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, 27  2017
13
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16. Which of the following statement is worng with
regard to common fractions?
a. In a proper fraction, the numerator and
the denominator are equal
b. In a proper fraction, the numerator is less
than the denominator
c. In an improper fraction, the numerator is
bigger than the denominator
d. A mixed fraction has a whole number
plus an improper fraction
Ans: d
Explanation: A proper fraction is that in which the
numerator is less than the denominator.
Ex: 1/3, 3/4, 5/9 (The value of a common fraction is
always less than one)
An improper fraction is that is which the numerator
is either greater than or equal to the denominator
Ex: 7/3, 9/2, 4/4, 6/5 (The value of an improper
fraction is always either greater than or equal to one)
A mixed fraction is that which has a whole number
and a proper fraction.
The total cost of the sweets?
Arithmetic
1. Which of the following numbers is prime.
a. 119
b. 187
c. 247
d. 367
2. A certain seven digit number has only
once in the once period, only threes in
the thousands period and only twos in
the lakh period. Write this number in
the international system?
a. Two million, two hundred thirty three
thousand, one hundred eleven
b. Twenty two million, thirty three
thousand, one hundred eleven
c. Two lakh, thirty three thousand, one
hundred eleven
d. Twenty two lakh, thirty three hundred,
one hundred eleven
3. On a Republic Day, the school gives each
student one chocolate costing one rupee
and on peppermint costing 50 paise. All the
students stood in one row, in which there
was only one girl who was in the twenty
second place from the front and 8th place
form the back. The total cost of the sweets?
a. Rs.46-50
b. Rs. 43-50
c. Rs. 43-60
d. Rs.44
4. Which one of the following statements is
correct? The number 7117299235
5340042332 is?
a. divisible by 2, but not by 11
b. divisible by 11, but not by 9
c. divisible by 9, but not by 11
d. divisible by 2, 9, 11
5. By correcting 13.2 + 2.76 to the nearest
tens' place, we get....
a. 15
b. 16
c. 1
d. 25
6. Match the sentences and the words
against them?
A. The value of these is less than 1
J. proper fractions
B. The numbers which are divisible by 2
K. Whole numbers
C.Area
L. Factors
M. Even numbers
N. Length X breadth
O. Place occupied by a closed figure
a. A-J, B-L, C-N
b. A-J, B-M, C-N
c. A-J, B-M, C-O
d. A-K, B-M, C-N
7. The product of two numbers is 2480 and
their HCF is 8, what will be the LCM of
the two numbers?
a. 310
b. 301
c. 31
d. 1240
8. The LCM of two numbers is 12 times
their HCF. The sum of the HCF and
LCM is 403. If one of the numbers is 93,
Then what is the other number.
a. 122
b. 124
c. 126
d. 128
9. A man leaves his estate to his wife and two
sons. If the wife receives 2/3 of the estate
and each son receives 1/2 of the reminder,
find the value of the entire estate in rupees,
if each son receives Rs. 40000 as his share.
a. 140000 b. 300000 c. 240000 d. 140000
10. Ruthwik spent 3/7 of his money on a
shirt and 1/2 of the remainder on a pair
of trousers. If he had rupees 23 left, how
much did Ruthwik spend altogether?
a. Rs.57-50
b. Rs. 54-50
c. Rs. 25
d. Rs. 74-75
11. Anjana bought some salt. She used 3/8
of it and had 625gr. left. How much salt
did she buy?
a. 100gr.
b. 1000kg.
c. 1000gr.
d. 100gr.
12. An amount of money is to be distributed
among A, B and C in the ratio 3:1:5. The
difference between B's share and C's
share is rupees 3600. What is the total of
A's share and B's share?
a. Rs. 2700
b. Rs. 3600
c. Rs. 4500
d. Rs. 5400
13. The price of 282 apples is Rs. 1974. What
will be the price of 24 dozens of apples?
a. Rs. 2016
b. Rs. 2106
c. Rs. 2160
d. Rs.2006
14. Three items are purchased at Rs.450 each.
One of them is sold at a loss of 10%. At what
price should the other to be sold so as to gain
20% on the whole transaction. What is
the gain percent on these two items.
a. 25% b. 30%
c. 35%
d. 40%
15. A train travelled from Secunderabad
railway station with a speed of 80km/hr.
and reached Tandur station in on the way
it stopped at 4hrs. Lingampally station for
5 minutes and at Vikrabad station for 7
minutes. Find the distance between
Secundrabad and Tandur.
a. 308km b. 305km c. 304km d. 316km
Explanations:
1. Ans: d
A prime number is number which has only
two factors, one and the number itself it is
also called 'unbreakable number' or
individual number.
The prime numbers between 1 and 100 are 2,
3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43,
47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
The prime numbers between 100 and 200 are
101, 103, 107, 109, 113, 127, 131, 137,
139, 149, 151, 157, 163, 167, 173, 179,
181, 191, 193, 197 and 199.
The prime numbers between 200 and 300 are
211, 223, 227, 229, 233, 239, 241, 251,
257, 263, 269, 271, 277, 281, 283 and 293.
Prime numbers between 300 and 400 are 307,
311, 313, 317, 331, 337, 347, 349, 353,
359, 367, 373, 379, 383, 389, 397.
The prime numbers between 400 and 500 are
401, 409, 419, 421, 431, 433, 439, 443,
449, 457, 461, 463, 467, 479, 487, 491, 499.
As of January 2017 , the largest known prime
number is 274,207,281 − 1, a number with
22,338,618 digits. It was found in 2016 by
the Great Internet Mersenne Prime Search
(GIMPS). Plot of the number of digits in
largest known prime by year, since the
electronic computer.
In the given problem...
The largest number is nearly less then 400.
and square root of 400 is 20
prime numbers less than 20 are 2, 3, 5, 7,
11, 13, 17, 19
119 is divisible by 17;
187 is divisible by 11;
247 is divisible by 13;
367 is divisible by none of them.
367 is a prime number
2. Answer: a
Explanation: In the indian system the number
can be written as 22,33,111.
the number can be re-written in the
international system as 2,233,111
the number in words is two
million, two hundred thirty
three thousand, one
For all
hundred eleven
comeptative
3. Ans: b
exams
4. Ans: d
Explanation: If a number has 0,
2, 4, 6 or 8 in its unit's place, then,
it is completely divided by 2
Since the units digit in the given number is
two, it is divisible by 2.
If the sum of all the digits in a number is
divisible completely by 9, then, the number
itself is divisible by 9.
Since sum of the digits= 72, is divisible by 9.
Hence, the given number is divisible by 9.
In a number, if the sum of the digits in alternate
places is equal to the sum of the remaining
digits, or, if the difference between the two
sums is a multiple of 11, then, the number
is divisible by 11.
Since sum of digits at odd places of a given
number = 36
Sum of digits at even places = 36
Difference= 0.
Hence, the number is divisible by 11
5. Ans: b
Explanation: The principle of correction to the
nearest value:- If a number is to be
corrected to certain place, we should see the
digit immediately to the right of the place.
If the digit is 5 or more, '1' should be added
to the digit in the place or if the digit is less
than 5 nothing needs to be added to the digit
in the place. After correction the excess
digits to the right should be removed.
In whole numbers:
Correction to the nearest unit's place:
9.1----> 9, 8.6---> 9, 10.9---> 11
Correction to the nearest ten's place:
33 ---> 30, 135---> 140,
Correction to the nearest hundred's place:
93---> 100, 250---> 300
6. Ans: c
7. Ans: a
LCM of the two numbers = Product/HCF
= 2480/8 = 310
8. Ans: b
Explanation: LCM = 12xHCF ------- (1) and
HCF + LCM = 403 ------- (2)
Sub. Eq (1) in (2)
HCF + 12HCF = 403
B.V.Ramana Director
AKR Study circle
Vikarabad, tandur
9441022571
13 HCF = 403
HCF = 403/13 = 31
LCM = 12x31 = 372, given number = 93
Other number = (LCM x HCF)/ Given number
= (372 x 31)/93= 124
9. Ans:c
Explanation: Let the value of the entire estate
be Rs. 'A'. then,
Part of estate received by wife = (2/3)A
remaining part = (A-2A/3) = A/3
Each of the two sons receives
(1/2)(A/3) = A/6
Given, A/6 = 40000
A = 240000 Rs.
10. Ans: a
Explanation: Amount = Rs. A
Expenditure, Shirt 3/7, Trousers 1/2
remaining = A x 4/7 x 1/2 = 23
amount A= 80.50
Expenditure = 80.50 - 23 = 57.50
11. Ans: c
Explanation: A x 5/8 = 625
A = 1000gr.
12. Ans: b
Explanation: Let the shares of A,B and C be
3t, t and 5t respectively.
given 5t-t = 3600,
4t= 3600,
t = 900
A's share + B's share = 3 x 900 + 900 = 3600
13. Ans: a
Explanation: 282 apples cost Rs. 1974
1 apple costs Rs. 1974/282
24 dozens apples cost = 1974/282 x (24x12)
= Rs. 2016
14. Ans: c
Explanation: C.P of one item = Rs. 450
C.P of three items= 3x450 = 1350
gain on the whole transaction = 20%
S.P of the three items= (1350x120)/100 = 1620
C.P of one item= Rs. 450, Loss = 10%
S.P of that item= (450x90)/100 = 405
S.P of remaining two items= 1620 - 405 = 1215
C.P of these two remaining items= 2 x 450= 900
gain on these two items = 1215 - 900 = 315
gain percent = (315/900) x 100 = 30%
15. Ans: c
Explanation: Distance covered per unit
time is called speed.
i.e., speed = distance/time or distance
= speed x time or time
= distance/speed
Distance = speed x time = 80 x 4 = 320km
5min + 7min = 12min
1hr = 80km
i.e., 60min ----> 80
1min----> 80/60 = 4/3
12min ---> (4/3) x 12 = 16
distance between secunderabad, Tandur
= 320-16 = 304km.