Experience Requirements

Mathematics Studies MCQs for Written Test of Cadet College Admissions in 4th , 5th class , 6th class , 7th class,9th and 10 th class These MCQs are helpful for admissions in Cadet College and boarding schools in class 4 , 5 ,6 , 7 , 8 , 9 and 10th . Most important MCQs of math and Mathematics
KALEEM SERIES tin equal d. None 333. pie- graph is divided In to_ a. Sectors b. rectangles d. square represent data In veillonl and
263 347. A=(12,3) and B-(1,2), then, NB= it( 12) b.(1,2,3) c.(1) d.{3) 348. In Venn shapes the considered set is usually expressed by a. Rectangular c. Triangle 349. AUN= a. U b. IT C.0 (empty) dry 350. The set Is which both the elements of A and B are present is called a.AUB b.A n B c.NB d. vJ (empty 351. is expressed by pig shape. a.Rational b.Irrational c.Even d.Compound 352. All the whole are rational numbers. a.Wholo b.Zoro c.Incorrect d.Un known 353. 1/2 2/3 are the examples of numbers.

c. chords
baniOalal bars. aa9YMil b. plo•gmph c. live-graph d. None 335 The collection of clear and distinct objects is called • a Equal b.Compound c.Set 336. Sets are usually denoted by
letters. a. Small letter c. Both A and B 337. There are
d.Dilferent English
b.Capilal letters of d. Non of these ways for writing sets.
Maths

b. Square 0. Circle
a.2 b.1 c.4 d.3 a.Even b.Rallonal c.Odd d.lrrational 338. Expressing a sent in a sentence is called 354. The set of fractions is called . method. a.primo birrational c.compound d.ratIonal a.Natural b. Set builder notation 355. By adding two rational numbers, the answer c.Tabular d. Descriptive Is always a/ an number. 339. A=(a.e.i.o,u)this method of writing a set is a.irrational bsational c.compound d.prime called 356. a and-a are called of each other. a.Natural b.Set builder notation a.additive inverse b.multiplicative inverse c. Tabular d. Non of these c.commulative property d.non of these 340. A=(x is a natural number) this method of 357. is additive identity. waling a set is called ' . a.1 b_0 c.2 d.-1 a.Set builder notation b. Tabular 358. 1/2+1/2= c. Descriptive d. Non of these ga b. 1/4 c.2/4 d.3/4 341. A=(x/xe A 4 x e B) this method of writing a sot 359. is multiplicative identity.
is called b.NB c.An B d.A=B 342. A n B means the of two sets. a.Union b. Intersection c. Overlapping d. Difference 343.11 A=(1,2} and B=(2,3} then, AUB= altaa b.{3} c.(2) d.{2,3} 344. If A and B are not equal sots, then. A/ NB. a- = b.* c. 0 d.0 345. A'UA= a. Empty set b.0 c. N 346. U-U= a b.0 c.0 d.*
a.0 b.1 c.-1 d.2 360. a+b=b+a is property w.r.t. addition. a.commutative b.assocIalive c.distributive d.non of these
361. a+(b+c)=(a+b)?c is addition. a.commulative B c.distributivo 362. The LCM of 9 and 6 is a.12 b.15 c.18 d.9 363.5/8+(-5/8)= 8.1 itst • c.25/64 364. Those rational numbers whose sum is___ are additive Inverse of each, other. samcli;/..,;(ristst..
property w.r.t.
b.associative d. non of these
d.10/16
KALEEM SERIES a.1 b.0 c.•1 365. The LCM of 5.15.2,10 is_ a.15 b.30 c.5 d.0 366. The multiplicative inverse of 1/4 Is a.4 b.-4 c.1 d.0 367. 174 can be written like a.0.5 b.0.25 c.0.52 d.0.55 368. The number in which few digits are there after decimal point is called a. terminating b.non terminating c.finite d. infinite 369. 0.333 is non terminating and a.terminating b.non terminating c.recurring d.non of these 370. The numbers which by division repeated group of digits is called a.Terminating b. non terminating c.recurrinq d. non recurring 371. 5.2568 can be written through rounding oft data a. 5.2 b. 5.3 c. 5.4 d. 5.5 372. 5.2777 can be reduced to two decimal level and can be written as a.5.27 b.5.28 c.5.277 d.5.3 373. 1/9=0.1111 thus this Is decimal number. a. finite b.infinite cierminating d.recurrinq 374. To get approximation of numbers is called_ a.recurring b.terminating c.rational d.roundinq off 375. 6.5 is a fractional number. a. terminating b. non terminating c. recurring d. non recurring 376. The division which gives us 0 as decimal number. c.-1 d. none of these
d.2
264
give a •
remainder is a.1 b.0 377. erra- = C. d. n"
a. u" b. u" 378. ar.(10)0 a. a b.10 c.0 d. none of these
379. 0-4- = a. (obi" b. a,+ b1• 380. a" / a"
• c.n(ab) d.(ab)
•ILL h.,,-381. ,,-
382. a.0 383. a.4 384. 2' = a.16 385.
b.0 2• the power Is b.2 2' the base is b.2

c-a d. none of these
c.4
c.16
d.16
do
b.8 c.3 d.2 is also called power or decimal. a.Base b.Value c.Eent atone 386. 1., 2: a. 2` b.12 c 2' 387. (-2), -24. a. = 11=2 c.empty tho 388. zof a.12 b.16 389. x5) - a. s" 'b. r" 390.t000' = b.1000 391. (-2)' = a.16 b.-16 392. (-2) = a. -6 b.6 393. (21 = a. -16 b.16 394.1x001= a.10 b.2 395. (I-21')'. a.32 b.-32. c.64 d.-64 396. Perfect square of 5 is a.20 b25 c.15 d.35 397. Every number has a square. a.whole b.natural c.odd d.rational 398. Perfect square is of every non number a.positive b.negative csational d.whole 399. (25)" = a.125 b.625 c.25
d.16
c.18
c. 5
c.0
c.-8
c.8
c.-8
c.1
d.20
d.none
d.8
d.-8
d.8
d.0
400. 21)(2:z7:=78•Ilui a.imperfect square c. faulty square 401. The square of an a.odd b.rational
d.225
_ • b.erfect s uare d. complete square even number is___.- _ c.whole (Leven
KALEENI SERIES equation. a. variable c permanent 472. IS -- - a linear equation in a • : - variable. a. is c.both are correct d. both are incorrect 473, Two angles are If they have a common side and a common vertex. a ad scent b.vertically opposite c.cemplementary d.supplementary 474. A pair of angles whose sum is called complementary. a.80 b.180 c.90 475. 20 degrees and are complementary agtes. a.70 b.80 c.160 d.90 476. A pair of angles whose sum is is called supplementary angles. a.180 b.90 c.80 d.190 477. 40 and are supplementary angles together. a.140 b.120 c.90 d.180 478. The sum of angles inside the triangle is . a.90 b.180 c.190 d.80 479. In case of congruency the two angles are in quantity. a. different b.same c.both are correct ' d.both are incorrect 480. The of a circle is the distance from the center of a circle to any point of the circle. a. diameter b.radlus c.segment d.none 481. The distance between any point and the center of the circle is called a.hypotenuse b.dlameter c.radius d.none 482. A is a shape in which all points are at the same distance from centre. a.triangle b.square c.rectangle d.cIrcle 483. The diameter of a circle Is double of a.hali b.double &radius d.four limes/ quadruple
267 Maths 404. geometry provides basis for anglneering and designing a.oral practical c.malhemalical d.none .105 The sum of fractions of 5:4:3 is a.3 b.4 c.12 d.5 480. An equilateral triangle has degrees in all its three angles. a.30 b.60 c.120 d.90 487. An/A equilateral triangle has all its sides in length. a.equal b.different c.miscellaneous d.variable. d.190 488. Isosceles triangle has sides equal in
b.actual d. constant
b.not
size. a.3 b.2 c.1 d.none 489. The third side of isosceles is from the two of its sides. a.similar b. different c.both are correct d.both are incorrect 490. In equilateral triangle no angle Is of a.90 b.180 c.60 d.30 491. In equilateral triangle the sides against each other are in length. a.equal b.different c.both are correct d. both are incorrect 492. In m Ilx- 9x= 46 2n 46 x=23 9. Answer (a)
Total sale for 5 months = Rs (6435 • 6927 • 6855. 7230 • 6562) = Rs. 34009. . Required sale = Rs 1(6500 x 6) - 34009 1 = Rs. (39000 - 34009) = Rs 4991
10. Answer (c) let the average expenditure of an nine be Rs x Then 12'8 +(x+ 8): 9xor 8x= 104 orx= 13. Total money spent = 9x = Rs (9' 13): Rs.117. 11. Answer (b)
Let P, 0 and R represent their respective monthly incomes Then, we have P + 0 = (5050 x 2) = 10100 .... (i) Q • R = (6250 x 2) = 12500 (u) P•R=(5200‘ 2)=10400._ (iv) Adding (i), (ii) and we get 2(P • 0 + R) = 33000 P • 0 + R = 16500 . (iv) Subtracting (ii) from (iv). we get P = 4000. 12. Answer (a)
Total quantity of petrol consumed in 3 years 4000 4000 400 2 1 2 (7. 80 + 8 0 IT.T0) litres = 4000 (Th • • if) titres - 7 5100J luresTotal amount spent = Rs (3 x 4000) = Rs. 12000 12000 x 51) 6120 .. .Average cost = Rs. ( 76700 - Rs. 767 -
7.98 13. Answer (d) Let Arun's weight by X kg. According to Arun, 65 19915 r..) 39.8_
2. Answer (I)
(d) 285
(282 (3 2 x 10)) 250 Required run rate - 40 J- 40 "4 6 25
(66 4 67 + 681 (201) Required average 3 ) 3 ) 67 kg 14. Answer (c) let tee be x pupils in the class, 1 x Tow increase in marks = (xx 21-
-i:(83 -63) 9= 20 x=40 15. Answer (d) Since me month begins with a Sunday, to there will be five Sundays in the month. 510 x 5 + 240 x 25 550 Required average ( 30)- 8 30
237 Maths
SQUARE ROOT AND CUBE ROOT Square Root: II x1 y, we say that the square root of y is x and we write Nry = x Thus, ?,1-4 = 2, 4§ = 3, \fig r 14 Cube Root: The cube root of a given number x is the number whose cube is x. We. denote the cube root of x by x. Thus, 3Nr8 = 32rri 2 = 2, 34343 = 7 )347;"/: 7 etc • Note:4xli = 4-x4-y
285 1 2. EXERCISE The cube root of .000216 is: (a) .6 (b) .06 (c) 55 (d) 66 x „F a What should come in place of bothxin the equation —r--- - v128 x(a) 12 (b) 15 (c) 82 (d) 100 3. The least perfect square, which is divisible by each of 21, 36 and 66 is: (a) 213444 (b) 215342 (c) 216343 (d) 216345 4 II 3 4-5 +125= 17:88. then what will be the value °VIC+ 64.5? (a) 10.25 (b) 15.28 (c) 18.30 (d) 22 35 5. 'fa= 0.1039, then the value of g4,32- 4a4 1+ 3ais: (a) 0.1140 (0) 0.1240 (c) 1.1039 (d) 1.1340 6. The square root of (7 + 4-5)(7 - 34-5) is (a) 3 (b) 2 (c) (d) 0 7. 10 r 11-15= 2.236, then the value of + v125 is equal to: 2 \ft (a) 4.29 (b) 7,826 (c) 8.724 (d) 9.992 8. Error! is equal to: (a) 5 (b) (c) 9 (d) II 9 = 1.3. Find x. (a) 0.10 (b) 100 (c) 10000 (d)Byx)
2 ; 10. (.Fv4 —T3) simplifies to:
KALEEAT SERIES a, 1200 b. 0000 c. 2400 41. 1200 mid night at. How many 131011110s are there in 3 hour 30 minutes? C. 160 190 a.200 b. 210 92. The division of number of days by 7 converts it into: a. Year b. Months c. Weeks I. Hems 93. Then: arc months in two years. a.12 b.19 c.24 94. 71,-irhof a month = a. Year b. Month c. Day 95. The price of a pen is Rs,20 find the price of 15 pens. a. As 150 b. As 200 c. As 250 d. Rs 300 96. The cost of one dozen eggs is 65. Find the cost of 5 dozens of eggs. a. Rs 250 b. As 280 c. As 300 d. Rs 325 97. Numerical relationship between two quantities having the same units is called. a. Fraction b. Percentage c. Temperature d. Ratio 98. If ratio is multiplied or divided by the same number it. a. It does not change c. It increases 93. Ratio has the unit. a. cm b. m c. dm d. has no unit 100. The length of one rod is 5m, the length of 5 such rods will be; a. 5m b. 10cm c. 15m d. 25m 101. Price of 10 books is 550 rupees, the price of such 15 books Is; a. 655 b. 725 c. 825 102. The ratio of boys to the girls in the class is 3:4. If there are 27 boys then the girls will be; a.12 b.36 c.40 d.45 103. The fourth proportional of 2,3 and 4 Is: a.2 b. 6 • c.8 d.12 104.The word Geometry has been derived from. a. Latin words b. Greek words c. English word d. German words 105. The word geometry means. a. The measurement of book
255 b. Ilie measurement of ruler c. The measurement of Earth d. rho innasinoinent of moon lug. An mint° measuring foss Man 90 is called. a. Acute Angle b. Flight angle c. Obtime angle rl. complementary angle 107. An angle whose measure is greater than 00 but less than ISO is called. a. obtuse angle b. right angle c. Acute angle d. equal angle 108. An angle measuring 180 is called. a. Straight line b. right angle c. Obtuse angle d. Acute angle 109. An angle measuring 360 is known as. a. Straight angle b. Complete angle c. Right angle d. Obtuse angle 110. An angle measuring greater than 180 but less than 360 is called. a. straight angle b. complete angle c. Acute angle d. Reflex angle 111. The unit of measuring angle is. a. degree b. ratio c. proportion d. triangle 412. A complete rotation is divided into. b. 250 equal parts d. 360 equal parts
d. 30
d. Week
b. It changes d. it decreases
d. 925
Maths
a. 200 equal parts c. 300 equal parts 113. II sum of two angles is 90C the angles are called. a equal b. bisector c. complementary angle d.supptementary angle 114. II the sum of two angles is 180 the angles are called. a. acute b. abtuse c. right angle d. supplementary angle 115. If the three sides of a triangle are equal in length It is called. a. Square b. equilateral c. obtuse d. triangle 116. Parallelogram In which all four sides are equal Is called. a. square b. quadrilateral c. rhombus d. parallelogram 117, A quadrilateral having two and only two sides parallel is called. a. Trapezium b. Rhombus

KA LEEN! SERIES
176. A number is exactly divisible by last digit is zoo. a. 3 b. 4 C. 10 d. None of those 177. A number is exactly divisible by 11 the last two digits arc other 0 or divisible by 25. a 30 b. 25 c. 8 d. None 178. The highest number, which Is a common factor of two or more numbers is called a I. C.M b. H.C.F c. Multiple d. None 179. The least number which is the multiple of two or more than Iwo numbers is a. H.C.F b. multiple c. L.C.M d. None 180. Which of the following is a prime number. called numbers. a. 8 b. 4 c. 2 d. None of these a. Natural b. even c. integers d. None 181. The weight of Astern is 30 kg whereas the 196. Numbers greater than zero are called weight of his father is 60kg. Find the ratio of their a. Positive Integers b. negative integers weights? c. odd numbers d. None a. 1:2 b. 1:3 c. 1:4 d. 1:5 197. Absolute value of a number x is denoted by 182. There are 40 girls and 10 boys in a class. b. -x c.Itl d. None
258 Math%
II the fife called prime number. a Primo b. composite c.even d. None 192. Numbers which are multiple of 2 are cam a. Prime b. odd _numbers. c. oven d. tione 193. .....- is a number which divides IM dividend completely. a. Multiple ta c. remainder d. None 194. Numbers which are not multiple of are called odd numbers. a 2 b. 3 c. 4 d. None 195. Number of the form (-2, -1, 0.1.2.3--) are
find the ratio of girls to the boys? a. 3:5 b..4:1 c. 4:3 d. 4:5 183. The ratio of two quantities is 3 : 8 , if the first quantity is 12, then find the other. a.30 b.31 c.32 d.34 184. Price of 4 kg of apples is Rs. 120. What will be the price of 9 kg of apples? a. Rs210 b. Rs. 370 c. Rs.270 d. Rs.276
185.20 persons can complete a work In 16 hours. How many hours will it lake to complete the work if 4 persons leave the work? a. 14 hrs b. 16 hrs c. 19 hrs d. 20 hrs 186. A person digs a tunnel of 16 km in 4 days. In how many day will be dig the tunnel of 24 km
ale.n2g days b. 4 days c. 6 days. d. 8 days 188. Which of the following is a factor of 36. a. 8 b. 12 c. 15 d. None 189. Which of the following numbers is not an even number a. 2100 b. 59372 c.48629 d. Nona 190. Which of the following numbers Is not divisible by 3. a. 1512 b. 1645 c. 1023 d. None 191. Tho number which have only factors
a. x; 198-1-11' a. -4 199. -7
a.
b. (-4 -9 b. d.None 290. An equation in one variable, whore the exponent of the variable called a linear equation. b.0 c.2 d.None 291. Equation with some solution are called equations. a. Equivalent b.linear c.algebraic d. None 292. If x+5 = 8 then x= a. b. -3 c.+3 d.None 293. h • ni =0 is an example of equation. a.Llnear b.equivalent c.simple d.None 294. A B is a aline b.line segment c.ray d.None 295. A 4.--) f I is a a.Line segment b.line c.Ray d.None 296. A line which divides a live segment Into two equal parts and also make an angle of is called
Maths
a. Mono nominal b. binomial c. trinomial d. None 282.5x: + 3x = a. 2x; b. 8.x: C.15xl d.None 283. (2x) = a. 5s' b. 6.0 284. 3 d. None 239. In at. a is called a. Antecedent b. consequent c. factor d. None 240. In at c:d b and c are called a. Means b. extreme c. Factor d. None 241. In a:b, b is called a. Consequent b. antecedent c. numerator d. None 242. Comparision of Iwo ratio is called a. Quality b. proportion c. Division d. None 243. Lowest form of 60:30 is a. 6:3 b. 1:2 c. 2:1 244. at and at are ' a. same b. different c. opposite 245. at c:d is same as a. a/c = d/b b. axd = bxe c. ab=cd d. None 246. in x : 12 :: 3:4 then x = a.36 12.1 c. 24 d. None 247. Two quantities are directly proportional each other if one quantity increases the other_
d. None
d. None
260 Maths _ a. Ratio b.Proportion c.Multiplication 5d.None 254. In :: c:d. a and d are called. a. Extreme b. moans c. factor d. None 255. The symbol % is used for a. Ratio b. proportion c. percentage d. None 256. Percentage means out of a.100 b.I0 c.1000
d.None
257. 5% means a.5/10 b.5/100 c.5 d.None 258. The price which is paid to purchase a commodity is called a.Cost price b. Selling price c. Prolit d. None • 259. If sale price cost price, we have a. Loss b. profit c. high sale d.None 260. Markel price - sale price = a.Profit b.Loss d. Discount d.None 261. Profit / cost price x 100= a. Prolit percentage b. loss percentage c. sale price d. None 262. S.P - C.P= a. Profit b.Loss c.percentage loss d.None 263. II sale pricex = 15 x 12 = 180. (ha -31of I of x 15 o required Po x 180) = 54 sjred number =
5 Anwar (d) Three integers bex,x+ 2 andx+ 4.
Let lbe no 31= 2(x+ 4) + 3 tx= 11. . Third integer tx + 4 = 15. 3. Answer (b) Let the ten's digit bexand units digit bey. Then, (10x+y) - (10y+x) = 36 9(x-y) = 36 o x-r 4. &Answer (b) Since the number is greater than the number obta:ned on reversing the digits, so the ten's digit is greater than the unit's digit. Let fen's and units digits be 2xandxrespectively. Then, (10 x 2x+ x) - (10x+ 2x) = 36 9x=36 x=4 Required difference = (2x+x) - (2x-x)= 2x= 8. 5. Answer (b)
Lt the ten's and unit digit be x and 8; respectively. Then, (10x+D+ 18 = 10 xi+ x 10/2+8 + 18x= 80 +x2 90+18x-72=0 x2+2x- 8=0 (x + 4)(x- 2) = 0 x=2. 6. Answer (d) Let the ten's digit bexand units digit bey. Then,x+y= 15 andx-y= 3 or y-x= 3. Sd'AnOx+y--' 15 and x-y= 3, we get.x= 9,r 6. Selvingx+r-- 15 and y-x= 3, we get x= 6, y= 9. So• me number is either 96 or 69. Ht:rice, the number cannot be determined., Answer (a) Let the numbers bea.bandc. Then,p/w.c2: 138 arid (ab+bc4 ea) =131. b + cp=a7+02+c2+ 2(eb+hc4ca) = 138 + 2 x 131 401 airbiic .720. 8. Answer (d)

Let the ten's digit bexand unit's digit bey. Then, number = 10x+y. Number obtained by interchanging the digits = 10y+x. (10x+y) + (10y+x) = 11(x+y), which is divisible by 11. 9. Answer (a) Let the ten's digit bex. Then, unit's digit =x+ 2. Number = 10x+ (x+ 2) = 11x+ 2. Sum of digits =x+ (x+ 2) = 2x+ 2. (11x+ 2)(2x+ 2) = 144 22x2+ 26x- 140 = 0
11x2+ 13x- 70 = 0 (x-2)(11x+ 35) = 0 x= 2. Hence, required number =11x+ 2 = 24. 10. Answer (a) Let the number be x. Then, x + 17 =60 x2+ 17x- 60= 0 (x + 20)(x- 3) = 0 x = 3. 11. Answer (c) Let the numbers be x and y. Then, xy = 9375 and - =15.
9375 (xly) 15 y2 = 625, y=25. x=15yr(15 x25): 375. Sum of the numbers = x + y = 375 + 25 = 400. 12. Answer (b) Let the numbers bexandy. Then,xy= 120 andx212= 289. , (x+y)7.=x2+y2+ 2xy= 289 + (2 x 120) = 529 x+y= 23. 13. Answer (b) Let the middle digit bex. Then, 2x=10 or 5. So. the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digits is smaller than the unit's digit. Hence, required number = 253. 14. Answer (b) Let the numbers bexandy.