MU-NLPC/Calc-aqua_rat huggingface dataset:
Consider the sequence of numbers beginning 23, 27, 28, 32, 33... It continues in such a way that by adding 5 to the nth term, one obtains the (n + 2)th term. What is the sum of the first 17 members of this sequence? Pick one:
A) 878
B) 900
C) 743
D) 928
E) 1022

Solution: I would split them up like this.   23 28 33 and so on (9 terms)....the 9th term = 23+8*5= 
23+8*5 = 63
63   27 32 37 and so on (8 terms)......the 8th term= 27+7*5= 
27+7*5 = 62
62   Since the distance between any two numbers is the same we can use arithmetics   first+last/2 times no of numbers= the sum   (23+63)/2 * 9= 
(23+63)/2 * 9 = 387
387   (27+62)/2 * 8= 
(27+62)/2 * 8 = 356
356= 743   743
Answer: C
Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
Select: A) 2 B) 3 C) 5 D) 6 E) 8

Solution: 2: 5: 13   2x 5x 13x   15 7.5 2.5   30x + 37.5x + 32.5x = 100x/20x   Average 30  + 37.5  + 32.5= 
30  + 37.5  + 32.5 = 100
100x/20x   Average = 5.Answer: 5100 /20= 
100 /20 = 5
5.Answer: 5
Answer: C
If A : B : C = 3 : 4 : 7, then what is the ratio of (A / B) : (B / C) : (C / A)?  Pick one.
A) 63 : 48 : 196  B) 63 : 48 : 18  C) 63 : 48 : 1928  D) 63 : 48 : 1918  E) 63 : 48 :121

Solution: Hint: If a = kb for some constant k, then we can say that a is directly proportional to b.   63 : 48 : 196 : B : C = 3 : 4 : 7   63 : 48 : 196ssume, 63 : 48 : 196 = 3 k, B = 4 k, C = 7 k   Therefore,   63 : 48 : 196	=	(3k)	,	B	=	(4k)	,	C	=	(7k)   B	(4k)	C	(7k)	63 : 48 : 196	(3k)   63 : 48 : 196	=	(3)	,	B	=	(4)	,	C	=	(7)   B	(4)	C	(7)	63 : 48 : 196	(3)   L.C.M of 3, 4, 7 is 84   (3 x 84) / 4 = 63   (4 x 84) / 7 = 48   (7 x 84) / 3 = 196\   Correct option :63 : 48 : 196
Answer: A
The length of a rectangle is increased by 45% and its breadth is decreased by 20%. What is the effect on its area?
Choose one
A) 1288	B) 1299	C) 1000	D) 10000	E) 11600

Solution: 100 * 100= 
100 * 100 = 10_000
10000   145 * 80= 
145 * 80 = 11_600
11600   Answer: 11600
Answer: E
Along a road lie an odd number of stones placed at intervals of 10m. These stones have to be assembled around the middle stone. A person can carry only one stone at a time. A man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. Then the number of stones is  Choose the correct choice.
A) 35
B) 15
C) 29
D) 31
E) 29

Solution: Explanation :   If he travels 10 m for the first stone he has to travel that dist back as well...so he travels 2 * 10 m dist for the first stone and so on.   => 2400 = 2 * (10 + 20 + 30 .... 10n) using formula for AP   => 2400 = 2 * n/2*(2*10 + (n-1)*10) .   => 2400 = 10n2 + 10n .   On solving this, we get n = 15 as the positive root, so total numer of stones on both sides= 30.   and including the one which he was at = 31.   Answer : 31
Answer: D
How many words can be formed by using all letters of TIHAR	Choose the correct answer:  A) 100  B) 120  C) 140  D) 160  E) None of these

Solution: Explanation:   First thing to understand in this question is that it is a permutation question.   Total number of words = 5   Required number =   5P5=5!=5∗4∗3∗2∗1=120   Option 120
Answer: B
How many odd prime numbers are there less than 100?  Select the correct option.
A) 78 B) 5 C) 24 D) 12 E) 15

Solution: Odd prime number less than 100:3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97   There is 24 the odd prime number   Answer is 24
Answer: C
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 20 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?
Choose the most appropriate option.
A) 3,150	B) 400	C) 5,040	D) 20,520	E) 84,000

Solution: MAGOOSHOFFICIAL SOLUTION:   For the large photos, we need 6C3, which we calculated in the article:   6C3 = 20   For the smaller photos, we need 20C19, which by symmetry must equal 20C1, and we have a formula for that. In fact, in the article above, we already calculated that 21C2 = 20.   Now, by the FCP, we just multiply these: total number of possible albums = 20*20= 
20*20 = 400
400.   Answer= 400
Answer: B
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Choose the correct choice from the following answers:
A) 202  B) 278  C) 377  D) 750  E) 378

Solution: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 25 è x = 25 * 60 / 2= 
25 * 60 / 2 = 750
750   Answer: 750
Answer: D
Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 90 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 2 at its maximum rate ?
Choose the correct choice from the following answers:
A) 2hrs, 48mins	B) 5hrs, 15mins	C) 7hrs, 12mins	D) 13hrs, 4mins	E) 14hrs, 24mins

Solution: The rate of pump 1 = 4x job/minute.   The rate of pump 2 = 2x job/minute.   The rate of pump 3 = x job/minute.   Given that x+2x+4x=1/90 --> x=1/630 --> (time) = (reciprocal of rate) = 630 minutes x/2 = 5 hours and 15 minutes.   Answer: 5hrs, 15mins.
Answer: B
Out of a group of 10 contestants, 2 are to be selected at random. What is the maximum number of male contestants possible if the probability that both selected contestants are male is less than 60% ? Choose one.
A) 0
B) 1.66
C) 2.55
D) 1.22
E) 4.88

Solution: Let x be the number of males.   Total contestants = 10   Probability that the first contestant selected is a male = x/10   Probability that the second contestant selected is also a male = x-1/9   Total probability = x(x-1)/ 90 < 1/60 (this probability is less than 60%)   Solving for x we get, x(x-1)< 3/2. This implies that the maximum value of x can be 1.22.   Answer 1.22!
Answer: D
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone. Pick:	A) 5 days	B) 18 days	C) 1 ½ days	D) 25 days	E) 69 days

Solution: Explanation:   3/20 * 2 + (2 + x)/5 = 1   x = 1 ½ days   Answer 1 ½ days
Answer: C
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 2 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is? Choose the correct choice from the following answers:
A) 60 gallons	B) 100 gallons	C) 120 gallons	D) 80 gallons	E) 130 gallons

Solution: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40   Volume of 1/40 part = 2 gallons\   Volume of whole = 2 * 40= 
2 * 40 = 80
80 gallons.   ANSWER:80 gallons
Answer: D
Sara and Alan start a company with Rs.100000 and Rs.50000 respectively. how should they share their profits at the end of one year? Choose the correct choice from the following.
A) 2:1	B) 3:4	C) 3:8	D) 3:1	E) 3:2

Solution: The ratio of the investments made by 2:1 and B =   100000: 50000=> 2:1.2:1nswer: 2:1
Answer: A
Two stations A and B are 20 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?  Choose the correct choice from the following answers
A) 9  B) 10  C) 11  D) 12  E) 8

Solution: Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 20   45x = 45   x = 1.   So, they meet at 8 a.m.   Answer: Option 8
Answer: E
In a question on division with zero remainder, a candidate took 15 as divisor instead of 5. The quotient obtained by him was 35. The correct quotient is? Choose the correct choice
A) A)105  B) B)24  C) C)28  D) D)29  E) E)30

Solution: Number = (35 * 15)= 
(35 * 15) = 525
525   Correct quotient= 525/5= 
525/5 = 105
105   105)
Answer: A
If John covers a certain distance in 1 hr. 24 min. by covering two third of the distance at 4 kmph and the rest at 5 kmph, then find the total distance  Choose the correct choice:
A) 4 km
B) 6 km
C) 6.8 km
D) 7.2 km
E) None of these

Solution: Explanation:   Let the total distance be y km. Then,   (2/3)y/4 +(1/3)y/5 =7/5   y/6 + y/15 = 7/5   7y =42   y = 6 km   ANSWER 6 km
Answer: B
Which of the following options is equal to 3.75 x 10(power 5)?  Choose one:
A) 175000	B) 372000	C) 375000	D) 365000	E) 374000

Solution: = 3.75 x 10(power 5)   = 3.75 x 100000   = 375000.   Answer is 375000.
Answer: C
A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 4 or 15?
Choices
A) 17/30  B) 2/5  C) 3/10  D) 4/15  E) 11/30

Solution: Number of Multiples of 4 from 1 through 30 = 30/4 = 7   Number of Multiples of 15 from 1 through 30 = 30/15= 
30/15 = 2
2   Number of Multiples of 4 and 15 both from 1 through 30= Number of Multiples of 15*4(=60) = 0   Total favourable cases = 7 + 2 - 0= 
7 + 2 - 0 = 9
9   Probability= 9 / 30 = 3/10   Answer: option 3/10
Answer: C
Before a salary hike, the weekly salary of a worker for 40 hours in a week was as much as he is paid now for 35 hours of work in a week. What is the percent increase in his salary for an hour?
Pick one:  A) 11 1/3  B) 12 1/4  C) 13 1/5  D) 14 2/7  E) 15

Solution: 280 is multiple of both 40 and 35   so I would rather take this value as the salary.   40 hrs 280$   1 hr=7$   Similarly   35 hrs 280$   1 hr=8$   Now   8-7= 
  8-7 = 1
1$ increase in salary per hour now to calculate %   1/7*100=14 2/7   ANSWER:14 2/7
Answer: D
Length of a rectangular plot is 32 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?	Choose the correct choice from the following:
A) 56 m B) 66 m C) 76 m D) 86 m E) 96 m

Solution: Let breadth = x metres.   Then, length = (x + 32) metres.   Perimeter = 5300 m = 200 m.   26.50   2[(x + 32) + x] = 200   2x + 32 = 100   2x = 68   x = 34.   Hence, length = x + 32 = 66 m   66 m
Answer: B
Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?  Choices
A) 17hr  B) 14hr  C) 12hr  D) 19hr  E) 20hr

Solution: Explanation:   relative speed =5.5−5=0.5 kmph (because they walk in the same direction)   distance =8.5 km   time=distance/speed=8.5/0.5= 
8.5/0.5 = 17
17 hr   17hrNSWER IS 17hr
Answer: A
In how many years will a sum of money doubles itself at 30% per annum on simple interest?  Pick:
A) 7%	B) 3%	C) 5%	D) 8%	E) 2%

Solution: P = (P*30*R)/100   R = 3%   Answer:3%
Answer: B
A and B walk around a circular track. They start at 9 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m.?  Answers
A) 8
B) 7
C) 6
D) 5
E) 3

Solution: Sol.   Relative speed = (2 + 3)= 
(2 + 3) = 5
5 rounds per hour.   So, they cross each other 5 times in an hour and 2 times in half an hour.   Hence, they cross each other 7 times before 9.30 a.m.   Answer 7
Answer: B
The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choose the most appropriate option:
A) 388  B) 267  C) 215  D) 288  E) 261

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (160 + X)/30 = 25/2 ==> 2(160 + X) = 750 ==> X = 215 m.   Answer: 215
Answer: C
If the price has fallen by 15% what percent of its consumption be: increased so that the expenditure may be the same as before? Pick
A) A)11%  B) B)10%  C) 1/9 %  D) 3/13 %  E) %

Solution: 100 – 15 = 85   85------15   100------? => 3/13%   ANSWER:3/13 %
Answer: D
If 7:13::301:x then the value of ‘x’ is:  Pick one.
A) 493
B) 537
C) 559
D) 587
E) 567

Solution: Given the question;   7:13::301:x   7/13 = 301/x   7x = 301*13   x = 301*13/7= 
301*13/7 = 559
559   ANSWER:559
Answer: C
Find large number from below question The difference of two no. is 1365. On dividing the larger no. by the smaller, we get 6 as quotient and the 15 as remainder?
Choices
A) 1234  B) 1456  C) 1256  D) 1456  E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
If the S.P of Rs. 45 results in a 50% discount on the list price, What S.P would result in a 40% discount on the list price?
Choose the correct choice from the following answers.
A) s. 54  B) s. 56  C) s. 58  D) s. 60  E) s. 62

Solution: Let the list price be Rs. X,   50/100*x = 45, x = 45*100/50= 
45*100/50 = 90
90   Required S.P= 60% of Rs. 90   = 60*90/100= 
60*90/100 = 54
54   s. 54NSWER:s. 54
Answer: A
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 12000, then find the annual income of A? Pick one.
A) Rs. 420000
B) Rs. 403200
C) Rs. 201600
D) Rs. 504000
E) None of these

Solution: B's monthly income = 12000 * 112/100 = Rs. 13440   B's monthly income = 2 parts ----> Rs. 13440   A's monthly income = 5 parts = 5/2 * 13440 = Rs. 33600   A's annual income = Rs. 33600 * 12 = Rs. 403200   ANSWER:Rs. 403200
Answer: B
A is 50% of B. A is also 150% of C. What is the relation between B and C?  Choose the correct option:
A) B is 30% of C	B) C and B are equal	C) C is 75% of B	D) B is 150% of C	E) B is 300% of C

Solution: if...   A=.5B   A=1.5C   then...   .5B=1.5C   Divide all by .5   B=3C   so...   B is 300% of C   The answer is B is 300% of C
Answer: E
A coin is tossed live times. What is the probability that there is at the least one tail?	Choose the correct choice from the following answers:
A) 31/32	B) 31/38	C) 31/34	D) 31/31	E) 31/36

Solution: Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T) = 1 - 1/32 = 31/32   31/32nswer: 31/32
Answer: A
If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive
Options:
A) Rs. 600	B) Rs. 700	C) Rs. 800	D) Rs. 900	E) None

Solution: Solution: Let   P's capital = p,   Q's capital = q and   R's capital = r.   Then   4p = 6q = 10r   => 2p = 3q = 5r   =>q = 2p/3   r = 2p/5   P : Q : R = p : 2p/3 : 2p/5   = 15 : 10 : 6   R's share = 4650 * (6/31) = 150*6 = Rs. 900.   Answer: Option Rs. 900
Answer: D
In how many different number of ways 8 men and 2 women can sit on a shopa which can accommodate persons?
Choose the correct choice from the following answers:
A) 151252
B) 151225
C) 151211
D) 151200
E) 151250

Solution: 10p6 = 10 x 9 x 8 x 7 x 6 x 5 = 151200   151211)
Answer: C
The faces of Cuboid are to be painted by 6 different colors. In how many ways can be this be done? Choose the correct answer:
A) A.720 B) B.256 C) C.1 D) D.12 E) E.36

Solution: If I have to paint 6 sides with 6 different colour...   First face can have 6c1 options,   2nd would have 5c1, and subsequent ones would have 4c1, 3c1, 2c1 and 1 options respectively.   Total options = 6c1 X 5c1 x 4c1 x 3c1 x 2c1 x 1 = 720 distinct ways   Correct answer - A.720
Answer: A
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 36 seconds. What is the length of the goods train?	Pick one
A) 470 m B) 240 m C) 260 m D) 270 m E) None of these

Solution: Explanation:   Speed =[ 72 x (5/18) ]m/sec= 20 m/sec.   Time = 36 sec.   Let the length of the train be x metres.   Then,[ (x+250)/36 ]= 20   => x + 250 = 720   => x = 470. 470 mnswer: 470 m
Answer: A
If the sum of a set of 5 different positive prime numbers is 94, which of the following prime numbers must be in the set?
Choose the correct option:
A) 2,7,43  B) 3,11,31  C) 5,71,31  D) 7,43,53  E) 11,43,31

Solution: All prime numbers apart from 2 are odd.   Even + Even = Even   Odd + Even = Odd   Odd + Odd = Even   We are given 5 different prime numbers, whose sum is 94 i.e even   If we include 2, we will have 4 odd prime numbers and one even.   This sum would be odd   If we exclude 2, we will have 5 odd numbers.   This sum would be even   Hence 2 is included.   Option 2,7,43
Answer: A
The average marks of a class of 30 students is 40 and that of another class of 50 students is 90. Find the average marks of all the students?	Choose the correct choice from the following answers.
A) 71.25
B) 52.9
C) 52.1
D) 52.3
E) 42.5

Solution: Sum of the marks for the class of 30 students = 30 * 40= 
30 * 40 = 1_200
1200   Sum of the marks for the class of 50 students= 50 * 90= 
50 * 90 = 4_500
4500   Sum of the marks for the class of 80 students=   1200 + 4500= 
1200 + 4500 = 5_700
5700   71.25verage marks of all the students= 5700/80= 
5700/80 = 285/4 = around 71.25
71.25   71.25nswer:71.25
Answer: A
A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 10% profit on the cost of the item? Choices
A) 18	B) 21.6	C) 20	D) 22.5	E) 27

Solution: Producer price = $15;   The distributor wants to maintain a 20% profit on the cost of the item, thus he must get $ 15*1.2= 
 15*1.2 = 18
$18 after the store takes a commission of 10% of the final price --> (final price)*0.9= $18 --> (final price) = $20.   Answer: 20.
Answer: C
A man wants to sell his scooter .There are two offers one at Rs12000 cash and other at a credit of Rs12880 to be paid after 8 months ,money being at 18% per annum which is better offer?	Choices.
A) 24277 B) 12000 C) 28372 D) 36788 E) 17881

Solution: Explanation:   PW of Rs.12,880 due 8 months hence   = Rs\inline \fn_jvn \left [ \left ( \frac{12880\times 100}{100+(18\times \frac{8}{12})} \right ) \right ] =Rs.11500   Clearly 12000 in cash is a better offer.   Answer: 12000) Rs.12000
Answer: B
A scooter costs 20,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
Choose the correct choice.
A) 10,240  B) 12,500  C) 12,800  D) 12,000  E) None of these

Solution: 10,240fter first year, the value of the scooter = 16,000   10,240fter second year, the value of scooter = 12,800   10,240fter third year, the value of scooter = 10,240   10,240nswer 10,240
Answer: A
What is the least number should be added to 1056, so the sum of the number is completely divisible by 26? Choose the correct choice from the following answers.
A) 10	B) 20	C) 30	D) 40	E) 50

Solution: (1056 / 26) gives remainder 16   10 + 16= 
10 + 16 = 26
26, So we need to add 10   10
Answer: A
Average of five numbers is 27. If one number is excluded the average becomes 25. The excluded number is Choose the correct choice from the following choices:
A) 35
B) 45
C) 55
D) 65
E) 75

Solution: Explanation:   Number is (5*27) - (4*25) = 135-100= 
135-100 = 35
35   Option 35
Answer: A
In how many ways can an answer key for a quiz be written if the quiz contains 5 true-false questions followed by 3 multiple-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same? Choose the correct answer.
A) 1220	B) 1650	C) 1920	D) 2440	E) 2860

Solution: There are 2^5 = 32 possibilities for the true-false answers.   However we need to remove two cases for TTTTT and FFFFF.   There are  4*4*4= 
 4*4*4 = 64
64 possibilities for the multiple choice questions.   The total number of possibilities is  30*64= 
 30*64 = 1_920
1920.   The answer is 1920.
Answer: C
In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?	Pick:	A) 210	B) 360	C) 520	D) 775	E) 800

Solution: total fish = x   percentage of second catch = (2/40)*100= 
(2/40)*100 = 5
5%   so, x * 5%= 40   x = 800 ans 800.
Answer: E
1.	How much more would Rs.16000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly? Choose the correct choice from the following
A) A)Rs.4,225.60 B) B)Rs.4226.60 C) C)Rs.4,227.60 D) D)Rs.4,228.60 E) E)Rs.4,229.60

Solution: 16000(11/10)4 - 16000(6/5)2 = 4,225.60   Rs.4,225.60NSWER:Rs.4,225.60
Answer: A
The average weight of a group of boys is 30 kg. After a boy of weight 39 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Choose the most appropriate option.
A) A)4 B) B)8 C) C)6 D) D)2 E) E)1

Solution: Let the number off boys in the group originally be x.   Total weight of the boys = 30x   After the boy weighing 39 kg joins the group, total weight of boys = 30x + 39   So 30x + 39 = 31(x + 1) = > x = 8.   Answer:8
Answer: B
The total of the ages of Arun, Ajith, Ajay is 90 years. Ten years ago, the ratio of their ages was 1:2:3. What is the present age of Ajay? Choose one.
A) 40years  B) 35years  C) 38years  D) 30years  E) 42years

Solution: Let ages of 40yearsrun, 40yearsjith, 40yearsjay 10years ago be x,2x,3x   x+10 + 2x+10 +3x+10 = 90   x = 10   Ramesh present age = 3*10+10= 
3*10+10 = 40
40 years   40yearsnswer is 40years
Answer: A
If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 4 is subtracted and divided by 10?
Choose the correct choice from the following options
A) 4
B) 7
C) 8
D) 5
E) 3

Solution: Explanation:   Let the number be x. Then,   (x - 5)/7 = 7 => x - 5 = 49   x = 54   .: (x - 4)/10 = (54 - 4)/10= 
(54 - 4)/10 = 5
5   Answer: Option 5
Answer: D
A certain sum of money at simple interest amounted Rs.934 in 8 years at 2% per annum, find the sum?  Choices:
A) 338
B) 805
C) 890
D) 870
E) 261

Solution: 934 = P [1 + (8*2)/100]   P = 805   Answer:805
Answer: B
A certain airline's fleet consisted of 90 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?  Choose the most appropriate option.
A) 11 B) 12 C) 13 D) 14 E) 15

Solution: Let x be the number of years.   4x > 90 - 3x   7x > 90   x > 12 + 6/7   The answer is 13.
Answer: C
Reduce
803/876
to the lowest terms.  Select:
A) 11/12
B) 23/24
C) 26/27
D) 4/7
E) 6/9

Solution: Explanation:   HCF of 803 and 876 is 73, Divide both by 73, We get the answer 11/12   Option 11/12
Answer: A
Rs.705 is divided amongst A, B, C so that 3 times A's share, 5 times B's share and 4 times C's share are all equal. Find B's share?  Pick one:  A) 177  B) 150  C) 180  D) 716  E) 616

Solution: A+B+180 = 7053A = 5B = 4180 = xA:B:180 = 1/3:1/5:1/4= 20:12:1512/47 * 705= Rs.180Answer: 180
Answer: C
When 2 + 3 = 65, 3 + 4 = 125, 4 + 5 = 205, then 5 + 6 = ?	Options
A) 285 B) 305 C) 315 D) 350 E) 245

Solution: 2 + 3 => 2 Ã— 3 = 6 => 6 Ã— 10 + 5 = 65   3 + 4 => 3 Ã— 4 = 12 => 12 Ã— 10 + 5 = 125   4 + 5 => 4 Ã— 5 = 20 => 20 Ã— 10 + 5 = 205   Then 5 + 6 => 5 Ã— 6 = 30 => 30 Ã— 10 + 5 = 305   Answer : 305
Answer: B