认知安置纸|能力集 3

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. 求 (100!)^100 除以 23 的余数？
   一）3
   b) 2
   c) 1
   d) 0

   Answer: d) 0

   Solution:
   We know that 100! = 100 * 99 * 98 * … * 23 * 22 * 21 * … * 3 * 2 * 1
   So when this equation is divided by 23, the remainder is 0.

2. 一根管子装满桶的速度是另一根管子的三倍。如果两个管道一起可以在 36 分钟内填满桶，那么单独较慢的管道将能够填满桶：
   a) 144 分钟。
   b) 81 分钟。
   c) 108 分钟。
   d) 192 分钟。

   Answer: a) 144 minutes.

   Solution:
   Let us assume that the slower pipe can fill the bucket in x minutes.
   So the faster tap can feel the bucket in x/3 minutes.
   According to the question,
   Therefore,
   1/x+1/(x/3)
   1/x + 3/x = 1/36
   => x = 144 minutes.

3. Aman 的水流速度为 15 公里/小时，水流速度为 2.5 公里/小时。 Aman 的逆流速度是多少？
   a) 8.5 公里/小时
   b) 9 公里/小时
   c) 10 公里/小时
   d) 12.5 公里/小时

   Answer: c) 10 km/hr

   Solution:
   So Aman’s rate in still water = (15 – 2.5) = 12.5 km/hr.
   and Aman’s rate against the current = (12.5 – 2.5) km/hr = 10 km/hr.

4. 一所学校的数学、物理和生物的席位比例为 5:7:8。有人提议将这些席位分别增加 40%、50% 和 75%。增加的座位比例是多少？
   a) 6:7:8
   b) 2:3:4
   c) 6:8:9
   d) 以上都不是

   Answer: b) 2:3:4

   Solution:
   Let the ratios of division be = 5x:7x:8x
   There is an increase of 40%, 50% and 75% respectively.
   Therefore, applying the % over the ratio we get, 7x:21x/2:14x
   So, this is the required ratio.
   = 14x : 21x: 28x
   = 2 : 3 : 4

5. 空心铁管长21厘米，外径8厘米。如果管子的厚度为 1 cm，铁的重量为 8 g/cm3，则管子的重量为：
   a) 3.6 公斤
   b) 3.696 公斤
   c) 36 公斤
   d) 36.9 公斤

   Answer: b) 3.696 kg

   Solution:
   Given the external diameter = 8 cm. Therefore, the radius = 4 cm.
   The thickness = 1 cm. Therefore the internal radius = 4 – 1 = 3 cm
   The volume of the iron = pi * (R^2 – r^2) * length
   = 22/7 * [(4^2) – (3^2)] * 21 cubic-cm
   = 462 cubic-cm
   Therefore, the weight of iron = 462 * 8 gm = 3.696 kg

6. 罗希特的父亲比罗希特年长三倍。八年后，他将是罗希特年龄的两倍半。再过 8 年，他会有多少次和 Rohit 一样大？
   a) 2 次
   b) 2.5 次
   c) 2.75 次
   d) 3 次。

   Answer: a) 2 times

   Solution:
   Let Rohit present age be x years
   Therefore father’s age is x + 3x = 4x years
   According to the question,
   4x + 8 = 5/2(x + 8)
   => 3x = 24
   => x = 8
   So the answer is: (4x + 16) / (x + 16) = 48/24 = 2

7. 一个水龙头可以在 6 小时内装满一个桶。桶装满一半后，再打开三个类似的水龙头。完全装满桶需要多长时间？
   a) 3 小时 45 分钟
   b) 3 小时 15 分钟
   c) 4 小时 15 分钟
   d) 4 小时 45 分钟

   Answer: a) 3 hrs 45 min

   Solution:
   Time is taken by one tap to fill half the bucket = 3 hours
   So the part filled 4 taps in one hour = 4 * (1/6) = 2/3 of the bucket.
   Therefore, the remaining part is = (1 – 1/2) = 1/2
   Proportinally = 2/3 : 1/2 :: 1 : x
   => x = 3/4 hours = 45 minutes. So the total time = 3 hrs 45 minutes.

8. 一艘船在静水中以 15 公里/小时的速度向下游行驶 30 公里，并在总共 4 小时 30 分钟内返回。流的速度是多少公里/小时？
   一）4
   b) 6
   c) 5
   d) 10

   Answer: c) 5

   Solution:
   Let the speed of the stream be x km/hr.
   Therfore the, speed of downstream = (15 + x) km/hr,
   and speed of upstream = (15 – x) km/hr.
   According to the question,
   30/(15 + x) + 30/(15 – x) = 9/2
   or, 900/(225 – x^2) = 9/2
   or, 9x^2 = 225
   or, x^2 = 25
   or, x = 5 km/hr.

9. 在 60 升的混合物中，牛奶与水的比例为 2:1。如果这个比例是1:2，那么进一步需要的水量是多少？
   a) 60 升
   b) 50 升
   c) 40 升
   d) 30 升

   Answer: a) 60 litres

   Solution:
   From the given ratio we can deduce the quantity of milk as = 60 * (2/3) = 40 lit
   and the quantity of water = 60 – 40 = 20 lit
   The new ratio must be 1:2
   Let the quantity of water to be added be x lit.
   Then milk:water = 40 / (20 + x)
   This should be equal to = 1/2
   => 20 + x = 80
   or, x = 60

10. 大厅长15m，宽12m。如果地板和天花板的面积之和等于四面墙的面积之和，则大厅的体积为：
    一）720
    b) 1200
    c) 900
    d) 1800

    Answer: b) 1200

    Solution:
    According to the question,
    2(15 + 12)*h = 2(15 * 12)
    => h = (180/27) = 20/3 meter
    Therefore, the volume = l * b * h = (15 * 12 * 20/3) cubic-meter = 1200 (answer)