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Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, she will be twice as old as Ashu. How old is Ashu today?
Let the present age of Ashu's mother and Ashu be x and y respectively.
(x  5) = 3 (y  5)
⇒ x  5 = 3y  15
⇒ x  3y =  10 .....(i)
After 5 years:
(x + 5) = 2 (y + 5)
⇒ x + 5 = 2y + 10
⇒ x  2y = 5 .....(ii)
From (i) and (ii) we get x = 35 and y = 15 yrs
Hence, option B is correct.
A certain number of tennis balls were purchased for Rs 450.Five more balls could have been purchased for the same amounts if each ball was cheaper by Rs 15.Find the number of balls purchased.
Let the number of balls purchased be x
⇒ x^{2} + 5x  150 = 0
⇒ (x + 15) (x  10) = 0
x = 10
The minute hand and the hour hand of a clock are 14 cm and 7 cm long respectively. The total distance covered by their tips in one day is
Distance Travel by hour hand in one day is = 2 x 2 πr
= 2 x 2 x (22/7) x 7 = 88 cm
Distance Travel by minute hand in one day is = 2 πr x 24
= 2 x (22/7) x 14 x 24 = 2112 cm
Total distance covered by their tips is = 2112 + 88 = 2200 cm = 22m
Four of the following five are alike in a certain way and hence form a group. Which one does not belong to the group?
In option A, B & D same sequence is followed i.e. +1.
But in case of Option C the sequence is
1.
Complete the analogous pair.
Robert Hooks : Robert Brown : : Cells : ?
By which amendment was primary education added to the list of Fundamental Rights
Count the number of triangles and squares in the given figure.
The figure may be labelled as shown.
Triangles :
The simplest triangles are IJQ, JKQ, KLQ, LMQ, MNQ, NOQ, OPQ and PIQ i.e. 8 in number. The triangles composed of two components each are ABQ, BCQ, CDQ, DEQ, EFQ, FGQ, GHQ, HAQ, IKQ, KMQ, MOQ and OIQ i.e. 12 in number.
The triangles composed of four components each are ACQ, CEQ, EGQ, GAQ, IKM, KMO, MOI and OIK i.e. 8 in number.
The triangles composed of eight components each are ACE, CEG, EGA and GAC i.e. 4 in number.
Total number of triangles in the figure = 8 + 12 + 8 + 4 = 32.
Squares :
The squares composed of two components each are IJQP, JKLQ, QLMN and PQNO i.e. 4 in number.
The squares composed of four components each are ABQH, BCDQ, QDEF and HQFG i.e. 4 in number.
There is only one square i.e. IKMO composed of eight components.
There is only one square i.e. ACEG composed of sixteen components.
Thus, there are 4 + 4 + 1 + 1= 10 squares in the given figure.
A sum of money invested at Compound Interest amounts in 3 yrs to Rs 2,400 and in 4 yrs to Rs 2,520. The interest rate of p.a is
Let rate of interest be r%
then, 2520/2400 = (1 + r/100 )/4 (1 + r 100 ) 3
⇒ 63/60 = 1 + r/100 = 5%
∴ r = 5%
One of the youngest science of the 20th century which deals with production, control and application of very low temperature (approx.Below150^{o}C) is called
Correct Answer : b
Explanation : The shaded area represents the Females who smoke as well as play golf
If + means  ,  means x, x means ÷ and ÷ means + then
15 x 3 ÷ 15 + 5  2 = ?
15 ÷ 3 + 15  5 x 2 = 5 + 15  5 x 2 = 5 + 15  10 = 10
Product of two natural numbers is 17. Then, the sum of reciprocals of their squares is
If the numbers are a, b, then ab = 17,
as 17 is a prime number, so a = 1, b = 17.
A and B are partners in a business. A contrbutes 1/4 of the capital for 15 months and B received 2/3 of the profit. Find for how long B's money was used?
Let total profit is x
B's share = 2x/3 , A's share = (x  2x/3 ) = x/3
∴ Ratio of profit A : B = x/3 : 2x/3 = 1 : 2
Let total capital invested be Rs P and A's money was used for 15 months while B's money was used for be months then we can write the equeation as
1/4 p x 15 / 3/4 p x b = 1/2 ⇔ b = 30/3 = 10
The World War II Memorial Museum has been inaugurated in which state on January 21, 2018?
Pema Khandu, the Chief Minister of Arunachal Pradesh, has inaugurated the World War II Memorial Museum in Jairampur in Changlang District on January 21, 2018. The war memorial has the collection of the remnants of World War 2, personal belongings of the soldiers and other persons involved. The museum also showcases traditional items from local Tangsa community. The memorial is a cemetery site where about 833 graves including mass graves have been discovered. The museum is built through funding from Union Ministry of Culture for Rs 2.25 crores and executed by state PWD.
The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is :
If a+b+c = 0,then a^{2}(b + c) + b^{2}(c + a) + c^{2}(a + b) is equal to
A and B start at the same time with speeds of 40 km/hr, respectively. If in covering the journey A takes 15 minutes longer than B, the total distance of journey is
A : B
Ratio of speed = 4:5
Ratio of time = 5 : 4 (5−4) unit = 15 unit1 unit = 15 min
So, time taken by B : = 4×15 = 60 min = 1 hrDistance = S × T = 50×1 = 50 km
If m persons working m hrs a day for each of the m days produce m units of work, then the units of work produced by n persons working n hours a day for each of the n days is
Each of the following questions consists of two sets of figures. Figures 1,2,3 and 4 constitute the Problem Set while figures A,B,C,D and E constitute the Answer Set. There is a definite relationship between figures 1 and 2. Establish a similar relationship between figures 3 and 4 by selecting a suitable figure from the Answer Set .
In the following problem, out of the five figures marked 1, 2, 3, 4 and 5, four are similar in a certain manner. However, one figure is not like the other four. Choose the figure which is different from the rest.
In each one of the other figures, the small line segment lies one space ahead of the dot, in a CW direction.
In the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of fig. (X) would complete the pattern.
Eight friends A, B, C, D, E, F, G and H are sitting around a circle facing the centre. H is to the immediate left of E who is third to the right of B. C is second to the right of D and is not a neighbour of B. F is second to the right of G and is not a neighbour of C.
Q. Who is second to the right of E?
In each of the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.
Q. f _ h i g h _ j h i j _ i j _ l _ k l m
Find the number in the series which is wrong.
6, 12, 36, 144, 722, 4320, 30240
6, 12, 36, 144, 722, 4320, 30240
The pattern should be
6, 6 × 2 = 12, 12 × 3 = 36, 36 × 4 = 144,
144 × 5 = 720, 720 × 6 = 4320, 4320 × 7 = 30240
Hence, the wrong entry is 722
Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.
The following table gives the enrolment in Higher Secondary Schools in 1978. Study the table carefully and answer these questions.
Q. What is the approximate percentage of schools, where the enrolment was below 120?
The following table gives the enrolment in Higher Secondary Schools in 1978. Study the table carefully and answer these questions.
Q. What is the approximate percentage of schools, where the enrolment was above 79 but below 180?
The following table gives the enrolment in Higher Secondary Schools in 1978. Study the table carefully and answer these questions.
Q. Under which class, the maximum number of schools fall?
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