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Puzzle Test Questions and Answers

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261.

A doctor plans to visit each of six clinics F, G, H, X, Y and Z exactly once during the course of one day. She is setting up her schedule for the day as per following conditions.

i. She must visit F before G and Y.
ii. She must visit G before X.
iii. The third clinic she visits must be H.

If she visits clinic Z first, which clinic must she visit second ?

Exam Year(s)

CBSE Assistant Secretary - 2024,

Answer: C

Her second visit must be to F.

Z is first and H is third, so the second clinic is one of F, G, X or Y. G cannot be second, because F must come before G. X cannot be second, because G must come before X (and F before G). Y cannot be second, because F must come before Y.

Only F has no clinic that must precede it, so F must be second. A valid schedule is Z, F, H, G, X, Y, or Z, F, H, Y, G, X.

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262.

Seven trainers Qasim, Pappu, Veer, Sohan, Rahul, Tanuj and Usama of different language including Arabic, Urdu, French, Chinese, German, English and Hindi not necessarily in same order visited to coaching on different days of week from Sunday to Saturday as
• There are exactly four trainer visits to coaching before Usama.
• Veer is a Hindi trainer visits to coaching three days before Chinese trainer.
• German and French trainer visits to coaching between the schedule visit of Usama and Veer.
• Usama is a Chinese trainer.
• Urdu trainer visits to coaching between Rahul and Usama.
• Qasim is an English trainer visits to coaching two days before German trainer.
• Tanuj visits to coaching after Usama.
• Sohan is not a German trainer.
Who among the following visited to coaching on Wednesday?

Exam Year(s)

DSSSB - 2023,

Answer: B

The French trainer visited on Wednesday. Number the days Sunday = 1 to Saturday = 7. Exactly four trainers come before Usama, so Usama (Chinese) is on day 5. Veer (Hindi) comes three days before the Chinese trainer, so Veer is on day 2. German and French trainers fall between Veer and Usama, on days 3 and 4. Qasim (English) is two days before the German trainer, which gives German on day 3 and Qasim on day 1, so French is on day 4. The Urdu trainer lies between Rahul and Usama and Tanuj is after Usama, so Urdu is on day 6, Rahul on day 7 and Tanuj on day 6. Sohan is not German, so Sohan is on day 4 and Pappu on day 3. Day 4 is Wednesday, the French trainer. German is Tuesday, Hindi Monday and Chinese Thursday.

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263.

Each of A, B, C, D, E and F has birthdays on a different day of a week starting from Monday and ending on Saturday of the same week.
A has birthday on Thursday.
Only C has birthday before F.
B has birthday immediately after D.
Who has birthday on Wednesday?

Exam Year(s)

DSSSB PGT - 2023,

Answer: D

E has the birthday on Wednesday. The days run Monday to Saturday. Only C has a birthday before F, so C is on Monday and F is on Tuesday. A is on Thursday. The remaining days, Wednesday, Friday and Saturday, belong to B, D and E. B comes immediately after D, so D and B take Friday and Saturday in that order, leaving Wednesday for E. F is on Tuesday, D on Friday and B on Saturday, so none of these can be Wednesday.

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264.

There are four boxes, i.e. P, Q, R and S, which are kept one above the other but not necessarily in the same order. The boxes are of different colours, i.e. White, Red, Black and Brown, but not necessarily in the same order.
Only two boxes are kept between box P, which is Brown in colour, and the Black coloured box.
Brown coloured box is not kept at the top.
There is one box kept between box Q and the Red coloured box.
Box R is not of White colour.
Which of the following is the colour of box S?

Exam Year(s)

DSSSB PGT - 2023,

Answer: A

S is White. Only two boxes lie between the Brown box P and the Black box, so they are at the two ends. Brown is not at the top, so Black is on top and P is at the bottom. One box lies between Q and the Red box, so Q is the top Black box and the Red box is third.

White is then second. R is not White, so R is the Red box, and the remaining box S is White. Black, Brown and Red belong to Q, P and R.

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265.

There are six persons, A, B, C, D, E and F. They are born in different years.
There is a difference of 1 year between D and F.
F is the youngest.
Two persons are born between A and E.
B is older than C and A.
Who is the oldest?

Exam Year(s)

DSSSB PGT - 2023,

Answer: C

E is the oldest. F is the youngest in position 6, and D differs from F by one year, so D is fifth. Two persons between A and E mean that they are at positions 1 and 4, since 2 and 5 or 3 and 6 are not possible with D at 5 and F at 6.

B is older than A, so A cannot be first. Then A is fourth and E is first. B and C fill the second and third places with B older than C. So E is the oldest, and A, B and C are not.

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266.

Each of K, L, M, N, O and P has to join a meeting on a different day of a week starting from Monday and ending on Saturday of the same week. Only M has to join the meeting before O. K has to join the meeting on Wednesday. L has to join the meeting on one of the days after P. Only one person has to join the meeting between L and P. Who has to join the meeting on Friday?

Exam Year(s)

DSSSB PGT - 2023,

Answer: A

N joins the meeting on Friday. Number the days Monday 1 to Saturday 6. ‘Only M has to join the meeting before O’ means M is the only person who comes before O, so M is on Monday and O is on Tuesday. K is on Wednesday. That leaves Thursday, Friday and Saturday for N, P and L.

L joins after P with exactly one person between them, so P and L must be two days apart. Among Thursday, Friday and Saturday the only such pair is Thursday and Saturday, with P on Thursday and L on Saturday. N is left with Friday. P, L and O are therefore all on other days, which rules out options B, C and D.

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267.

Five children – P, Q, R, S and T – live on five different floors (numbered 1 to 5) of a building but not necessarily in the same order. Each one of them has got different marks in a test – 35, 56, 72, 81 and 93 – but not necessarily in the same order. R lives on an even numbered floor but not floor number 2 and did not get 72 marks. S lives on the floor immediately above Q. Two children live between R and the one who got 93 marks. One child lives between the ones who got 93 and 56 marks, respectively. Q got the highest marks and T got 35 marks. Who got 72 marks?

Exam Year(s)

DSSSB PGT - 2023,

Answer: B

S got 72 marks. R lives on an even floor that is not 2, so R is on floor 4. Two children live between R and the one with 93 marks, so the 93-mark child is on floor 1. One child lives between the 93-mark and 56-mark children, so 56 marks belong to the child on floor 3. Q got the highest marks, 93, so Q is on floor 1, and S lives immediately above Q on floor 2. T got 35 marks.

The remaining children P and T take floors 3 and 5. The 56-mark child is on floor 3 and T has 35, so T is on floor 5 and P is on floor 3 with 56. R on floor 4 did not get 72, so R has 81, and the last mark, 72, goes to S. P, T and Q hold 56, 35 and 93, so options A, C and D are wrong.

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268.

Six boxes, C, D, E, F, G and H, are kept one above another. The topmost position is the first and bottom-most position is the last. Three boxes are between D and C, where D is placed at the second last position. Four boxes are kept between C and G. One box is kept between D and E. Box F is above H. How many boxes are between F and D?

Exam Year(s)

DSSSB PGT - 2023,

Answer: B

Two boxes lie between F and D. Number the positions 1 to 6 from the top. D is second last, so D is 5. Three boxes are between D and C, so C is 1. Four boxes are between C and G, so G is 6. One box is between D and E, so E is 3. The remaining positions 2 and 4 go to F and H, and F is above H, so F is 2 and H is 4.

Between F (2) and D (5) are positions 3 and 4, so two boxes. One and three miscount that gap, and zero would need F and D to be adjacent.

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269.

Six students, Divya, Monika, Nitu, Saanvi, Tania and Yashika, are born in different years - 1990, 1993, 1997, 2000, 2002 and 2004. Their ages are with respect to the current year, i.e. 2023, same month and same date. There is a 14-year difference between Nitu and Monika. Monika was born before 1993. Divya is 5 years older than Tania. Saanvi is 3 years younger than Monika. Yashika was born in which year?

Exam Year(s)

DSSSB PGT - 2023,

Answer: A

Yashika was born in 2000. Nitu and Monika are 14 years apart and Monika was born before 1993, so Monika is 1990 and Nitu is 2004. Saanvi is 3 years younger than Monika, so Saanvi is 1993. The years left are 1997, 2000 and 2002. Divya is 5 years older than Tania, which fits only 1997 and 2002, so Divya is 1997 and Tania is 2002. That leaves 2000 for Yashika.

1993 is Saanvi's year, 2002 is Tania's and 1997 is Divya's.

A check on the years: Nitu (2004) is 14 years younger than Monika (1990), Saanvi (1993) is 3 years younger than Monika, and Divya (1997) is 5 years older than Tania (2002).

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270.

Six people, Aarush, Bindu, Cheema, Deepanshu, Gopal and Harish, live on the different floors of a building but not necessarily in the same order. The bottom-most floor is numbered 1 and the topmost floor is numbered 6. All are living on different floors. Bindu lives just below Cheema and both are living above floor number 4. Cheema lives three floors above Aarush, who is not adjacent to Deepanshu. Gopal lives two floors below Harish. Which of the following statements is true?

Exam Year(s)

DSSSB PGT - 2023,

Answer: D

Only four persons live between Cheema and Deepanshu. Bindu is just below Cheema and both are above floor 4, so Bindu is on 5 and Cheema on 6. Cheema is three floors above Aarush, so Aarush is on 3. Gopal is two floors below Harish; of the free floors 1, 2 and 4 the only pair two apart is Gopal on 2 and Harish on 4, which leaves Deepanshu on 1, not adjacent to Aarush as required. Floors 2, 3, 4 and 5 lie between 1 and 6, so four persons live between Cheema and Deepanshu. Harish is two floors, not one, above Gopal. Aarush (3) is not just above Bindu (5), and only one person (on floor 4) lives between Aarush and Bindu.

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