➤ (3p2qr3)*(-4p3qr2)*(7pq3r) is equal to:
- 84p6q6r6
- 84p6q5r5
- -84p6q6r6
- -84p6q5r5
Explanation: Multiply the terms and combine the exponents of like bases. The result is -84p6q5r5.
➤ 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)πd3
- (23/4)πd3
- (32/3)πd3
- (34/3)πd3
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.
➤ 20*30*40*=?
- 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 cm3) of the cylinder is: (take pi=22/7).
- 770
- 1155
- 1540
- 2310
Explanation: Use the formula for the volume of a cylinder: V = πr2h. 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 cm2
- 1386 cm
- 1486 cm2
- 1320 cm2
Explanation: Use the circumference to find the radius and then use the formula for the area of a circle: A = πr2.
➤ 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.
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