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- Question
Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is
Options- A. 18
- B. 22
- C. 42
- D. 43
- Correct Answer
- 43
ExplanationNumbers from 1 to 60, which are divisible by 6 are : 6,12,18, 24, 30, 36,42, 48, 54, 60.There are 10 such numbers.
Numbers from 1 to 60, the sum of whose digits is 6 are : 6, 15, 24, 33, 42, 51, 60.
There are 7 such numbers of which 4 are common to the above ones. So, there are 3such uncommon numbers.
Numbers from 1 to 60, which have 6 as one of the digits are 6, 16, 26, 36, 46, 56, 60.
Clearly, there are 4 such uncommon numbers.
So, numbers 'not connected with 6' = 60 - (10 + 3 + 4) = 43.
More questions
- 1. NA
Options- A. Peak
- B. Mountain
- C. Hillock
- D. Valley Discuss
Correct Answer: Valley
Explanation:
Expect 'Valley' all are peaks.
- 2. NA
Options- A. 144
- B. 169
- C. 196
- D. 210 Discuss
Correct Answer: 210
Explanation:
Except 210, all other are square of some numbers.
- 3. _ bc _ ca _ aba _ c _ ca
Options- A. abcbb
- B. bbbec
- C. bacba
- D. abbec Discuss
Correct Answer: abcbb
Explanation:
The series is abc/bca/cab/abc/bca, Thus, the letters change places in a cyclic order.- 4. 68 : 130 : : :? : 350
Options- A. 210
- B. 216
- C. 222
- D. 240 Discuss
Correct Answer: 222
Explanation:
pattern is (a3 + a)
- 5. 380, 188, 92, 48, 20, 8, 2
Options- A. 8
- B. 20
- C. 48
- D. 188 Discuss
Correct Answer: 48
Explanation:
Pattern is : - 192, - 96, - 48, - 24, -12, - 6
- 6. 4, 5, 12, 38, 160, 805, 4835
Options- A. 12
- B. 160
- C. 38
- D. 805 Discuss
Correct Answer: 38
Explanation:
The series is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4, x 5 + 5, x 6 + 6.
The wrong no. is 38; 12 x 3 + 3 = 36 + 3 = 39- 7. Illustration 1. College is related to student in the same way as Hospital is related to.....
Options- A. Doctor
- B. Nurse
- C. Medicine
- D. Patient Discuss
Correct Answer: Patient
Explanation:
In the collage, education is given to students, in the same way treatment given to patient in hospital.
- 8. Statement
Unable to manage with the present salary, Tarun joined another company.
Assumptions
I. The new company has better work environment.
II. The present company offers moderate pay packet.
III. The new company offers higher salary to the all its employees.
Options- A. All are implicit
- B. None is implicit
- C. Only II is implicit
- D. II and III are implicit Discuss
Correct Answer: Only II is implicit
Explanation:
Tarun has left the company due to the meagre salary. Hence, Assumption II is implicit. However, we cannot say anythings about the work environment and salary of all other employees from this.
- 9. A car must have
Options- A. Driver
- B. Bonnet
- C. Dicky
- D. Bumper Discuss
Correct Answer:
Explanation:
No car can run without wheels.
- 10. NA
Options- A. Wood
- B. Stone
- C. Tree
- D. Engine Discuss
Correct Answer: Engine
Explanation:
'Engine' is made by man, rest all are natural.
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