(A) 0.0018
(B) 0.018
(C) 0.18
(D) 1.8
(E) 18
Answer: A: 0.0018 Explanation: 0.006 × 0.02 × 0.0036 ÷ (0.06 × 0.004) = x (0.006 × 0.02 × 0.0036) / (0.06 × 0.004) = x X = 0.0018
2) Directions: What value should come in place of (?) in the following questions? (3.03 + 7.07)2 – x = 5 × 1.04 × 6.8
(A) 66.65
(B) 65.66
(C) 61.13
(D) 72.15
(E) 59.17
Answer: A: 66.65 Explanation: (3.03 + 7.07)2 – x = 5 × 1.04 × 6.8 (10.1)2 – x = 35.36 102.01 – x = 35.36 X = 102.01 – 35.36 X = 66.65
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3) Directions: In the following questions, two equations I and II are given. You have to solve both the equations and give Answer. I. x2 – 5x – 24 =0 II. y2 – 7y – 18 = 0
(A) x > y
(B) x ≥ y
(C) x < y
(D) x ≤ y
(E) x = y or the relation cannot be established
Answer: E: x = y or the relation cannot be established Explanation: Solution: I. x2 – 5x – 24 =0 x2 – 8x + 3x – 24 = 0 x(x – 8) + 3(x – 8) = 0 x = +8, -3 II. y2 – 7y – 18 = 0 y2 – 9y + 2y – 18 = 0 y(y – 9) + 2(y – 9) y = +9 , -2 Hence, can’t be determined
4) Directions: In the following questions, two equations I and II are given. You have to solve both the equations and give Answer. I. (343x)1/3 = √2401 II. √4y = (256)1/2
(A) x > y
(B) x ≥ y
(C) x < y
(D) x ≤ y
(E) x = y or the relation cannot be established
Answer: E: x = y or the relation cannot be established Explanation: Solution: I. (343x)1/3 = √2401 7x1/3 = ±49 x = ±343 II. √4y = (256)1/2 4y = 256 y = 64 Hence, Cant be determined
5) Directions: What value should come in place of (?) in the following question? (15/8) × 120% × 50% × 200 = ? × 112.5
(A) 4
(B) 6
(C) 2
(D) 5
(E) 3
Answer: C: 2 Explanation: (15/8) × 120% × 50% × 200 = x × 112.5 (15/8) × 120/100 × 50/100 × 200 = x × 112.5 225 = x × 112.5 X = 2
6) Directions: What value should come in place of (?) in the following question? (45 × 20÷10 + 21) ÷ 3 =√?
(A) 900
(B) 961
(C) 1369
(D) 1224
(E) 1225
Answer: C: 961 Explanation: (45 × 20÷10 + 21) ÷ 3 =√x (90 + 21)/3 =√x 111/3 = √x X = 1331
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7) Directions: What value should come in place of (?) in the following question? ? = 5.8 × 2.5 + 0.6 × 6.75 + 139.25
(A) 157.30
(B) 157.80
(C) 158.40
(D) 160.30
(E) None of these
Answer: B: 157.80 Explanation: Solution: ⇒ 5.8 × 2.5 + 0.6 × 6.75 + 139.25 ⇒ 14.50 + 4.05 + 139.25 ⇒ 157.80
8) Directions: What value should come in place of (?) in the following question? 3889 + 12.952 – ? = 3854.002
(A) 47.095
(B) 47.752
(C) 47.935
(D) 47.95
(E) None of these
Answer: D: 47.95 Explanation: Solution: 3889 + 12.952 – ? = 3854.002 ⇒? = 3889 + 12.952 – 3854.002 ⇒? = 3901.952 – 3854.002 ⇒? = 47.95
9) Directions : What value should come in place of (?) in the following question ? 138.009 + 341.981 – 146.305 = 123.6 + ?
(A) 120.085
(B) 120.85
(C) 210.085
(D) 124.125
(E) None of these
Answer: C: 210.085 Explanation: Solution: 138.009 + 341.981 – 146.305 = 123.6 + x ⇒ x = (138.009 + 341.981) – (146.305 + 123.6) ⇒ 479.99 – 269.905 ⇒ 210.085