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Puzzle Test Questions and Answers

Important Instructions
1.

In a group of six women, there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailja do not know how to play on the vilion. Shailja and Tanuja are among the dancer. Jalaja, Vanaja, Shailja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is both a dancer and a violinist ?

Exam Year(s)

MP Lab Technician - 2015,

Answer: C

The four vocal musicians and one actress in the group are given. Two dancers are Shailja and Tanuja. Two violinists are Girija and Vanaja. Since Jalaja and Shailja cannot be violinists. so, remaining two violinists are Tanuja and Pooja.
Clearly, Tanuja is both a violinist andd a dancer.

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2.

Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. The boxes beside each city name describe the starting time of first train of the day and their frequency of operation. For example, from city P, the first trains of the day start at 8 AM with a frequency of 90 minutes to each of R and S. A person does not spend additional time at any city other than the waiting time for the next connecting train.

If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?

One-way routes Q to P, P to R, P to S, R to Q, S to Q and S to R. First train and frequency: P 8 AM every 90 min, Q 5 AM every 120 min, R 7 AM every 60 min, S 8 AM every 45 min

Exam Year(s)

GATE AE - 2022,

Answer: A

The minimum time is 6 hours 30 minutes.

The routes are one-way: from R the only train goes to Q, from Q only to P, from P to R or S, and from S to Q or R. So the trip must go R, Q, P, S and back to R.

  1. Leave R at 7:00 (first train), reach Q at 8:00.
  2. Q's trains leave at 5:00, 7:00, 9:00 ..., so leave at 9:00 and reach P at 10:00.
  3. P's trains leave at 8:00, 9:30, 11:00 ..., so leave at 11:00 and reach S at 12:00.
  4. S's trains leave every 45 minutes from 8:00: ... 11:45, 12:30. Leave at 12:30 and reach R at 13:30.

From 7:00 to 13:30 is 6 hours 30 minutes. The shorter options count only the 4 hours of travel plus part of the waiting; every connection above is the first one available, so no faster trip exists.

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3.

Reshma, Kirti, Ashima and Jhanvi are students of a school. Three of them come by bus and one by car to the school. Two study in class VII, one in class VIII and one in class IX. They study Hindi, Mathematics, Social Science and Science. One is good at all the four subjects while another is weak in all of these. Reshma comes by bus to the school and is good at Mathematics only while Kirti is weak in Mathematics only and comes by car to the school. Neither of these two nor Ashima studies in Class IX. One who is good at all the subjects studies in class VIII.

Which two girls are good at Hindi ?

Exam Year(s)

CBSE Assistant Secretary - 2024,

Answer: B

The girls good at Hindi are Kirti and Ashima.

Reshma is good at Mathematics only, and Kirti is weak in Mathematics only, so neither is the girl good at all four subjects or the girl weak in all four. Those two must be Ashima and Jhanvi.

Reshma, Kirti and Ashima do not study in class IX, so Jhanvi is in class IX. The girl good at all subjects studies in class VIII, so she is not Jhanvi: she is Ashima, and Jhanvi is weak in all subjects.

Good at Hindi: Ashima (good at everything) and Kirti (good at everything except Mathematics). Reshma is good at Mathematics only, and Jhanvi is weak in all.

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4.

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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5.

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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6.

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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7.

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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8.

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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9.

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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10.

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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