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ØP + 1 ÷ p = 5, then p3 + 1 ÷ p3?

P + 1 ÷ p = R, p3 + 1 / p3 = R3-3R = 53-3 * 5 = 125-15 = 110

P + 1 ÷ p = R, p3 + 1 / p3 = R3-3R = 53-3 * 5 = 125-15 = 110

ØWhat are the outputs of a4 + 4?

A) (a2 + 2a + 2) (a2 + 2a-2)                  b) (a2 + 2a + 2) (a2-2a-2)                                                         c) (a2-2a + 2) (a2 + 2a-2)                      d) (a2-2a-2) (a2-2a + 2)

Ans: - b
Ø The average age of 20 boys and 15 girls is 15 years. If the average age of boys is 15.5 years, what is the average age of girls?

20 boys and 15 girls = 35 years of age 35 * 15 = 525 years

         "Age = 20 * 15.5 = 310"


15 young girls age = 215 "

The average age of 15 girls is = 215 ÷15 = 14.333333333 or 14.4

20 boys and 15 girls = 35 years of age 35 * 15 = 525 years

         "Age = 20 * 15.5 = 310"


15 young girls age = 215 "

The average age of 15 girls is = 215 ÷15 = 14.333333333 or 14.4

ØThe mathematical average of 6,8,10 is equal to 7,9, and what is the mathematical average of any number?

7 + 9 = 16, 16 ÷2 = 8

ØIf the rate of 5 percent of the profits in the 20 years, 50,000 rupees in capital, what is the capital?

(Profit capital * 100) ÷ (100+ rate * years) = (50,000 * 100) ÷ (100 + 5 * 2) = (5,000,000) ÷ (100 + 100) = 25,000

 One person bought a product at 1200 rupees and sold for 15% profit. The buyer sells the goods to a third person for a loss of 5%. How much is the last sale price?

(Profit% ÷ 100) (loss% ÷ 100) * T = (115 ÷ 100) (95 ÷ 100) * 1200 = 1311

Ø  

ØIf the oil price increases by 25%, then how much oil consumption will be less, the cost of oil will not increase?

(Percentage increase ÷ increased value) * 100 = 25 ÷ 125 * 100 = 20%

Ø       The ratio of a sphere to the volume 8:27 What is the ratio of their area?

A) 4: 9         b) 2: 3             c) 4: 5               d) 5: 6
    ANS: - A) 4: 9

Ø
A gold ornaments weighing about 16 grams. The ratio of gold and copper to 3: 1 What is the ratio of the amount of gold to be 4: 1?

  Addition of proportion = 3 + 1 = 4, gold = {16 * (3 ÷ 4)} = 12 grams, copper = {16 * (1 ÷ 4)} = 4 grams

(12 + a) * 1 = 4 * 4 or, 12+ C = 16 or, C = 16-12 = 4

ØTwo people can do one work together in 8 days. The first person can do solo work in 12 days. How many days can the second person do solo work?

Second person = (together work * solo work) ÷ (work together - a job) = (8 * 12) ÷ (12-8) = 24



Ø How many numbers are there from 1 to 31?

2,3,5,9,11,13,17,19,23,29,31 = total 11

Ø 1 + 2 + 3 + 4 + ......... + 99 =?

(Last ÷2) (last +1) = 4950

Ø What is the field of feudalism?

A) 2 (length * width) b) Length * width c) Land * height d) 12 (land * height)

ans: - c) Land * height
Ø What is true if AB intersects both AB and CD in the ABD circle at the P point of each other?

A) PC = PD b) PB = PD c) PB = PA d) PB = PA

     Ans: - b) PB = PD


Ø 0.20.04,0.008,0.0016 What is the next number of the series?

0.2 * 0.04 = 0.008, 0.2 * 0.008 = 0.0016, 0.2 * 0.0016 = 0.00032

Ø 1,2,3,5,8,13,21,34, ... What is the next number of the series?

1 + 1 = 2, 1 + 2 = 3, 3 + 2 = 5, 5 + 3 = 8, ..... 34 + 21 = 55



Ø Three machines can perform an operation at 4,5,6 hours per hour respectively. The first two machines work together in the highest power, how much can work in an hour?

A) 11/30 b) 9/220 c) 3/5 d) 11/15 ANS: - b) 9/20



Ø 60 people can do any work in 18 days. How many days can 36 people do that work?

60____18

1 _____18 × 60

36_____ 18 * 60/36 = 30 days

Ø √p: √z k p: What is the z?

A) Degraded ratio b) Mixed ratio c) Trigger ratio d) Equation

      ANS: - a) Bifrofinance ratio

What is the value of xy if x + y = 12 and x-y = 2?

Xy = {(x + y) 2/4} - {(x-y) 2} = {(12) 2/4} - {(2) 2/4} = 35