Surds and Indices - Aptitude Questions and Answers | Online Surds and Indices MCQ Aptitude Test

 February 15, 2022  Shivam S Aptitude Test

Surds and Indices - Aptitude Questions and Answers | Online Surds and Indices MCQ Aptitude Test

Quiz Name	Surds and Indices
Category	Online Aptitude Test
Number of Questions	15
Time	30 Minutes
Exam Type	MCQ (Multiple Choice Questions)

1. (17.5) x (17.5) = 178
a. 2.29
b. 2.75
c. 4.25
d. 4.5

Answer: D

Explanation:
Let (17)3.5 x (17)x = 178 be the answer.As a result, (17)3.5 + x = 178.8 = 3.5 + x= x (8 - 3.5)=4.5 = x’

2. If an x - 1 Equals b x - 3, then the value of x is: b a.
a. 1/2
b. 1
c. 2
d. 7/2

Answer: C

Explanation:
Given (a/b )x - 1 = (b/a )x - 3 (a/b )x - 1= (a/b)-(x - 3) = (a/b )x - 1= (a/b)-(x - 3) = (a/b )x - 1= (a/b)-(x - 3) = (a/b )x - 1= (a/b ) (3 - x),3 - x 2x = 4 x - 1 = 3 - x 2x = 4,2 = x.

3. If 100.48 = x, 100.70 = y, and xz = y2, the value of z is approximately:
a. 1.45
b. 1.88
c. 2.9
d. 3.7

Answer: C

Explanation:
10(0.48z) = 10(2 x 0.70) = 101.40 xz = y2,1.40 = 0.48z,z = 140/48 = 35/12 = 2.9 z = 140/48 = 35/12 = 2.9 z = 140/48 = (approx.).

4. If 5a = 3125, the value of 5(a - 3) is as follows:
a. 25
b. 125
c. 625
d. 1625

Answer: A

Explanation:
3125 = 5a 55 + 5a,a = five.5(a - 3) = 5(5 - 3) = 52 = 25 is the answer.

5. If 3(x - y) = 27 and 3(x + y) = 243, then the value of x is:
a. 0
b. 2
c. 4
d. 6

Answer: C

Explanation:
3x - y = 27 = 33 x - y = 3 x - y = 3 x - y = 3 x - y = 3 x - (i),3x + y = 243 = 35 x + y = 5 x + y = 5 (ii),We get x = 4 after solving I and (ii).

6. What is the product of (256)0.16 and (256)0.09?
a. 4
b. 16
c. 64
d. 256.5

Answer: A

Explanation:
(256)0.16 multiplied by (256)0.09 equals (256)(0.16 + 0.09)= 0.25 (256)= (256)(25/100)= (1/4)(256)= (1/4)(44)= 4 to the fourth power= 4.

7. [(10)150 (10)146] is the value.
a. 1000
b. 10000
c. 100000
d. 10 to the power 6

Answer: B

Explanation:
(10 to the power 150/10 to the power 146 = 10to the power,150/10 to the power 146,150 - 146 = 10

8. What is the sum of 1 + 1 + 1? 1 + x(b - a) + x(b - a) + x(b - a) + x( (c - a) 1 + x(a - b) + x(a - b) + x(a - b) + x( (c - b) 1 + x(b - c) + x(a - b) + x(a - b) + x( (a - c)
a. 0
b. 1
c. xa - b - c
d. None of these

Answer: B

Explanation:
Given Exp. = 1/1 +xb/xa +xc/xa + 1/1 +xb/xa +xc/xa + 1/1 +xb/xa +xc/xa + 1/1 +xb/xa +xc/xa + 1/1 +xb/xa +xc/xa + 1/1 +xb/xa +xc/xa + 1/1 +xb/xa +xc= xa/(xa + xb + xc) + xb/(xa + xb + xc) + xc/(xa + xb + xc) + xc/(xa + xb + xc)= (xa + xb + xc)/(xa + xb + xc)/(xa + xb + xc)=equals 1.

9. (125)1.5 x (25)7.5 = 5?
a. 8.5
b. 13
c. 16
d. 17.5

Answer: B

Explanation:
Let (25)7.5 x (5)2.5 (125)1.5 = 5x be the answer.As a result, (52)7.5 x (5)2.5/(53)1.5 = 5x.5x = 5(2 x 7.5) x 52.5/5(3 x 1.5),5x = 515 x 52.5/54.5,5(15 + 2.5 - 4.5) = 5x,513 = 5x,x equals 13.

10. (0.04) + 1.5 =?
a. 25
b. 125
c. 620
d. 625

Answer: B

Explanation:
(4/100)-1.5 = (0.04)-1.5 = (0.04)-1.5= (25)(3/2) = (52)(3/2) = (5)2 x (3/2) =53 =125

11. 9n x 3n - 1 = 11. (243)n/5 x 32n + 1 =?
a. 1
b. 2
c. 9
d. 3n

Answer: C

Explanation:
(243)(n/5) x 32n + 1/9n x 3n - 1 is the given expression.1/(32)n x 3n - 1 = (35)(n/5) x 32n + 1/(32)n x 3n,35 x (n/5) x 32n + 1 = 35 x (n/5) x 32n + 1 = 35 x (n/5) x 32n (32n x 3n - 1),3(n + 2n + 1)/3(2n + n - 1) = 3(n + 2n + 1)= 33n + 1 = 33n - 1 = 33n - 1= 3(3n - 1 - 3n - 1) = 32 = 9.

12. 1 + a =? 12. 1 + 1 =? (n - m) 1 plus a (m - n)
a. 0
b. 1/2
c. 1
d. am + n

Answer: C

Explanation:
1+1+=1 + 1,1 plus an am,am a plus one,1 plus a (n - m),1 + a(m - n) = am + a (am + an) (am + an) = 1

13. If m and n are both whole numbers, and mn = 121, (m - 1)n + 1 equals:
a. 1
b. 10
c. 121
d. 1000

Answer: D

Explanation:
We know that 112 + 121 equals 121.When m = 11 and n = 2 are combined, we get:(11 - 1)(2 + 1) = 103 = 1000.

14. xb/xc(b + c - a) is a 14. (c + a - b) xc/xa xc (a + b - c) = xa/xb(a + b - c) = xa/xb(a + b - c) =?
a. xabc
b. 1
c. xab + bc + ca
d. xa + b + c

Answer: B

Explanation:
Exp. = x(b - c)(b + c - a) is given. (c + a - b) x(c - a) x(c - a) x(c - a) x(c + a - b) = x(b - c)(b + c)(a + b - c)(a + b - c)(a + b - c)(a + b - c)(a + b - c)(a + b - c)( - (a)(b)(c)(d)( x(c - a)(c + a)(c + a)(c + a)(c + a)(c + - (c - a) b(c - a) b(c - a) b(c - x(a - b)(a + b) - c(a - b) = x(b2 - c2 + c2 - a2 + a2 - b2) + x(b2 - c2 + c2 - a2 + a2 - b2) (x0 x x0) = (1 x 1) = 1. x-a(b - c) - b(c - a) - c(a - b) = (x0 x x0).

15. If x = 3 + 22 and root x -1/x is equal to:
a. 1
b. 2
c. 22
d. 33

Answer: B

Explanation:
(3 + ROOT 2) = x+1- 2 3 + ROOT 2) + +1- 2 = (3 + ROOT 2) 3 - ROOT2) = (3 + 22) + +1x(3 - ROOT2)- 2,(3 + ROOT2) (3 - ROOT2) (3 - 22) -2 equals four.ROOT x -1/ROOT X= 2

You May Also Check

Area	Surface Areas and Volume	Problem On HCF and LCM
Mixture & Alligation	Problems On Age	Compound Interest
Time & Work	Square Roots & Cube Roots	Odd Man Out and Series
Pipes & Cistern	Bankers Discount	Races & Games
Ratio & Proportion	Simplification	Probability
Stock And Share	Boats & Stream	Chain Rule
All Aptitude	Numbers	Average
Percentage	Time & Distance	True Discount
Profit & Loss	Calendar	Simple Interest
Distance	Clocks	Problems On Trains
Decimal Fraction	Permutation and Combination	Problems On Numbers
Time & Distance	Volume & Surface Area	Partnership

Please read it carefully and eligible candidate can apply for this post before this Opening will get closed. Current Government and Private vacancies are updated regularly with details. To get more Latest JobUpdate like our Facebook Fan Page. Hope the information is helpful for all job seekers. Keep visiting Freshers Job for Latest Freshers Jobs, off campus drives,walk-in interviews in India.

SHARE    

Share

Tweet

Share

Share

 Share on Facebook Share on Twitter Share on Linkedin Share on Reddit Share on Hacker News Share on Email Share on WhatsApp Share on Facebook Messenger Share on Telegram

SHARE 

Aptitude Test