Numbers- Aptitude Questions and Answers | Online Numbers MCQ Aptitude Test
Quiz Name
Numbers
Category
Online Aptitude Test
Number of Questions
30
Time
30 Minutes
Exam Type
MCQ (Multiple Choice Questions)
1. Which of the numbers below is not a prime number?
a. 31
b. 61
c. 71
d. 91
Answer: D
Explanation:
The number 91 can be divided by seven. As a result, it isn't a prime number.
2. What does (112 x 5 TO THE POWER 4) equal?
a. 67000
b. 70000
c. 76500
d. 77200
Answer: B
Explanation:
112 x 54 = 112 x 10 TO THE POWER 4/2 = 112 x 10 TO THE POWER = 1120000/16= 70000
3. The fact that (232 + 1) is totally divisible by a whole number is assumed. This number is totally divisible by which of the following numbers
a. (2 TO HE POWER 16+ 1)
b. (2 TO THE POWER 16 - 1)
c. (7 x 22 TO THE POWER 3 )
d. (2 TO THE POWER 96 + 1)
Answer: D
Explanation:
Let x = 2TO THE POWER 32. Then (x + 1) = (2 TO THE POWER 32 + 1)..Allow the natural number N to be totally divisible by (x + 1). Then,(2 TO THE POWER 96 + 1) = [(2TO THE POWER 32)CUBE+ 1] = (xCUBE + 1) = (x + 1)(x SQUARE - x + 1), which is divisible by N.
4. What is the smallest number that may be added to 1056 to make the total divisible by 23?
a. 2
b. 3
c. 18
d. 21
5. What does 1397 x 1397 equal?
a. 1951609
b. 1981709
c. 18362619
d. 2031719
Answer: A
Explanation:
1397 x 1397 x 1397 x 1397 x 1397 x 13 (1397)= SQUARE (1400 - 3),SQUARE = (1400)SQUARE + (3)SQUARE - (2 x 1400 x 3) = 1960000 + 9 - 8400 = 1960009 - 8400 = 1951609. SQUARE = (1400)SQUARE + (3)SQUARE - (2 x 1400 x 3) = 1960000 + 9 - 8400 = 1960009 - 8400 = 1951609.
6. How many of the integers 264, 396, 462, 792, 968, 2178, 5184, 6336 are divisible by 132?
a. 4
b. 5
c. 6
d. 7
Answer: A
Explanation:
4 × 3 x 11 = 132,So, if a number is divisible by all three numbers (4, 3, and 11), it is also divisible by 132.(/) 264 11,3,4,396 11,3,4 (/) 396 11,3,4 (/) 396 11,3,4 (/,462 (11.3%) (X).792 11,344 (/) 792 11,344 (/) 792 11,344 (/.968 (11.4%) (X).11,3 2178 (X).3,4 5184 (X).(/) 6336 11,3,4,As a result, the numbers 264, 396, 792, and 6336 are divisible by 132.Number of numbers required = 4.
7. (935421 multiplied by 625) =?
a. 575648125
b. 584638125
c. 584649125
d. 585628125
Answer: B
Explanation:
935421 x 625 = 935421 x 54 = 935421 x 10/2 TO THE POWER 4 = 935421 x 10/2 TO THE POWER 4=935421 x 10 TO THE POWER 4/2 TO THE POWER.
4=9354210000/16=9354210000/16=9354210000/16=9354210000/16=9354210000/16=9354210000/16=584638125
8. What is the largest four-digit number that is exactly divisible by 88?
a. 9944
b. 9768
c. 9988
d. 8888
Answer: A
Explanation:
9999 is the largest four-digit number.319 264 —- 55 —- 88) 9999 (113 88 —— 119 88 —— 319 264 —- 55 —- 88) 9999 (113 88 —— 119 88 —— 319 264 —- 55,(9999 - 55) = 9944 is the required number.
9. Which of the numbers below is a prime number?
a. 33
b. 81
c. 93
d. 97
Answer: D
Explanation:
97 is clearly a prime number.
10. In (6374)1793 x (625)317 x (341491), what is the unit digit?
a. 0
b. 2
c. 3
d. 5
Answer: A
Explanation:
The unit digit in (6374)1793 is the same as the unit digit in (4)1793.= In [(42)896 x 4], the unit digit is 6 × 4 = 4 = Unit digit in625-317 = 625-317 = 625-317 = 625-317 = 625-317 = 625-317 = 625-317 = (5),317 + 5 =digit in the unit (341),491 is the unit digit in the number 491. (1),1 + 491,Unit digit in (4 x 5 x 1) = 0. Required digit = Unit digit in (4 x 5 x 1) = 0.
11. 5358 multiplied by 51 equals?
a. 273258
b. 273268
c. 273348
d. 273358
Answer: A
Explanation:
5358 x 51 + 5358 x (50 + 1) = 5358= 5358 x 50 + 5358 x 1 = 5358 x 50 + 53,267900 + 5358 = 267900+5358,equals 273258.
12. The first five prime numbers add up to:
a. 11
b. 18
c. 26
d. 28
Answer: D
Explanation:
2 + 3 + 5 + 7 + 11 = 28 is the required sum.It should be noted that 1 is not a prime number.A prime number (or prime) is a natural number with precisely two natural number divisors: 1 and itself.
13. 1365 is the difference between two numbers. We obtain 6 as the quotient and 15 as the remainder when we divide the larger number by the smaller. What is the smaller of the two numbers?
a. 240
b. 270
c. 295
d. 360
Answer: B
Explanation:
Let x be the lower number. Then the greater integer is equal to (x + 1365).6x + 15 = x + 1365=1350 x 5=270 = x,270 is a smaller number.
14. 432 = 14. (12)3 x 64 =?
a. 5184
b. 5060
c. 5148
d. 5084
Answer: A
Explanation:
If Exp. = (12)cube x 6 to the power is given, 6 to the power of 4/432=(12) cube 4/12 x 6 = (12) square x 6 = (72) square = 5184
15. 72519 multiplied by 9999 =?
a. 725117481
b. 674217481
c. 674217481
d. 696217481
Answer: A
Explanation:
72519 x 9999 = 72519 x (10000 - 1) = 72519 x 10000 - 72519 x 1 = 72519 x 10000 - 72519 x 1 = 725190000 - 72519 = 725117481
16. The smallest whole number in place of * if the number 517*324 is completely divisible by 3 is:
a. 0
b. 1
c. 2
d. None of these
Answer: C
Explanation:
5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x), which must be divisible by three. x= 2
17. What is the smallest three-digit prime number?
a. 101
b. 103
c. 109
d. 113
Answer: A
Explanation:
100 is the smallest three-digit number that is divisible by two.The number 100 isn't a prime number.101 is not divisible by any of the prime numbers 2, 3, 5, 7, or 11, and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, or 11.The number 101 is a prime number.As a result, the smallest three-digit prime number is 101.
18. Which of the following numbers is divisible by 11 exactly?
a. 235641
b. 245642
c. 315624
d. 415624
Answer: D
Explanation:
Not divisible by 11: (4 + 5 + 2) - (1 + 6 + 3) = 1.Not divisible by 11: (2 + 6 + 4) - (4 + 5 + 2) = 1.Not divisible by 11: (4 + 6 + 1) - (2 + 5 + 3) = 1.(0 + 2 + 5 + 4) = (4 + 6 + 1) - (2 + 5 + 4) = As a result, 415624 can be divided by 11.
19. 9999 = 19. (?) - 19657 - 33994
a. 63650
b. 53760
c. 59640
d. 61560
Answer: A
Explanation:
Let x - 53651 = 9999 33994 be the solution. x = 9999 + 53651 = 63650 ——- 53651
20. Let x - 53651 = 9999 33994 be the answer. Then x = 9999 + 53651 = 63650 ——- 53651. The first 45 natural numbers add up to:
a. 1035
b. 1280
c. 2070
d. 2140
Answer: A
Explanation:
Sn equals (1 + 2 + 3 +... + 45). This is an A.P. with the following values: a = 1, d = 1, and n = 45.45/2 x [2 x 1 + (45 - 1) x 1] = 45/2 x 46 = Sn = n/2 [2a + (n - 1)d] = 45/2 x [2 x 1 + (45 - 1) x 1] = 45/2 x 46 = (45 x 23)= 45 x (20 + 3) =45 x 20 + 45 x 3 = 45 x 20 + 45 x 3= 900 + 135 + 135 + 135 + 135 + 135 +Equals 1035.Method of Shorcut:Sn = n(n + 1)/2 = 45(45 + 1)/2 = 1035
21. Which of the numbers below is divisible by 24?
a. 35718
b. 63810
c. 537804
d. 537804
Answer: D
Explanation:
3 and 8 are co-prime, hence 24 = 3 x8.35718 is clearly not divisible by eight, just as 718 is not divisible by eight.Similarly, 63810 and 537804 are not divisible by eight.Option to think about (D),(3 + 1 + 2 + 5 + 7 + 3 + 3 + 6) = 27, which is divisible by three.736 is also divisible by 8.3125736 is divisible by (3 x 8), i.e. it is divisible by 24.
22. 753 x 753 + 247 x 247 - 753 x 247 =? 753 x 753 x 753 + 247 x 247 x 247
a. 1/1000
b. 1/506
c. 253/500
d. None of these
Answer: A
Explanation:
Given Exp. = 1 = 1 = 1 (a3 + b3) (a + b) (753 + 247)=1/1000
23. 31111 = 23. (?) + 3699 + 1985 - 2047
a. 34748
b. 27474
c. 30154
d. 27574
Answer: B
Explanation:
31111 = x + 3699 + 1985 - 2047,31111 + 2047 = x + 3699 + 1985,33158 = x + 5684,x = 33158 minus 5684 equals 27474.
24. If the integer 481 * 673 is totally divisible by 9, the smallest whole number that can be substituted for the * is:
a. 2
b. 5
c. 6
d. 7
Answer: D
Explanation:
(4 + 8 + 1 + x + 6 + 7 + 3) = (29 + x), which must be divisible by nine.x equals 7.
25. In the numeral 32675149, the difference between the local value and the face value of 7 is
a. 75142
b. 64851
c. 5149
d. 69993
Answer:D
Explanation:
(70000 - 7) = 69993 (Local value of 7) - (Face value of 7)
26. A positive proper fraction and its reciprocal have a 9/20 difference. This is the percentage:
a. 3/5
b. 3/10
c. 4/5
d. 4/3
Answer: C
Explanation:
Let x be the desired fraction. After that, 1/x - x = 9/20
1 - x SQUARE= 9/20 1 - x SQUARE= 9/20 1 - x SQU,9x20 - 20xSQUARE,0 = 20xSQUARE + 9x - 20,20xSQUARE + 25x - 16x - 20 = 0 xSQUARE + 25x - 16x - 20 = 0 xSQUARE + 25,0 = 5x(4x + 5) - 4(4x + 5)=4/5 = x
27. We obtain 29 as the residual when we divide a number by 56. What is the leftover when dividing the same number by eight?
a. 4
b. 5
c. 6
d. 7
Answer: B
Explanation:
(1)(56*Q)+29 = D -------,2 )D%8 = R -------------,Using the formula (2),R = ((56*Q)+29).Assume that Q is equal to one.=> R = (56+29)%=> R = 85%=> R is the result of multiplying 5 by the number of digits.
28. If n is a natural number, (6n2 + 6n) must be divisible by:
a. 6 only
b. 6 and 12 both
c. 12 only
d. by 18 only
Answer: B
Explanation:
Because n(n + 1) is always even, (6n2 + 6n) = 6n(n + 1), which is always divisible by 6 and 12.
29. 107 x 107 + 93 x 93 =? 29. 107 x 107 + 93 x 93 =?
a. 19578
b. 19418
c. 20098
d. 21908
Answer: C
Explanation:
107 x 107 + 93 x 93 = 107 x 107 + 93 x 93 = (107).2 + 2 (93).(100 + 7) = 2,2 + 2 (100 - 7),[(100)2 + 72] = 2 = 2 x [(100)2 + 72] [Reference: (a + b)] [(a2 + b2) = 2(a2 +b2)] 2 + (a - b)2 = 2(a2 + b2)]= The year 2009.
30. When (6767 + 67) is divided by 68, what is the remainder?
a. 1
b. 63
c. 66
d. 67
Answer: C
Explanation:
Only when n is odd will (xn + 1) be divisible by (x + 1).The number (6767 + 1) will be divisible by the number (67 + 1).When (6767 + 1) + 66 is divided by 68, the result is 66.
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