Mix Test

Result

Mix Test - 2

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Weekly Quiz Competition

Question 1
1 / -0.25

If the square of a natural number is subtracted from its cube it becomes 100. The number is ________.

A
5

B
3

C
1

D
2

Solution

x³ - x² = 100
x³ - x² - 100 = 0
x³ - 5x² + 4x² - 100 = 0
x²(x - 5) + 4(x²- 25) =0
x² (x -5) + 4( x+5 ) ( x -5 ) =0
(x - 5)[x² +4 (x+5)] = 0
(-5)(x² + 4x + 20) = 0
x - 5 = 0
x = 5
Question 2
1 / -0.25

If 3/4 of the difference of and is subtracted from 2/3 of the result is

A
-48/83

B
83/48

C
-83/48

D
48/83

Solution
Question 3
1 / -0.25

A trader's terms are 20% discount for cash payment and interest is charged after one year. What rate of interest per annum does the customer got on his money for cash payment :

A
30%

B
25%

C
15%

D
20%

Solution

Let amount of Bill = Rs. 100
Discount for cash payment = 20% = Rs. 20
∴ Cash price = Rs. 100 - Rs. 20 = Rs. 80
i.e., Rs. 20 is interest earned on Rs. 80 for one year.
Question 4
1 / -0.25

The mother wants to divide ₹ 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If the age of Shreya is 15 years and the age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.

A
Shreya = ₹ 20, Bhoomika = ₹ 16

B
Shreya = ₹ 36, Bhoomika = ₹40

C
Shreya = ₹ 40, Bhoomika = ₹36

D
Shreya = ₹ 16, Bhoomika = ₹ 20

Solution

Given, age of shreya : age of bhoomika

= 15: 12

= total part 15+12=27
Question 5
1 / -0.25

Which of the following is the largest fraction?

A
5/20

B
3/15

C
8/64

D
25/1000

Solution
Question 6
1 / -0.25

Fill in the blank: 35:42 = ___:6

A
7

B
9

C
3

D
5

Solution

35 : 42 = x : 6

5 = x
Question 7
1 / -0.25

The Price of a house was Rs 34,00,000 last year. It has increased by 20% this year. What is the Price now?

A
Rs 40,40,000

B
Rs 40,80,000

C
Rs 30,40,000

D
Rs 30,80,000

Solution

Price of the house = Rs 34,00,000

Increased Price = 20/100 × 34,00,000

= Rs 6,80,000

Current Price (Price Now) = Rs (34,00,000 + 6,80,000)

= Rs 40,80,000
Question 8
1 / -0.25

The ratio between two numbers is 3 : 4 and the sum of their squares is 625. The numbers are:

A
18 and 24

B
6 and 8

C
15 and 20

D
20 and 25

Solution

Ratio is 3 : 4 Sum of the squares of 3 and 4 is 9 + 16 = 25. If sum of the squares is 25, the squares of numbers are 9 and 16.
If sum of the squares is 625, the squares of numbers are 9/25 × 625 and 16/25 × 625, i.e., 225 and 400.
Hence, the numbers are √225 and √400,i.e., 15 and 20.
Question 9
1 / -0.25

The list price of a skirt is Rs 600. A discount of 15% is announced on sales. What is the amount of discount on it?

A
Rs 60

B
Rs 30

C
None of these

D
Rs 90

Solution

The list price of skirt = Rs 600

Discount (15%) = 600×15/100

= Rs 90
Question 10
1 / -0.25

If 8% VAT is included in the prices, find the original price of a TV bought for Rs 13,500.

A
Rs 12,500

B
Rs 12,000

C
None of these

D
Rs 14,000

Solution

let the price before VAT = Rs 100

VAT = 8%

Price after VAT = 100 + 8

= Rs 108

If the price after VAT is Rs 108 then price before VAT is = Rs 100

If the price after VAT is Rs 13,500 then price before VAT is = 100/108 × 13500

= Rs 12,500