This practice GMAT test includes number system questions, which are part of the GMAT problem solving section.
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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?
A. $10,842
B. $9,646
C. $9,872
D. $9,360
E. $9,000
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?
A. (Q – R) + (P – R) is odd
B. (P – R) + Q is even
C. (P + R) Q is even
D. R(P + Q) is even
E. (Q – R) + (P – R) is even
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. 3,097
B. 341
C. 4,221
D. 1,483
E. 3,400
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. 42
B. 120
C. 60
D. 36
E. 80
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. The divisor is 31
B. The number can only be 50.
C. The number lies between 10 and 20.
D. Both (A) and (B).
E. Can’t Determine
A student on vacation for days observed the following:
Then is equal to:
A. 10
B. 12
C. 9
D. 15
E. Data insufficient
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.
A. 23
B. 55
C. 87
D. 47
E. 49
If is a prime number and is divisible by , then is:
A. 17
B. 2
C. 101
D. 23
E. More than one solution exists
Which of the following would always divide a six digit number of the form
A. 10001
B. 11111
C. 10101
D. 10111
E. None of these
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.
A. 300
B. 250
C. 200
D. 350
E. Cannot be determined
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