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41 / 146
Which of the following numbers are completely divisible by 11?
A. 3245682
B. 283712
C. 438416
D. 36894
AOnly A
BOnly B
COnly C
DOnly D
EAll are divisible
Answer: Option E
Explanation:Note: If the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then clearly the number is divisible by 11.
[(Sum of digits at odd places) - (Sum of digits at even places)]/11
=> [(3+4+6+2) - (2+5+8)]/11 => (15 - 15)/11 = 0/11 = 0
similarly others number are divisible by 11
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42 / 146
If a number cube is rolled once and coin is tossed once. What is the probability that the coin will show tails and composite number on the cube?
A1/8
B1/6
C1/2
D1/4
Es
Answer: Option B
Explanation:Numbers on cube (1,2,3,4,5,6)
Composite number on dice are 4 and 6.
So, Probability that the coin will show tails and composite number on the cube = (1/2) *(2/6) = 1/6
Note: Composite number is a positive integer that can be formed by multiplying together two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself
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43 / 146
The time a passenger train takes to cross another freight train is twice when the passenger train crosses the freight train running in opposite directions. What is the ratio of their speeds?
A3:1
B1:3
C1:2
D2:1
Answer: Option A
Explanation:Lets assume speed of freight train = X Km/hr
speed of passenger train = Y Km/hr.
and sum of their length = D Km.
When trains are running in same direction:
so Time = D/(X-Y) ---------- (1)
When trains are running in opposite direction:
So, Time = D/(X+Y) --------- (2)
By eq. (1) & (2)
[D/(X-Y)] = 2 * [D/(X+Y)]
=> 2X-2Y = X+Y
=> X = 3Y
=> X:Y = 3:1
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44 / 146
The banker's gain on a bill due 2 year hence at 10% per annum is Rs. 8. The true discount is:
ARs. 44
BRs. 40
CRs. 34
DNone of these
Answer: Option B
Explanation:True Discount = (B.G*100)/(Rate*Time)
T.D = (8*100)/(10*2)
= 8*5 = Rs. 40
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45 / 146
If x(a) = a^2+2a-1, then x(8)-x(5) =
A43
B45
C14
D3
Answer: Option B
Explanation:x(8) = 64 + 16 - 1 = 79
x(5) = 25 + 10 - 1 = 34
So, x(8)-x(5) = 79 - 34 = 45
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46 / 146
If a certain computer is capable of printing 4900 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6600 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?
A13 min
B33 min.
C31 min.
D29 min.
Answer: Option C
Explanation:Old model is capable of printing at a rate of 4900 per hour
New model is capable of printing at a rate of 6600 per hour
Old model time taken to print 10000 cards = 10000/4900 = 100/49
New model time taken to print 10000 cards = 10000/6600 = 100/66
Old model - new model: 100/49 - 100/66 = 1700 /(49*66) = 850/(49 * 33) = 0.525 hrs => 31 mins
Therefore, the old model will take approximately 31 mins longer than the new model to print 10000 bills
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47 / 146
To finish a piece of work, P takes Five times as Q and six times as R. Working together, they can finish the work in 4 days. Q can do the work alone in:
A24 days
B48/5 days
C13 days
D11 days
Answer: Option B
Explanation:Lets assume Q take x days to finish the work
so P take time = 5x, and R take time R=5x/6
Given, They took 4 day to finish the work.
1/5x+1/x+6/5x= 1/4 => 12/5x = 1/4
x=48/5
So, Q can do work alone in 48/5 days.
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48 / 146
If 3/p = 6 and 3/q = 15 then p - q = ?
A1/3
B2/5
C3/10
DNone of these
Answer: Option C
Explanation:Given, p=1/2,q=1/5
So, p-q = (3/6 - 3/15) = (1/2 - 1/5) = 3/10
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49 / 146
Total of the ages of A, B ahd C at present is 90 years. Ten years ago, the ratio of their ages was 1: 2: 3. What is the age of B at present
A23 years
B20 years
C30 years.
D33 years.
Answer: Option C
Explanation:Let their ages 10 years ago is x, 2x and 3x years.
(x + 10) + (2x + 10) + (3x + 10) = 90 hence x= 10
B's present age = (2x + 10) =30 years.
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50 / 146
The sum of a number and its square is 1406. What is the number?
A38
B39
C37
DNone of these
Answer: Option C
Explanation:Lets assume the no. = x
so x+x^2=1406
by putting values from options
37+37^2
=37(37+1)
=37*38 =1406
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