Mathematics (Paper-1) Mock Test - 3

Given: Speed = 65 km/hr

Distance = 325 km

Time = Distance / Speed = 325/65

Time = 5 hr

Arranging them in ascending means to start with lowest to highest one.

78960, 65489, 75234, 73120, 79844

65489 < 73120 < 75234 < 78960 < 79844

By doing calculations, we see that
59624 + 684788 = 744412
So, we should add
789542 - 744412 = 45130

Let the age of P be x.
Average age of M, N, O and P = 12.5
Sum of ages of M, N and O = 32
So, x + 32 / 4 = 12.5
x + 32 = 12.5 × 4
x = 50 - 32
x = 18 years

120035 × 20
= 120035 × (10 + 10)
= 1200350 + 1200350
= 2400700

Let the first number be x.
According to question,
(x+47) / 5 = 12
x + 47 = 12 × 5
x = 60 - 47 = 13

x = 450%, where x is the unknown number that we need to find.
x = 450/100
x = 4.5

Let the age of 4th student be x.
Average of 4 students = 9.5
Sum of ages of 3 students = 29
So, (x+29) / 4 = 9.5
x + 29 = 9.5 × 4
x = 38 - 29
x = 9 years

Let cost price of each watch be Rs. x.
For one watch, he had a profit.
So, SP - CP = Profit
1680 - x = Profit

For the other watch, he had a loss.
CP - SP = Loss
x - 1512 = Loss

Now, given that Profit = Loss

So, 1680 - x = x - 1512
2x = 3192
x = Rs. 1,596

According to BODMAS,

(8 × 8) + (8 ÷ 8) - 8

= 64 + 1 - 8

= 65 - 8 = 57

1 kg = 1000 g

50 kg = 50000 g

Percentage = 5/50000 × 100 = 0.01%

100105 × 15 = 100105 × (10 + 5) = 100105 × 10 + 100105 × 5

100105 × 10 = 1001050 and 100105 × 5 = 500525

100105 × 15 = 1001050 + 500525 = 1501575

Angles whose sum adds up to 90° are complementary.
So, 27° and 63° are complementary angles.

Leaving same remainder 7 means subtracting 7 from both the numbers will not leave any remainder.
So, we find HCF of 60 and 90, which is 30.
The highest number that divides 67 and 97, leaving 7 as remainder in each case is 30.

LCM of 3, 4 and 12 is 12.

So, 12 = 2 × 2 × 3 = 2² × 3¹

So, it means that if we multiply the number by 3, then it will make it a square number.

Thus, required number = 12 × 3 = 36

1 + 0.5 + 1/6 + 5/13

= 1 + 0.5 + 0.167 + 0.385

= 2.052

Speed of car = 54 km/hr = 54000/3600 m/s = 15 m/s

Given, Riya has (1/3)^rd sack of rice.
Riya divides it in 8 bags.
Thus, fraction of rice in each bag = 1/3 × 1/8 = 1/24
Thus, fraction of rice in each bag = 1/24

Side of the room = 18 m
Area of the room = 18 × 18= 324 m²
Now, cost of flooring = Rs. 3/m²
Therefore, total cost = Rs. 3 × 324 = Rs. 972

Sum of 24.09, 24.009, 24.099 and 24.999
= 24.090 + 24.009 + 24.099 + 24.999
= 97.197

Length of the square park = 115 m
Perimeter = 4 × 115 = 460 m
He ran 2 times = 2 × 460 = 920 m

1 m = 100 cm
97 cm = 0.97 m

Area of one square tile = (15 × 15) cm²
= 225 cm² = 0.0225 m²
Area of square floor = (6 × 6) m² = 36 m²
Number of tiles required = 36 ÷ 0.0225 = 1600

Area of tile = 12 × 12 = 144 cm²
Area of floor (in cm²) = 280 × 360 = 100800 cm²
Number of tiles = 100800/144 = 700

Let the required number be 'x'.
We know that the largest five digit number is 99999.
99999 + x = 118564
x = 118564 - 99999 = 18565

Side of the wall = 2100 cm = 21 m
Area of wall = Side × Side = 21 × 21 = 441 m²
Cost of painting 1 sq. m of the wall is Rs. 9.
Cost of painting 441 sq. m of the wall = Rs. 9 × 441 = Rs. 3,969

Leap year has 366 days.

So, 366 × 5/6 = 305 days

7, 1, 6, 2, 8, 0, 9, 4
We will arrange it in ascending order in order to get the smallest number.
01246789 will not be a 8 digit number.
So, the smallest number would be 10246789.

10:30 pm on Tuesday to 12 mid-night = 1 hour 30 minutes
From 12 mid-night to 5:30 am = 5 hours 30 minutes
Total duration of journey = 7 hours

Given number = 87549
According to question, the number will change as 84579.
Difference = 87549 - 84579 = 2970

Cost of TV = Rs. 12,000
Selling price = Rs. 8,000
Loss = 12,000 – 8,000 = Rs. 4,000
Loss percentage = 4000/12000 × 100
= 1/3 × 100 = 33.33%

Cost of refrigerator = Rs. 75,900
Cost of washing machine = Rs. 42,000
Total cost = Rs. 75,900 + Rs. 42,000 = Rs. 1,17,900
Selling price = Rs. 1,05,000
Loss = Cost price – Selling price
Loss = Rs. 1,17,900 – Rs. 1,05,000 = Rs. 12,900

Cost of a pack of 18 tennis balls = Rs. 360
Cost of 1 tennis ball = Rs. (360/18) = Rs. 20

Cost of a pack of 25 marbles = Rs. 125
Cost of 1 marble = Rs. (125/25) = Rs. 5

Cost of 5 tennis balls and 4 marbles
= 5 × 20 + 4 × 5 = 100 + 20 = Rs. 120

Number of cartons = 58
Number of boxes in a carton = 92
Number of toys in a box = 24
Total number of toys in the store = 58 × 92 × 24 = 1,28,064

Required number = 159689 - 8888 = 150801

L represents 50, X represents 10 and VIII represents 8.

⇒ LXVIII = 50 + 10 + 8 = 68

5 + 6 - 4 + 4 × 3 ÷ 1 × 61 - 5
= 5 + 6 - 4 + 4 × 3 × 61 - 5
= 5 + 6 - 4 + 732 - 5
= 734

For rounding off to the nearest hundred, we see that the digit at tens place is 7. It is greater than 5, so is rounded to 700.
So, rounding off 35,673 to nearest hundreds is 35,700.

Given, Aman deposited Rs. 800 in his bank account and the money increased by 4% every year.
Every year, the amount of money increased = 4% of Rs. 800 = (4/100) × 800 = Rs. 32
Then, after 5 years, the increase in money = Rs. 32 × 5 = Rs. 160
So, money in his bank account after 5 years = Rs. (800 + 160) = Rs. 960

This is the correct answer as all the digits of the number are in descending order. Hence, this is the greatest even number that can be formed using the given digits.

10/100 × 10/100 × 10 = 0.1