Directions (1-4): What will come in place of question mark (?) in the following number series?
Q1. 6, 9, 18, 45, 135, ?
(a) 470
(b) 472.5
(c) 493.75
(d) 476.5
Q2. 66, 35, 72, 38, 78, ?
(a) 39
(b) 158
(c) 37
(d) 41
Q3. 29, 33, 60, 76, 201, ?
(a) 391
(b) 139
(c) 237
(d) 211
Q4. 138, 269, 532, 1059, 2114, ?
(a) 4405
(b) 4025
(c) 4252
(d) 4225
Q5. Among P, Q, R, S and T each having a different height, Q is taller than S. T is shorter than P. R is taller than Q but shorter than T. Who among them is the longest?
(a) S
(b) P
(c) R
(d) Data inadequate
Directions (6-7): Find out the approximate value which should replace the question mark (?) in the following questions. (You are not expected to find out the exact value)
Q6. 499.99 + 1999 ÷ 39.99 × 50.01 = ?
(a) 3200
(b) 2700
(c) 3000
(d) 2500
Q7. 73.99% of 1299 + 9.98% of 1899 = ?
(a) 1250
(b) 1230
(c) 1150
(d) 1180
Q8.If ‘when’ means ‘×’, ‘you’ means ‘÷’, ‘come’ means ‘–’ and ‘will’ means ‘+’, then what will be the value of “8 when 12 will 16 you 2 come 10”?
(a) 45
(b) 94
(c) 96
(d) 112
Q9. If ‘+’ stands for ‘division’, ‘÷’ stands for ‘multiplication’, ‘×’ stands for ‘subtraction’ and ‘–’ stands for ‘addition’, which one of the following is correct?
(a) 18 ÷ 6 × 7 + 5 – 2 = 22
(b) 18 × 6 + 7 ÷ 5 – 2 = 16
(c) 18 ÷ 6 – 7 + 5 × 2 = 20
(d) 18 + 6 ÷ 7 × 5 – 2 = 18
Q10. If – means ÷, + means ×, ÷ means –, × means +, then which of the following equation is correct?
(a) 52 ÷ 4 + 5 × 8 – 2 = 36
(b)43 × 7 ÷ 5 + 4 – 8 = 25
(c) 36 × 4 – 12 + 5 ÷ 3 = 420
(d)36 – 12 × 6 ÷ 3 + 4 = 60
Solutions:
S1. Ans.(b)
Sol. Series is × 1.5, × 2, × 2.5, × 3, × 3.5
∴ ? = 135 × 3.5 = 472.5
S2. Ans.(d)
Sol. Series is ÷ 2 + 2, × 2+ 2, ÷ 2 + 2, × 2 + 2, ÷ 2 + 2
∴? = 78 ÷ 2 + 2 = 41
S3. Ans.(c)
Series is + 2²,+ 3³,+4²,+5³,+ 6²
∴ ? = 201 + 6²=237
S4. Ans.(d)
Sol. Series is × 2 – 7, × 2 – 6, × 2 – 5, × 2 – 4, × 2 – 3
∴ ? = 2114 × 2 – 3 = 4225
S5.Ans.(b)
S6. Ans.(c)
Sol.
?≈500+50×50
≈3000
S7. Ans.(c)
Sol.
? ≈(74×1300)/100+(10×1900)/100
≈960+190
≈1150
S8.Ans. (b)
Sol. Using the correct symbols, we have:
Given expression = 8 ×12 + 16 ÷ 2 – 10 = 96 + 8 – 10
= 104 – 10 = 94.
S9.Ans. (d)
Sol. Using the proper notations in (d), we get the statement as:
18 ÷ 6 × 7 – 5 + 2 = 3 × 7 – 5 + 2 = 21 – 5 + 2 = 18.
S10.Ans. (a)
Sol. Using the proper notations in (a), we get the statement as:
52 – 4 ×5 + 8 ÷ 2 = 52 – 4 × 5 + 4 = 52 – 20 + 4 = 56 – 20 = 36.
