认知展示纸|才能套装3

这是用于Cognizant技术解决方案面试的能力准备的模型介绍文件。这份安置文件将涵盖在CTS招聘活动中提出的才能问题，并且还将严格遵循在CTS面试中提出的问题模式。建议解决以下每个问题，以增加清除CTS面试的机会。

1. 找到(100！)^ 100除以23时的余数?
   a)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. 一根管子可以比另一根管子快三倍地充满一个桶。如果两条管道在一起可以在36分钟内将桶装满，那么较慢的管道就可以将桶装满：
   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. 当前的阿曼速度为15 km / hr，当前的速度为2.5 km / hr。阿曼逆流而上的速度是多少?
   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，物理和生物学的席位比例为5：7：8。提议将这些席位分别增加40％，50％和75％。增加席位的比例是多少?
   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，外径为8厘米。如果管道的厚度为1厘米，铁的重量为8 g / cm3，则管道的重量为：
   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(Rohit)的父亲比罗希特(Rohit)大三倍。 8年后，他将是Rohit年龄的两倍半。再过8年，他将成为罗希特(Rohit)的年龄几次?
   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. 水龙头可以在6小时内装满水桶。将一半的水桶装满后，再打开三个类似的水龙头。完全充满水桶需要多少时间?
   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. 在静止水中以15 km / hr的速度行驶的船舶向下游30 km行驶，并在总共4小时30分钟内返回。溪流的速度是多少公里/小时?
   a)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。如果该比率为1：2，那么还需要多少水?
   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15 m，宽12 m。如果地板和天花板的面积之和等于四堵墙的面积之和，则大厅的体积为：
    a)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)