Direction (110): What value should come in place of question mark (?) in the following questions?
1. 336829 – 2568 – 182639 = ?
? =151622
Answer: C
2. 157 ÷ 5 ÷ 0.2 = ? – 12 × 1.4
Or, ? = 157 + 16.8 = 173.8
Answer: B
3. 15 1/4 + 32 1/3 + 12 3/4 × 7 1/17 = ? + 13 1/4
= (61/4) + (97/3) + 90 = (183+388+1080)/12 = 1651/12
Or, ?= (1651/12)  (53/4) = (1651159)/12 = 1492/12
= 124 4/12 = 124 1/3
Answer: D
4. 3.6 ×1.5 + 4.4 × 2.5  1.2 × 2.8 = ?
= 5.4 + 11  3.36 = 16.4  3.36 = 13.04
Answer: A
5. 156% of 780  2/5 of 480 + 85% of 540=?
= 1216.8 – 192 + 459
= 1675.8  192 = 1483.8
Answer: B
6. 160 ÷ 12.5 × 4.5 + 34.2 × 3.4 = ?
= 12.8 × 4.5 + 34.2 × 34
= 57.6 + 1162.8 = 1220.4
Answer: A
7. 14580 ÷ 54 ÷ 12 = ?
Answer: B
8. 85% of 95% of 4/5 of 2240 = ?
= (17 × 19 × 4 × 112) / 100
= 144704/100 = 1447.04
? = 426.4
Answer: A
9. (√77.44) × (∛884.736) = ?
(∛884.736 ) = (∛(884736 / 1000)) = (96/10) = 9.6
? = (8.8) × (9.6) = 84.48
Answer: B
10. (11.1) × (22.2) × (4.44) = ?
Answer: A
Direction (1120): What approximate value should come in place of question mark (?) in the following questions?
11. 122 .05% of 120 + 149.99% of 150 = ?
Now, ? = 122% of 120 + 150% × 150
= (122 × 120/100) + (150 × 150/100) = (146.4+225)
= 371.4 ≈ 371
Answer: A
12. (9.899)^3 × (2.399)^2 × (4.005)^4 = ?
= (9.9)^3 × (2.4)^2 × (4)^4
= (970.299) × (5.76) × 256
= (970.3) × (5.75) × 256 = 1428281.6 ≈ 1428200 Answer: A
13. (√(121.05 )) × (√168.99) × ( ( 3√124.9899) ) = ?
= 11 × 13 × 5 = 715
Answer: A
14. (49.99)^2 + (59.96)^2 + (64.501)^2 = ?
= 2500 + 3600 + 4160.25 = 10260
Answer: C
15. (65.001)^2 + (63.999)^2  (48.998)^2 = ?
= 4225 + 4096  2401
= 8321 – 2401 = 5920
Answer: C
16. 68.003 ÷ 33.489 = (?)^2 18.79
(?)^2 – 19 = 68/34
Or, (?)^2 = 2 +19
(?)^2 = 21
?= √21
? = 4.58 ≈ 5
Answer: E
17. 68.003 ÷ 33.489 = (?)^2 18
Answer: C
18. 20440 ÷ 639.890 = √(?)
? = 32 × 32 = 1024
Answer: B
19. 279.04 × 12.546 + 65.37 × 47.08 = ? + 126.589
? +127 = 276 × 13 + 65 × 47
? +127 = 3627 + 3055
? +127 = 6682
? = 6682 – 127
= 6555 ≈ 6550
Answer: C
20. (19.97 % of 781) + ? + (30% of 87) = 252
Or (20% of 780) + ? + (30 % of 87) = 252
156 + ? + 26 ≈ 252
182 + ? ≈ 252
? ≈ 252  182
? = 70
Answer: D
Direction (21 – 25): What value should come in place of the question mark (?) in the following number series?
21. 22, 42, 64, 88, ?
5² + 39= 64, 6² +52 = 88
? = 7² + 65 = 114
Answer: D
22. 11, 61, 299, 1189, ?
Answer: A
23. 215, 19, 163, 63, ?
Answer: B
24. 160, 80, 120, 300, ?
Answer: A
25. 4, 5, 8, 15, ?
Answer: C
Direction (2630): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and given answer:
26. Ⅰ. 3x^2 + 13x + 14 = 0
Ⅱ. 3y^2 + 11y + 10 = 0
Or, (3x + 7) (x + 2) = 0
x = 2 or – (7 / 3)
Ⅱ. 3y^2 + 11y + 10 = 0
Or, (y + 2) (3y + 5) = 0
∴ y = 2 or – (5 / 3)
Hence x ≤ y
Answer: E
27. Ⅰ. 49x^2  84x + 36 = 0
Ⅱ. 25y^2  30y + 9 = 0
Or, 49x^2  42x – 42x + 36 = 0
Or, (7x  6)(7x  6) = 0
x = 6/7, 6/7
Ⅱ. 25y^2  30y + 9 = 0
Or, (5y  3)2 = 0
∴ y = 3/5, 3/5
Hence x> y
Answer: B
28. Ⅰ. 3x + 4y = 49
Ⅱ. 5x + 8y = 91
Answer: c
29. Ⅰ. x + (1 / x) = 17 / 4
Ⅱ.4y2 + 4 + 17y = 0
x = 4 or 1 / 4
Ⅱ.4y^2 + 4 + 17y = 0
Or, 4y^2 + 16y + y + 4 = 0
Or, (y + 4)(4y + 1) = 0
y = 4, or – (1 / 4)
Hence x> y
Answer: B
30.Ⅰ. x^2  9x + 18 = 0
Ⅱ. 2y^2  5y = 3
Or, (x  6)(x  3) = 0
x = 6 or 3
Ⅱ. 2y^2  5y  3 = 0
Or, (y – 3)(2y + 1) = 0
∴ y =  (1 / 2) or 3
Hence x ≥ y
Answer: D
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