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A 6 mlong vertical pole casts a shadow of 4 m. At the same time, a tower casts a shadow 25 m long on the ground. The height of the tower is :
Two circles of radius 37 cm and 20 cm intersect each other at P, and Q. O and O’ are the centres of the circles. If the length of PQ is 24 cm, then the distance between their centre is:
OP= 37 cm and O'P = 20 cm
PQ = 24 cm
PM = MQ = 12 cm
O'M = 16 cm
OO' = OM + 0'M
OO' = 35 + 16 = 51 cm
Concentrations of three solutions A, B and C, are 20%, 30% and 40%, respectively. They are mixed in the ratio 3: 5: x resulting in a solution of 30% concentration. Find x
⇒ 2.1 + 0.4x = 0.3(8+x)
⇒ 2.1 + 0.4x = 2.4 + 0.3x
or, x = 3
In which of the following is p > q?
I. (0.9)^{p} > (0.9)^{q}
II. (1.8)^{p} < (1.8)^{q}
III. (8.5)^{p} > (8.5)^{q}
IV. (1/2)^{p} < (12)^{q}
If (N)^{p} > (N)^{q} when N > 0 and positive integral
= p > q
If (N)^{p} > (N)^{q} when N > 0 and fractional
= p < q
If (N)^{P} < (N)^{q} when N > 0 and positive integral
= P < q
< If (N)^{p} < (N)^{q} when N > 0 and fractional
= P > q
Using these results, we get option C is the correct answer.
There are some rabbits and some pigeons in a zoo. If their heads and feet are counted, the number of heads is 90, and their feet are counted, then their number of feet is 224. Tell me, how many rabbits are there in this zoo?
Ratio = 22 : 68
That is, the number of rabbits is 22.
A shopkeeper marks the price of an article at Rs. 320. Find the cost price if, after allowing a discount of 10%, he still gains 20% on the cost price.
Discount= 10%
Selling price = 320 x 90/100 = 288 Rs.
Profit is given = 20%
So , C.P. = [100/ (100 + Gain%)] x S.P
CP = (100/120 )x 288 = 240 Rs.
With the increase in the price of a pressure cooker by 20%, its sale decreases by 50%. How much of a shopkeeper will earn less or more income from the past?
=  30  10
=  40%
Percentage decrease in income = 40%
If '' stands for division, '+' for multiplication, ' ÷ ' for subtraction and 'x' for addition, which one of the following equations is correct?
After replacing signs,
18 ÷ 3 × 2 + 8 − 6
⇒ 18/3 × 2 + 8 − 6
⇒ 12 + 8 − 6
⇒ 14
From a container, 5 litres of wine was drawn out and was replaced by soda. Again 5 litres of the mixture was drawn out & replaced by the soda. Thus the quantity of wine and soda in the container after these two operations is 9:16. The quantity of the mixture is
k = 12.5 litres
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
Then, number = 10x + y.
Number obtained by interchanging the digits = 10y + x.
∴ (10x + y) + (10y + x) = 11(x + y), which is divisible by 11.
The sum of the 28th, 29th and 30th terms of an Arithmetic Progression, which has 57 terms, is 111. Find the arithmetic mean of the progression.
Hence, the required mean 111/3 = 37
Mahesh grows potatoes in his backyard, which is in the shape of a square. Each potato takes 1 cm2 in his backyard. This year, he has been able to grow 137 more potatoes than last year. The shape of the backyard remained a square. How many potatoes did Mahesh produce this year?
x^{2 }− y^{2} = 137
(x+y) (xy) = 137 x 1
x + y = 137  (i)
x  y = 1  (ii)
On solving eq. (i) & (ii), we get
x = 69, y = 68
No of potatoes produced this year = 69^{2} = 4761
The dimensions of a luggage box are 80 cm, 60 cm and 40 cm. How many sq. cm of cloth is required to cover the box?
where l = length,
b = breadth,
h = height of the cuboid
Let the length, breadth and height of the luggage be l , b, h respectively
Here, l = 80 cm, b = 60 cm, h = 40 cm
Therefore, area= 2(80 x 60+60 x 40+40 x 80) cm^{2 }
= 2(4800+2400+3200) cm^{2}
= 2 x 10400 cm^{2}
= 20800 cm^{2}
20800sq. cm of cloth is required to cover the box
In how many years will 800 rupees 10% annual compound interest rate be 926.10 if interest is biannually combined?
t = 3
Hence Required year = 3/2 = 1.5 year.
A shopkeeper earns a profit of 12% on selling a book at a 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
and the cost price of the book will be Rs. y.
According to the question,
90% of x = 112% of y
Hence, required ratio = 45 : 56
What is the mode of the following list of numbers:
52, 54, 55, 56, 55, 54, 53, 55, 53, 51, and 57 ?
So 55 is the mode as it comes 3 times.
In an election, there were only two candidates. One of the candidates secured 40% of the votes and was defeated by the other candidate by 298 votes. The total number of votes polled is?
Let the total number of votes = 100
20 units = 298
1 unit = 298/20
100 units = 298/20 x 100 = 1490
Read the following graph carefully and answer the question given below.
Q. For which year, the percent increase of foreign exchange reserves over the previous year is the highest?
Read the following graph carefully and answer the question given below.
Q. The ratio of the number of years in which the foreign exchange reserves are above the average reserves to those in which the reserves are below the average reserves is?
The country had reserves above 3480 million US $ during the years 199293, 199697 and 199798, i.e., for 3 years and below 3480 million US $ during the years 199192, 199394, 199495, 199556 and 199899, i.e., for 5 years.
Hence, required ratio = 3 : 5.
Read the following graph carefully and answer the question given below.
The foreign exchange reserves in 199798 were how many times that in 199495?
D is 4 years younger than B, and C is 4 years older than A. A and B are twins. If the average age of all the four boys is 11 years, then the sum of the ages of the youngest and the oldest boy is
Age of D = y4 years
Age of C = y+4 years
Then,
y4+y+y+y+4 = 4 x11
y = 11
Sum of ages of the youngest and oldest boy = 7+15 = 22 years
Find the LCM of the following fractions: 2/3, 8/9, 16/27, 32/81
Present ages of Ajit and Amar are in the ratio of 8: 7, and after four years, the ratio of their ages will be 9: 8. Find the present age of Amar?
according to the question,
64x + 32 = 63x + 36
⇒ x = 4
So,
Present age of Ajit = 8 x 4 = 32 years
Present age of Amer = 7 x 4 = 28 years
Read the following information carefully and answer the question given below
In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social Studies, 24% in Biology and English, 35% in English and Social Studies, 27% in Biology and Social Studies and 5% in none.
If the number of students in the class is 200, how many passed in only one subject?
Let people who passed all three be x. Then: 53 + 61 + 60  24  35  27 + x = 95
x = 7
Percentage of student passed only in 1 subject = 9 + 9 + 5 = 23%
Now 23% of 200 = 46 students
Read the following graph carefully and answer the question given below.
The number of mobile sim cards in 4 states are given in multiple bar diagrams.
In Assam, the ratio of Aircel sim card and Airtel Sim card sold is:
In Assam, Airtel sim cards sold = 5 lakhs
The Ratio of Aircel and Airtel sim cards sold = 2/5 = 2:5
Read the following graph carefully and answer the question given below.
The number of mobile sim cards in 4 states are given in multiple bar diagrams.
In Which state are there the largest number of owners of Airtel sim card?
Largest No. of owners of Airtel sim cards= 13 lakhs
(Tamil Nadu)
Marked price of articles ‘P’ and ‘Q’ are Rs. 50 and Rs. 35 respectively. With every article of ‘P’, 2 pencils worth Rs. 3 each are given free and with every article of ‘Q’, 3 pens worth Rs. 5 each are given free. If a customer buys 3 articles of ‘P’ and 2 articles of ‘Q’, what is the approximate discount percentage?
Total price = 50 x 3 + 6 x 3 = Rs. 168
With 2 articles of Q, 6 pens are given free
Total price = 35 x 2 + 6 x 5 = Rs. 100
Total Price of all product = Rs 268
Discount given = 18+30 = Rs 48
Discount Percentage = 48/268×100 ≈ 18%
The cash difference between the selling price of an article at a profit of 2% and 12% is Rs. 3. The ratio of two selling prices is:
If profit is 2%:
Selling price (S.P.) of the article = x + (2% of x) = 1.02x (∵ S.P = C.P + Profit)
If profit is 12%:
Selling price (S.P.) of the article = x + (12% of x) = 1.12x
Cash difference between the above S.P’s = Rs.3
⇒ 1.12x – 1.02x = 3
⇒ 0.1x = 3
⇒ x = 30
The ratio of two selling prices = 1.02x : 1.12x = 51 : 56
∴ The ratio of two selling prices = 51 : 56
In a certain code language, ‘POETRY’ is written as ‘QONDSQX’ and ‘OVER’ is written as ‘PNUDQ’. How is ‘MORE’ written in that code language?
As
Similarly,
Which of the answer figures is embedded in the problem figure?
Question Figure:
Answer Figure:
Arrange the words given below in a meaningful sequence.
1. Key
2. Door
3. Lock
4. Room
5. Switch on
Which of the given answer figures will be the correct mirror image of the problem figure?
Question Figure:
Answer Figure:
DIRECTIONS: Which of the words in the following options can be formed using the letter of the given word?
DETERMINATION
There is no ‘L’ in the given word. So, NATIONAL cannot be formed.
There is no ‘V’ in the given word. So, DEVIATION cannot be formed.
DIRECTIONS: Solve the following letter series.
adb _ ac _ da _ cddcb _ dbc _ cbda
DIRECTIONS: Choose the odd one out from the given alternatives.
DIRECTIONS: Choose the odd one out from the given alternatives.
Arrange the following words according to the English Dictionary.
(1) Save
(2) Sausage
(3) Saviour
(4) Savour
(5) Savage
DIRECTIONS: Find the odd one out from the given alternatives.
343 = 7 × 7 × 7
64 = 4 × 4 × 4
27 = 3 × 3 × 3
Select the correct combination of mathematical signs to replace * signs and to balance the given equation:
15 * 24 * 3 * 6 * 17
15 * 24 * 3 * 6 * 17
After applying, + ÷ – =
15 + 24 ÷ 3 – 6 = 17
⇒ 15 + 8 – 6 = 17
⇒ 23 – 6 = 17
⇒ 17 = 17.
DIRECTIONS: In the question is given below, an unfolded dice is given on the left side, while on the right side, four answer choices are given in the form of complete dice. You have to select the correct answer choice(s), which are formed by folding the unfolded dice.
Hence, only option (d) is correct.
Pointing to a girl in a photograph, Sunita said, "She is the mother of Renu, whose father is my son". How is Sunita related to that girl?
Rihana walks 3 km from her house in the East direction to reach the bus stop. She takes a bus and goes 17 km ahead. After getting down from the bus, she walks 2 km on the left side to reach the spot where she meets Santa. Santa and Rihana take a right from that point and travel 3 km to reach the marketplace. After shopping, they turn right from the market and walk 2km to reach Sanita house for a cup of tea. What is the straight line distance between Rihana’s house and Sanita house?
Select the correct order of the letters as indicated by the numbers to form a meaningful word.
GAMBLE
DIRECTIONS: Select the related word from the given alternatives.
BDGK : CEHL :: ???? : DFIM
Same Way
DIRECTIONS: Which of the words in the following options can be formed using the letter of the given word?
CORRESPONDING
There is only one ‘S’ in the given word. So, RESPONSE cannot be formed.
DIRECTIONS: What will come in place of question marks?
20, 20, 19, 16, 17, 13, 14, 11, ?, ?
1st series:
2nd series:
DIRECTIONS: What should come at the place of the question mark?
N5V, K7T, ?, E14P, B19N
DIRECTIONS: In the question below are given a few statements followed by few conclusions. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements:
All kings are queens.
Some queens are soldiers.
All soldiers are strong.
Conclusions:
I. Some strong are kings.
II. Some queens are strong.
∴ only Conclusion II follows
In the question, select the related digit from the given alternatives.
24: 60:: 120:?
24 x 5 = 120
Similarly,
60 x 5 = 300
How many triangles are there in the following figure?
Thus there are 23 triangles.
AEF, AGF,DEF,
AED,AEG,GJF,
GJH,GFH,FGD,
FDH,FJD,JHD,
GHD,GBH,BHC,
GBC,BCD,DCH,
GED,GDC,ADB,
AGD,BGD
In a certain code language, 'POULTRY' is written as 'PRQXNVTY'. How is 'TREASON' written in that code?
As
Similarly,
Solve the given letter series
W64X49, M100N81, O144P121,?
DIRECTIONS: The following questions are based on the diagram given below.
The nonAsians who know English are represented by:
Which of the following rivers does not make an estuary?
Which of the following country's governments passed the "Hindu Marriage Bill 2016"?
Hindu Marriage Bill tabled in Pakistan’s National Assembly.
The bill was approved by the standing committee in 2016.
The bill is expected to put an end to the practice of abduction of married Hindu women.
The bill is also expected to curtail forced conversions because it will allow the registration of Hindu marriages in the relevant government departments.
Who among the following has been appointed as parttime chairman of the YES BANK?
Which district of Arunachal Pradesh recently achieved 100% electricity under the Saubhagya Scheme?
Researchers have recently found the world's first fully warmblooded fish. Which of the following is the kind of fish?
The atomic power station, which is known for an FBTR (Fast Breeder Test Reactor), is ____?
The following character of mercury makes it suitable to use in barometers, unlike the water is_______?
Which of the following organisations were NOT formed outside India to help in the struggle for Indian independence?
Which of the following franchises has won the Premier Badminton League Season 4?
The Concept of Suspension of Fundamental Rights in the Indian Constitution has been taken from which Country’s Constitution?
The Concept of Suspension of Fundamental Rights in the Indian Constitution has been taken from Germany.
What is called the small grasslands on the slopes of the Lesser Himalayan range in Jammu and Kashmir?
Comptroller and Auditor General of India is appointed by ______.
Out of 245 members of Rajya Sabha, how many members are elected?
The constitution of India refers to the budget as the ______.
A person can jump higher on the moon's surface than on the earth because:
When something is dropped, it does not fall with a uniform ______.
According to Avogadro’s law, which one of the following is correct?
(A) V ∝ 1/p
(B) V ∝ T
(C) V ∝ n
(D) All of the above
It is more difficult to walk on sand than on a concrete road because?
(A) Sand is soft.
(B) There is less friction.
(C) There is more friction.
(D) None of the above.
The average distance of the earth from the sun is ……………… Km.
PWM switching is preferred in voltage source inverters for the purpose of:
Which of the following is used as a moderator in a nuclear reactor?
The value of gravitational constant represented by G is:
Which is the part of the digestive system of humans?
The percentage composition of carbon in urea, CO(NH_{2})_{2} is __________
(A) 40 %
(B) 30 %
(C) 20 %
(D) 10 %
60 gm of urea contains 12 g of carbon
Mass percentage of Carbon in Urea =
= 12/60 x 100
= 20%
Which variety of coal contains the highest percentage of carbon?
In which following processes light energy is converted into chemical energy?
The acceleration due to gravity on the moon is approximately _______ .
Nuclear reactors used to produce electricity are based on_______ .
What is the mass of 0.5 moles of ozone molecules?
0.5 mole of (O_{2}) = ?
0.5 mole of (O_{2}) = (0.5 x 48)/1 = 24g
Which of the following has the least penetrating power?
When a bullet is fired upward vertically, it gains _______.
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