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Bank & Government Exams Quiz-1
Bank & Government Exams Quiz-2
Q 1. The number of factors of 360 is:
- 30
- 12
- 24
- 15
Answer: B
Solution 1: 360 = 2^{3 }* 3^{2} * 5^{1}
Hence number of factors = (3+1) * (2+1) * (1+1)
= 4 * 3 * 2
= 24
Q 2. Find the sum of factors of 40
- 80
- 90
- 75
- 60
Answer: B
Solution 2:
40 = 2^{3 }Ã— 5^{1}
Sum of factors = [(2^{(3+1)} – 1) Ã— (5^{(1+1)} – 1)] / [ (2-1) Ã— (5-1) ]
= (15 Ã— 24) / (1 Ã— 4)
= 90
Q 3. Total number of odd factors of 75 is
- 8
- 10
- 12
- 16
Answer: A
Solution 3:
75 = 5^{3} Ã— 3^{1}
Hence number of odd factors = (3+1)Ã— (1+1)
= 8
Q 4. If p! – p = p, then the value of p is:
- 3
- 5
- 2
- 7
Answer: A
Solution 4:
Best way to solve this question is through options
3! – 3 = 6-3 =3
Q 5. If a, b are the positive integers (b> 1) such that a^{ b} = 121, then the value of (a – 1) ^{b+1} is
- 1200
- 1000
- 1500
- 2000
Answer: B
Solution 5:
We can see that, a^{b} = 121
b>1
Hence (11)^{2 }= 121
a= 11, b=2
(a – 1) ^{b+1} = (11-1) ^{2+1} = 10^{3 } = 1000
Q 6. Find the number of rectangles in the following figure
- 45
- 100
- 80
- 35
Answer: B
Solution 6
Logic: Number of rectangles in a square of side n * n side = 1^{3 }+^{ }2^{3} + 3 ^{3 }+…..+n ^{3}
Hence, in the above question
1^{3} + 2^{3} + 3^{3} + 4^{3} = 1 + 8 + 27 + 64 = 100 rectangles
Q 7. Divide 120 into 3 parts such that first part be double that of second part and the second part be (â…“)^{rd} of the third part. What is the third part?
- 60
- 50
- 25
- 100
Answer: A
Solution 7:
A:B = 2:1
B:C= 1:3
A:B:C = 2:1:3
C = 120 Ã— (3/6) = 60
Q 8: Find the units digit of the expression:27 Ã— 32 Ã— 46 Ã— 54 Ã— 17 Ã— 21 Ã— 63
- 7
- 6
- 8
- 9
Answer: B
Solution 8:
27 Ã— 32 Ã— 46 Ã— 54 Ã— 17 Ã— 21 Ã— 63
The units digit of an expression can be calculated by getting the remainder while the expression is divided by 10.
Hence, we try to find the remainder
= (27 Ã— 32 Ã— 46 Ã— 54 Ã— 17 Ã— 21 Ã— 63) / 10
Remainder of 27/10 = 7
Remainder of 32/10 = 2
Remainder of 46/10 = 6
Remainder of 54/10 = 4
Remainder of 17/10 = 7
Remainder of 21/10 = 1
Remainder of 63/10 = 3
Hence, we find remainder of (7 Ã— 2 Ã— 6 Ã— 4 Ã— 7 Ã— 1 Ã— 3) / 10
Remainder of (14 Ã— 24 Ã— 21) / 10
Remainder of 14/10 = 4
Remainder of 24/10 = 4
Remainder of 21/10 = 1
Hence we find remainder of (4Ã—4Ã—1)/10 = Remainder of 16/10 = 6
Hence the unit digit of the expression 27 Ã— 32 Ã— 46 Ã— 54 Ã— 17 Ã— 21 Ã— 63 = 6
Shorter method: Directly find the Units digit by multiplying 7 Ã— 2 Ã— 6 Ã— 4 Ã— 7 Ã— 1 Ã— 3 and only accounting for Units digit.
Q 9. Find the unit digit of (52)^{97} Ã— (73)^{72}
- 2
- 4
- 6
- 8
Answer: A
Solution 9: Find the unit digit of 2^{97} * 3^{72}
= 2^{4(24)} * 2
Unit digit of 2^{4} = 6
Unit digit of 6 * 2 = 2
= 3^{4(24)}
Unit digit of 3^{4} = 1
Hence unit digit of expression = 2 * 1 = 2
Directions (10-14):
7 persons namely A, B, C, D, E, F and G visit a movie palace having 3 screens (Screen 1,2, and 3). Each of them studies different courses namely MCA, BCA, MBA, BBA, BE, B.Tech, and M.Tech, but not necessarily in the same order. Out of these, 2 persons are watching a movie on screen 1, three are watching on screen 2, and two are watching on screen 3.
A studies MCA but is not watching the movie on screen 3. The person, who studies MBA, is the only one, who is watching the movie on the same screen, in which A is watching. B and F are not watching the movie on screen 2, and they study M.Tech and BE respectively. C studies BBA. G neither studies MBA nor B.Tech. The person E is watching the movie on the same screen, in which the person who studies at BCA is watching.
Q 10. Which course does D study?
- BBA
- B.Tech
- MBA
- BE
- MCA
Answer: C
According to the information given, the relationship between persons, courses and screens are shown in the table.
Solution 10
Person |
Course |
Movie Screen |
A |
MCA |
Screen 1 |
B |
M.Tech |
Screen 3 |
C |
BBA |
Screen 2 |
D |
MBA |
Screen 1 |
E |
B.Tech |
Screen 2 |
F |
BE |
Screen 3 |
G |
BCA |
Screen 2 |
Q 11. Who studies BCA?
- B
- C
- D
- A
- G
Answer: E
Solution 11:
From the above table, we can find that G studies BCA
Q 12. Which of the following group of persons is watching a movie on screen 2?
- C, D and E
- G, D and C
- D, E and C
- G, C and E
- E, G and D
Answer: D
Solution 12.
From the above table, we can find G, C and E are watching the movie on screen 2.
Q 13. Which of the following is the correct combination?
- B – MCA – Screen 2
- C- BBA – Screen 2
- G – B.Tech – Screen 3
- F – BE- Screen 2
- B – BCA – Screen 1
Answer: B
Solution 13:
From the above table, we can find that correct combination is C-BBA-Screen 2.
Q 14. Who studies M.Tech and is watching a movie on screen 3?
- B
- G
- E
- F
- A
Answer: B
Directions (15-19):
7 friends P, Q, R, S, T, U and V are studying different subjects, such as Hindi, English, Physics, Biology, Science, Maths and Chemistry, but not necessarily in the same order. All of them attend different lectures on various days a week from Monday to Sunday. Out of the seven, there are three female members.
R is the sister of T, studies biology and attends the lecture on Wednesday. T, the wife of U, studies Physics and attends the lecture on Friday. One who studies English attends the lecture on Tuesday and is also a female member. Q and U attend the lectures on Tuesday and Saturday respectively. One who attends the lecture on Sunday studies Science. P attends the lecture on Monday but the subject is neither Hindi nor Physics. S attends the lecture on Chemistry on Thursday.
Q 15. —— attends the lecture on Tuesday and —— attends the lecture on Sunday.
- V; Q
- Q; P
- V; U
- P; Q
- None of these
Answer: E
Solution 15:
Day |
Person |
Gender |
Subject |
Monday |
P |
Male |
Maths |
Tuesday |
Q |
Female |
English |
Wednesday |
R |
Female |
Biology |
Thursday |
S |
Male |
Chemistry |
Friday |
T |
Female |
Physics |
Saturday |
U |
Male |
Hindi |
Sunday |
V |
Male |
Science |
From the table, we can see that Q attends the lecture on Tuesday and V on Sunday.
Q 16. Who represents the group of female members?
- P, Q and R
- R, T and V
- Q, R and U
- Q, R and T
- Other than given options
Answer: D
Solution 16:
According to the table, Q, R and T represent the group of female members.
Q 17. P attends the lecture of —— on ——-
- Maths, Tuesday
- Hindi, Saturday
- English, Tuesday
- Hindi, Friday
- Maths, Monday
Answer: E
Solution 17:
According to the table, P attends the lecture of Maths on Monday.
Q 18. Who attends the lecture of Hindi?
- U
- V
- Q
- Either (1) or (2)
- Other than given options
Answer: A
Solution 18:
According to the arrangement, U attends the lecture of Hindi on Saturday.
Q 19. Lecture of ——- was arranged on Monday and lecture of ——- was arranged on Saturday.
- Hindi, Maths
- Maths, Science
- Hindi, English
- Biology, Chemistry
- Other than given options
Answer: E
Solution 19:
According to the arrangement, the lecture of Maths is arranged on Monday and lecture of Hindi is arranged on Saturday.
Directions (20-24):
Rearrange the following sentences P, Q, R, S, T, U and V in a proper sequence so as to form a meaningful paragraph, then answer the questions given below them. The paragraph starts with the sentence P and ends with the sentence V. The positions of both P and V are fixed.
P. An earthquake rocked Indonesia in September 2018. More than 4000 peoples lives were lost and it is estimated that over 600 people were missing. Most of the people lost their lives having been buried under the debris of buildings that collapsed.
Q. Heat is continuously produced in the depths of the earth. The resultant heat produces convection currents in the molten rocks.
R. As the current rises unabated, it causes fractures in the crust. The crust is divided into various segments.
S. These segments have been continuously moving away from each other and then moving towards each other. As the plates move towards each other, they start colliding.
T. The earthquake had its epicentre at Minahasa Peninsula in the region of Sulawesi. Most of the damage was caused in the immediate surroundings of the epicentre.
U. An earthquake is caused by vibration generated in Earths crust.
V. The stress caused by collision causes leads to vibration of the earthâ€™ crust. We call this shaking and trembling of the surface of the earth as Earthquake.
Q 20. Which of the following should be the sixth sentence?
- Q
- S
- R
- U
- T
Answer: B
Q 21. Which of the following should be the fourth sentence?
- R
- T
- U
- S
- Q
Answer: E
Q 22. Which of the following should be the fifth sentence?
- Q
- R
- T
- S
- U
Answer: B
Q 23.Which of the following should be the second sentence?
- U
- Q
- T
- R
- S
Answer: C
Q 24. Which of the following should be the third sentence?
- R
- S
- Q
- U
- T
Answer: D
Q 25. What is the Synonym of the word mentioned in the bold
Obdurate
- Stubborn
- Amenable
- Malleable
- Tractable
Answer: A
Q 1. 2 alarm clocks ring their alarms in at regular intervals of 60 seconds and 40 seconds. If they first beep together at 1 noon, at what time will they beep again.
- 1:20 PM
- 1:02 PM
- 1:05 PM
- 1:40 PM
Answer: B
Solution 1: LCM of 60 and 40 is 120. The 2 clocks will ring again after 120 seconds.
Q 2. 3 bells toll together at 10:00 AM. They toll after 6, 8,10 seconds respectively. How many times will they toll together again in the next 1 hour?
- 30
- 15
- 25
- 40
Answer: A
Solution 2: LCM of 6, 8, 10 is 120.
No of time they will toll together in 1 hour = (3600/120) = 30 times
Q 3. On MG Road, 3 consecutive traffic lights change after 20, 40 and 72 seconds. If the lights are switched on at 10:00 AM, at what time will they change simultaneously?
- 10: 05 AM
- 10:10 AM
- 10:06 AM
- 11:00 AM
Answer: C
Solution 3: The LCM of 20,40 and 72 seconds is 360.
Hence 360/60 = 6 minutes.
They will change simultaneously after 6 minutes.
Q. 4 2 equilateral triangles have sides of lengths 32 m and 80 m respectively. The greatest length of tape that measure both of them exactly is?
- 16
- 24
- 8
- 7
Answer: A
Solution 4: HCF of 32 and 80 is 16 m.
Hence the greatest length of tape that can measure both of them is 16 m.
Q 5. 2 varieties of rice at Rs 10/kg and Rs 15/kg are mixed in the ratio 3:2. Find the average price of the resulting mixture.
- 12
- 15
- 20
- 16
Answer: A
Solution 5:
(3/2) = (15-A_{w}) / (A_{w }– 10)
3 A_{w} – 30 = 30 – 2 A_{w}
5 A_{w} = 60
A_{w} = Rs 12/Kg
Q 6. If a varies inversely as b^{3} – 1 and is equal to 3 when b=2, find a when b=4
- â…“
- Â¼
- â…”
- 1
Answer: A
Solution 6:
a= k/(b^{3} – 1)
k= 3 * 7 = 21
When b= 4, equation becomes a = 21/ (4^{3} – 1)
= 21/63 = 1/3
Q 7. If a varies as b, and b=4 when a=12, find a when b = 15
- 65
- 46
- 45
- 10
Answer: C
Solution 7:
a= kb
12= 4k
k=3
Hence, a= 3 * b
When b= 15, a= 3 * 15 = 45
Q 8. If a varies as b directly, and as c inversely, and a=12, when b=3, find c when a=4, b=5
- Â½
- 1/7
- Â¾
- Cannot determine
Answer: D
Solution 8:
a=kb/c
We cannot determine the value of k from the given information and hence cannot answer the question.
Q 9. If 3a^{2} + 3b^{2} = 10 ab, what is the ratio of a to b?
- 1:4
- 4:1
- 1:3
- 3:1
Answer: C
Solution 9:
Short cut Tip: Use options to solve the problem
Direction (10-11): Solve the analogy
Q 10. Plumber: Wrench
- Captain: Ship
- Loco Pilot: train
- Carpenter: Hammer
- Pilot: Airplane
Answer: C
Solution 10:
The plumber uses a wrench as a tool. Carpenter uses a hammer as a tool. In the rest of the options captain, loco pilot, the pilot does not use them as a tool to finish a job.
Q 11. Fencing: Sabre
- Shooting: Pistol
- Archery: Recurve
- Baseball: Bat
- Judo: Ippon
Answer: D
Solution 11:
Judo is just a hand combat sport, equipment is not used in this sport.
Directions (12-16): Choose the synonyms of the words given in Bold.
Q 12. Connoisseur
- Canonise
- Callow
- Ghastly
- An expert judge of
Answer: D
Q 13. Bulwark
- Bucolic
- Brusque
- Burnish
- A Defence
Answer: D
Q 14. Cabal
- A group of plotters
- A group of immature
- Cadence
- Resonant
Answer: A
Q 15. Cozen
- To cheat
- Counterbalance
- Contingent
- Outward behaviour
Answer: A
Q 16. Console
- Give comfort
- Despise
- Guesswork
- Discordant
Answer: A
Directions (17-18): Fill in the blanks with appropriate word
Q 17. Government of India decided to ————— Article 370
- Abandon
- Abrogate
- Accede
- Exceed
Answer: B
Q 18. Garibaldi, meanwhile, met his former hero Mazzini for the first time, and again the encounter was ——–
- Frosty
- Convivial
- Genial
- Affable
Answer: A
Directions (19-22):
Study the following information carefully and answer the questions given below:
J, K, L, M, N, O, P and R are sitting around a circular table facing the centre. Each of them was born in a different year – 1971, 1975, 1979, 1980, 1981, 1984, 1985, and 1990; but not necessarily in the same order.
M is sitting to the right of K. L is sitting third to the right of J. Only the one born in 1984 is sitting exactly between J and K. N, who is the eldest is not an immediate neighbor of J and M. R is older than only M. R is sitting second to the left of P. P is not an immediate neighbor of N. J is younger than L and O. K was born before O, but he is not the second eldest.
Q 19. Who is the second eldest in the group?
- J
- L
- K
- P
- O
Answer: B
Solution 19:
Q 20. Who is sitting third to the right of O?
- The one born in 1979
- The one born in 1980
- The one born in 1985
- The one born in 1984
- The one born in 1985
Answer: E
Solution 20:
From the figure, J is sitting third to the right of O. J was born in 1985.
Q 21: In which year was R born?
- 1979
- 1975
- 1980
- 1985
- 1981
Answer: D
Q 22. Which of the following statements is true regarding K?
- K is sitting third to the right of R.
- The one who was born in 1975 is to the immediate left of K.
- K is younger than R
- There are 4 people sitting between N and K
- K sits to the immediate right of J
Answer: A
Directions (23-25): In each of the following questions, various terms of an alphabet series are given with one or more terms missing as shown by (?). Choose the missing terms out of the given alternatives.
Q 23. V, C, J, Q, X,?
- E
- F
- Q
- Z
Answer: A
Solution 23:
V –+7 —> C —+7—-> J —+7—-> Q—+7—> X—+7—>E
Q 24. BZ, DX, GU,?
- IR
- IV
- KQ
- KP
Answer: C
Solution 24:
1st letter: B —+2—> D—+3—>G—+4—>K
2nd letter: Z–(-2) —>X—(-3)—>U–(-4)–>Q
Q 25. PME, OOD, NQC, MSB,?
- LUA
- LVP
- LVR
- LWP
Answer: A
Solution 25:
1st letter: P –(-1)–> O –(-1)–N–(-1)–>M–(-1)–>L
2nd letter: M –(+2)–>O–(+2)–>Q–(+2)–>S–(+2)–>U
3rd letter: E–(-1)–>D—(-1)–>C–(-1)–>B–(-1)–>A
The free online quiz comprises 25 questions for the three main topics :
- Reasoning Ability
- Quantitative Aptitude
- Verbal Ability
These quizzes will be helpful for candidates appearing for all bank, SSC and other government exams.
The solution for the questions in the quiz is also given for candidates to check their answers and analyse their mistakes, if any.
The questions have been made keeping in mind the exam pattern for all government exams and by analysing the previous year question papers.
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The subjects included in the quiz are common for all bank, SSC and government exams. By attempting these online quizzes on government exams, candidates will be in regular practise for appearing in an exam.
For best results, candidates must complete the online quiz in the stipulated time, so as to match up to the speed required for the actual exam.