laboursonline – MCQs, Mock Tests | Aptitude Aptitude Indices and Surds Mcq

Simplify the following: (169/121)-3/2 * 27/2 * (13/22)-1

1. 13-1 114 33
2. 13-2 114 34
3. 13-3 114 34
4. 13-4 114 33

✅ Correct Answer: 4

(272/4-3)-5/6 = ?

1. 1/1296
2. 1/46656
3. 1/7256
4. 1/7776

✅ Correct Answer: 4

(5 - 7)2 * (6 - 9)2 / (23)-2 = ?

1. -2304
2. 2304
3. -2382
4. None of these

✅ Correct Answer: 2

(a-3 b-2 / a2 b2)-3 * (a3 b-4 / a-3 b3) / (a-2 b3/a-4 b-3) = ?

1. a-19 b
2. a-19 b-1
3. a19 b-1
4. None of these

✅ Correct Answer: 3

(8x9 / 27y-6)-2/3 = ?

1. 9/4 x-6 y-4
2. 9/4 x-4 y-6
3. 9/4 x-6 y4
4. None of These

✅ Correct Answer: 1

(3a+1 9a+2 27a) / (3a-1 9a 27a+1) = ?

1. 3
2. 9
3. 27
4. 1

✅ Correct Answer: 3

(272/3 * 91/2 * 811/4)-1/4 = ?

1. 3
2. 9
3. 1/3
4. None of these

✅ Correct Answer: 3

(3-3 * 95/2) / (272/3 * 3-4) = ?

1. 3
2. 9
3. 81
4. 21

✅ Correct Answer: 3

(9-7 / 27-3)4/5 = ?

1. 3-1
2. 3-2
3. 3-3
4. 3-4

✅ Correct Answer: 4

1714 * 1716) / 17-8 = ?

1. 1728
2. 1724
3. 1726
4. 1722

✅ Correct Answer: 4

Simplify : 1 - {1 + (a2 - 1)-1}-1

1. 1/a2
2. a2
3. -1/a2
4. None of these

✅ Correct Answer: 1

Simplify : (y4b-a . y4c-b . y4a-c) / (ya . yb . yc)3

1. 0
2. 1
3. y
4. y2

✅ Correct Answer: 2

If 34m+1 = 37m-5, solve for m.

1. 2
2. 3
3. 1/3
4. None of these

✅ Correct Answer: 1

If 24m+2 = 46m-4, solve for m.

1. 7/4
2. 2
3. 5/4
4. None of these

✅ Correct Answer: 3

If y3 = 0.008, y5 = ?

1. 0.00032
2. 0.0032
3. 0.000032
4. None of these

✅ Correct Answer: 1

Solve for m if 3(√3)m+4 = (√3)2m+7

1. 0
2. -1
3. 2
4. None of these

✅ Correct Answer: 2

Identify the greatest numbers: 450, 2100, 1625

1. 450
2. 2100
3. 1625
4. All are equal

✅ Correct Answer: 4

If x = 3 - √7, then find the value of x + 1/x.

1. 1/2 (9 + √7)
2. 1/2 (9 - √7)
3. 1/2 (7 + √10)
4. 1/2 (7 - √10)

✅ Correct Answer: 2

If x = 3 - √7, then find the value of x + 1/x.

1. 1/2 (9 + √7)
2. 1/2 (9 - √7)
3. 1/2 (7 + √10
4. 1/2 (7 - √10)

✅ Correct Answer: 2

Which of the following is the greatest?

1. 41/4
2. 37/10
3. 51/2
4. 31/4

✅ Correct Answer: 3

242 + 420 + 1611 + 647 equals

1. (241)(1)
2. (242)(52)
3. (240) (5)
4. 240 * 52

✅ Correct Answer: 4

If a + b + c = 0 and abc â‰ 0, then [Xa3 / abc][Xb3 / abc][Xc3 / abc] equals

1. X2
2. XC
3. X3
4. X0

✅ Correct Answer: 3

Simplify: yp(q - r) . yq(r - p) . yr(p - q)

1. 0
2. 1
3. yD
4. y2

✅ Correct Answer: 2

Which of the following is the greatest?

1. 323
2. 332
3. 232
4. 222

✅ Correct Answer: 2

[(√7 + √5) / ( (√7 - √5)] + [(√7 - √5) / (√7 + √5)] = ?

1. 6
2. 12
3. 14
4. None of these

✅ Correct Answer: 2

If x = √11 + √20, y = √15 + √17 and z = √14 + √18, then which of the following holds true?

1. x < y < z
2. y < z < x
3. y < x < z
4. x < z < y

✅ Correct Answer: 4

. If x = √3 - √2, then find (x - 1/x)2

1. 2
2. 4
3. 2√2
4. None of these

✅ Correct Answer: 4

If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true?

1. x < z < y
2. z < x < y
3. x < y < z
4. z < y < x

✅ Correct Answer: 2

If x = √196 + √200, then x/2 + 2/x is?

1. 14
2. 7
3. 2√50
4. None of These

✅ Correct Answer: 3

If x = √196 + √200, then x/2 + 2/x is?

1. 14
2. 7
3. 2√50
4. √50

✅ Correct Answer: 3