Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 631 · 40 questions

How to think it through (Type, method, check): Name the type of question. Use that lesson’s method — draw it if you can. Check the answer against every clue before you move on.

1. 1.A wooden cube is painted on all six faces, then each edge is cut into 3 equal parts, making small cubes. How many small cubes have at least one painted face?
2. 2.I am a 2-digit number. My digits add up to 17 and my tens digit is 1 more than my ones digit. What number am I?
3. 3.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
4. 4.Each person always tells the truth or always lies. Zoya says: “Karan tells the truth.” Yash says: “Karan is a liar.” Karan says: “Yash and I both tell the truth.” Is Karan a truth-teller or a liar? (a) truth-teller (b) liar
5. 5.Vivaan, Tara and Aisha each have a bag of a different colour: red, white or blue. Aisha’s bag is not blue. Aisha’s bag is not red. Tara’s bag is not blue. What colour is Aisha’s bag? (a) red (b) white (c) blue
6. 6.If CAT is written as TAC, how is BALL written in the same code? (a) MMBC (b) KKZA (c) LLAB (d) CBMM
7. 7.If DESK is written as KSED, how is HAND written in the same code? (a) IBOE (b) CMZG (c) DNAH (d) EOBI
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 14 − 7 ÷ 8?
9. 9.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 17 47 38 84 37 14. After step 3, what is the 6th number from the left?
10. 10.Aditya is lighter than Vivaan. Aisha is heavier than Aarav. Aditya is heavier than Aisha. Who is the second lightest? (a) Aarav (b) Aditya (c) Aisha (d) Vivaan
11. 11.In a group of 47 children, 26 like mangoes, 15 like bananas and 8 like both. How many like at least one of the two?
12. 12.Five friends (Aarav, Ananya, Diya, Farhan and Siddharth) sit in a row. Left and right are as you look at them. Diya sits somewhere to the left of Aarav. Diya sits next to both Siddharth and Farhan. Farhan sits just to the right of Diya. Aarav sits just to the right of Farhan. Ananya sits somewhere to the left of Diya. Who sits at the left end? (a) Farhan (b) Aarav (c) Siddharth (d) Ananya
13. 13.How many degrees does the hour hand of a clock turn in 46 minutes? =
14. 14.If MILK is written as KLIM, how is BELL written in the same code? (a) MMFC (b) LLEB (c) CFMM (d) KKDA
15. 15.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    19 | 34 | ?
    16 | 22 | 28
    31 | 10 | 25
16. 16.In a group of 45 children, 21 play chess, 14 play carrom and 3 play both. How many play neither of the two?
17. 17.In a group of 47 children, 26 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing at least one of the two?
18. 18.If SUN is written as HFM, how is BELL written in the same code? (a) XUNN (b) CFMM (c) ZWPP (d) YVOO
19. 19.In a group of 43 grown-ups, 13 drink tea, 22 drink coffee and 3 drink both. How many drink at least one of the two?
20. 20.A number machine multiplies a number by 2 and then takes away 1. Each output goes back in as the next input. Start with 5. What comes out after step 3?
21. 21.Aarav, Vivaan and Aisha each have a bag of a different colour: red, blue or white. Aisha’s bag is not white. Aarav’s bag is not red. Aarav’s bag is not blue. Aisha’s bag is not red. Whose bag is red? (a) Aarav (b) Vivaan (c) Aisha
22. 22.A clock shows 4:05. What time will it show 48 minutes later? (a) 5:03 (b) 4:43 (c) 4:53 (d) 5:53
23. 23.Each person always tells the truth or always lies. Nisha says: “Ira and I are the same kind.” Ira says: “Nisha and I are the same kind.” Is Ira a truth-teller or a liar? (a) truth-teller (b) liar
24. 24.If FROG is written as DPME, how is MILK written in the same code? (a) OKNM (b) LHKJ (c) JFIH (d) KGJI
25. 25.Which number is the odd one out: 88, 95, 8, 26? (a) 88 (b) 95 (c) 8 (d) 26
26. 26.Statements: No rings are pens. No pens are cups. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
27. 27.Which number is the odd one out: 39, 65, 87, 75? (a) 39 (b) 65 (c) 87 (d) 75
28. 28.If SUN is written as HFM, how is FISH written in the same code? (a) GJTI (b) TQGR (c) URHS (d) VSIT
29. 29.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 17 | ?
    5 | 13 | 21
    19 | 9 | 11
30. 30.Two standard dice show 5 and 1 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
31. 31.Dev walks 8 m West, turns right and walks 3 m, then turns right again and walks 4 m. How far is he from the starting point now, in a straight line (in m)?
32. 32.If RAIN is written as NIAR, how is BOAT written in the same code? (a) TAOB (b) CPBU (c) UBPC (d) SZNA
33. 33.If + means ÷, − means ×, × means − and ÷ means +, what is 12 × 18 ÷ 7 − 3?
34. 34.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 17 53 48 25 29 15. After step 2, what is the 2nd number from the left?
35. 35.Ishaan walks 8 m East, then turns left and walks 5 m. In which direction is he now from the starting point? (a) North-East (b) North-West (c) South-East (d) South-West
36. 36.Saanvi, Arjun and Farhan each have a bag of a different colour: yellow, blue or red. Arjun’s bag is not blue. Farhan’s bag is not yellow. Saanvi’s bag is not red. Saanvi’s bag is not blue. Whose bag is blue? (a) Saanvi (b) Arjun (c) Farhan
37. 37.Two standard dice show 2 and 3 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
38. 38.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
39. 39.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) N (b) G (c) W (d) K
40. 40.Statements: No books are balls. No shoes are books. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

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