Question 1 1 / -0
Find the value of MCMLXXI + MCXCI.
Solution
Value of MCMLXXI = 1971 and of MCXCI = 1191 So, MCMLXXI + MCXCI = 1971 + 1191 = 3162 3162 = MMMCLXII Hence, option (4) is correct.
Question 2 1 / -0
Quart is a unit used for measuring the capacity of liquids. If a tank contains 670 gallons of liquid, then which of the following expressions would describe the quantity of the liquid in quarts? (1 gallon = 4 quarts)
Solution
1 gallon = 4 quarts So, 670 gallons = 4 x 670 quarts Hence, option (2) is correct.
Question 3 1 / -0
Directions: Read the given statements carefully and choose the correct option.Statement-1: If 17 employees of a company donate Rs. 768 each, then the company collects Rs. 13,054. Statement-2: If 23 trucks contain 15755 litres of liquid in total, then each truck contains 685 litres of the liquid.
Solution
Statement-1: If 17 employees of a company donated Rs. 768 each, then the company collects Rs. 13,054. But, 17 × 768 = Rs. 13,056 So, Statement-1 is false. Statement-2: If 23 trucks contain 15755 litres of liquid, then each truck contains 685 litres of the liquid. 15755 ÷ 23 = 685 So, Statement-2 is true. Hence, option (3) is correct.
Question 4 1 / -0
Which of the following is false ?
Solution
4533 × 100 = 453300 But, in option 2 the given value is 45330. Hence, expression in option (2) is false.
Question 5 1 / -0
Which of the following options makes the given expression true? (732893 - 134282) _____ (789122 - 253783)
Solution
732893 - 134282 _____ 789122 - 253783 598611 > 535339 Hence, option (3) is correct.
Question 6 1 / -0
A truck was carrying 67289 litres of water from location A to location B. Due to leakage in the truck's container, 9274 litres of water got leaked. How much water is left in the truck now?
Solution
Total amount of water = 67289 litres Amount of water leaked = 9274 litres Amount of water left = 67289 - 9274 = 58015 litres Hence, option (1) is correct.
Question 7 1 / -0
What number will come in the 'Start' box?
Solution
Let the value of 'Start' box be a. Then, a ÷ 333 + 156 = 261 a ÷ 333 = 261 - 156 a x (1/333) = 105 a = 105 x 333 a = 34965 So, the value in Start box will be 34965.
Question 8 1 / -0
There were 4500 tiles. 676 tiles were placed in room A. Rest of the tiles were placed equally in rooms B and C. How many tiles were placed in room C?
Solution
Total number of tiles = 4500 Number of tiles placed in room A = 676 Remaining number of tiles = 4500 - 676 = 3824 Since the remaining tiles were placed equally in rooms B and C, the number of tiles placed in room C will be half the remaining number of tiles. Number of tiles placed in room C = 3824 ÷ 2 = 1912 Hence, option (3) is correct.
Question 9 1 / -0
X is half the difference between 21st and 11th multiples of 17. What is the value of X?
Solution
X is half the difference between 21st and 11th multiples of 17. 21st multiple of 17 = 17 × 21 = 357 11th multiple of 17 = 17 × 11 = 187 Difference between 21st and 11th multiple of 17 = 357 - 187 = 170 X = 170 ÷ 2 = 85 Hence, option (1) is correct.
Question 10 1 / -0
Solution
Let
Then,
x - y = 25
x = 25 + y ---- (1)
x + x + y = 125
2x + y = 125
From equation (1),
2(25 + y) + y = 125
50 + 2y + y = 125
3y = 125 - 50
3y = 75
y = 25
So, the value of orange coloured fruit will be 25.
Hence, option (3) is correct.
Question 11 1 / -0
A number multiplied by 250 will give you the value of Y. However, adding Y and 580 gives 1580. Find the number.
Solution
According to the question, Y + 580 = 1580 Y = 1580 - 580 Y = 1000 Now, the required number = 1000 ÷ 250 = 4 Hence, option (1) is correct.
Question 12 1 / -0
Find the value of 18 x 4 + 50 - 16 ÷ 4.
Solution
18 x 4 + 50 - 16 ÷ 4 = ? We will solve this with BODMAS. 72 + 50 - 16 ÷ 4 = ? 72 + 50 - 4 = ? ? = 118 Hence, option (2) is correct.
Question 13 1 / -0
What is the highest common factor of 84 and 462?
Solution
According to the given factors, the HCF (Highest Common Factor) = 2 x 3 x 7 = 42
Hence, option (3) is correct.
Question 14 1 / -0
In Jackson's factory, 1372050 colourful marbles are packed in 90 boxes. If there are equal number of marbles in every box, then how many marbles are there in each box?
Solution
Total number of colourful marbles = 1372050 Total number of boxes = 90 Number of marbles in each box = 1372050 ÷ 90 = 15245 Hence, option (4) is correct.
Question 15 1 / -0
What is the least common multiple of 14, 84 and 42?
Solution
The LCM of 14, 84 and 42 = 2 x 7 x 3 x 2 x 1
= 84
Hence, option (1) is correct.
Question 16 1 / -0
In a restaurant, there are 936 chairs with 156 tables. If there are equal number of chairs with all the tables, then how many chairs are there with each table?
Solution
Total number of chairs = 936 Total number of tables = 156 So, number of chairs with each table = 936 ÷ 156 = 6 Hence, option (1) is correct.
Question 17 1 / -0
What is the value when we add 123560 and 610632 and subtract 34125 from the sum?
Solution
123560 + 610632 = 734192 Subtract 34125 from 734192. 734192 - 34125 = 700067 Hence, option (2) is correct.
Question 18 1 / -0
Which of these could be solved by using the sentence 3x - 6 = 0?
Solution
Given statement is 3x - 6 = 0. The given number is x. Then, 3x - 6 = 0 3x = 6 So, we can say that 3 times the number x is equal to six.
Question 19 1 / -0
When 917496 is divided by 36, the quotient is
Solution
The given question can be solved by the following equation: Dividend ÷ Divisor = Quotient i.e 917496 ÷ 36 = 25486 Therefore, the quotient is 25486. Hence, option (3) is correct.
Question 20 1 / -0
In a factory, in year 2012, the number of breads produced are 143560. In year 2013, the number of breads produced are 144342 and in year 2014, the number of breads produced are 213567. What is the total number of breads produced in all these three years?
Solution
In year 2012, the number of breads produced = 143560 In year 2013, the number of breads produced = 144342 In year 2014, the number of breads produced = 213567 Total breads produced in all the years = 143560 + 144342 + 213567 = 501469
Question 21 1 / -0
In a stadium, there are 6489512 people and they like 3 different types of food - popcorn, fries and burgers. Out of these, 4516987 people like only popcorn, 1254896 people like only fries and the rest like only burgers. Find the total number of people who like only burgers.
Solution
Total number of people = 6489512 People who like popcorn and fries together = 4516987 + 1254896 = 5771883 Number of people who like only burgers = 6489512 - 5771883 = 717629
Question 22 1 / -0
In a shop, there are 26 packets of sweets and each packet contains 45 sweets. How many sweets are there altogether?
Solution
Total packets = 26 Sweets in each packet = 45 Total number of sweets = 26 x 45 = 1170
Question 23 1 / -0
In a tyre manufacturing company, out of 6573453 tyres produced, 4589654 tyres were left unsold. Find the tyres that were sold.
Solution
Total number of tyres = 6573453 Number of tyres left unsold = 4589654 Number of tyres sold = 6573453 - 4589654 = 1983799
Question 24 1 / -0
A baker has 16488 cookies in a big box. He needs to make small boxes such that each box has exactly 458 cookies. Find the number of boxes required.
Solution
Total number of cookies = 16488 Number of cookies in 1 small box = 458 Number of boxes required = 16488 ÷ 458 = 36
Question 25 1 / -0
In a city, there are 40 teachers in each school, there are 35 schools in each district and there are 32 districts in each city. Find the total number of teachers in the city.
Solution
Number of teachers in each school = 40 Number of teachers in 35 schools = 40 x 35 = 1400 Total number of teachers in city having 32 districts = 1400 x 32 = 44800 Option (4) is correct.
Question 26 1 / -0
Find out A - C + D - B.
Solution
From the figure, we can see that
A = 9
B = 1
C = 4
D = 6
A - C + D - B
= 9 - 4 + 6 - 1
= 10
Option (4) is correct.
Question 27 1 / -0
A total 34965 plastic sheets are there to cover chocolate bars, bubble gum bars and lollipops. Each box has 5 chocolate bars, 4 bubble gum bars and 2 lollipops. The number of plastic sheets used to cover them are given below: Chocolate bars = 25 Bubble gum bars = 42 Lollipops = 20 How many boxes can be prepared from given items?
Solution
Total number of plastic sheets used = 34965
Total number of sheets used for items in 1 box
= 25 x 5 + 42 x 4 + 20 x 2
= 125 + 168 + 40
= 333
Total number of boxes that can be prepared =
= 105
Option (3) is correct.
Question 28 1 / -0
Worker A can place 3000 tiles in a day and worker B can place 400 fewer tiles than worker A in a day. In each room, 250 tiles are placed. If both the workers work for 5 days straight, then how many rooms can be tiled by them?
Solution
Tiles placed by worker A = 3000
Tiles placed by worker B = 3000 - 400 = 2600
Total number of tiles placed = 3000 + 2600 = 5600
Tiles placed in 1 day = 5600
Tiles placed in 5 days = 5600 x 5 = 28000
Each room takes 250 tiles.
Total number of rooms that can be tiled =
= 112
Option (1) is correct.
Question 29 1 / -0
In an orphanage, on 3rd of August, there were 4500 toys for children. Some people came and they donated 17843 toys. On the next day, it was found that 15982 toys were broken and were thrown away. 35763 more toys were donated the next day by a nearby orphanage. Find the total number of toys in the orphanage at the end.
Solution
Number of toys in the beginning = 4500 Toys donated by people = 17843 Toys in the orphanage = 4500 + 17843 = 22343 Toys that were found broken = 15982 Number of toys left = 22343 - 15982 = 6361 Toys donated by nearby orphanage = 35763 Total number of toys at the end = 6361 + 35763 = 42124
Question 30 1 / -0
Directions: Complete the addition square by finding the missing numbers.
Find P - Q - S + R.
Solution
From the table, we have P = 45896 + 54896 = 100792 Q = 9845 + 1256 = 11101 R = 54896 + 1256 = 56152 S = 9845 + 45896 = 55741 So, P - Q - S + R = 100792 - 11101 - 55741 + 56152 = 90102