CTS Placement Papers - Wikitechy https://www.wikitechy.com/interview-questions/tag/cts-placement-papers/ Interview Questions Mon, 20 Sep 2021 11:02:05 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png CTS Placement Papers - Wikitechy https://www.wikitechy.com/interview-questions/tag/cts-placement-papers/ 32 32 Statement : America’s defense secretary reiterated that they would continue to supply arms to Pakistan https://www.wikitechy.com/interview-questions/statement-and-conclusion/statement-americas-defense-secretary-reiterated-that-they-would-continue-to-supply-arms-to-pakistan/ https://www.wikitechy.com/interview-questions/statement-and-conclusion/statement-americas-defense-secretary-reiterated-that-they-would-continue-to-supply-arms-to-pakistan/#respond Wed, 18 Aug 2021 18:02:32 +0000 https://www.wikitechy.com/interview-questions/?p=2410 In the below question given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

  1. If only conclusion I follows
  2. If only conclusion II follows
  3. If either I or II follows
  4. If neither I nor II follows and
  5. If both I and II follow.

Statement :
America’s defense secretary reiterated that they would continue to supply arms to Pakistan
Conclusions :
I. Pakistan is incapable of manufacturing arms.
II. it would ensure peace in the region.

A. If only Conclusion I followst

B. If only Conclusion II follows

C. If either I or II follows

D. If neither I nor II follows

Answer : D. If neither I nor II follows

Explanation:

Pakistan’s ability to manufacture arms is not being talked about in the statement. So Conclusion I does not follow. The fact Conclusion II cannot be deduced from the statement. So, Conclusions II also doesn’t follow

]]> https://www.wikitechy.com/interview-questions/statement-and-conclusion/statement-americas-defense-secretary-reiterated-that-they-would-continue-to-supply-arms-to-pakistan/feed/ 0 Statements : (I) Education is a process of lighting. (II) Mind requires light to enlighten the core of cognitive aspect. https://www.wikitechy.com/interview-questions/statement-and-conclusion/statements-i-education-is-a-process-of-lighting-ii-mind-requires-light-to-enlighten-the-core-of-cognitive-aspect/ https://www.wikitechy.com/interview-questions/statement-and-conclusion/statements-i-education-is-a-process-of-lighting-ii-mind-requires-light-to-enlighten-the-core-of-cognitive-aspect/#respond Wed, 18 Aug 2021 18:00:39 +0000 https://www.wikitechy.com/interview-questions/?p=2409 In the below question given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

  1. If only conclusion I follows
  2. If only conclusion II follows
  3. If either I or II follows
  4. If neither I nor II follows and
  5. If both I and II follow.

Statements :
I. Education is a process of lighting.
II. Mind requires light to enlighten the core of cognitive aspect
Conclusions :
I. Education is a light which removes the darkness of mind.
II. Education is a static process for mind .

A. Only Conclusion I follows

B. Only Conclusion II follows

C. Both Conclusions I and II follow

D. Neither Conclusion I nor II follows

Answer : A. Only Conclusion I follows

]]> https://www.wikitechy.com/interview-questions/statement-and-conclusion/statements-i-education-is-a-process-of-lighting-ii-mind-requires-light-to-enlighten-the-core-of-cognitive-aspect/feed/ 0 Statement : People, who speak too much against corruption are those who had taken it themselves. https://www.wikitechy.com/interview-questions/statement-and-conclusion/statement-people-who-speak-too-much-against-corruption-are-those-who-had-taken-it-themselves/ https://www.wikitechy.com/interview-questions/statement-and-conclusion/statement-people-who-speak-too-much-against-corruption-are-those-who-had-taken-it-themselves/#respond Wed, 18 Aug 2021 17:59:20 +0000 https://www.wikitechy.com/interview-questions/?p=2408 In the below question given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

  1. If only conclusion I follows
  2. If only conclusion II follows
  3. If either I or II follows
  4. If neither I nor II follows and
  5. If both I and II follow.

Statement :
People, who speak too much against corruption are those who had taken it themselves
Conclusions :
I. It is easier for those to speak who have done it.
II. People have double standards ?

A. If only Conclusion I follows

B. If only Conclusion II follows

C. If neither Conclusion I nor II follows

D. If both Conclusions I and II follows

Answer : D. If both Conclusions I and II follows

]]> https://www.wikitechy.com/interview-questions/statement-and-conclusion/statement-people-who-speak-too-much-against-corruption-are-those-who-had-taken-it-themselves/feed/ 0 Statement : Declaration of the strike by teachers at the time of paper evaluation has become an incurable disease and a great threat to the government ? https://www.wikitechy.com/interview-questions/statement-and-conclusion/statement-declaration-of-the-strike-by-teachers-at-the-time-of-paper-evaluation-has-become-an-incurable-disease-and-a-great-threat-to-the-government/ https://www.wikitechy.com/interview-questions/statement-and-conclusion/statement-declaration-of-the-strike-by-teachers-at-the-time-of-paper-evaluation-has-become-an-incurable-disease-and-a-great-threat-to-the-government/#respond Wed, 18 Aug 2021 17:57:36 +0000 https://www.wikitechy.com/interview-questions/?p=2407 In the below question given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

  1. If only conclusion I follows
  2. If only conclusion II follows
  3. If either I or II follows
  4. If neither I nor II follows and
  5. If both I and II follow.

Statement :
Declaration of the strike by teachers at the time of paper evaluation has become an incurable disease and a great threat to the government.
Conclusion :
I. Paper evaluation is the most important business of teachers.
II. Teachers are always in search of an opportunity to get their demands fulfilled ?

A. If only conclusion I follows

B. If only conclusion II follows

C. If either I or II follows

D. If neither I nor II follows

E. If both I and II follow

Answer : E. If both I and II follow

Explanation:

Why do teachers declare their strike only at the time of paper evaluation ?
It can be concluded that paper evaluation is the most important business of teachers. Hence I follows.
The phrase incurable disease used in the statement confirms II. Hence II follows.

]]> https://www.wikitechy.com/interview-questions/statement-and-conclusion/statement-declaration-of-the-strike-by-teachers-at-the-time-of-paper-evaluation-has-become-an-incurable-disease-and-a-great-threat-to-the-government/feed/ 0 Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate Four-fifth of the villagers is below twenty-five. Then, which one of the following is certainly true ? https://www.wikitechy.com/interview-questions/statement-and-conclusion/half-of-the-villagers-of-a-certain-village-have-their-own-houses-one-fifth-of-the-villagers-cultivate-paddy-one-third-of-the-villagers-are-literate-four-fifth-of-the-villagers-is-below-twenty-five/ https://www.wikitechy.com/interview-questions/statement-and-conclusion/half-of-the-villagers-of-a-certain-village-have-their-own-houses-one-fifth-of-the-villagers-cultivate-paddy-one-third-of-the-villagers-are-literate-four-fifth-of-the-villagers-is-below-twenty-five/#respond Wed, 18 Aug 2021 17:56:10 +0000 https://www.wikitechy.com/interview-questions/?p=2406 In the below question given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

  1. If only conclusion I follows
  2. If only conclusion II follows
  3. If either I or II follows
  4. If neither I nor II follows and
  5. If both I and II follow.

Statements :
Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate Four-fifth of the villagers is below twenty-five. Then, which one of the following is certainly true ?
Conclusions :
I. All the villagers who have their own houses are literate
II. Some villagers under twenty-five are literate
III. A quarter of the villages who have their own houses cultivate paddy
IV. Half of the villagers who cultivate paddy are literate

A. If only Conclusion I follows

B. If only Conclusion II follows

C. If either I or II follows

D. If neither I nor II follows

Answer : B. If only Conclusion II follows

Explanation:

As per the given information, Own house = 1/2,
Paddy cultivater = 1/5
Literate = 1/3 and
Below 25 = 4/5
Certainly, the some villagers under 25 are literate as for the given information

]]> https://www.wikitechy.com/interview-questions/statement-and-conclusion/half-of-the-villagers-of-a-certain-village-have-their-own-houses-one-fifth-of-the-villagers-cultivate-paddy-one-third-of-the-villagers-are-literate-four-fifth-of-the-villagers-is-below-twenty-five/feed/ 0 The Education Secretary said that it was extremely necessary that the professional researchers alone with practicing school teachers conduct the practical research. Conclusions ? https://www.wikitechy.com/interview-questions/statement-and-conclusion/the-education-secretary-said-that-it-was-extremely-necessary-that-the-professional-researchers-alone-with-practicing-school-teachers-conduct-the-practical-research-conclusions/ https://www.wikitechy.com/interview-questions/statement-and-conclusion/the-education-secretary-said-that-it-was-extremely-necessary-that-the-professional-researchers-alone-with-practicing-school-teachers-conduct-the-practical-research-conclusions/#respond Wed, 18 Aug 2021 17:53:19 +0000 https://www.wikitechy.com/interview-questions/?p=2405

The Education Secretary said that it was extremely necessary that the professional researchers alone with practicing school teachers conduct the practical research. Conclusions ?

A. Practicing teachers know the techniques of research

B. Professional researchers are quite aware of the problems related to the school education

C. Education secretary was speaking to the school students

D. School education is quite a specialized field and so long as teachers are not trained, the standard of education cannot be qualitatively better

Answer : D. School education is quite a specialized field and so long as teachers are not trained, the standard of education cannot be qualitatively better.

]]> https://www.wikitechy.com/interview-questions/statement-and-conclusion/the-education-secretary-said-that-it-was-extremely-necessary-that-the-professional-researchers-alone-with-practicing-school-teachers-conduct-the-practical-research-conclusions/feed/ 0 A and B are two cars travelling to a destination which is 360 kilometres away. A takes 4 hours to reach the destination. How much time will it take B to reach the destination if the speeds of A and B are in the ratio 9: 12 ? https://www.wikitechy.com/interview-questions/time-and-distance/a-and-b-are-two-cars-travelling-to-a-destination-which-is-360-kilometres-away-a-takes-4-hours-to-reach-the-destination-how-much-time-will-it-take-b-to-reach-the-destination-if-the-speeds-of-a-and-b/ https://www.wikitechy.com/interview-questions/time-and-distance/a-and-b-are-two-cars-travelling-to-a-destination-which-is-360-kilometres-away-a-takes-4-hours-to-reach-the-destination-how-much-time-will-it-take-b-to-reach-the-destination-if-the-speeds-of-a-and-b/#respond Tue, 17 Aug 2021 21:19:07 +0000 https://www.wikitechy.com/interview-questions/?p=1964

A and B are two cars travelling to a destination which is 360 kilometres away. A takes 4 hours to reach the destination. How much time will it take B to reach the destination if the speeds of A and B are in the ratio 9: 12 ?

A. 2.5 hrs

B. 3.5 hrs

C. 4.5 hrs

D. 3 hrs

Answer : D. 3 hrs

Explanation :

9x/12x = 9/12
Time = Distance / Speed
4 = 360/9x
so x = 10
12x = 120
Time taken by car b = 360/120 =3 hour

]]> https://www.wikitechy.com/interview-questions/time-and-distance/a-and-b-are-two-cars-travelling-to-a-destination-which-is-360-kilometres-away-a-takes-4-hours-to-reach-the-destination-how-much-time-will-it-take-b-to-reach-the-destination-if-the-speeds-of-a-and-b/feed/ 0 Dustin is driving his car at speed of 50 kilometres per hour. He going to Texas which is located 345 kilometres from his starting point. How long will it take him to reach Texas https://www.wikitechy.com/interview-questions/time-and-distance/dustin-is-driving-his-car-at-speed-of-50-kilometres-per-hour-he-going-to-texas-which-is-located-345-kilometres-from-his-starting-point-how-long-will-it-take-him-to-reach-texas/ https://www.wikitechy.com/interview-questions/time-and-distance/dustin-is-driving-his-car-at-speed-of-50-kilometres-per-hour-he-going-to-texas-which-is-located-345-kilometres-from-his-starting-point-how-long-will-it-take-him-to-reach-texas/#respond Tue, 17 Aug 2021 21:14:29 +0000 https://www.wikitechy.com/interview-questions/?p=1963

Dustin is driving his car at speed of 50 kilometres per hour. He going to Texas which is located 345 kilometres from his starting point. How long will it take him to reach Texas ?

A. 70

B. 71

C. 72

D. 69

Answer : D. 69

]]> https://www.wikitechy.com/interview-questions/time-and-distance/dustin-is-driving-his-car-at-speed-of-50-kilometres-per-hour-he-going-to-texas-which-is-located-345-kilometres-from-his-starting-point-how-long-will-it-take-him-to-reach-texas/feed/ 0 If Shalu buys 6 more apples, his carton will weight 14.5 kilograms. If the weight of one apple is 250 grams. How many apples did he initially had in his carton ? https://www.wikitechy.com/interview-questions/numbers/if-shalu-buys-6-more-apples-his-carton-will-weight-14-5-kilograms-if-the-weight-of-one-apple-is-250-grams-how-many-apples-did-he-initially-had-in-his-carton/ https://www.wikitechy.com/interview-questions/numbers/if-shalu-buys-6-more-apples-his-carton-will-weight-14-5-kilograms-if-the-weight-of-one-apple-is-250-grams-how-many-apples-did-he-initially-had-in-his-carton/#respond Tue, 17 Aug 2021 19:29:28 +0000 https://www.wikitechy.com/interview-questions/?p=1896

If Shalu buys 6 more apples, his carton will weight 14.5 kilograms. If the weigh of one apple is 250 grams. How many apples did he initially had in his carton ?

A. 58

B. 56

C. 54

D. 52

Answer : D. 52

Explanation:

Weight of 1 apple = 250 g
Weight of 6 apples = 250 * 6 = 1.5 kg
Initial weight = 14.5 – 1.5 = 13 kg
Number of apples in his carton initially :
= 13000/250
= 52 apples

]]> https://www.wikitechy.com/interview-questions/numbers/if-shalu-buys-6-more-apples-his-carton-will-weight-14-5-kilograms-if-the-weight-of-one-apple-is-250-grams-how-many-apples-did-he-initially-had-in-his-carton/feed/ 0 X is a 5 digit number when we subtract the sum of the digits form X, it becomes divisible by _____ https://www.wikitechy.com/interview-questions/numbers/x-is-a-5-digit-number-when-we-subtract-the-sum-of-the-digits-form-x-it-becomes-divisible-by-_____/ https://www.wikitechy.com/interview-questions/numbers/x-is-a-5-digit-number-when-we-subtract-the-sum-of-the-digits-form-x-it-becomes-divisible-by-_____/#respond Tue, 17 Aug 2021 19:27:48 +0000 https://www.wikitechy.com/interview-questions/?p=1909

X is a 5 digit number when we subtract the sum of the digits form X, it becomes divisible by _____ ?

A. 5

B. 1

C. 9

D. 6

Answer : C. 9

Explanation:

Every multiple of 9 (9, 18, 27, 36, etc.) has the property that its digits will always add up to a multiple of 9.
For example, the number 4,968 is a multiple of 9 (552 × 9), and its digits add up to 27 (3 × 9).
Because of how the problem is stated, with four-digit numbers, the sum of the digits will always be 9 or 18 or 27.
Adding 1 + 8 or adding 2 + 7 (as specified in the problem) again gives 9.

]]> https://www.wikitechy.com/interview-questions/numbers/x-is-a-5-digit-number-when-we-subtract-the-sum-of-the-digits-form-x-it-becomes-divisible-by-_____/feed/ 0 The total number of two-digit positive integer lesser than 100, which are not divisible by 2, 3 and 5 is ? https://www.wikitechy.com/interview-questions/numbers/the-total-number-of-two-digit-positive-integer-lesser-than-100-which-are-not-divisible-by-2-3-and-5-is/ https://www.wikitechy.com/interview-questions/numbers/the-total-number-of-two-digit-positive-integer-lesser-than-100-which-are-not-divisible-by-2-3-and-5-is/#respond Tue, 17 Aug 2021 19:24:22 +0000 https://www.wikitechy.com/interview-questions/?p=1908

The total number of two-digit positive integer lesser than 100, which are not divisible by 2, 3 and 5 is ?

A. 23

B. 24

C. 25

D. 26

Answer : B. 24

Explanation:

Numbers less than 100 divisible by 2 are 10, 12, 14, 16,…,98.
Total numbers divisible by 2 are 45
Remaining numbers are 11, 13, 15, 17, 19…99 = 45

Numbers divisible by 3 in the above numbers are 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 75, 81, 87, 93 and 99.
Total numbers divisible by 3 are = 15
Remaining integers = 45-15 = 30.

Numbers divisible by 5 in the remaining numbers = 25, 35, 55, 65, 85, 95
Total numbers = 6
Remaining 30-6 = 24.

So 24 numbers are not divisible by 2, 3 and 5.

]]> https://www.wikitechy.com/interview-questions/numbers/the-total-number-of-two-digit-positive-integer-lesser-than-100-which-are-not-divisible-by-2-3-and-5-is/feed/ 0 If the number 7×86038 is exactly divisible by 11, then the smallest whole number in place of x ? https://www.wikitechy.com/interview-questions/numbers/if-the-number-7x86038-is-exactly-divisible-by-11-then-the-smallest-whole-number-in-place-of-x/ https://www.wikitechy.com/interview-questions/numbers/if-the-number-7x86038-is-exactly-divisible-by-11-then-the-smallest-whole-number-in-place-of-x/#respond Tue, 17 Aug 2021 19:22:38 +0000 https://www.wikitechy.com/interview-questions/?p=1895

If the number 7×86038 is exactly divisible by 11, then the smallest whole number in place of x ?

A. 1

B. 2

C. 3

D. 4

Answer : C. 3

Explanation:

The given number = 7×86038
Sum of the odd places = 8 + 0 + 8 + 7 = 23
Sum of the even places = 3 + 6 + x
(Sum of the odd places) – (Sum of even places) = Number (exactly divisible by 11)
23 – (9 + x) = divisible by 11
14 – x = divisible by 11.
X must be 3, to make given number divisible by 11.

]]> https://www.wikitechy.com/interview-questions/numbers/if-the-number-7x86038-is-exactly-divisible-by-11-then-the-smallest-whole-number-in-place-of-x/feed/ 0 A and B are two number when divided by 7 leaves a remainder 3 and 5. What will be the remainder when A-B is divided by 7 ? https://www.wikitechy.com/interview-questions/numbers/a-and-b-are-two-number-when-divided-by-7-leaves-a-remainder-3-and-5-what-will-be-the-remainder-when-a-b-is-divided-by-7/ https://www.wikitechy.com/interview-questions/numbers/a-and-b-are-two-number-when-divided-by-7-leaves-a-remainder-3-and-5-what-will-be-the-remainder-when-a-b-is-divided-by-7/#respond Tue, 17 Aug 2021 19:03:37 +0000 https://www.wikitechy.com/interview-questions/?p=1883

A and B are two number when divided by 7 leaves a remainder 3 and 5. What will be the remainder when A-B is divided by 7 ?

A. 4

B. 5

C. 6

D. 7

Answer : B. 5

Explanation:

A = 7x + 3,
B = 7y + 5
A – B = 7(x – y) – 2
A – B = 7(x – y) – 7 + 7 – 2 [By adding -7 and +7] A – B = 7(x – y – 1) + 5
As seen above, if we divide A-B by 7, the remainder will be 5.

]]> https://www.wikitechy.com/interview-questions/numbers/a-and-b-are-two-number-when-divided-by-7-leaves-a-remainder-3-and-5-what-will-be-the-remainder-when-a-b-is-divided-by-7/feed/ 0 The sum of three consecutive natural numbers each divisible by 3 is 72. What is the largest among them ? https://www.wikitechy.com/interview-questions/numbers/the-sum-of-three-consecutive-natural-numbers-each-divisible-by-3-is-72-what-is-the-largest-among-them/ https://www.wikitechy.com/interview-questions/numbers/the-sum-of-three-consecutive-natural-numbers-each-divisible-by-3-is-72-what-is-the-largest-among-them/#respond Tue, 17 Aug 2021 19:00:47 +0000 https://www.wikitechy.com/interview-questions/?p=1882

The sum of three consecutive natural numbers each divisible by 3 is 72. What is the largest among them ?

A. 21

B. 30

C. 27

D. 30

Answer : C. 27

Explanation:

Let us take three consecutive numbers which are divisible by 3 are, 3x, 3x + 3 and 3x + 6.
3x + (3x + 3) + (3x + 6) = 72
9x + 9 = 72
9x = 63
i.e. x = 7
so, the numbers are 21, 24 and 27

]]> https://www.wikitechy.com/interview-questions/numbers/the-sum-of-three-consecutive-natural-numbers-each-divisible-by-3-is-72-what-is-the-largest-among-them/feed/ 0 When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8 ? https://www.wikitechy.com/interview-questions/numbers/when-the-integer-n-is-divided-by-8-the-remainder-is-3-what-is-the-remainder-if-6n-is-divided-by-8/ https://www.wikitechy.com/interview-questions/numbers/when-the-integer-n-is-divided-by-8-the-remainder-is-3-what-is-the-remainder-if-6n-is-divided-by-8/#respond Tue, 17 Aug 2021 18:59:23 +0000 https://www.wikitechy.com/interview-questions/?p=1881

When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8 ?

A. 0

B. 2

C. 1

D. 3

Answer : B. 2

Explanation:

When n is divided by 8, the remainder is 3 may be written as
n = 8 k + 3
Multiply all terms by 6
6 n = 6(8 k + 3) = 8(6k) + 18
Write 18 as 16 + 2 since 16 = 8 * 2.
= 8(6k) + 16 + 2
Factor 8 out.
= 8(6k + 2) + 2
The above indicates that if 6n is divided by 8, the remainder is 2. The answer is B.

]]> https://www.wikitechy.com/interview-questions/numbers/when-the-integer-n-is-divided-by-8-the-remainder-is-3-what-is-the-remainder-if-6n-is-divided-by-8/feed/ 0 3/7 of the oranges grown are too sour to eat out of 3,80,205 oranges that are grown on a farm. The owner has to sell the eatable Orange. How many Oranges can the farm owner sell ? https://www.wikitechy.com/interview-questions/numbers/3-7-of-the-oranges-grown-are-too-sour-to-eat-out-of-380205-oranges-that-are-grown-on-a-farm-the-owner-has-to-sell-the-eatable-orange-how-many-oranges-can-the-farm-owner-sell/ https://www.wikitechy.com/interview-questions/numbers/3-7-of-the-oranges-grown-are-too-sour-to-eat-out-of-380205-oranges-that-are-grown-on-a-farm-the-owner-has-to-sell-the-eatable-orange-how-many-oranges-can-the-farm-owner-sell/#respond Tue, 17 Aug 2021 18:57:50 +0000 https://www.wikitechy.com/interview-questions/?p=1880

3/7 of the oranges grown are too sour to eat out of 3,80,205 oranges that are grown on a farm. The owner has to sell the eatable Orange. How many Oranges can the farm owner sell ?

A. 1,62,945

B. 3,25,890

C. 2,17,260

D. 4,34,520

Answer : C. 2,17,260

Explanation:

3/7 of oranges are sour to eat
Total no. of oranges = 3,80,205
Sour oranges = 3/7 of 3,80,205
= 162945
Oranges that can be sold = total no. of oranges – sour oranges
= 3,80,205 – 1,62,945
= 2,17,260

]]> https://www.wikitechy.com/interview-questions/numbers/3-7-of-the-oranges-grown-are-too-sour-to-eat-out-of-380205-oranges-that-are-grown-on-a-farm-the-owner-has-to-sell-the-eatable-orange-how-many-oranges-can-the-farm-owner-sell/feed/ 0 What is the smallest number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/what-is-the-smallest-number-that-leaves-a-remainder-of-2-when-divided-by-3-4-5-and-6/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/what-is-the-smallest-number-that-leaves-a-remainder-of-2-when-divided-by-3-4-5-and-6/#respond Tue, 17 Aug 2021 17:56:25 +0000 https://www.wikitechy.com/interview-questions/?p=1846 What is the smallest number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 ?

A. 56

B. 128

C. 62

D. 32

Answer : C. 62

Explanation:

Take the lcm of 3 , 4 , 5 , 6.
3 = 3×1
4 = 2×2
5 = 5×1
6 = 2×3
LCM = 2 × 2 × 3 × 5 = 60
Therefore 60 is the number that is completely divisible by these numbers. But we have to find the smallest number that leaves remainder 2.
Answer : 60 + 2 = 62

]]> https://www.wikitechy.com/interview-questions/lcm-and-hcf/what-is-the-smallest-number-that-leaves-a-remainder-of-2-when-divided-by-3-4-5-and-6/feed/ 0 Find the smallest 4 digit number which is divisible by 18, 24, 32 ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-smallest-4-digit-number-which-is-divisible-by-18-24-32/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-smallest-4-digit-number-which-is-divisible-by-18-24-32/#respond Tue, 17 Aug 2021 17:54:58 +0000 https://www.wikitechy.com/interview-questions/?p=1845

Find the smallest 4 digit number which is divisible by 18, 24, 32 ?

A. 1216

B. 1512

C. 1152

D. 1680

Answer : C. 1152

Explanation:

LCM of 18, 24 and 32:
–> 18 = 2 x 3 x 3
–> 24 = 2 x 2 x 2 x 3
–> 32 = 2 x 2 x 2 x 2 x 2
LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288.

The smallest four digit number that is divisible by 288:
288 x 3 = 864
288 x 4 = 1152

Since 288 is divisible by 18, 24 and 32, 1152 is also divisible by all these numbers. Therefore, 1152 is the smallest four digit number divisible by 18, 24 and 32.

]]> https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-smallest-4-digit-number-which-is-divisible-by-18-24-32/feed/ 0 There are three numbers, these are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. What will be the sum of three numbers ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/there-are-three-numbers-these-are-co-prime-to-each-other-are-such-that-the-product-of-the-first-two-is-551-and-that-of-the-last-two-is-1073-what-will-be-the-sum-of-three-numbers/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/there-are-three-numbers-these-are-co-prime-to-each-other-are-such-that-the-product-of-the-first-two-is-551-and-that-of-the-last-two-is-1073-what-will-be-the-sum-of-three-numbers/#respond Tue, 17 Aug 2021 17:53:18 +0000 https://www.wikitechy.com/interview-questions/?p=1844

There are three numbers, these are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. What will be the sum of three numbers ?

A. 67

B. 85

C. 129

D. 87

Answer : B. 85

Explanation:

Since the numbers are co-prime, they contain only 1 as the common factor.
It is also given that two products have the middle number in common.
So, middle number = H.C.F. of 551 and 1073 = 29.
So, First number is = 551/29 = 19.
Third number = 1073/29 = 37
So sum of these numbers is = (19 + 29 + 37) = 85.

]]> https://www.wikitechy.com/interview-questions/lcm-and-hcf/there-are-three-numbers-these-are-co-prime-to-each-other-are-such-that-the-product-of-the-first-two-is-551-and-that-of-the-last-two-is-1073-what-will-be-the-sum-of-three-numbers/feed/ 0 Six bells commence tolling together and toll at the intervals of 2, 4, 6, 8, 10, 12 seconds respectively. In 60 minutes how many times they will toll together ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/six-bells-commence-tolling-together-and-toll-at-the-intervals-of-2-4-6-8-10-12-seconds-respectively-in-60-minutes-how-many-times-they-will-toll-together/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/six-bells-commence-tolling-together-and-toll-at-the-intervals-of-2-4-6-8-10-12-seconds-respectively-in-60-minutes-how-many-times-they-will-toll-together/#respond Tue, 17 Aug 2021 17:50:52 +0000 https://www.wikitechy.com/interview-questions/?p=1843

Six bells commence tolling together and toll at the intervals of 2, 4, 6, 8, 10, 12 seconds respectively. In 60 minutes how many times they will toll together ?

A. 16

B. 15

C. 31

D. 30

Answer : C. 31

Explanation:

LCM of 2 , 4 , 6 ,8 , 10 , 12 is 120 seconds, that’s 2 minutes.
Now 60 / 2 = 30
Adding one bell at the beginning it’ll be 30 + 1 = 31.

]]> https://www.wikitechy.com/interview-questions/lcm-and-hcf/six-bells-commence-tolling-together-and-toll-at-the-intervals-of-2-4-6-8-10-12-seconds-respectively-in-60-minutes-how-many-times-they-will-toll-together/feed/ 0