Mathematics Questions
Welcome to a quiz on a number of different subjects all under the umbrella of mathematics! In this one, we’ll be offering you a helpful quiz as used in online testing, in which we’ll check to see if your knowledge on numbers is up to scratch! Whether you need it for college or work, or you just want to broaden your knowledge on a relatively important subject, this quiz should satisfy your needs.
- 1.
Which of the following pairs have two numbers reciprocal to each other? (I) 1/31 and – 31 (II) SQRT2 and (SQRT2)/2 (III) 1/x and [(xy)1/2y]2
- A.
I & II
- B.
I, II & III
- C.
II & III
- D.
I Only
- E.
II Only
Correct Answer
C. II & IIIExplanation
Two numbers are reciprocal if their multiple is 1. (II) & (III) satisfy thisRate this question:
-
- 2.
If John were to add 4 gallons of water to a tank that is already 2/3 full of water, the tank would be 6/7 full. How many gallons of water would the tank hold if it were half full?
- A.
11.5
- B.
10.5
- C.
10
- D.
21
- E.
11
Correct Answer
B. 10.5Explanation
(6/7 – 2/3)x = 4, on solving x = 21 gallons. Half of this = 10.5Rate this question:
-
- 3.
Is (1/x) >1? (1) x <1 (2) x >1
- A.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
EACH statement ALONE is sufficient
- E.
Statements (1) and (2) TOGETHER are NOT sufficient
Correct Answer
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.Explanation
For (1) x may be +ve or – ve . When x is +ve and 1 but when x is – ve which is 1 then (1/x) is alwaysRate this question:
-
- 4.
Find the value of [(x2/ y2) Cubic Root(y3/x3 )] (1) x & y are integers (2) x & y are together either > 0 or <0
- A.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
- B.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
- C.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
- D.
EACH statement ALONE is sufficient
- E.
Statements (1) and (2) TOGETHER are NOT sufficient
Correct Answer
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientExplanation
After simplification we get x/y. If x +ve & y –ve then x/y = -ve & vice versa. But if both are either +ve or –ve then it will have only one value which will be +veRate this question:
-
- 5.
[{10 SQRT(10) + 5 SQRT(5)} {10 SQRT(10) – 5 SQRT(5)}] =
- A.
1125
- B.
875
- C.
75
- D.
125
- E.
775
Correct Answer
B. 875Explanation
Apply (a+b)(a-b) = a2 - b2Rate this question:
-
- 6.
68% of 781 - ?% of 289 = 389.47
- A.
39%
- B.
49%
- C.
43%
- D.
38%
- E.
51%
Correct Answer
B. 49%Explanation
68% of 781= 531.08 and 531.08 – 389.47= 141.61, which is 49% of 289Rate this question:
-
- 7.
A function f is defined for each positive four-digit integer m as f(m ) = 2x3y5z7w , where x, y, z and w are the thousands,hundreds, tens, and units digits of m, respectively. If n and p are four-digit positive integers such that f(n)=125f(p), them n-p=?
- A.
30
- B.
9
- C.
18
- D.
20
- E.
10
Correct Answer
A. 30Explanation
Let n=abcd and p=efgh, then f(n) = 2a3b5c7z and f(p) = 2e3f5g7h . Given f(n) = 125 f(p) or 53 f(p). So f(n) = 2a3b5c7z = 2e3f5g+37h . From this all digits of n are same as of p except tens digit ( c) which is 3 greater than that of p (g). So n-p=30Rate this question:
-
- 8.
What is the value of the ratio of a2 to b3 (1) the ratio of a3 to b is 2/7 (2) the ratio of b2 to 1 is 49/4
- A.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
- B.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
- C.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
- D.
EACH statement ALONE is sufficient
- E.
Statements (1) and (2) TOGETHER are NOT sufficient
Correct Answer
E. Statements (1) and (2) TOGETHER are NOT sufficientExplanation
As per (1), a3 /b = 2/7, from this a2 /b3 can be found. For (2), b2 /1 = 49/4. So b2 = 49/4, but b can be +ve or –ve 7/2. So it is also not sufficient. (1) & (2) combined also are not sufficientRate this question:
-
- 9.
Is one of the angles of quadrilateral PQRS equal to 120 degrees? (1) Two of the angles of PQRS namely angle P and angle R are right angles. (2) The degree measure of angle Q is twice the degree measure of angle S.
- A.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
- C.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
- D.
EACH statement ALONE is sufficient
- E.
Statements (1) and (2) TOGETHER are NOT sufficient
Correct Answer
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientExplanation
In (1), nothing is mentioned about two left out angles so there are 2 unknowns. In (2), again information is about two angles, so 2 unknown. But using (1) & (2), we can find that 2 angles are 90 and other are 60 & 120Rate this question:
-
- 10.
The product of three consecutive odd numbers is 35805. What is the smallest of three numbers?
- A.
31
- B.
41
- C.
43
- D.
33
- E.
37
Correct Answer
A. 31Explanation
The factors of 35805 are 3x5x7x11x31, so the nos. are 31, 33 & 35Rate this question:
-
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Feb 22, 2019Quiz Edited by
ProProfs Editorial Team -
Jun 21, 2010Quiz Created by
Paritoshshah
- Cartography Quizzes
- Civics Quizzes
- Economics Quizzes
- El112 Quizzes
- English Quizzes
- Geography Quizzes
- History Quizzes
- Humanities Quizzes
- Law Quizzes
- Linguistics Quizzes
- Logic Quizzes
- Philosophy Quizzes
- Political Science Quizzes
- Politics Quizzes
- Science Quizzes
- Social Science Quizzes
- Sociology Quizzes
Back to top