At what time, in moment, between 3 o'clock and 4 o'clock, both are unnecessary will match one another?
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
The last day of a century cannot be
The last day of a century cannot be
Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
If one is added to the numerator of the fraction it becomes one. If one is added to the denominator of the fraction it becomes 1/2. The fraction is?
Two pipes A & B can fill a tank in 20 minutes and 30 minutes respectively. If both pipes are used together, how long will it take to fill the tank … ?
A tap can completely fill a water tank in 8 hrs. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in 12 hrs. How much time will it take for the tap to fill the tank completely ..?
If pipe A can fill the tank in 45 minutes and pipe B in 30 minutes, find the time to fill the tank if both the pipes are opened together.
A cistern is normally filled with water in 10 hours but takes 5 hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty the cistern in
Find the product: (i) 2.61 * 1.3(ii) 2.1693 * 1.4(iii) 0.4 * 0.04 * 0.004 * 40
How many three digit numbers can be formed using the digits 1,2,3,4,5,6,7 and 8 without repeating the digits and such that the tens digit is greater than the hundreds digit and less than the units digit?
Susanta buys an old scooter for \(Rs. 4700\) and spends \(Rs. 800\) on its repairs. If he sells the scooter for \(Rs. 5800\), his gain percent is:
Two tailors \(X\) and \(Y\) are paid a total of \(Rs. 550\) per week by their employer. If \(X\) is paid \(120\) % of the sum paid to \(Y\), how much is \(Y\) paid per week?
A student multiplied a number by \(\frac{3}{5}\) instead of \(\frac{5}{3}.\) What is the percentage error in the calculation?
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?
x divides \(\left ( \left ( 49 \right )^{15} -1\right )\) completely. What is \(x\) ?
A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is:
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
At what time, in moment, between 3 o'clock and 4 o'clock, both are unnecessary will match one another?
Your Answer : (Not Answered)
Correct Answer : D
At 3 o'clock ,the moment hand is 15 min. spaces a section
Structure the hour hand. To be coincident,
it must pick up 15 min. spaces.
55 min. are picked up in 60 min.
15 min. are picked up in (60/55*15)min.=180/11 min.
∴ The hands are correspondent at 180/11 min. past 3.
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Your Answer : (Not Answered)
Correct Answer : D
No answer description available for this question.
The last day of a century cannot be
Your Answer : (Not Answered)
Correct Answer : C
No answer description available for this question.
The last day of a century cannot be
Your Answer : (Not Answered)
Correct Answer : C
No answer description available for this question.
Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
Your Answer : (Not Answered)
Correct Answer : D
Let x be the investment of Ravi in 6% and y be in 7%
x(6)(n)/100 = y(7)(n)/100
=> x/y = 7/6
x : y = 7 : 6
A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Your Answer : (Not Answered)
Correct Answer : C
D = 30 * 5 = 150
RS = 40 – 30 = 10
T = 150/10 = 15
D = 40 * 15 = 600 km
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Your Answer : (Not Answered)
Correct Answer : B
Time taken by one tap to fill half of the tank = 3 hrs.
Part filled by the four taps in 1 hour = | 4 x | 1 | = | 2 | . | ||
6 | 3 |
Remaining part = | 1 - | 1 | = | 1 | . | ||
2 | 2 |
2 | : | 1 | :: 1 : x | |
3 | 2 |
x = | 1 | x 1 x | 3 | = | 3 | hours i.e., 45 mins. | ||
2 | 2 | 4 |
So, total time taken = 3 hrs. 45 mins.
If one is added to the numerator of the fraction it becomes one. If one is added to the denominator of the fraction it becomes 1/2. The fraction is?
Your Answer : (Not Answered)
Correct Answer : C
Let the fraction be x/y.
=> (x+1)/y = 1
=> x+1 = y—(1) x/(y-1) = 1/2
=> 2x = (y+1)—(2)
=>Equating (1) and (2)
=> x+1 = 2x-1
=>x=2
Substituting the value of x in (1)
=>y=3
=>2/3
Two pipes A & B can fill a tank in 20 minutes and 30 minutes respectively. If both pipes are used together, how long will it take to fill the tank … ?
Your Answer : (Not Answered)
Correct Answer : A
No answer description available for this question.
A tap can completely fill a water tank in 8 hrs. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in 12 hrs. How much time will it take for the tap to fill the tank completely ..?
Your Answer : (Not Answered)
Correct Answer : C
No answer description available for this question.
If pipe A can fill the tank in 45 minutes and pipe B in 30 minutes, find the time to fill the tank if both the pipes are opened together.
Your Answer : (Not Answered)
Correct Answer : C
In 1 minute pipe A can fill 1/45th part of the tank and pipe B can fill 1/30th part of the tank. If they are opened simultaneously then in 1 minute they can fill (1/45 + 1/30) part of the tank = 1/18th part of the tank.
Hence, in 18 minutes the tank gets filled if pipes A & B are opened together.
A cistern is normally filled with water in 10 hours but takes 5 hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty the cistern in
Your Answer : (Not Answered)
Correct Answer : D
Find the product: (i) 2.61 * 1.3(ii) 2.1693 * 1.4(iii) 0.4 * 0.04 * 0.004 * 40
Your Answer : (Not Answered)
Correct Answer : C
No answer description available for this question.
How many three digit numbers can be formed using the digits 1,2,3,4,5,6,7 and 8 without repeating the digits and such that the tens digit is greater than the hundreds digit and less than the units digit?
Your Answer : (Not Answered)
Correct Answer : B
Ten's digit = 7 ⇒ units digit =8 ⇒ Hundred's digit =1,2,3,4,5,6.
⇒ Number of ways =1×6
Ten's digit = 6 ⇒ units digit =7,8 ⇒ Hundred's digit =1,2,3,4,5.
⇒ Number of ways =2×5
Ten's digit = 5 ⇒ units digit =6,7,8 ⇒ Hundred's digit =1,2,3,4
⇒ Number of ways =3×4
Ten's digit = 4 ⇒ units digit =5,6,7,8 ⇒ Hundred's digit =1,2,3.
⇒ Number of ways =4×3
Ten's digit = 3 ⇒ units digit =4,5,6,78 ⇒ Hundred's digit =1,2
⇒ Number of ways =5×2
Ten's digit = 2 ⇒ units digit =3,4,5,6,7,8 ⇒ Hundred's digit =1
⇒ Number of ways =6×1
Total number of ways =6+10+12+12+10+6= 56.
Susanta buys an old scooter for \(Rs. 4700\) and spends \(Rs. 800\) on its repairs. If he sells the scooter for \(Rs. 5800\), his gain percent is:
Your Answer : (Not Answered)
Correct Answer : B
Cost Price (C.P.) \(= Rs. (4700 + 800) = Rs. 5500.\)
Selling Price (S.P.) \(= Rs. 5800.\)
Gain = (S.P.) - (C.P.) \(= Rs. (5800 - 5500) = Rs. 300.\)
Gain % \(= (\frac{300}{5500} \times 100)\)% \(= 5\frac{5}{11}\)%
Two tailors \(X\) and \(Y\) are paid a total of \(Rs. 550\) per week by their employer. If \(X\) is paid \(120\) % of the sum paid to \(Y\), how much is \(Y\) paid per week?
Your Answer : (Not Answered)
Correct Answer : B
The sum paid to \(Y\) per week be \(Rs. Z.\)
Then, \(Z + 120\) % of \(Z = 550.\)
\(\Rightarrow Z + \frac{120}{100}Z =550\)
\(\Rightarrow \frac{11}{5}Z = 550\)
\(\Rightarrow Z = (\frac{550 \times 5}{11}) = 250.\)
A student multiplied a number by \(\frac{3}{5}\) instead of \(\frac{5}{3}.\) What is the percentage error in the calculation?
Your Answer : (Not Answered)
Correct Answer : D
Let the number be \(x.\)
Then, error \(= \frac{5}{3}x - \frac{3}{5}x = \frac{16}{15}x.\)
Error % \(= (\frac{16x}{15} \times \frac{3}{5x} \times 100)\)% \(= 64\)%
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?
Your Answer : (Not Answered)
Correct Answer : A
\((A+B) - (B-C) = 12 <=> A - C = 12.\)
x divides \(\left ( \left ( 49 \right )^{15} -1\right )\) completely. What is \(x\) ?
Your Answer : (Not Answered)
Correct Answer : A
\(\left (x^{n}-1 \right )\) is divisible by \(x+1\) if \(x\) is an even number.
\(\left ( \left ( 49 \right )^{15} -1\right )\) =\(\left ( \left ( 7^{2} \right )^{15} -1\right )\) =\(\left ( 7 \right )^{30} -1\)
which is divisible by \(7+1\), \(8\)
A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is:
Your Answer : (Not Answered)
Correct Answer : D
Let \(x=6q+3\). Then,
\(x^{2} = (6q+3)^{2} \\= 36q^{2}+36q+9 \\= 6(6q^{2}+6q+1)+3\)
So, when \(2n\) is divided by \(4\), remainder \(=3\)
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
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