# WeCP Number System, Decimal, and Power Quiz 1

Question 1 Time: 00:00:00
How many whole numbers are there between 124 and 298 which are exactly divisible by 11? 14

14

16

16

18

18

17

17

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Question 2 Time: 00:00:00
In a class of 30 students, the professor H.C. Verma gave the students an interesting question.

For the given equation, $ax^{2}+bx+c = 0$, if P and Q are its roots. Then which equation will have roots (PQ + P + Q) and (PQ – P – Q)? $a^2x^2 + 2acx + c^2 + b^2 = 0$

$a^2x^2 + 2acx + c^2 + b^2 = 0$

$a^2x^2 - 2acx + c^2 - b^2 = 0$

$a^2x^2 - 2acx + c^2 - b^2 = 0$

$a^2x^2 - 2acx + c^2 + b^2 = 0$

$a^2x^2 - 2acx + c^2 + b^2 = 0$

$a^2x^2 + 2acx + c^2 - b^2 = 0$

$a^2x^2 + 2acx + c^2 - b^2 = 0$

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Question 3 Time: 00:00:00
m and n are two whole numbers and p is their LCM. If m= 13, p= 39 and the HCF of these two numbers is 1 then find the value of n ? 13

13

3

3

507

507

23

23

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Question 4 Time: 00:00:00
In maths class, the professor Dr. Kundu gave the students a simple question. What will be the largest number which divides 159, 124, and 208 leaving remainder 6, 5 and 4 respectively? 7

7

11

11

13

13

17

17

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Question 5 Time: 00:00:00
A group of students were preparing for the CAT exam. While solving the questions, they chrome across the following question. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively. 3059

3059

2967

2967

3013

3013

2958

2958

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Question 6 Time: 00:00:00
$Find\ the\ n^{th}\ term\ of\ the\ following\ sequence:$

$3 + 33 + 333 + ……….. T_n$ $3(10^n-1)$

$3(10^n-1)$

$\frac{3}{9}(10^n-1)$

$\frac{3}{9}(10^n-1)$

$\left ( \frac{3}{9} \right )^n(10^n-1)$

$\left ( \frac{3}{9} \right )^n(10^n-1)$

$3^n(10^n-1)$

$3^n(10^n-1)$

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Question 7 Time: 00:00:00
Professor Bohra from IIT Mandi gave his student a simple question.

$If\ 1^3 + 2^3 + 3^3 +.... + 10^3 = 3025\ and\ 2^3+ 4^3+ 6^3.... + 20^3 = m$

Then find the value of 2m. 24200

24200

48400

48400

72600

72600

12100

12100

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Question 8 Time: 00:00:00
When a number is divided by 4, 7 and 9, it leaves the remainder as 5. Consider all such possible numbers in between 80 and 800. What is the average of the numbers ? 509

509

504

504

756

756

514

514

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Question 9 Time: 00:00:00
In a positive fraction, its numerator is 5 less than its denominator. If the denominator is decreased by 6 and the numerator is increased by 3, the numerator becomes three times the denominator. What is the value of fraction ? $\frac{5}{8}$

$\frac{5}{8}$

$\frac{3}{8}$

$\frac{3}{8}$

$\frac{3}{7}$

$\frac{3}{7}$

$\frac{4}{7}$

$\frac{4}{7}$

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Question 10 Time: 00:00:00
$If\ A = 2^{30},\ B = 2^{29} + 2^{28} + 2^{27} + … + 2^0\ and\ C = 3^{14} + 3^{13} + 3^{12} +.... +3^0,\ then\ which\ of\ the\ following\ options\ is\ TRUE\ ?$ C>B>A

C>B>A

B>A>C

B>A>C

A>C>B

A>C>B

A>B>C

A>B>C

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