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Must Solve Q51 level GMAT Questions

In this live session, we will focus solving a few must solve GMAT quant questions - the likes you will see when you reach the Q51 level in the GMAT exam. Here are the questions: Q.1. How many four-digit positive integers exist that contain the block 25 and are divisible by 75. (2250 and 2025 are two such numbers)? A. 90 B. 63 C. 34 D. 87 E. 62 Q.2. Is |x| greater than x? Statement 1: x^2 + y^2 = 4 Statement 2: x^3 + y^2 = 0 A. Statement 1 ALONE is sufficient; statement 2 is not sufficient. B. Statement 2 ALONE is sufficient; statement 1 is not sufficient. C. Statements 1 & 2 TOGETHER are sufficient but are not sufficient independently. D. Each statement is INDEPENDENTLY sufficient. E. Statements together are NOT sufficient. Additional data is required. Q. 3. A movie hall sold tickets to one of its shows in two denominations, $11 and $7. A fourth of all those who bought a ticket also spent $4 each on refreshments at the movie hall. If the total collections from tickets and refreshments for the show was $124, how many $7 tickets were sold? Note: The number of $11 tickets sold is different from the number of $7 tickets sold. A. 14 B. 11 C. 2 D. 8 E. 5 Q. 4. Is the triangle ABC right angled at B isosceles? Statement 1: All 3 sides are integers Statement 2: The square of the hypotenuse is twice the product of the other two sides A. Statement 1 ALONE is sufficient; statement 2 is not sufficient. B. Statement 2 ALONE is sufficient; statement 1 is not sufficient. C. Statements 1 & 2 TOGETHER are sufficient but are not sufficient independently. D. Each statement is INDEPENDENTLY sufficient. E. Statements together are NOT sufficient. Additional data is required.