Simplification - Aptitude Questions and Answers | Online Simplification MCQ Aptitude Test
Quiz Name
Simplification
Category
Online Aptitude Test
Number of Questions
15
Time
30 Minutes
Exam Type
MCQ (Multiple Choice Questions)
1. A man has Rs.480 in one-rupee notes, five-rupee notes, and ten-rupee notes in his possession. Each denomination has the same number of notes. How many banknotes does he have in total?
a. 45
b.60
c. 75
d. 90
Answer: D
Explanation:
Let x be the number of notes in each denomination.After that, x + 5x + 10x = 480.480 divided by 16,x equals 30.As a result, the total number of notes is 3x = 90.
2. Exam rooms A and B are located on the same floor. The number of pupils in each room is the same if 10 students are sent from A to B. If 20 candidates are transferred from B to A, the number of students in A is double that of B. Room A has the following number of students:
a. 20
b. 80
c. 100
d. 200
Answer: C
Explanation:
Let x and y represent the number of students in rooms A and B, respectively.Then x - 10 Equals y + 10 x - y = 20 x - y = 20 x - y = 20 x - y = 20 x - y = 20 (i),x + 20 = 2(y - 20) x - 2y = -60, and x + 20 = 2(y - 20) x - 2y = -60.... (ii),We get x = 100 and y = 80 when we solve I and (ii).A = 100 is the required response.
3. The cost of ten seats is the same as the cost of four tables. The total cost of 15 seats and 2 tables is Rs. 4000. The total cost of twelve seats and three tables is:
a. Rs. 3500
b. Rs. 3750
c. Rs. 3840
d. Rs. 3900
Answer: D
Explanation:
Let's say the price of a chair is Rs. x and the price of a table is Rs. y.Then 10x = 4y or y = 5 x is the answer.4000 = 2 15x + 2y,4000 = 15x + 2 x 5/2 x,4000 x 20.x equals 200.As a result, y = 5/2 x 200 = 500.As a result, the price of 12 seats and 3 tables equals 12x + 3y = (2400 + 1500) rupees= 3900 rupees.
4. Find the value of ab if a - b = 3 and a2 + b2 = 29.
a. 10
b. 12
c. 15
d. 18
Answer: A
Explanation:
(a2 + b2) - (a - b)2 = 2ab= 29 minus 9 equals 20,ab = ten
5.Two sarees and four shirts cost Rs. 1600. One saree and six shirts can be purchased for the same amount of money. How much will it cost to purchase 12 shirts?
a. Rs. 1200
b. Rs. 2400
c. Rs. 4800
d. Cannot be determined
Answer: B
Explanation:
Assume that a saree and a shirt are priced at Rs. x and Rs. y, respectively.
Then 2x + 4y = 1600 I and x + 6y = 1600 (ii) (ii)We derive the following equation by multiplying equation I by two.=> 800 = x + 2y. —- (iii)Subtract (iii) from (ii) to get x + 6y = 1600 (-) x + 2y = 800.
————————
4 years = 800
———————As a result, y = 200.Now apply the y value from (iii): x + 2 x 200 = 800 => x + 400 = 800.As a result, x = 400,We get x = 400 and y = 200 by solving I and (ii).12 shirts cost Rs. (12 x 200)=Rs2400
6. A, B, and C have been split a sum of Rs. 1360 in such a way that A receives half of what B gets and B gets half of what C gets. B's share is as follows:
a. Rs. 120
b. Rs. 160
c. Rs. 240
d. Rs. 300
Answer: C
Explanation:
Let's say C's share is Rs. x.Then B's portion is equal to Rs. x/4, while A's share is equal to Rs. 2/3 X x/4 = Rs.x/6.1360 = x/6 + x/4 + x,1360 = 17x/12,960 rupees = x = 1360 x 12/17.As a result, B's portion equals Rs. 960 /4 = Rs. 240.
7. One-third of Rahul's National Savings Certificate investments is equal to one-half of his PPF savings. How much has he saved in the Public Provident Fund if his entire savings are Rs. 1,50,000?
a. Rs. 30,000
b. Rs. 50,000
c. Rs. 60,000
d. Rs. 90,000
Answer: C
Explanation:
Allow for Rs. x in N.S.C. and Rs. (150000 - x) in P.P.F. savings, respectively. Then,1/2 Equals 1/3 x (150000 - x),75000 = x/3 + x/2,75000 = 5x/6,75000 x 6/5 = 90000 .Public Provident Fund (PPF) savings = Rs. (150000 - 90000) = Rs. 60000.
8. A shoots 5 shots versus B's 3, but A only kills once every three shots, whilst B kills once every two shots. A has killed when B has missed 27 times:
a. 30 birds
b. 60 birds
c. 72 birds
d. 90 birds
Answer: A
Explanation:
Let's say there are x total shots. Then,A fires 5/8 x 8 shots, whereas B fires 3/8 x 8 shots.
A = 1/3 of 5/8 x = 5/24 x Killing shots,B's missed shots = 1/2 of 3/8 x = 3/16 x,x = 27 x 16/3 = 144, or x = 27 x 16/3 = 144.A =5x/24=5/24 x 144 = 30 birds killed.
9. A group of eight persons intends to split the cost of a rental automobile evenly. If one person withdraws from the agreement and the rest share equally in the car's cost, each remaining person's portion increases by:
a.1/7
b. 1/8
c. 1/9
d. 7/8
Answer: A
Explanation:
1/8 of one person's original share,1/7 of a person's new share,1/7 - 1/8 = 1/56 Increase
(1/56)/(1/8) = 1/56 x 8/1 = 1/7 required fraction.
10. It takes 25 buckets of water to fill a tank. How many buckets of water will it take to fill the same tank if the bucket's capacity is decreased to one-fifth of its current capacity?
a. 10
b. 35
c. 62.5
d. Cannot be determined
Answer: C
Explanation:
Let 1 bucket's capacity be x.The tank's capacity then becomes 25x.2/5 x 2/5 x 2/5 x 2/5 x 2/5 x 2/5 x 2,Number of buckets required = 25x/(2x/5)= 125/2 = 25x X 5/2x=62.5 %
11. In a typical week, there are five working days with an average of eight working hours each day. For normal labour, a man is paid Rs. 2.40 per hour, and for overtime, he is paid Rs. 3.20 per hour. How many hours does he labour for if he earns Rs. 432 in four weeks?
a. 160
b. 175
c. 180
d. 195
Answer: B
Explanation:
Assume the man works x hours of overtime.Now, the total number of hours worked in four weeks is (5 x 8 x 4) = 160.432 = 160 x 2.40 + x x 3.20,432 − 384 = 48 = 3.20x.x equals 15.As a result, total labour hours = (160 + 15) = 175.
12. Children in a class were given free notebooks in equal numbers. Each youngster received one-eighth of the total number of notebooks available. Each child would have received 16 notebooks if the number of youngsters had been cut in half. How many laptops were supplied in total?
a.256
b. 432
c. 512
d. 640
Answer: C
Explanation:
Let x be the total number of children.After that, x x 1/8 x = x/2 x 16 x = 64.The number of notebooks is equal to 1/8 x 2 = 1/8 x 64 x 64 = 512.
13. A man has a few of chickens and cows. The number of hens will be: if the number of heads is 48 and the number of feet is 140, the number of hens will be:
a. 22
b. 23
c. 24
d. 26
Answer: D
Explanation:
Let x be the number of hens and y be the number of cows.As a result, x + y = 48.... (i)
2x + 4y = 140, x + 2y = 70, etc... (ii),We obtain x = 26, y = 22 when we solve I and (ii).The correct answer is 26.
14. - - - - - - - - - - - - (469 - 174) 2 =? (469 x 174)
a. 2
b. 4
c. 295
d. 643
Answer: B
Explanation:
If exp. = (a + b)2 - (a - b)2/ab is true,= 4ab/ab= 4 (in which a = 469 and b = 174.)
15. David boards an elevator on the 11th level of a skyscraper and speeds up to 57 floors per minute. Albert, on the other hand, boards an elevator on the 51st level of the same building and descends at a speed of 63 floors per minute. Which floor will their paths intersect if they continue to move at this rate?
a. 19
b. 28
c. 30
d. 37
Answer: C
Explanation:
Let's say their paths intersect in x minutes.After that, 11 + 57x = 51 - 63x 120x = 40,1/3 = x,Number of floors David covered in (1/3) minutes = 1/3 x 57 = 19.As a result, their trajectories meet at (11 + 19), which is the 30th floor.
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