GMAT Number System

Bethany bought an unspecified number of chocolate boxes, each of which costs $371. The clerk at the counter incorrectly punches the cost as $731 while calculating the total. Bethany thereby had to shell out an additional $9,360. What was the actual value of the bill?

Let P, Q and R be distinct integers. P, R are odd and positive while Q is even and positive. Which of the following expressions cannot be true?

In a number system, the product of 53 and 22 is equal to 1,276. The number 4,221 of this system when converted to the decimal system will be

A blue light flashes four times per minute and an orange light flashes five times per minute at regular intervals. If both the lights start flashing at the same time, how many times do they flash together per hour?

A number when divided by a certain divisor leaves a remainder of 19; if twice the number is divided by the same divisor, then the remainder is 7. Then

A student on vacation for days observed the following:

• It rained on 7 days – morning or afternoon.
• When it rained in the afternoon, it was clear in the morning.
• There were 5 clear afternoons.
• There were 6 clear mornings.

Then is equal to:

A number when divided by a certain divisor left a remainder of 14 but when then the number was multiplied by 6 and then divided by the same divisor the remainder was 15. Find the divisor if it leaves a remainder of 7 when divided by 8.

If is a prime number and is divisible by , then is:

Which of the following would always divide a six digit number of the form

In a drought-affected village there are 500 adult residents. They planned to construct a dam to overcome the situation. Each of the men contributed a sum equal to the number of women in the village and each woman, a sum equal to the number of men. The local minister came to know about this and contributed an amount equal to the contribution of the villagers. The total contribution, then became $2.4 lakhs. Find the number of men in the village.