Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 765 · 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 number machine multiplies a number by 2 and then takes away 3. Each output goes back in as the next input. Start with 4. What comes out after step 3?
2. 2.A clock shows 8:14. What time does it show in a mirror? (a) 3:46 (b) 4:46 (c) 4:14 (d) 2:46
3. 3.Myra is a girl. How is Myra’s father’s sister’s husband related to Myra? (a) uncle (b) grandfather (c) brother-in-law (d) father
4. 4.How many degrees does the minute hand of a clock turn in 10 minutes? =
5. 5.If FROG is written as IQTH, how is PARK written in the same code? (a) RCTM (b) KRAP (c) IPYN (d) MTCR
6. 6.Ananya is a girl. How is Ananya’s brother’s son related to Ananya? (a) cousin (b) son (c) nephew (d) brother
7. 7.In a group of 32 children, 15 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
8. 8.Statements: No books are pens. Some books are kites. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
9. 9.Arjun is a boy. How is Arjun’s son’s son related to Arjun? (a) brother (b) nephew (c) son (d) grandson
10. 10.Statements: Some coins are balls. All pens are balls. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
11. 11.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
12. 12.Three friends (Ira, Karan and Priya) sit in a row. Left and right are as you look at them. Priya sits just to the right of Ira. Ira sits somewhere to the left of Karan. Who sits in the middle? (a) Karan (b) Priya (c) Ira
13. 13.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan does not win the match. What can you say about “Vivaan does not get a medal”? (a) must be true (b) must be false (c) can't tell
14. 14.A number machine multiplies a number by 3 and then adds 4. Each output goes back in as the next input. Start with 4. What comes out after step 3?
15. 15.In this magic square every row, column and diagonal adds up to the same total. Find the missing number.
    15 | 36 | 21
    ? | 24 | 18
    27 | 12 | 33
16. 16.In a group of 30 children, 11 sing Hindi songs, 16 sing English songs and 7 sing both. How many sing only Hindi songs?
17. 17.Which capital letter looks exactly the same in water (an upside-down reflection)? (a) R (b) G (c) P (d) E
18. 18.Isha, Nisha and Meera each have a bag of a different colour: white, red or blue. Meera’s bag is not blue. Meera’s bag is not red. Isha’s bag is not blue. Whose bag is white? (a) Isha (b) Nisha (c) Meera
19. 19.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have exactly two painted faces?
20. 20.Kites flown at Makar Sankranti: Aisha 5, Saanvi 11, Riya 13, Rohan 7, Tara 2. Who has the most kites? (a) Riya (b) Aisha (c) Tara (d) Rohan
21. 21.A wooden cube is painted on all six faces, then cut into 125 equal small cubes. How many small cubes have at least one painted face?
22. 22.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: 20 81 46 23 16 17. After step 4, what is the 6th number from the left?
23. 23.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
24. 24.Ira, Manav and Ananya each have a different pet: dog, rabbit or cat. Ira does not have the cat. Ananya does not have the dog. Ira does not have the rabbit. Manav does not have the cat. Who has the rabbit? (a) Ira (b) Manav (c) Ananya
25. 25.Priya is a girl. How is Priya’s mother’s mother related to Priya? (a) grandmother (b) mother (c) aunt (d) sister
26. 26.Meera, Priya and Diya each play a different game: cricket, carrom or badminton. Meera does not play carrom. Priya does not play badminton. Priya does not play cricket. Meera does not play cricket. Which game does Meera play? (a) cricket (b) carrom (c) badminton
27. 27.I am a 2-digit number. My digits add up to 11. If you swap my two digits, the new number is 9 more than me. What number am I?
28. 28.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: 43 36 79 55 35 10. After step 2, what is the 5th number from the left?
29. 29.Statements: No books are coins. Some bags are books. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
30. 30.Each person always tells the truth or always lies. Arjun says: “Neel and I are the same kind.” Neel says: “Arjun is a liar.” Kabir says: “Arjun tells the truth.” Is Neel a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.Two standard dice show 6 and 5 on top. Opposite faces of a dice add up to 7. What is the total of the two bottom faces?
32. 32.If SHIP is written as QJIT, how is DOG written in the same code? (a) EPH (b) GOD (c) FNC (d) HPE
33. 33.Five friends (Arjun, Dev, Ira, Meera and Omkar) sit in a row. Left and right are as you look at them. Omkar sits somewhere to the left of Ira. Arjun sits just to the right of Omkar. Omkar sits somewhere to the left of Dev. Meera sits next to both Ira and Dev. Dev sits at the right end. Who sits just to the left of Dev? (a) Ira (b) Dev (c) Arjun (d) Meera
34. 34.A number machine multiplies a number by 2 and then adds 5. Each output goes back in as the next input. Start with 2. What comes out after step 3?
35. 35.Four friends (Nisha, Saanvi, Siddharth and Vivaan) sit in a row. Left and right are as you look at them. Vivaan sits somewhere to the left of Nisha. Nisha does not sit at either end. Saanvi sits at the right end. Siddharth sits just to the right of Vivaan. Who sits just to the left of Nisha? (a) Vivaan (b) Nisha (c) Siddharth (d) Saanvi
36. 36.Which number is the odd one out: 79, 58, 37, 29? (a) 79 (b) 58 (c) 37 (d) 29
37. 37.A wooden cube is painted on all six faces, then cut into 216 equal small cubes. How many small cubes have no painted face?
38. 38.I am a 2-digit number. My digits add up to 5 and my tens digit is 5 more than my ones digit. What number am I?
39. 39.Kavya is taller than Nisha. Farhan is taller than Kavya. Nisha is taller than Isha. Who is the tallest? (a) Farhan (b) Isha (c) Nisha (d) Kavya
40. 40.Books read in the summer holidays: Vivaan 25, Arjun 12, Yash 21, Meera 23, Aditya 27. How many more books does Aditya have than Meera?

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