
The price of a certain car this year is $ 42,000, which is 25 percent greater than the cost of the car last year. What was the price of the car last year?
Choose the correct choice from the following options:
A) $27,000
B) $28,000
C) $31,500
D) $33,600
E) $34,500

Solution: 125% of Cost of car last year = $42000   1.25 of Cost of car last year = $42000   i.e. Cost of car last year = $42000/1.25= 
42000/1.25 = 33_600
$33600   Answer: option $33,600
Answer: D
Find the odd man out
3, 8, 15, 24, 34, 48, 63 Pick one
A) 15
B) 24
C) 34
D) 48
E) 58

Solution: difference between numbers are 5, 7, 9, 11, 13, 15   3+5= 
3+5 = 8
8   8+7= 
8+7 = 15
15   15+9= 
15+9 = 24
24   24+11= 
24+11 = 35
35   35+13= 
35+13 = 48
48   48+15= 
48+15 = 63
63   ANSWER:34
Answer: C
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Choose the correct choice from the following choices:	A) 8	B) 9	C) 10	D) 89	E) 81

Solution: 80% --- 12   120% --- ?     80/120 * 12= 
  80/120 * 12 = 8
8   8nswer: 8
Answer: A
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choose the correct option
A) 9.8 sec  B) 12.1 sec  C) 12.42 sec  D) 14.3 sec  E) 9.2 sec

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 132= 
110 + 132 = 242
242 m.   Required time= 242/20= 
242/20 = 121/10 = around 12.1
12.1 sec.   ANSWER:12.1 sec
Answer: B
When x divided by 288, the remainder is 47. Find the remainder when the same x is divided by 24?
Choices.
A) 20	B) 21	C) 23	D) 26	E) 29

Solution: 23   Option 23
Answer: C
What is the last digit in(7^95 - 3^58)?  Pick:
A) 5  B) 6  C) 4  D) 9  E) 5.5

Solution: Explanation:   Unit digit in 795 = Unit digit in [(74)23 x 73]   = Unit digit in [(Unit digit in(2401))23 x (343)]   = Unit digit in (123 x 343)   = Unit digit in (343)   = 3   Unit digit in 358 = Unit digit in [(34)14 x 32]   = Unit digit in [Unit digit in (81)14 x 32]   = Unit digit in [(1)14 x 32]   = Unit digit in (1 x 9)   = Unit digit in (9)   = 9   Unit digit in (795 - 358) = Unit digit in (343 - 9) = Unit digit in (334) = 4.   So, Answer 4
Answer: C
The sector of a circle has radius of 21 cm and central angle 130o. Find its perimeter?	Choose the most appropriate option:
A) 91.5 cm B) 89.6 cm C) 91.8 cm D) 92.5 cm E) 99.5 cm

Solution: Perimeter of the sector = length of the arc + 2(radius)   = (130/360 * 2 * 22/7 * 21) + 2(21)   = 47.6 + 42= 
47.6 + 42 = 89.6
89.6 cm   Answer:89.6 cm
Answer: B
In a camp, there is a meal for 110 men or 180 children. If 145 children have taken the meal, how many men will be catered to with remaining meal?  Choose the correct answer:	A) 20	B) 30	C) 50	D) 21	E) 40

Solution: There is a meal for 180 children. 145 children have taken the meal.   Remaining meal is to be catered to 35 children.   Now, 180 children 110 men.   35 children (110/180)	* 35 = 21 men   Answer is 21.
Answer: D
Find the odd man out. 23, 27, 36, 52, 77, 111, 162	Select the correct option.
A) 162  B) 111  C) 52  D) 27  E) 23

Solution: Explanation :   23 + 22 = 27   27 + 32 = 36   36 + 42 = 52   52 + 52 = 77   77 + 62 = 113   113 + 72 = 162   Hence, 113 should have come in place of 111   Answer : Option 111
Answer: B
A watch was sold at a loss of 10%. If it was sold for Rs.225 more, there would have been a gain of 5%. What is the cost price?	Select.
A) 1000
B) 1500
C) 2778
D) 2788
E) 2991

Solution: 90%   105%   --------   15% ---- 225   100% ---- ? => Rs.1500   Answer:1500
Answer: B
A train 100 m long crosses a platform 125 m long in 2 sec; find the speed of the train?	Choose the correct choice from the following answers
A) 36	B) 405	C) 200	D) 302	E) 404

Solution: D = 100 + 125= 
100 + 125 = 225
225   T= 2   S = 225/2 * 18/5= 
225/2 * 18/5 = 405
405 kmph   Answer: 405
Answer: B
If x is an integer, then x(x - 1)(x - m) must be evenly divisible by three when m is any of the following values EXCEPT Pick one:	A) -4	B) -2	C) -1	D) 2	E) 5

Solution: here's another approach   x(x - 1)(x - m)   all three are consecutive, so the product MUST be a multiple of 3   we don't know the value of k just yet ... so let's extend the series ... the extension itself reveals the answers   ..(x-5)..(x-2)(x-1)x(x+1)..(x+4)..   we can see the possible values of m too from the series   m = 2 OR 2+3n [25]   m= -1 OR -1+3n [-1-4]   B i.e. -2 does not fit in any value of m   so -2 it is
Answer: B
A train 400 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? Choose the correct answer
A) 298 m	B) 500 m	C) 900 m	D) 967 m	E) 1181 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (400 + x)/60 = 65/3   x = 900 m.   Answer: 900 m
Answer: C
sale of Rs 6835, Rs. 9927, 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, 7000 ?  Pick one.
A) 4966	B) 2477	C) 2877	D) 7991	E) 8881

Solution: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.   Required sale = Rs.[(6500 x 6) - 34009]   = Rs. (42000 - 34009)   = Rs. 7991   Answer: 7991
Answer: D
What is 990*990?	Answers:
A) 974,169	B) 974,219	C) 974,549	D) 980,100	E) 985,369

Solution: if you take a base of 1000 then 990 is 10 less than 1000   to get the product of 990 x 990 write like this   990- 10( as 10 less than base1000)   990- 10   now 10 x 10 = 100   and  990-10= 
 990-10 = 980
980   so 990 x 990= 980100 ... (bingo the answer is D . you can even have a shortcut ...... 10 x 10 = 100... only answer choice has last three digits as 100.. so no need to calculate 990-10 . after you get 10 x 10 you can straight way pick answer choice 980,100.
Answer: D
An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. How many kilograms of the ore are needed to obtain 60 kg of pure iron?  Pick one.
A) 250 kg	B) 275 kg	C) 300 kg	D) 266.66 kg	E) None

Solution: Solution: Let there is 100 kg of ore.   25% ore contains 90% off Iron that means 25 kg contains;    25*90/100= 
 25*90/100 = 45/2 = around 22.5
22.5 kg Iron.   22.5 kg Iron contains 100 kg of ore.   Then, 1 kg of iron contains= 25/100 kg ore;   Hence, 60 kg iron contains = 100*60/22.5 = 266.66 kg ore.   Answer: Option 266.66 kg
Answer: D
The probability of rain showers in Barcelona on any given day is 0.2. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
Choose the correct choice from the following choices
A) 0.144
B) 0.072
C) 0.432
D) 0.72
E) 0.384

Solution: IMO This is just for first day! It can rain on 2nd day or 3 rd day (and not rain on other days) in 3 consecutive days!   Hence,   0.2*0.8*0.8 + 0.8*0.2*0.8 + 0.8*0.8*0.2= 
0.2*0.8*0.8 + 0.8*0.2*0.8 + 0.8*0.8*0.2 = 0.384
0.384   Option - 0.384
Answer: E
A man purchased 3 blankets @ Rs.100 each, 6 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?  Choose the most appropriate option:
A) A)300 B) B)350 C) C)450 D) D)470 E) E)500

Solution: Explanation:   10 * 150= 
10 * 150 = 1_500
1500   3 * 100 + 6* 150= 
3 * 100 + 6* 150 = 1_200
1200   1500 – 1200=300   300
Answer: A
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons? Select the correct option
A) 210
B) 220
C) 240
D) 250
E) 270

Solution: 7p3 = 7 × 6 × 5 = 210   210)
Answer: A
What is the compound interest paid on a sum of Rs.700 for the period of 2 years at 10% per annum.	Choose the correct choice:
A) 130
B) 620
C) 147
D) 120
E) None of these

Solution: Solution= Interest % for 1st year= 10   Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100= 
10+ 10 *10/100 = 11
11   Total % of interest= 10 + 11= 
10 + 11 = 21
21   Total interest= 21 % 700 = 700 * (21/100)= 
700 * (21/100) = 147
147   Answer 147
Answer: C
Of the 80 electronics components that a factory must manufacture, 60 percent would be most e¢ ciently manufactured by Machine A and the remaining 40 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 80 components. If 60 percent of the components were manufactured by Machine A and the remainder were manufactured by Machine B, what is thehighest possible number of components that were manufactured by the machine that would manufacture them the most efficiently?
Select the correct option:	A) 80	B) 32	C) 33	D) 35	E) 36

Solution: A can manufacture 60 % of 80 efficiently, which is 48.   B can manufacure 40 % of 80 efficiently, which is 32.   Now 60 % of 80 are produced by A. This means 48 parts. Since A can produce 48 efficiently, all 48 are produced efficiently. Rest (32) is produced by B, which can produce max. 32 parts efficiently.   Hence parts that were produced efficiently = 32+48= 
32+48 = 80
80. (80).
Answer: A
Raja purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?  Choose the correct choice from the following choices.
A) 68980  B) 46898  C) 56849  D) 17600  E) 21349

Solution: D   Price at which the TV set is bought = Rs. 12,500   Discount offered = 20%   Marked Price = 12500 * 100/80 = Rs. 15625   The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000   The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 110/100 = Rs. 17600
Answer: D
The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.	Pick one: A) 9: 8 B) 9: 5 C) 9: 1 D) 9: 2 E) 9: 4

Solution: a1 : a2 = 3 : 1   6 a12 : 6 a22 = 9: 1   Answer:9: 1
Answer: C
When x is divided by y, the quotient is z with remainder r. Which of the following is equal to r?	Options:
A) yz – x	B) y/x−z	C) x – y – z	D) x – yz	E) zx – y

Solution: (x/y)=z(+r)   (18/8)=2(+2)   x-yz   which is   18-(8*2)= 
  18-(8*2) = 2
2   Answer is x – yz
Answer: D
A miniature gumball machine contains 4 blue, 3 green, and 2 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?  Choose the correct choice from the following:
A) 2/7
B) 3/7
C) 3/14
D) 5/24
E) 7/24

Solution: The total number of ways to dispense 3 gumballs is 9C3=84.   The number of ways to choose one of each color is   4*3*2= 
  4*3*2 = 24
24.   P(dispensing one of each color)=24/84=2/7.   The answer is 2/7.
Answer: A
In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ? Pick:
A) 22	B) 27	C) 75	D) 29	E) 271

Solution: Explanation:   Let the number of students in the class be 100 and let this required average be x.   Then, (10 * 95) + (20 * 90) + (70 * x) = (100 * 80)   => 70x = 8000 - (950 + 1800)= 
8000 - (950 + 1800) = 5_250
5250=> x = 75.   Answer: 75) 75
Answer: C
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ?	Choose the correct choice from the following
A) 38 men B) 32 men C) 34 men D) 30 men E) None of these

Solution: Explanation:   There is meal for 200 children. 150 children have taken the meal.   Remaining meal is to be catered to 50 children.   Now, 200 children = 120 men   So, 50 Children = 120/200 * 50= 
120/200 * 50 = 30
30 men   Answer: 30 men
Answer: D
A car is purchased on hire-purchase. The cash price is $25 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?
Choose the correct choice from the following
A) $500
B) $504
C) $505
D) $560
E) $600

Solution: $600xplanation:   Cash price = $25 000   Deposit = 10% Ã— $25 000 = $2500   Loan amount = $25000 âˆ’ $2500   Number of payments = 60   = $22500   I=p*r*t/100   I=13500   Total amount = 22500 + 13500= 
22500 + 13500 = 36_000
$36000   Regular payment= total amount /number of payments =600   Answer: $600
Answer: E
The ratio between the presents of the A and B is 6:7. If B is 4 years older than A, what will be the ratio of the ages of A and B after 4 years?
Answers
A) 1:2	B) 9:11	C) 7:8	D) 6:7	E) 3:4

Solution: Let A and B ages will be 6x and 7x   7x - 6x = 4   x = 4   Required ratio = 6x+4 : 7x+4 = 28:32 = 7:8   Answer is 7:8
Answer: C
The salary of A, B, C, D, E is Rs. 10000, Rs. 5000, Rs. 11000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is  Choose the correct choice from the following answers
A) Rs. 7000  B) Rs. 8400  C) Rs. 8500  D) Rs. 9000  E) None

Solution: Answer   Average salary   = 10000 + 5000 + 11000 + 7000 + 9000 / 5   = Rs. 8400   Correct Option: Rs. 8400
Answer: B
The triplicate ratio of 1:8 is?	Options:
A) 1:0
B) 1:8
C) 1:7
D) 1:512
E) 1:1

Solution: 13: 83 = 1:512   Answer: 1:512
Answer: D
The length of the bridge, which a train 110 meters long and travelling at 45 km/hr can cross in 30 seconds, is?	Pick one.
A) 328
B) 279
C) 265
D) 288
E) 211

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (110 + X)/30 = 25/2 ==> 2(110 + X) = 750 ==> X = 265 m.Answer: 265
Answer: C
A man and a boy complete a work together in 24 days. If for the last 6 days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone? Choose the correct choice from the following:
A) days
B) days
C) days
D) days
E) days

Solution: Explanation:   (man + boy)’s 1 day’s work = 1/24   Their 20 day’s work = 1/24 × 20 = 5/6   The remaining 1/6 work is done by the man in 6days   Therefore, the man alone will finish the work in 6 × 6 days = 36 days   Man’s 1 day’s work = 1/36   Therefore, boy’s 1 day’s work = 1/24 – 1/36 = 3 – 2 /72 = 1/72   Therefore, the Boy alone will finish the work in 72 days.   daysnswer: Option days
Answer: A
Pinky bought six Chocolate at an average price (arithmetic mean) of 5¢. If Pinky returned four chocolate to the retailer, and the average price of the remaining chocolate was 2¢, then what is the average price, in cents, of the four returned chocolates?
Choices:
A) 6.5	B) 5.5	C) 4.5	D) 5	E) 6.4

Solution: Total price of 6 chocolates=6*5= 
6*5 = 30
30   Total price of 2 chocolates=2*2= 
2*2 = 4
4   Total price of 4 returned chocolates=30-4= 
30-4 = 26
26   6.5verage price of 4 returned chocolate=26/4= 
26/4 = 13/2 = around 6.5
6.5   Correct option 6.5nswer:6.5
Answer: A
John makes $30 a week from his job. He earns a raise andnow makes $40 a week. What is the % increase? Pick one:  A) 16%  B) 33.33%  C) 33.69%  D) 33.98%  E) 37%

Solution: Increase = (10/30)*100 = (1/3)*100 = 33.33%.   33.33%
Answer: B
The avearage age of boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is	Answers:
A) 15 years
B) 15.5 years
C) 16 years
D) Cannot be computed
E) None of these

Solution: Solution   Clearly, to find the average,we ought to know the numbers of boys , girls or students in the class, neither of which has been given.   so the data provided is inadequate.   Answer Cannot be computed
Answer: D
Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment
S1 ---------------------- 5 ------------------------------------------ 5,000
S2 ---------------------- 5 ------------------- ---------------------- 12,000
S3 ---------------------- 8 ------------------------------------------ 17,000
S4 ---------------------- 7 ------------------------------------------ 16,000
A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?
Choose the correct option.
A) 14
B) 20
C) 22
D) 30
E) 25

Solution: for a total of 51000 chips (adding S1,S2,S3,S4) total number of defective chips is 17 ((adding defective chips of S1,S2,S3,S4) so ratio is 25/50000 or 1 every 2000 chips.   Keeping this ratio constant for 60000 chips number of defective chips will be   (1/2000) * 60000= 
  (1/2000) * 60000 = 30
30   30
Answer: D
A classroom has equal number of boys and girls. NINE girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?	Choose the correct choice from the following choices:
A) 36
B) 24
C) 32
D) 48
E) 54

Solution: after 9 girls left remaining 9 girls   now boys 18 are twice as many as remaining girls.   initially boys=18 and girls=18.   36NSWER:36
Answer: A
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
Choose the correct choice from the following answers:  A) 31.11 km/hr  B) 35.55 km/hr  C) 71.11 km/hr  D) 36 km/hr  E) 71 km/hr

Solution: Total time taken = 160/64 + 160/80 = 9/2 hours   --> Average speed = 320 x 2/9 = 71.11 km/hr.   Answer : 71.11 km/hr.
Answer: C
The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 95 students?  Choose the correct choice from the following answers:
A) 14 years	B) 1.7 years	C) 1.9 years	D) 2.8 years	E) None

Solution: Solution   Sum of the ages of 14 students	= (16 x 35) - (14 x 21)   = 560 - 294.= 
560 - 294. = 266
266.   ∴ Required average= 266 / 95= 
266 / 95 = 14/5 = around 2.8
2.8years.   Answer 2.8 years
Answer: D
What decimal fraction is 40 ml of a litre ?	Choose the correct choice: A) .4 B) .04 C) .05 D) 0.04 E) None of these

Solution: Answer   Required fraction = 40/1000   = 4/100= 
4/100 = 1/25 = around 0.04
.04   Correct Option: .04
Answer: B
A certain manufacturer sells its products	to stores in 113 different	regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an	average of 51,750 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufacturer’s product	sold	worldwide last	year?
Choose the most appropriate option:  A) 10^5  B) 10^6  C) 10^7  D) 10^8  E) 10^9

Solution: 51750*181*113 or   51000*180*113 or   50000*200*100   =10^9   10^9
Answer: E
Rajani, Roja and Ramani share a sum of money in the ratio 7 : 8 : 16. If Ramani receives Rs. 27 more than Rajani, then the total money shared was:	Select
A) Rs 33
B) Rs 49
C) Rs 93
D) Rs 69
E) Rs 77

Solution: Explanation :   Let Rajani = 7x, Roja = 8x & Ramani = 16x. Then, total money = 31x.   Now, Ramani - Rajani = 27 so 16x7x = 27 that is why x = 3.   Total money 31*x = Rs.93.   Answer : Rs 93
Answer: C