Description : If the numerator of a fraction is increased by 400% and the denominator of the fraction is increased by 300%, the resultant fraction is 18/35 . What is the original fraction? a) 72/ 175 b) 87/ 123 c) 56/232 d) 45/241
Last Answer : Answer: A Fraction is x/y (x + 400/100 x ) / (y + 300/100 y) = 18/35 (500/100) x(35) = (400/100)y (18) (5x) × 35 = 18 × 4 y 175 x = 72 y x/y = 72/175
Description : If the numerator of a fraction is increased by 25% and the denominator is doubled, the fraction thus obtained is 5/9. What is the original fraction? a) 3/4 b) 7/8 c) 8/9 d) Cannot be determined e) None of these
Last Answer : Let the numerator & denominator of a fraction be n & d. According to questions, = n × 5 / d × 8 = 5/9 = n/d = 8 × 5 / 5 × 9 = n/d = 8/9 Answer: c)
Description : When 7 is added to the numerator and denominator of the fraction, then the new ratio of numerator and denominator becomes 13:19, what is the original ratio ? A) 11:13 B) 7:9 C) 4:7 D) Can’t be determined E) None of these
Last Answer : Answer: D X+7/y+7 = 13/19 x and y are different variable, so original fraction cannot be determined
Description : The cropping intensity of Groundnut + Arhar – Sugarcane is— (A) 200% (B) 300% (C) 150% (D) 250%
Last Answer : (C) 150%
Description : A three-phase squirrel cage induction motor has a starting torque of 150% and a maximum torque of 300% with respect to rated torque at rated voltage and rated frequency. Neglect the stator resistance and rotational losses. The ... maximum torque is (A) 13.48% (B) 16.42% (C) 18.92% (D) 26.79%
Last Answer : A three-phase squirrel cage induction motor has a starting torque of 150% and a maximum torque of 300% with respect to rated torque at rated voltage and rated frequency. Neglect the stator resistance and rotational losses. The value of slip for maximum torque is 26.79%
Description : Can anyone explain to me what's lacsap's fraction? Also how to find the general term use to find the numerator and denominator?
Last Answer : answer:This looks suspiciously like Pascal's Triangle, which is a way of generating and organizing the binomial coefficients. Or see Wolfram Mathworld. Pascal's triangle has wide appeal for its rich ... as well. Dynamite stuff from a 17C French genius! So what's with the backward spelling?
Description : Is there a fraction with a smaller numerator and denominator that is equivalent to 412?
Last Answer : If you mean 4/12 then it is equivalent to 1/3
Description : What is a fraction in which the greatest common factor of the numerator and the denominator is 1 is written in what?
Last Answer : simplest form
Description : What term describes a fraction that has numerator that is equal to or greater than the denominator?
Last Answer : It is classed as an improper fraction
Description : Why Can you multiply the numerator and denominator of a fraction by the same number to write an equivalent fraction?
Last Answer : Because a fraction is represented by the ratio of the twonumbers and multiplying both by the same number does not changetheir ratio.
Description : What is a fraction when the numerator is grater than its denominator?
Last Answer : It then is an improper or 'top heavy' fraction as for example7/4
Description : If either the numerator or the denominator of a fraction is prime number then the fraction must be in its simplest form.true or faulse?
Last Answer : 1
Description : Determine the relationship between the pair of words NUMERATOR : DENOMINATOR and then select the pair of words from the following which have a similar relationship: (A) fraction : decimal (B) divisor : quotient (C) top : bottom (D) dividend : divisor
Last Answer : (C) top : bottom
Description : Francis sold his pen at a profit of Rs.5. He calculated his profit percentage on his selling price and found it to be 50%. Find his profit percentage? a)100% b)150% c)200% d)250%
Last Answer : a)100%
Description : 60% loss on cost price is what percent loss on selling price? A. 28 B. 38 % C. 40 D. 150%
Last Answer : Answer – D (150 %) Explanation – Loss = 60% on CP i.e., 0.6CP ⇒ SP = 0.4CP Loss % on SP = loss/SP x 100 = 0.6CP/0.4CP x 100 = 150%.
Description : A reduction of 20% in the price of sugar enables a person to get 7.8 kg more sugar for Rs.3.90. The original price of sugar per kg is a) Rs. 10 b) Rs.11.50 c) Rs. 12.5 d) Rs. 15 , e) Rs. 10.5
Last Answer : d) Rs. 15 ,
Description : When the numerator and denominator have 1 as a common factor?
Last Answer : The fraction is in its simplest form.
Description : A transfer function has a second order denominator and constant gain in the numerator
Last Answer : A transfer function has a second order denominator and constant gain in the numerator the system has two zeros at infinity
Description : The population of city S increased from 650,000 in 2000 to 700,000 in 2010, and it is projected that the population will increase by the same number from 2010 to 2020. Approximately what is the projected percent increase in population from 2010 to 2020 ? a) 7.1% b) 7.7% c) 8.3% d) 14.3% e) 15.3%
Last Answer : Required percentage = (750000 - 700000)/700000 * 100 = 7.14% Answer: a)
Description : If the length of a rice field is increased by 20% and the breadth is reduced by 20%, the area of the field will be 192 sq. m. What is the area of the original field? (a) 184 sq. m. (b) 196 sq. m. (c) 204 sq. m. (d) 225 sq. m. (e) None of these
Last Answer : (e) None of these
Description : Mr. Xavier invested a certain amount in Debit and Equity funds in the ratio of 4 : 5 respectively. At the end of one year, he earned a total dividend of 30% on his investment. After one year he reinvested the amount including ... . 81,000/- (c) Rs. 60,000/- (d) Rs. 65,000/- (e) None of these
Last Answer : (a) Rs. 75,000/-
Description : The shares of A, B and C are in the ratio 4 : 5 : 8. If each of the shares is increased by 75%, 20% and 25% respectively, what will be the ratio of their new shares? 1 : 5 : 3 : 5 2 : 7 : 6 : 9 3 : 7 : 6 : 10 4 : 5 : 6 : 10 5 : None of these
Last Answer : 3 : 7 : 6 : 10
Description : There were 35 students in a hostel. If the number of students increase by 7, the expenses of the mess increase by Rs 42 per day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess? A.450 B.420 C.430 D.410 E.None of these
Last Answer : Answer - B (420) Explanation - Suppose the average expenditure was Rs a. Then total expenditure = 35a When 7 more students join the mess, total expenditure = 35a + 42 Now, the average expenditure= (35a+42) / (35 + 7) ... 42 =(a - 1) or, 35a + 42 = 42a - 42 7a = 84 a = 12
Description : Find the number which when multiplied by 13 is increased by 180: 1. 20 2. 15 3. 12 4. 5 5. 14
Last Answer : Answer- 2 (15) Explanation:- let no. be X X *13= X+180 !2x=180 x=15
Description : If the Kinetic Energy of a body is increased by 300%, how much will its momentum increase? -Do You Know?
Last Answer : answer:
Description : If the Kinetic Energy of a body is increased by 300%, how much will its momentum increase?
Last Answer : 100%
Description : A man can row 15 km/hr in still water. It takes him twice as long to row upstream as to row downstream. Find the rate of stream? a) 5 km/hr b) 10 km/hr c) 7.5 km/hr d) 6 km/hr e) 8 km/hr
Last Answer : Let the man’s upstream speed be x km/hour and downstream speed will be 2x km/hour Speed in still water = 1/2 (2x + x) = 3x/2 km/hour 3x/2 = 15 X = 10 Hence, his downstream speed = 20km/hour Rate of stream = 1/2 (20-10) = 5km/hour Answer: a)
Description : Three pipes P, Q and R can fill a tank from empty to full in 40 minutes, 15 minutes, and 30 minutes respectively. When the tank is empty, all the three pipes are opened. P, Q and R discharge chemical solutions X, Y and Z respectively. ... 5 minutes? a) 8 / 15 b) 7 / 15 c) 8 / 17 d) 6 / 13 e) 8 / 13
Last Answer : a Part of the tank filled by pipe P in 1 minute = 1 / 40 Part of the tank filled by pipe Q in 1 minute = 1 / 15 Part of the tank filled by pipe R in 1 minute = 1/ 30 Here we have to find the proportion of ... together in 5 minute = 5 1/8 = 5/ 8 Required proportion = (1/3) / ( 5/8) = 8 / 15
Description : A shopkeeper declares that he sells rice at the cost price. However he uses a weight of 425 grams. Instead of 500 grams, what is his percentage of profit? a) a) 16 5/6 b) 15 c) c) 20 7/23 d) 25 e) None of these
Last Answer : % profit = Loss/Actual Weight x 100 = 500 – 425/500 × 100 = 75/500 x 100 = 15% Answer: b)
Description : Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a) 10 b) 14 c) 12 d) 13 e) 15
Last Answer : (A+B+C) - (A+B) (A+B+C) =1/6 and (A+B+C) in 2hrs=2/6 and remaining part 1-2/6=2/3. So (A+B) in 7 hrs is 2/ (3*7) =2/21. 1/6-2/21=1/14 so answer is 14. Answer: b)
Description : 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days. a) 4 days b) 6 days c) 2 days d) 8 days e) 7 days
Last Answer : Let work done by 1 man in 1 day = m and work done by 1 woman in 1 day = b Work done by 6 men and 8 women in 1 day = 1/10 => 6m + 8b = 1/10 => 60m + 80b = 1 --- (1) Work done by 26 men and 48 ... 1 day = 15/100 + 20/200 =1/4 => Time taken by 15 men and 20 women in doing the work = 4 days Answer: a)
Description : The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is: A.68 B.98 C.180 D.364 E.None of these
Last Answer : Answer – D (364) Explanation – L.C.M. of 6, 9, 15 and 18 is 90. Let required number be 90k + 4, which is multiple of 7. Least value of k for which (90k + 4) is divisible by 7 is k = 4. Required number = (90 x 4) + 4 = 364.
Description : The average age of a family of 6 members is 22 years. If the age of the youngest member be 7 years, then what was the average age of the family at the birth of the youngest member? A.15 B.18 C.28 D.24 E.None of these
Last Answer : Answer – B (18) Explanation – Total age of all members = 6 x 22 = 132 years 7 years ago, total sum of ages = 132 – (6 x 7) = 90 years But at that time there were 5 members in the family Average at that time = 90 /5 = 18 years
Description : A person’s age is 150% of what it was 15 years ago, but 76% of what it will be after 15years. What is his present age? A) 39.7 B) 45.8 C) 42.8 D) 37.8
Last Answer : B) let the present age be X yrs then 150% of (X-15)=X; and 76 % of (x+15)= X 150% of (X-15)=76% of(X+15) 3/2(X-15)=19/25(X+15) X=45.8yrs
Description : Which of the following statements describes what will occur if the motor shown in the illustration is required to carry 150% of full load? EL-0056 A. The primary counter emf will be increased. B. ... slip will decrease. D. The slip value, stator current curve, and torque curve will all coincide.
Last Answer : Answer: B
Description : Ajay reads at an average rate of 30 pages per hour, while Vikram reads at an average rate of 40 pages per hour. If Ajay starts reading a novel at 4:30 PM and Vikram begins reading an identical copy of the same book at 5:20 PM, at ... same page? a) 7:50 PM b) 8:15 PM c) 8:40 PM d) 9:00 PM e) 9:25 PM
Last Answer : Ajay reads at average rate of 30 pages per hour ie. 1 page in every two minutes. Therefore, by 5:20 PM, he would have covered 25 pages By 6:20 PM, Ajay would have read 25+30 pages and Vikram would have ... and he will also finish 100 pages Hence, both of them will be on same page at 7:50 Answer: a)
Description : 3 7.5 15 37.5 75 167.5 375 a) 167.5 b) 75 c) 37.5 d) 15 e) 7.5
Last Answer : The series is ×2.5, ×2 alternately Answer: a)
Description : If the compound interest accrued on an amount of Rs.15,000/- in two years is Rs.2,496/-.What is the rate of interest p.c.p.a.? a) 8 b) 12 c) 7.5 d) Cannot be determined e) None of these
Last Answer : Let the rate of interest p.c.p.a. be x. 2496 =15000 * x /100 x = 16.64 16.64 is the rate of interest compounded for two year & for one year = 8% 8% C.I. table for two year. I year = 8% II year = 8.64 Total =16.64% Answer: a)
Description : Rubesh generally takes 80 minutes to reach home from office. Due to rain, he travelled at 2/3rd of his usual speed for the 1st half of the distance. At what speed should rubesh travel the remaining distance ... c) 2.5 times the original speed d) 3 times the original speed e) Cannot reach on time
Last Answer : Under the normal speed, 40 minutes for half the distance Due to rain, time taken will be 40 / (2/3) = 40 × (3/2) = 60 minutes So, in 20 minutes he has to cover the distance he usually covers in 40 minutes. So, he has to travel at twice the original speed. Answer: b)
Description : In a class there are 15 boys and 10 girls. Three students are selected at random. The difference between the probability that 2 boys and 1 girl are selected compared to 1 boy and 2 girls are selected is: a) 23/78 b) 19/88 c) 15/92 d) 4/23 e) 7/46
Last Answer : 2 boys, 1 gi(Prl = (15c2×10c1) / 25c3 = 1050/2300 1 boy, 2 girls = (15c1×10c2) / 25c3 = 675/2300 Difference = (1050 - 675)/2300 = 375/2300 = 15/92 Answer: c)
Description : 75%of a number is equal to four-fifth of another number. What is the ratio between first number and the second number? a) 4:3 b) 30:32 c) 7:9 d) 16:15 e) None of these
Last Answer : Let the two number be x & y. According to question, 75/100 x : 4/5 y 3/4 x : 4/5 y 15x = 16y x /y = 16/15 Answer: d)
Description : A and B walk around a circular track. They start at 8 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.? A.15 B.8 C.7 D.10 E.None of these
Last Answer : Answer – C (7) Explanation – Relative speed = (2 + 3) = 5 rounds per hourSo, they cross each other 5 times in an hour and 2 times in half an hourHence, they cross each other 7 times before 9.30 a.m.
Description : If the positions of the digits of a two digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1 : 2, what is the original number ? a) 25 b) 81 c) 36 d) Cannot be determined e) None of these
Last Answer : Cannot be determined Answer: d)
Description : The owner of a TV shop charges his customer 20% more than the CP. If a customer paid Rs. 10800 for a TV, then find its original price? (a) Rs. 9300 (b) Rs. 8600 (c) Rs. 9800 (d) Rs. 7600 (e) None of the above
Last Answer : (e) None of the above
Description : A man drives from his house to the station. If he drives at the rate of 10 kms per hour, he reaches the station at 6 pm. if he drives at 15 kms per hour, he would reach the station at 4 pm. At what speed, in kms ... he drives so as to reach the station at 5 pm? a) 12 b) 12.33 c) 5√5 d) 12.5 e) 13
Last Answer : Let x' be the distance between house and station. Time taken to travel a distance of x at the speed of 10km/hr, T1 = x/10 hours Time taken to travel a distance of x at the speed of 15km/hr, T2 = x/15 hours we ... the station at 5 pm, speed = 60/5 = 12 km/hr [12 pm - 5pm, time = 5 hours] Answer: a)
Description : Sush was thrice as old as Poonam 6 years back. Sush will be 5/3 times as old as Poonam 6 years hence. How old is Poonam today? A.20 B.14 C.12 D.15 E.None of these
Last Answer : Answer – C (12) Explanation – Let Poonam age 6 years back = x. Then, Sush age 6 years back = 3x. (5/3) * (X + 6 + 6) = (3X + 6 + 6) So 5(x+ 12) = 3(3x+ 12), so x=6. Poonam Age = (x+ 6) years = 12 years
Description : Which fraction has a larger numerator one quarter or three quarters?
Last Answer : 3 quarters ; numerator is number on top of the fraction.
Description : Whats The fraction has a numerator between 20 and 30?
Last Answer : The numerator is the top number in a fraction. For example, 7 would be our numerator in the fraction 7/8. The denominator is the bottom number in a fraction. For example, 8 would be our denominator in the fraction 7/8.
Description : A, B and C rent a land. A puts 10 tractors for 7 months, B puts 12 tractors for 5 months and C puts 15 tractors for 3 months . If the rent of the land is Rs. 175000, how much must C pay as his share of rent? A.45000 B.50000 C.57000 D.64000
Last Answer : Answer – A (45000) Explanation – A : B : C = 10 x 7 : 12 x 5 : 15 x 3 = 70 : 60 : 45 = 14 : 12 : 9. ∴ C’s rent = Rs. [175000 x 9/35] = Rs. 45000.
Description : The sum of twice the square of a number and 7 times the number equals 15. What is the number? 1.1/2 2.3/4 3.3/2 4.5/3
Last Answer : Answer-3 (3/2) Explanation:-2x^2 + 7x = 15 2x^2 + 7x – 15 = 0 2x^2 + 10x-3x – 15 = 0 2x(x+5)-3(x+5) = 0 (x+5)(2x-3) = 0 x = -5 or x = 3/2