Two numbers are in Ratio 3: 4 if 12 is subtract from each. The new numbers are in the Ratio 5:7. If 13 is added to first and 23 is added to the second number, then the ratio become. a) 5: 7 b) 3: 5 c) 7: 9 d) 29: 27 Sol:

What is the greatest positive integer that divides 554, 714 and 213 leaving the remainder 43, 57 and 67, respectively? a)            70 b)            73 c)            77 d)            75 Sol: Given:  Integers 554, 714 and 213   Concept Used:  HCF = Highest Common Factor  Calculation:  ⇒ According to the question,  ⇒ If the integer leaves remainder 43, on

If a2+b2+1=2a, then the value of a4+b7 is: a) 0 b) 1 c) 2 d) 4 Sol:

In the given circle with diameter AB, find the value of X. a)            30 b)            60 c)            45 d)            50 Sol:

(232+1) is exactly divisible by a certain number, then which of the following is also divisible by the same number a) 296+1 b) 216+1 c) 216-1 d) 7 ×232 Sol: 2⁹⁶ + 1 = (2³²) + (1)³ = (2³² + 1) (2⁶⁴ + 1 + 2³²)

The highest common factor of 108, 72 and 5a is a. What can be the least common multiple of 108, 72 and a? a) 108 b) 216 c) 72 d) 36 Sol: Given:  HCF of 108, 72 and 5a = a  Calculation:  ⇒ 108 = 72 × 1 + 36  ⇒ 72 = 36 × 2 +

In a class there are ‘P’ students out of them ‘Q’ are boys what part of the class is composed by girls. Sol: Total students = P Boys = Q Girls = P – Q

Atul, Chiru and Amit enter in a partnership in Ratio ¾:4/5:6/7 of their capital. After 8 months Amit increases his share of capital by 25%. If at the end of the year the profit earned is 6940 Rs. Then the share of Atul in the profit is? a) 1610 b) 2100 c) 1820 d) 1920

A bowl contains a mixture of oil and water in the ratio of 8: 5. When 78 ml of mixture is taken out and 44 ml of water is added, the ratio of oil and water becomes 1: 2. How much quantity of oil paste does the bowl have initially? a)            80 ml b)            100

If the LCM of two numbers is 169 and their sum is 65, then find the HCF. a)            7 b)            13 c)            5 d)            15 Sol: HCF of two numbers will be always equal to the HCF of the sum of the numbers and the LCM.  HCF of 65 and 169 = 13