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Quanta Test

Quanta

Q-1 Find least value.
(a) 1/21 (b) 1/22 (c) 1/23 (d) 1/24
Q-2 (x- 7) (x2+ 7x+ 12)/(x+ 4) (x +3) =?
Q-3 (1/15)0+(1/25)1/2+?
(a) 31/6 (b) 31/5 (c) 31/9 (d) 31/5
Q-4 (315)0+(1/25)1/2+5
(a) 1+1/5 (b) 31/5 (c) 31/9 (d) None
Q-5 (4 - 2/3) (4 -5/10) (4-2/35)
(a) 44 (b) 46 (c) 48 (d) None
Q-6 Find ascending order, which is correct?
(a) 1/2 <> 1/3 > 1/4
(c) A&B (d) None
Q-7 1333×1103/ (13x)2 + (110)2- (13x) (110)
(a) 13 (b) 3
(c) 8 (d) 9
Q-8 HCF of (105, 15) is
(a) 7 (b) 15 (c) 18 (d) None
Q-9 HCF of (117, 13) is
(a) 11 (b) 13 (c) 105 (d) None
Q-10 6+x/7+x =4/5
(a) 3 (b) 2 (c) 18 (d) None
Q-11 If XY =Y/400 , find X
(a) 1/4 (b) 1/40 (c)1/400 (d) None
Q-12 400% of x=25, what will be value of x
(a) 6.5 (b) 6. 25 (c) 6. 85 (d) None
Q-13 25: 125 = 6:X
(a) 6 (b) 5 (c) 8 (d) 9
Q-14 If x/y =2/3 what can you say about
3x +5y/ 3x + 4y
(a) 7/8 (b) 7/6 (c) 7/9 (d) None
Q-15 300/¥ =?
(a) 3 (b) 300 (c) 0 (d) None
Q-16 Divide 10 Rs to Ram & Sham in ratio of 2:5
(a) 6.33, 7.1 (b) 6, 9 (c) 1 (d) 8
Q-17 If A=X2 -100/ X2-81 & B=X -10/ X- 9
Find A/B
(a) x +10/9 (b) x +10/x + 9
(c)x + 8/ x +6
(d) None
Q-18 Find x- y/x+ y , if x2 - y2/(x+y) 2 = 4/5
(a) 4/5 (b) 4/6 (c) 4/9 (d) None
Q-19 What is difference between two consecutive even no.?
(a) Even (b) Odd (c) A&B (d) None
Q-20 4/7 × 4/7/ 4/7+ 4/7+ 4/7 = X
(a) 12/6 (b) 1/40 (c) 1/400 (d) None
Q-21 Ö5×Ö3
(a) Ö5 (b) Ö3 (c) Ö15 (d) None
Q-22 53/52= X (a) 5 (b) 52 (c) 53 (d) None
Q-23 56/50= X
(a) 56 (b) 55 (c) 5 (d) None
Q-24 50/5¥ =?
(a) 10 (b) 0 (c) 3 (d) None
Q-25 5¥ /50
(a) ¥ (b) 3 (c) 8 (d) None

REASONS & ANSWERS:-

1 (d) 1/24
21< 22< 23<24
i.e. 1/21> 1/22>1/23> 1/24
2 (a) (x -7) (x+ 4) (x+ 3)/ (x+ 4) (x+ 3)
= X - 7
3 (a) 31/5
=1 + 1/5 +5
=6 + 1/5
=31/5
4 (a) 386 1/25
=1+385 1/25
=386+1/25
5 (b) 46
=(10/3) (35/10) (138/35)
= 138/3 = 46
6 (b) 1/2 > 1/3 > ¼
7 (a) 3
1333 ×1103/ (133)2 + (110)2 - (133) (110)
8 (b) 15
9 (b) 13
10 (a) 3
6 +x/7+ x = 4/5
5(6+ x) 4(7 +x)
30 + 5x = 28 + 4x
3 = x
11 (c) 1/400
=Xy = y/100
= X = 1/400
12 (b) 6.25
=400/100
= X = 25/4
= X =6.25
13 (b) 5
14 (b) 7/6
= 3x/y + 5/ 3x/y +4
= 3(2/3) + 5/ 3(2/3) + 4
= 7/6
15 (c) 0
16 (a) 6.33, 7 .1
10 × 2/7 = 20/7 = 6.33
10 ×5/7 = 50/7 =7.1

(b)X+ 10/ X +9
17 = A/B = (X -10) (X+ 10)/ (X -9) (X +9) = X - 10/ X -9
= X +10/ X +9
18 (a) 4/5
(x- y) (x+y)/(x+ y)2
= 4/5
x - y/ x +y = 4/5
19 (a) Even
20 (b) 12/7
21 (c) Ö15
22 (a) 5
23 (a) 56
24 (b) 0 25 (a) ¥

Quanta Test

Quanta
Q-1 Which of the following is not a natural no.?
(a) 15 (b) 7¤8 (c) 16 (d) 9
Q-2 In x ¤y if y = 0, them its value become
(a) 0 (b) 1 (c) ¥ (d) 9
Q-3 25 ´ 25
(a) 625 (b) 630 (c) 648 (d) 659
Q-4 Which of the following are not consecutive even no.?
(a) 2,4,6,8 (b) 4,6,8,10
(c) 8,12,14,18 (d) 10,12,14,16
Q-5 13 ´ 15 + 1
(a) 120 (b) 181 (c) 196 (d) None
Q-6 Which of the following is a prime triplet?
(a) 11,13,17 (b) 11,17,19
(c) 2,7,11 (d) None
Q-7 Find unit digit in
15 11 ´ 13 22
(a) 3 (b) 2 (c) 5 (d) 8
Q-8 Which is true?
(a) (2+7+9) ¤ 5 = 2 ¤ 5 + 7 ¤ 5 + 9 ¤ 5
(b) (2+8+9) ¤ 4 = 2 ¤ 4 + 9 ¤ 4
(c) (4+9+11) ¤ 5 = 4 ¤ 11 + 9 ¤ 5 + 11 ¤ 6
(d) None
Q-9 9 ¤ 8 is same as
(a) 18 ¤ 26 (b) 27 ¤ 24 (c) 19 ¤ 25 (d) None
Q-10 Find compounded ratio of 4 ¤ 5: 9 ¤ 7: 2 ¤ 6
(a) 72 ¤ 210 (b) 73 ¤ 40
(c) 92 ¤ 168 (d) None
Q-11 Which is a ratio?
(a) 16 ¤ 15 (b) - 25
(c) 19 (d) None
Q-12 196:225 is a duplicate rtio of
(a) 14:16 (b) 14:15
(c) 16:17 (d) None
Q-13 7 x + 5 ¤ 9 x + 8 = 4 ¤ 3
Find x
(a) - 16 ¤ 15 (b) - 17 ¤ 15
(c) - 18 ¤ 19 (d) None
Q-14 Ö 500 in a mean proportional of
(a) 25,25 (b) 25,20
(c) 20,30 (d) None
Q-15 In m ¤ sec value of 18km ¤ h is
(a) 4 m ¤ sec (b) 5 m ¤ sec
(c) 10 m ¤ sec (d) None
Q-16 If a body is acted by 50 N force in eastward direction & 50N force in
Westward direction then what will be its resultant?
(a) 0 (b) 5 (c) 100 (d) 50
Q-17 If a bus cover a distance of 500 m in 10 sec them what will be its velocity?
(a) 50 m ¤ sec (b) 40 m ¤ sec
(c) 30 m ¤ sec (d) None
Q-18 If area of square is 25 m2 then what will side of a square?
(a) 6 m (b) 5 m (c) 9 m (d) 8 m
Q-19 If 5m is one side of an equilateral triangle then what will be length of another
sides of triangle
(a) 6 , 5 (b) 5, 5 (c) 8 , 5 (d) None
Q-20 15! ¤ 13! ´ 2! = ?
(a) 106 (b) 105 (c) 108 (d) 109
Q-21 In v = 4 ¤ 3 p r3 , what do you mean by r?
(a) Diameter (b) Radius
(c) a & b (d) None
Q-22 0! ¤ (715)0 + 4 !
(a) 26 (b) 25 (c) 28 (d) 29
Q-23 Which is A.P?
(a) 17,19,21 (b) 17,18,25
(c) 19,21,29 (d) None
Q-24 Which is H.P of 13,15,17
(a) 1 ¤ 13,15,1 ¤ 17 (b) 1 ¤ 13,1 ¤ 15,1 ¤ 17
(c) 13,18,19 (d) None
Q-25 3,9,27…….. , find sum of infinite term
(a) -13 ¤ 5 (b) -13 ¤ 2
(c) -13 ¤ 8 (d) None

Reasons and Answers:
1(b) 7¤8
2(c) ¥
3 (a) 625
4(c) 8,12,14,18
5(c) 196 product of two consecutive
odd number +1 is a perfect sqare
6(a) 11,13,17
7(b) 2 (1 ´ 2 = 2)
8(a) (2+7+9) ¤ 5 =2 ¤ 5+7¤ 5+9 ¤ 5
9(b) 27 ¤ 24
10(a) 72 ¤ 210
11(a) 16 ¤ 15
12(b) 14!15
13(b) 3(7x +5) =(9x +8)4
21x +15=36x +32
-17 =15x
X= -17 ¤ 15
14(b) 25,20
Ö 25´20
Ö 500
15(b) 5m ¤ sec
16(a) 0
Because force act in equal & opposite direction
17(a) 50 m ¤ sec
V =d ¤ t
V = 500¤ 10
50 m¤ sec
18(b) Area =25
L2 =25
L =25m
19(b) 5,5
20(b) 105
15´14´13! ¤ 13!´2!
15´14 ¤ 2
15´1
105

21(b) Radius
22(b) 25
1¤ 1+24
25
23(a) 17,19,21
24(b) 1 ¤ 13,1¤ 15,1 ¤ 17
25(b) -13 ¤ 2
S¥ =a ¤1-r
Here a =13,r =3
S ¥ =13 ¤ 1-3
13 ¤ -2
-13 ¤ 2

Quanta Test

Quanta
Q-1 3 is a?
(a) Smallest Natural Number (b) Smallest odd prime no.
(c) Smallest prime no. (d) None
Q-2 For prime no. how many factor must be there?
(a) 1 (b) 2 (c) 3 (d) 4
Q-3 Find the sum of prime no. between 10 to 20?
(a) 70 (b) 60 (c) 90 (d) 191
Q-4 1252-1002/25 =?
(a) 130 (b) 125 (c) 138 (d) None
Q-5 6x=36 Find x=?
(a) 6 (b) 7 (c) 8 (d) 9
Q-6 3154×125 =Y
What will be at unit place of y?
(a) 0 (b) 2 (c) 3 (d) 5
Q-7 LCM of 12¸24¸36 is?
(a) 36 (b) 24 (c) 12 (d) 48
Q-8 Find LCM of 3/5¸ 4/6¸7/8 ?
(a) 83 (b) 84 (c) 190 (d) 90
Q-9 15+x+10 =16+10+2+2¸ Find x?
(a) 6 (b) 5 (c) 8 (d) 9
Q-10 1003+ 1053/ (1002+1052-100×105)
(a) 205 (b) 210 (c) 213 (d) 218
Q-11 If x & y are divisibly by 3, than which of the following will
be true?
(a) X+Y will be divisible by3 (b) X-Y is divisible by 5
(c) A&B (d) None
Q-12 131/2 131/6=2?
(a) 134/5 (b) 132/3 (c) 13 (d) None
Q-13 1/3Ö3 also equal to?
(a) Ö3/9 (b) 53/6 (c) 53 (d) None
Q-14 If (151/5)5=?
(a) 16 (b) 3 (c) 15 (c) None
Q-15 Ö141 ×Ö141 = ?
(a) 141 (b) 1412 (c) 1141 (d) None
Q-16 If x/y =4/5 then what will be value of y/x?
(a) 5/4 (b) 5/6 (c) 5/8 (d) None
Q-17 From the following which is minimum?
(a) 1/8 (b) 1/9 (c) 1/10 (d) None
Q-18 If 34/8= 243, find n
(a) 30 (b) 40 (c) 80 (d) None
Q-19 [ 110.5×110.5×110.5] + (111×111×111)/ 110.5×110.5+ 111×
111+ 110.5×111
(a) 221.5 (b) 121.5 (c) 119.5 (d) None
Q-20 (315)0/315+33 +1/0
(a) ¥ (b) 1 (c) 3 (d) 5
Q-21 4+4/x, find it’s reciprocal
(a) x/4x+4 (b) 4x+4/x (c) 4x+4 (d) None
Q-22 If 10xyz=1000 find xyz
(a) 13 (b) 4 (c) 3 (d) 9
Q-23 If x + y =15
2x-y =6 find x
(a) 6 (b) 7 (c) 8 (d) 9
Q-24 If x=4/5
y=5/6, z = 6/7 find xyz
(a) 4/6 (b) 4/7 (c) 4/8 (d) 3/6
Q-25 log27×log73
(a) log3/log2 (b) log7/log3 (c) log3 (d) None

REASONS & ANSWERS:-

1 (b)
2 (b) 2
3 (b) 60
11,13,17,19 are prime no. between 10 to 20
Sum = 11+13+17+19=60
4 (b) 125
(125-100) (125+100) / 25
25 (125)/25
125
5 (a) 6
6 (a) 0
7 (a) 36
8 (b) 84
LCM of 3/5, 4/6, 2/8 =LCM of 3,4,7/ HCF of 5,6,8,
= 84/1
= 84
9 (b) 5
X+25=30
X=5
10 (a) 205
a3 +b3= (a + b) (a2+b2+ab)
11 (a) X+Y will be divisible by3
Let x=6, y=9
12 (b) 132/3
=131/2 +1/6
=13 3+ 1/6
=134/6
13 (a) Ö3/9
1/353
= 1/353 Ö3/3
=Ö3/ 3.3
=Ö3/9
14 (c) 15
=(151/5)5
= 151/5×5
= 15
15 (a) 141
16 5/4
17 1/8
=8 < 9 < 10
1/8 > 1/9 > 1/10
18 (b) 40
34/8=35
n/8 = 5, n = 40
19 (a) 221.5
a3+b3= (a2 + b2+ ab) (a + b)
20 (a) ¥
=1/ 315 + 9 + ¥
=1/324 + ¥
=¥
21 (a) x/4x + 4 its reciprocal is x/ 4x + 4
22 (c) 3
10xyz= 103 xyz=3
23 (b) 7
Add
=3x=21
= x=7
24 (b) 4/7
xyz=4/5 × 5/6 × 6/7
25 (a)
log 3/ log2
Log7/log2 × log3/log7
Log3/log2

Quantitative Test

Quantitative Aptitude

Q-1 Find xy in 3344xy if it divisible by 4?
(a) 15 (b) 48
(c) 26 (d None
Q-2 x = 42/3 85/2 / 43/5 find x
(a) 253/4 (b) 2/8
(c) 253/6/ 26/5 (d) None
Q-3 If -2 < -1 , then if it is multiplied by -5, then it become
(a) 10 <> 5
(c) 10 = 5 (d) None
Q-4 If side of equilateral triangle is 4cm, then what will be its area?
(a) 4cm2 (b) 4Ö3 cm2
(c) 45 cm2 (d) none
Q-5 If 10n = 1000 find n
(a) 2 (b) 3
(c) 4 (d) 8
Q-6 If there are 10 players, then find the No. of ways by which we can choose 3 Player
(a) 110 (b) 120
(c) 130 (d) 140
Q-7 which in not correct one in 3348, 3456, 3468, 3416
(a) 3468 (b) 3348
(c) 3456 (d) None
Q-8 36, 41, 43. 48. 53 , find different one
(a) 41 (b) 43
(c) 53 (d) None
Q-9 Find x2 + y2 + 2xy +3 if x= 3+ √2 & y = 3 - √2
(a) 40 (b) 39
(c) 38 (d) None
Q-10 1/√2 = ?
(a) √2/2 (b) √3
(c) 2 (d) None
Q-11 Find x if (x/25) (x/25) = ?
(a) 26 (b) 25
(c) 90 (d) 135
Q-12 HCF of (21,25) is
(a) 1 (b) 2
(c) 3 (d) 5
Q-13 What will be value of x if arithmetic mean of 2,5,9, ×6,8 is 10
(a) 20 (b) 30
(c) 40 (d) 90
Q-14 What will be a m of 1,2,3,4,……10
(a) 5.4 (b) 5.5.
(c) 5.9. (d) None
Q-15 Find eq. of spare thought circle x2 + y2 + z2 = 5, x+ y +z = 0,which passes through O
(0,0,0)
(a) 2x2 + 2y2 + 2z2 - x - y – z = 0
(b) x + y + z = 0
(c) 2x2 + 2y2 + 2z2 + x +y = 0
(d) None
Q-16 HCF of 23×32×52, 2×31 ×54 , 23×32 ×41 is
(a) 7 (b) 6
(c) 8 (d) 9
Q-17 2 is only……prime no?
(a) Even (b) odd
(c) Integer (d) None
Q-18 13692 is always divisibly by
(a) 3 (b) 2
(c) 5 (d) 9
Q-19 3312 is divisible by
(a) 3 (b) 12
(c) 6 (d) 8
Q-20 √×/3= 4 find
(a) 145 (b) 144
(c) 118 (d) None
Q-21 Find average of 2,6,8,10,12
(a) 9 (b) 8
(c) 9 (d) 10
Q-22 which comes next is 2, 12, 22, 32,
(a) 52 (b) 42
(c) 36 (d) 48
Q-23 10% of 20% of 10 is
(a) 1/6 (b) 1/5
(c) 1/8 (d) 1/9
Q-24 (0.008) × 1000+ 10
(a) 18 (b) 20
(c) 10 (d) 19
Q-25 1310 + 1378 -2600
(a) 88 (b) 98
(c) 198 (d) None


Answers:
1(b) Here we select 48 because if any no. is divisible by 4 then last two digit are divisible by 4
2(c) x = (22) 2/3 (23) 5/2 / (22) 3/5 = 24/3 215/2 / 26/5= 24/3+ 5/2
28+45/6 / 26/5 = 253/6 / 24/5
3(b) – 2 < –1 , 10 < 5
4(b) Area = (√3/4) (4)2= (√ 3) 4 x 4√3cm2
5(b) 10n = 103 , n = 3
6(b) C ( 10,3) = 10/(10-3)! 3! = 10.9.5.7!/7!.3! = 10.9.5/3.2.= 120
7(a) Here except 3468, other are divisible by 4
8(c) Here 53 in wrong because by sequence order we have to add 3 not 5
9(b) x2+ y2 + 2xy + 3= (3+ √2)2 + (3 - √2)2 + 2(3+ √2) (3- √2) + 3 = (9 + 2+ 6√2) + (9+2 - 6√2) + 2(9-2) +3
22+ 14+ 3 = 39
10(a) 1/√2 = √2/√2√2 = √2/2
11(b) x2 /25 . x2 /25 = 625, x= 25
12(a)
13(b) 2+5+9+x+6+8 /6 =10
30+x/6= 10 , 30 +x = 60
x = 30
14(b) a. m = 1+2+3+……+10/10 ,
10(10+1)/2/10 , 11/2 , 5.5.
15(a) Eq. of sphere though circle (x2 + y2 + z2– 5) + k(x + y + 2 - 10) = 0 when it passes through the (0,0,0,) (o+o+o-5)+k(0+0+0-10)= 0 , 5- 10k = 0 , – 10k = +5 put in 1 k = -1/2
(x2 +y2 +z2 -5) - ½ (x + y + 2 - 10) = 0 , 2x2 +2y2 +2z2 -10 - x- y- z +10 = 0
16(b) HCF is 2×31 = 6
17(a)
18b)
19a)
20(b) √x = 12, x = 144
21(b) Ave. = 21+6+8+12+12/5 , 40/5= 8
22(b)
23(b) 10/100 ×20/100× 10 = 1/5
24(a) 8/1000 × 1000 + 10 = 8+10 = 18
25(a) 2688 - 2600 = 88