Six years ago, Seema was half of that of Rupa in age. Four years hence the respective ratio of their ages would be 3:5. How old is Rupa at present?
Let Seema's age at present be x years and Rupa's age be y years,
Now, according to the question,
(y  6) = 2 (x  6)
⇒ y  6 = 2x  12
or, 2x  y = 6 .....(1)
Also, x + 4/y + 4 = 3/5
or, 5x + 20 = 3y + 12
or, 5x  3y = 8 .....(2)
From Equations (1) and (2), we get
x = 26 years and y = 46 years
Area of a square field is 1 hectare. The length of another square field is 1% more than the length of this square field. The difference in their areas is
1 hectare = 10000 m^{2}
Area of a square field = 10000 m^{2}
let length of a square field be x m
then x^{2} = 10000
x = 100m
length of other square field = 100 + 100 x 1/100 = 101
Area of Another square field = (101)^{2} = 10201 m^{2}
∴ Difference in their areas = 10201  10000
= 201 m^{2}
On what dates of April, 1995 did Sunday fall?
1993 complete years = 1600 + 300 + 93
= 1600 + 300 + 23 leap years + 70 ordinary yrs.
= (0 + 1 + 23 x 2 + 70) odd days
= 117 odd days
= 16 weeks + 5 odd days
Hence Jan 1, 1994 was a Friday, Jan, February, March have 3, 0 and 3 odd days respectively, or 6 odd days.
Hence, April 1, is a Thursday. April 4 is a sunday Option (c) is correct.
Choose the numeral pair which is different from others .
Except 9  3, in all other pairs, the first number is four times the second number.
If 2x^{4} + 9 x^{3} + 8 x^{2} + 9 x + 2 = 0 ; then x =
Divide throughout by x^{2}
The expression sin 89^{o} + tan 89^{o} , when expressed in terms of angles between 0^{o} and 45^{o}, can be written as
Value of the following is
ABCDE is a regular pentagon. The measure of angle x is
The acceleration due to gravity at a point 'X' at a height of 100 m from the surface of earth is 10 m/s^{2}. Imagine the earth suddenly shrinks uniformly to half of its present size without losing any mass. What will be the value of acceleration due to gravity at the point 'X'?
Select the correct set of symbols which will fit in the given equation 5 0 3 5 = 20.
5  0 + 3 × 5
= 5 + 15 = 20
In a certain month. Mr. Khan's call charges were Rs 124.80. If in addition to the telephone rent of Rs.380, he has to pay 5% tax on the total amount, then what is his telephone bill for that month?
Mr khan's call charges were Rs. 124.80
Telephone rent is Rs. 380.00
So Total amount = 380 + 124.80
= Rs. 504.80
He has to pay 5% tax on the total amount i.e. on Rs. 504.80
i.e. = 504.80 x 5/100 = Rs. 25.24
So Telephone bill for that month = Rs. 504.80 + Rs. 25.24
= Rs. 530.04
Two pipes A and B can separately fill a cistern in 60 minutes and 75 minute respectively. There is a third pipe at the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time can the third pipe alone empty the cistern?
Work done by the third pipe in 1 min. = 1/50  ( 1/60 + 1/75 )
= ( 1/50  3/100 )
=  1/100
Therefore, the third pipe alone can empty the cistern in 100 min
A shopkeeper marks in sharees at 20% above the cost price and allows a purchaser a discount of 10% for cash buying. What profit per cent does he make?
Using successive changes formula
a + b + ab/100
= 20  10 + 20(10)/100
= 10  2 = 8% profit
7500 + (1250 ÷ 50) = ?
9745 × 4.5  27496 = 24221  ?
9745 × 4.5  27496
= 43852.5  27496 = 16356.5
24221  ? = 16356.5
⇒ ? = 7864.5
In simple linear regression, the numbers of unknown constants are:
In a flight of 3000 km, an aircraft was slowed down by bad weather. Its average speed for the trip was reduced by 100 km/hr and the time increased by one hour. Find the original duration of the flight.
Let the original time taken by the plane x hours
Then original speed = 3000/x km/h
∴ 3000/x + 1 = 3000/x  100
⇒ x = 5
If a right circular cone of height 24 cm has a volume of 1232 cm^{3}, then the area of its curved surface is :
A team of experts for conducting interviews consists of seven experts Bhushan, Cyriac, Pramila, Ram, Suresh, Shekhar and Unni. Of these Bhushan, Cyriac and Pramila are experts in Social Sciences while Suresh and Unni are experts in Basic Sciences. Ram and Shekhar had exposure in both basic sciences and social sciences. Three panels have to be formed for the interview with a restriction that a panel should have representation from experts with social sciences and basic sciences back ground. Moreover, at least one member should be an expert of only one area.
Q. If Cyriac does not like to be a member of panel with Ram, and Unni was in a panel with Shekhar, then the expert who did not participate in the interview was
A team of experts for conducting interviews consists of seven experts Bhushan, Cyriac, Pramila, Ram, Suresh, Shekhar and Unni. Of these Bhushan, Cyriac and Pramila are experts in Social Sciences while Suresh and Unni are experts in Basic Sciences. Ram and Shekhar had exposure in both basic sciences and social sciences. Three panels have to be formed for the interview with a restriction that a panel should have representation from experts with social sciences and basic sciences back ground. Moreover, at least one member should be an expert of only one area.
Q. If Pramila did not participate in the interview, then who was the person most likely to be with Unni?
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