### ➤ (3p^{2}qr^{3})*(-4p^{3}qr^{2})*(7pq^{3}r) is equal to:

- 84p
^{6}q^{6}r^{6} - 84p
^{6}q^{5}r^{5} - -84p
^{6}q^{6}r^{6} **-84p**^{6}q^{5}r^{5}

*Explanation: Multiply the terms and combine the exponents of like bases. The result is -84p ^{6}q^{5}r^{5}.*

### ➤ Arjun is twice as old as Shreya. Five years ago his age was three times Shreya’s age. Find their present ages:

- 10 years, 12 years
- 5 years, 10 years
- 15 years, 30 years
**12 years, 24 years**

*Explanation: Let Shreya’s age be x. Then Arjun’s age is 2x. Five years ago, their ages were (x-5) and (2x-5). According to the problem, 2x-5 = 3(x-5). Solving this gives x = 12 and 2x = 24.*

### ➤ If the radius of a square is 2d/3, then its volume is:

**(32/81)πd**^{3}- (23/4)πd
^{3} - (32/3)πd
^{3} - (34/3)πd
^{3}

*Explanation: The radius of a square is related to the side length. Using the given radius, compute the volume by substituting the value into the volume formula for a square.*

### ➤ The value of (-1)^{1000} is:

- -1
**1**- 1000
- -1000

*Explanation: Any negative number raised to an even power results in a positive number. Thus, (-1) ^{1000} equals 1.*

### ➤ The compound interest on Rs. 1000 at 10% per annum for 2 years is:

- Rs. 1210
**Rs. 210**- Rs. 200
- Rs. 190

*Explanation: Use the compound interest formula A = P(1 + r/n) ^{nt} where P = 1000, r = 0.10, n = 1, and t = 2. The compound interest is Rs. 210.*

### ➤ Mohan purchased a car for Rs. 8000 and sold it after one year at a loss of 25%. Find the selling price of the car:

- Rs. 7000
**Rs. 6000**- Rs. 10000
- Rs. 9000

*Explanation: A 25% loss on Rs. 8000 means the selling price is 75% of Rs. 8000, which is Rs. 6000.*

### ➤ A train covers a distance of 3750 Km in 25 hours, how much average distance the same train will cover in one hour?

- 140 Km
- 175 Km
**150 Km**- 130 Km

*Explanation: Average speed is total distance divided by total time. Here, 3750 Km / 25 hours = 150 Km per hour.*

### ➤ 2^{0}*3^{0}*4^{0}*=?

**1**- 24
- 0
- None of these

*Explanation: Any non-zero number raised to the power of 0 is 1.*

### ➤ The sum of 0.42+0.042+0.0042-0.00042 is:

- 0.42424
**0.46578**- 0.42654
- 0.42528

*Explanation: Adding and subtracting the decimals gives a total of 0.46578.*

### ➤ L.C.M of 4, 6, 12, 15 = ?

- 180
**60**- 75
- 120

*Explanation: The least common multiple of the numbers is 60.*

### ➤ (3/4)^{7} *(4/3)^{7} =?

**1**- 0
- 14
- -1

*Explanation: Multiply the fractions with the same exponent, resulting in (3/4) ^{7} * (4/3)^{7} = 1.*

### ➤ Find the smallest square number which is exactly divisible by 4, 9, and 10:

**900**- 400
- 490
- 360

*Explanation: The smallest square number divisible by 4, 9, and 10 is 900.*

### ➤ If 567567567 is divided by 567, then the quotient will be:

- 111
- 10101
**1001001**- 301

*Explanation: Dividing 567567567 by 567 gives a quotient of 1001001.*

### ➤ Circumference of the base of a right circular cylinder is 44 cm and its height is 15 cm. The volume (in cm^{3}) of the cylinder is: (take pi=22/7).

- 770
- 1155
- 1540
**2310**

*Explanation: Use the formula for the volume of a cylinder: V = πr ^{2}h. Given circumference, find the radius and then calculate the volume.*

### ➤ If 56-45+ √x = 17, then x=?

**36**- 25
- 16
- 9

*Explanation: Solve the equation 56 – 45 + √x = 17 to find x = 36.*

### ➤ If the circumference of a circle is 132 cm. The area of the circle is:

**1386 cm**^{2}- 1386 cm
- 1486 cm
^{2} - 1320 cm
^{2}

*Explanation: Use the circumference to find the radius and then use the formula for the area of a circle: A = πr ^{2}.*

### ➤ If the sum of two consecutive even numbers is 66, then the smaller one is:

- 34
**32**- 42
- 24

*Explanation: Let the consecutive even numbers be x and x+2. Solving x + (x+2) = 66 gives x = 32.*

### ➤ Find the missing number in the series 2, 5, 11, 20, 32, 47, ____, 86.

- 60
**65**- 58
- 62

*Explanation: The pattern in the series suggests that the missing number is 65.*

### ➤ The population of a village is 5000 and it increases at the rate of 2% every year. After 2 years the population will be:

- 5108
- 5200
**5202**- 5300

*Explanation: Use the compound interest formula for population growth to find the population after 2 years.*

### ➤ If a train 240 m long passes a pole in 16 seconds, then the speed of the train is:

- 36 Km/h
**54 Km/h**- 60 Km/h
- 72 Km/h

*Explanation: Calculate the speed using the formula: Speed = Distance / Time. Convert meters per second to kilometers per hour.*

### ➤ A man got a 10% increase in his salary. If his new salary is Rs. 1,54,000, then the original salary is:

- Rs. 1,50,000
- Rs. 1,60,000
**Rs. 1,40,000**- Rs. 1,45,000

*Explanation: Use the percentage increase formula to find the original salary from the new salary.*

*Your search for this page are: HP Police Question Paper Pdf, HP High Court Clerk Previous Year Paper PDF. HP SET Previous Year Question Paper, HPAS Previous Year Question Papers, Himachal Pradesh Previous Exam etc.*