认知安置纸|能力集 1

这是 Cognizant Technology Solutions面试的能力准备模板。这份安置文件将涵盖 CTS 招聘活动中提出的能力问题，并严格遵循 CTS 面试中提出的问题模式。建议解决以下每个问题，以增加通过 CTS 面试的机会。

1. 一个班有 40 名学生，其中有 14 人在学习数学，29 人在学习计算机。从该组中随机选择的一名学生只上计算机课的概率是多少？
   a) 40%
   b) 55%
   c) 65%
   d) 70%

   Answer: 60%

   Solution:
   There are in total of 40 students. 14 are taking Maths and 29 are taking calculus. Therefore there have to be 3 students who are taking both the classes. So, 29 – 3 = 26 students are taking only Computer. So probability = 26/40 = 13/20 = 65%

2. 找出第二位比第一位小4的数，如果这个数除以这个数的和，商就是7。
   一）51
   b) 62
   c) 73
   d) 这些都不是

   Answer: d) None of these

   Solution: If we consider the number 84, then we get 8 – 4 = 4 and when the sum of digits that is 12 divides the number 84, we get 7.

3. 如果所有的 6s 都倒过来变成 9s，在 1 到 100 之间，那么包括两者在内的所有数字的总和会改变多少？
   一）300
   b) 330
   c) 333
   d) 这些都不是

   Answer: b) 330

   Solution:
   For the 6 at the unit place:
   When the digits are changed to 9, each value will increase by 3. Since there are 10 such numbers, so total increase = 10 * 3 = 30
   For the 6 at 10’s place:
   When the digits are changed to 9, each value will increase by 30. Since there are 10 such numbers, so total increase = 10 * 30 = 300
   So the total increase will be 30 + 300 = 330

4. 拉杰什和帕布去了一家书店。 Rajesh 买了 5 支钢笔、3 个笔记本和 9 支铅笔，花光了她所有的钱。 Prabhu 购买了 6 支钢笔、6 个笔记本和 18 支铅笔，支付的金额比 Rajesh 支付的金额多 50%。 Rajesh 的钱中有多少花在了钢笔上？
   a) 12.5
   b) 62.5
   c) 75
   d) 无法确定

   Answer: a) 12.5

   Solution:
   Let the amount spent by Rajesh be ‘x’

   According to the question,
   5 pen + 3 notebooks + 9 pecils = x
   and
   6 pens + 6 notebooks + 18 pencils = 1.5x

   By solving both the equations we get,
   pens = 0.125x = 12.5%

5. 在乘坐公共汽车的一群人中，6 人会说泰米尔语，15 人会说印地语，6 人会说古吉拉特语。在那个群体中，没有人会说任何其他语言。如果小组中有 2 个人会说两种语言，而 1 人会说所有三种语言，那么小组中有多少人？
   一）21
   b) 22
   c) 24
   d) 23

   Answer: d) 23

   Solution:
   Assuming the two persons who can speak two languages be Hindi and Tamil and the third person speaks all the three languages.
   Therefore, the number of people who can speak Tamil is 6. Only Tamil = 6 – 2 – 1 = 3
   Therefore, the number of people who can speak Hindi is 15. Only Hindi = 15 – 2 – 1 = 12
   Therefore, the number of people who can speak Gujarati is 6. Only Gujarati = 6 – 1 = 5
   Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20
   Given,
   The number of persons who can speak two languages is 2
   The number of people who speak all three languages is 1
   Therefore the answer is 23.

6. 有 2 辆卡车相对，彼此相距 500 厘米。每辆卡车以 50 厘米/秒的速度向前移动 100 厘米，然后以 25 厘米/秒的速度向后移动 50 厘米。他们需要多长时间才能碰撞？
   a) 12 秒
   b) 16 秒
   c) 13 秒
   d) 14 秒

   答案：d) 14 秒

   Solution:
   If we observe the series carefully running from time = 2 sec and hence,

   Moving forward:
   At 2 secs each truck will move to a distance of 100cms

   Moving backwards:
   At 4 secs each truck will move to a distance of 50cms

   Moving forward:
   At 6 secs each truck will move to a distance of 150cms

   Moving backwards:
   At 8 secs each truck will move to a distance of 100cms

   Moving forward:
   At 10 secs each truck will move to a distance of 200cms

   Moving backwards:
   At 12 secs each truck will move to a distance of 150cms

   Moving forward:
   At 14 secs each truck will move to a distance of 250cms and in all 500 cms that are the point they must collide.

7. 能除以 964、1238 和 1400 并分别留下 41、31 和 51 的余数的最大数是多少？
   一）71
   b) 58
   c) 64
   d) 79

   Answer: a) 71

   Solution:
   To reach to the solution we just need to find the HCF of (964 – 41), (1238 – 31), (1400 – 51) = 923, 1207, 1349
   The HCF of 923, 1207 and 1349 = 71

8. 周一、周二和周三的平均气温为 37°C，周二、周三和周四的平均气温为 34°C。如果星期四的温度是星期一的 4/5，那么星期四的温度是多少？
   a) 36°C
   b) 36.5°C
   c) 34°C
   d) 35.5°C

   Answer: a) 36 °C

   Solution:
   According to the question,
   Monday + Tuesday + Wednesday = 37 °C
   Tuesday + Wednesday + Thursday = 34 °C
   Thursday = 4/5 of Monday
   On solving the first two equations and substituting the values from the third condition we get the temperature of Thursday = 36 °C

9. 有6个城市，每个城市都相互连接。从 A 到 B 可以追踪多少条不同的路线，使得在任何一条路线中没有一个城市被多次触及？
   一）72
   b) 65
   c) 60
   d) 48

   Answer: b) 65

   Solution:
   There must be 1 direct route.
   There are 4 ways to cover 1 city
   There are 4 * 3 = 12 ways to cover 2 cities
   There are 4 * 3 * 2 ways to cover 3 cities
   There are 4 * 3 * 2 * 1 ways to cover 4 cities
   Total ways = 65 ways

10. 一个秘密只能由 2 个人在 5 分钟内说出来。同一个人将秘密告诉另外两个人，依此类推。告诉它要告诉 768 个人需要多长时间？
    a) 500 分钟
    b) 50 分钟
    c) 47.5 分钟
    d) 49 分钟

    Answer: c) 47.5 min 

    Solution:
    One person telling to 2 means he takes 2.5 min to tell the secret to 1 person,
    So 1 person telling the truth to another 2 people and the next two telling the truth to the next two who in turn are telling another 2 people and so on…
    Therefore a series is formed of 1 to 2, 2 to 4, 4 to 8, 8 to 16 and so on…
    Therefore a series of 1, 2, 4, 8, 16, 32,…, 512
    Till 512 it would take
    Till this will take 45 minutes and now these people i.e., 256 will be telling the truth to only 1 of the total person will be 768,
    Therefore, 45 + 2.5 = 47.5 min