Q.3385·Miscellaneous·2022·EasyTwo glasses of equal volume are filled with a mixture of alcohol and water in the ratio 3: 2 and 4:1, respectively. These glasses are emptied into a third glass. What is the ratio of alcohol and water in the third glass ?View question
Q.3386·Miscellaneous·2022·EasyConsider the following statements: 1. x^4(y - z) + y^4(z - x) + z^4(x - y) is positive if x > y > z. 2. x^4(y - z) + y^4(z - x) + z^4(x - y) is negative if x < y < z. Which of the above statements is/are correct?View question
Q.3387·Miscellaneous·2022·EasyConsider the following statements: 1. (ab + bc + ca) is a factor of a^2(b-c)^3 + b^2(c - a)^3 + c^2(a -b)^3. 2. (a + b + c) is a factor of a^2(b - c)^3 + b2 (c - a)^3 + c^2(a-b)^3. Which of the statements given above is/are correct ?View question
Q.3388·Miscellaneous·2022·EasyIf three times the greater of two numbers is divided by the smaller number, the quotient will be 6 and the remainder will be 6. If five times the smaller number is divided by the greater number, the quotient will be 2 and the remainder will be 3. What is the difference between the numbers ?View question
Q.3389·Miscellaneous·2022·EasyIf the sum of the squares of the roots of the equation x2 - 14x + k = 0 is 100, then what is the value of k ?View question
Q.3390·Miscellaneous·2022·EasyWhat is the HCF of (x^8 - y^8) and (x^7 - y^7 + x^5y^2 - x^2y^5) ?View question
Q.3391·Miscellaneous·2022·EasyIf C is the compound interest on 10,000 for one year at 4% per annum when compounded quarterly, then which one of the following is correct ?View question
Q.3392·Miscellaneous·2022·EasyX takes 3 hours longer than Y to walk 30 km. If X doubles his speed, he takes 2 hours less than Y. What is the speed of Y ?View question
Q.3393·Miscellaneous·2022·EasyIf p is the difference between a number and its reciprocal and q is the difference between the square of the same number and the square of its reciprocal, then what is p^4 + 4p^2 equal to ?View question
Q.3394·Miscellaneous·2022·EasyA person X starts from a place A and another person Y starts simultaneously from another place B which is d km away from A. They walk in the same direction. X walks at an average speed of u km/hr and Y walks at an average speed of v km/hr. How far will X have walked before he overtakes Y ?View question
Q.3395·Miscellaneous·2022·EasyIf x = b + c, y = c + a, z = a + b, then what is (x+ y + z)^3 - 24xyz equal to ?View question
Q.3396·Miscellaneous·2022·EasyIn a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 100 km/hr and time of flight increased by 30 minutes. What was the original average speed of the aircraft ?View question
Q.3397·Miscellaneous·2022·EasyIf bc + cd = 2bd and a + c = 2b, then which one of the following is correct ?View question
Q.3398·Miscellaneous·2022·EasyConsider the question and two statements given below: Let x and y be two real numbers. Question: Is xy > 0 ? Statement-1: x^8y^9 < 0. Statement-2: x^9y^10 < 0. Which one of the following is correct in respect of the question and the statements ?View question
Q.3399·Miscellaneous·2022·EasyIf a = 3b, 4b = 5c, 6c = 7d, then what is d + a/d - a equal to ?View question
Q.3400·Miscellaneous·2022·EasyConsider the question and two statements given below: Question: Is (x^n + y^n) divisible by (x + y) ? Statement-1: n is a natural number. Statement-2: n is an even natural number. Which one of the following is correct in respect of the question and the statements ?View question
Q.3401·Miscellaneous·2022·EasyConsider the question and two statements given below : LCM of two numbers x and y is 481 where x > y. Question: What is the value of (3x - 2y) ? Statement-1: y > 1. Statement-2: HCF of x and y is 1. Which one of the following is correct in respect of the question and the statements ?View question
Q.3402·Miscellaneous·2022·EasyIf x = 2 + 2^1/2, then what is the value of x^4 + 16x^-4 ?View question