Test-Series - numerical

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Test Number 13/39

Q: The smallest number which when diminished by 7,  is divisible by  12, 16, 18, 21 and 28 is
A.  1008
B.  1015
C.  1022
D. 1032
Solution: Required Number = (L.C.M  of 12, 16, 18,21,28)+7 = 1008 + 7 = 1015
The correct answer is: B) 1015
Q: The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?
A.  25
B.  21
C. 12
D. 24 
Solution: Therefore x = 21%
The correct answer is: B) 21
Q: Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?
A.  20
B. 30
C.  40
D.  50
Solution: The fruit content in both the fresh fruit and dry fruit is the same.   Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg   Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.   Fruit % in freshfruit = Fruit% in dryfruit    Therefore, (32/100) x 100 = (80/100 ) x y    we get, y = 40 kg.
The correct answer is: C) 40
Q: If 15% of x = 20% of y, then x:y is  ___?
A.  4:3
B.  5:4
C.  4:5
D.  3:4
Solution: Given 15% of x = 20% of y => 15x = 20y => x/y = 20/15 => x : y = 4 : 3
The correct answer is: A) 4:3
Q: The compound interest on rs.30000 at 7% per annum is Rs.4347. The period is
A.  2 years
B.  2.5 years
C.  3 years
D.  4 years
Solution: Amount = Rs.(30000+4347) = Rs.34347   let the time be n years   Then,30000(1+7/100)^n = 34347   (107/100)^n = 34347/30000 = 11449/10000 = (107/100)^2   n = 2years
The correct answer is: A) 2 years
Q: On dividing 2272 as well as 875 by 3-digit number N,we get the same remainder.The sum of the digits of N is:
A. 13
B. 12
C. 11
D. 10
Solution: (2272-875) = 1397, is exactly divisible by N. Now , 1397 = 11 x 127 The required 3-digit number is 127,the sum of digits is 10.
The correct answer is: D) 10
Q: The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be  formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture ?
A.  4
B.  5
C.  8
D.  None of these
Solution:    Wine                         Water             8L                              32L             1                :               4            20 %                           80% (original ratio)            30 %                           70% (required ratio)   In  ths case, the percentage of water being reduced when the mixture is being replaced with wine.   so the ratio of left quantity to the initial quantity is 7:8   Therefore , 78=1-K40   => K = 5 Lit
The correct answer is: B) 5

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