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401.

`(3323 div 25) xx (152 div 16)=?`A. 1269.4B. 1264.9C. 1265.3D. 1263.5

Answer» Correct Answer - D
Given expression implies `?=(3325)/(25)xx(152)/(16)`
`=133xx9.5=1263.5`
402.

`sqrt(?)-11=sqrt(1764)`A. `sqrt(2809)`B. `(53)^(2)`C. `sqrt(53)`D. 53

Answer» Correct Answer - B
`sqrt(?)-11=sqrt(1764)` or, `sqrt(?)=42+11=53`
or, `?=(53)^(2)`
403.

`3(1)/(4)+2(1)/(2)+6(1)/(6)=?`A. `13(11)/(12)`B. `11(11)/(12)`C. `12(11)/(12)`D. `15(11)/(12)`

Answer» Correct Answer - B
`?=3(1)/(4)+2(1)/(2)+6(1)/(6)`
`=(3+2+6)+((1)/(4)+(1)/(2)+(1)/(6))=11+((3+6+2)/(12))=11(11)/(12)`
404.

`(1)/(4) ` th of `(1)/(2)` nd of `(3)/(4)`th of 52000=?A. 4875B. 4857C. 4785D. 4877

Answer» Correct Answer - A
`?=52000xx(3)/(4)xx(1)/(2)xx(1)/(4)=4875`
405.

`3sqrt(42875)-?=21`A. 18B. 13C. 15D. None of these

Answer» Correct Answer - D
`3sqrt(42875)-?=21`
`rArr 3sqrt(35xx35xx35)-?=21`
`rArr 35-?=21 rArr ? = 35 - 21`
`=14`
406.

`(57)/(67)xx(32)/(171)xx(45)/(128)=?`A. `(15)/(262)`B. `(15)/(268)`C. `(15)/(266)`D. `(17)/(268)`

Answer» Correct Answer - B
`?=(57)/(67)xx(32)/(171)xx(45)/(128)=(15)/(268)`
407.

If (57)2 is added to the square of a number, the answer so obtained is 8010. What is the number? (a) 61 (b) 63 (c) 67 (d) 59 (e) None of these

Answer»

(e) Let the number be = x
According to the question,
x2 + 572 = 8010
or, x2 + 3249 = 8010
or, x2 = 8010 – 3249 = 4761
or, x = 4761 = 69

408.

`(14)/(19)xx(57)/(70)xx(20)/(21)=?`A. `(2)/(7)`B. `4/7`C. `2/9`D. `3/7`

Answer» Correct Answer - B
`?=(14)/(19)xx(57)/(70)xx(20)/(21)=(2)/(1)xx(3)/(10)xx(20)/(21)=(2)/(1)xx(1)/(1)xx(2)/(7)=(4)/(7)`
409.

`5554-333+45=?+2525`A. 2174B. 2417C. 2714D. 2741

Answer» Correct Answer - D
`?+2525=5554-333+45`
`:. ?=5266-2525=2741`
410.

`sqrt(3236)-sqrt(1764)=sqrt(?)`A. 14B. `(196)^(2)`C. -14D. None of these

Answer» Correct Answer - D
`sqrt(3136)-sqrt(1764)=sqrt(?)`
`rArr 56-42=sqrt(?)`
`rArr sqrt(?)=14`
On squaring both the side
`:. ?=14xx14=196`
411.

`(2525 xx 0.25 div 5) xx7= ?`A. 889.43B. 883.75C. 886.45D. 881.75

Answer» Correct Answer - B
Given expression can be written as
`?=(2525xx0.25xx7)/(5) = 883.75`
412.

`5(1)/(5)+2(2)/(15)+3(2)/(3)=?`A. 15B. 13C. `(11)/(15)`D. None of these

Answer» Correct Answer - D
`?=5+(1)/(5)+2+(2)/(15)+3+(2)/(3)`
`=10+(1)/(5) + (2)/(15)+(2)/(3)`
`=10(3+2+10)/(15)10+(15)/(15)`
`=10+1=11`
413.

`1+1/(1+1/5)=?`A. `11/6`B. `13/6`C. `15/6`D. None of the above

Answer» Correct Answer - A
According to the question
`implies1+1/(1+1/5)implies1+1/(6/5)`
`implies 1+5/6implies11/6`
414.

`((3.2)^(3)-0.008)/((3.2)^(2)+0.64+0.04)` का मान क्‍या है?A. `0`B. `2.994`C. `3.208`D. `3`

Answer» Correct Answer - D
According to the question
`implies((3.2)^(3)-0.008)/((3.2)^(2)+0.64+0.04)`
`implies ((3.2)^(3)_(0.2)^(3))/((3.2)^(2)+0.64+0.04)`
`[ :. a^(3)-b^(3)-(a-b)(a^(2)+ab+b^(2)]`
`implies(((3.2)-0.2)[(3.2)^(2)+(0.2)^(2)+3.2xx0.2])/((3.2)^(2)=3.2xx0.2+(0.2)^(2))`
`implies 3.2-0.2=3`
415.

0.08 × ? × 1.6 =0.2944 (a) 1.3 (b) 0.4 (c) 0.2 (d) 2.3 (e) None of these

Answer» (d) ?= 0.2944/0.08 x 1.6 = 2.3
416.

1256 × 3892 = ? (a) 4883582 (b) 4888352 (c) 4888532 (d) 4883852 (e) None of these

Answer» (b) ? = 1256 × 3892 = 4888352
417.

4.036 divided by 0.04 gives1. 1.0092. 10.093. 100.94. None of these

Answer» Correct Answer - Option 3 : 100.9

Given:

4.036 is divided by 0.04

Calculation

Let ‘N’ be the number when 4.036 is divided by 0.04 gives.

According to the question,

N = 4.036/0.04 = 100.9

4.036 divided by 0.04 gives 100.9

418.

`-15-27-88-63+255= ?`A. 55B. 74C. 62D. 59

Answer» Correct Answer - C
`?=-15-27-88-63+255`
`=-193+255=62`
419.

0.08 × 0.5 + 0.9 = ? (a) 1.3 (b) 0.94 (c) 0.112 (d) 1.5 (e) None of these

Answer» (b) ? = 0.08 × 0.5 + 0.9
= 0.04 + 0.9 = 0.94
420.

12.22 + 22.21 + 221.12 = ? (a) 250.55 (b) 255.50 (c) 250.05 (d) 255.05 (e) None of these

Answer» (e) ? = 12.22 + 22.21 + 221.12
= 255.55
421.

12.8 × 2.5 + 8.6 = ? (a) 41.3 (b) 39.6 (c) 40.6 (d) 142.08 (e) None of these

Answer» (c) ? = 12.8 × 2.5 + 8.6
= 32 + 8.6 = 40.6
422.

124 × 1213 = ? (a) 127 (b) 1239 (c) 1217 (d) 12–7 (e) None of these

Answer»

(c) ? = 124 × 1213 = 124+13 = 1217

423.

If 2x+4 - 2x+2 = 3 then value of x is1. - 22. 23. 14. - 1

Answer» Correct Answer - Option 1 : - 2

Given:

2x+4 - 2x+2 = 3

Formula used:

am + = am.an

Calculation:

2x+4 - 2x+2 = 3

⇒ 2x.24 - 2x.22 = 3

⇒ 2x(24 - 22) = 3

⇒ 2x = 1/4

⇒ 2= 2- 2

⇒ x = - 2

∴ value of x is -2.

424.

A third of Arun’s marks in mathematics exeeds a half of his marks in english by 80. If he got 240 marks In two subjects together how many marks did he got in english?

Answer»

Let Arun’s marks in mathematics and english be x and y 

Then 1/3x-1/2y=30 

2x-3y=180……>(1) 

x+y=240…….>(2) 

solving (1) and (2) 

x=180 and y=60

425.

`sqrt(0.000441)` का मान किसके ‌बराबर है?A. `0.21`B. `0.0021`C. `0.021`D. `0.00021`

Answer» Correct Answer - C
According to the question
` implies sqrt(0.000441)`
`impliessqrt(441/1000000)`
`implies 21/100=0.21`
426.

`sqrt(0.441/(0.625)` का मान किसके ‌बराबर है?A. 0.048B. 0.84C. 0.48D. 0.084

Answer» Correct Answer - B
According to the question
` impliessqrt(0.441/0.625)impliessqrt(441/625)`
`implies 21/25=0.84`
427.

Solve: 1 + 1/2 + 1/4 + 1/7 + 1/14 + 1/28 = 1. 22. 53. 64. 4

Answer» Correct Answer - Option 1 : 2

Here, we have to find the value of 1 + 1/2 + 1/4 + 1/7 + 1/14 + 1/28

Concept Used:

1/a + 1/b = (b + a)/ab

Calculation:

(1 + 1/2) + (1/4 + 1/7) + (1/14 + 1/28)

⇒ 3/2 + 11/28 + 3/28

⇒ (42 + 11 + 3)/28

⇒ 56/28

⇒ 2

Hence, the value of 1 + 1/2 + 1/4 + 1/7 + 1/14 + 1/28 is 2

428.

If x and y are positive number such that (y)x = 441, then what is the value of (y – x)(y + x)/2 1. 1923/ 2 2. 1423/2 3. 1511/2 4. 1719/2

Answer» Correct Answer - Option 1 : 1923/ 2 

(y)x = (21)2

So, y = 21 and x = 2

(21 – 2)(21 + 2)/2

⇒ 19(23/2) 

429.

The value of (9)5 is _____?1. 705002. 138003. 405104. 59049

Answer» Correct Answer - Option 4 : 59049

Here, we have to find the value of (9)5

Calculation:

 (9)5

⇒ 9 × 9 × 9 × 9 × 9  

⇒ 59049

Hence, the value of (9)is 59049

430.

The value of 4.5 + 0.45 + 0.045 + 0.0045 is: 1. 5.00052. 4.999953. 4.9954. 4.9995

Answer» Correct Answer - Option 4 : 4.9995

Calculation:

4.5 + 0.45 + 0.045 + 0.0045 = ?

⇒ 4.9995

∴ The required value is 4.9995

431.

if \(\sqrt {4036} \) = 64, then the value of \(\sqrt {40.36} \) + \(\sqrt {0.4036} \) + \(\sqrt {0.004036} \) + \(\sqrt {0.00004036} \) will be1. 7.12162. 7.09143. 7.11044. None of the above

Answer» Correct Answer - Option 3 : 7.1104

Calculation:

Given, √4036 = 64

⇒ √40.36 = 6.4 

⇒ √0.4036 = 0.64

⇒ √0.004036 = 0.064

⇒ √0.00004036 = 0.0064

Now,

6.4 + 0.64 + 0.064 + 0.0064 = 7.1104

432.

69.2 × 18.4 × 4.5 = ? (a) 5729.76 (b) 5972.76 (c) 5279.76 (d) 5792.76 (e) None of these

Answer» (a) ? = 69.2 × 18.4 × 4.5 =5729.76
433.

153 × 93 – 15552 = ? (a) 41250 (b) 43250 (c) 42350 (d) 44250 (e) None of these

Answer»

(c) ? = 153 × 93 – (1555)2
= 3375 × 729 – 2418025 = 42350

434.

3.2 × 6.8 × 9.5 = ? (a) 207.62 (b) 202.67 (c) 206.27 (d) 207.72 (e) None of these

Answer» (e) ? = 3.2 × 6.8 × 9.5 = 206.72
435.

If 3x + 5y = 44 and 10x–2y=16, what is the value of x? (a) 7 (b) 3 (c) 5.5 (d) 6.5 (e) None of these

Answer» (b) 3x + 5y = 44 ...(i)
10x – 2y = 16 ...(ii)
By equation (i) × 2 + equation (ii) × 5 we have
6x + 10y + 50x – 10y = 88 + 80
or, 56x = 168
x =168/56 = 3
436.

3.2 × 6.8 × 9.5 = ? (a) 207.62 (b) 202.67 (c) 206.27 (d) 207.72 (e) None of these

Answer» (e) 206.72.....
437.

2412 + 1139 + 5498 = ? (a) 8949 (b) 9049 (c) 8749 (d) 9249 (e) None of these

Answer» (b) 9049.....
438.

Find the value of x37½% + 62½% + (1/6) - x = 01. 2.162. 1.163. 3.444. 1.56

Answer» Correct Answer - Option 2 : 1.16

We have to find the value of x from the equation 37½% + 62½% + (1/6) - x = 0

Calculations:

⇒ 37½% + 62½% + (1/6) - x = 0

⇒ x = 37½% + 62½% + (1/6)

⇒ x = (3/8) + (5/8) + (1/6)

⇒ x = 1 + (1/6) 

⇒ x = 7/6

⇒ x = 1.16

∴ The value of x is 1.16

439.

`sqrt(11449)xxsqrt(6241)-(54)^(2)=sqrt(?)+(74)^(2)`A. 384B. 3721C. 381D. 3638

Answer» Correct Answer - B
`sqrt(11449)xxsqrt(6241 )-(54)^(2)=sqrt(?)=sqrt(?)+(74)^(2)`
`rArr sqrt(?)= 107xx79-2916-5476`
`=8453-2916-5476=61`
`:. ?=(61)^(2)=3721`
440.

`[(3sqrt(8)+sqrt(8))xx(8sqrt(8)+7sqrt(8))]-98=?`A. `2sqrt(8)`B. `8sqrt(8)`C. 382D. 286

Answer» Correct Answer - C
`?=[(3sqrt(8)+sqrt(8))xx(8sqrt(8)+7sqrt(8))]-98`
`=(4sqrt(8)xx15sqrt(8))-98=(60xx8)-98`
`=480-98=382`
441.

In standard form, the number 829030000 is expressed as k × 10n. The value of k + n is1. 90.9032. 16.29033. 15.29034. 91.903

Answer» Correct Answer - Option 2 : 16.2903

Given:

The number 829030000 is expressed as k × 10n

Calculation:

 829030000 = k × 10n

8.2903 × 108 = k × 10n

Then comparing both side,

k = 8.2903 And n = 8

So, 

k + n = 8.2903 + 8 = 16.2903

442.

For what value of n, the sum of digits in the number (10n + 1) is 2?1. For n = 0 only2. For any whole number n3. For any positive integer n only4. For any real number n

Answer» Correct Answer - Option 2 : For any whole number n

Given:

The sum of digits in the number (10n + 1) is 2

Calculation:

(10n + 1) = 2

According to the question:

If n= 0

⇒ (100 + 1) = 1 + 1

⇒ 2

If n= 1

⇒ (101 + 1) = 10 + 1 = 11

⇒ Sum of digits = 1 + 1 = 2

If n= 2

⇒ (102 + 1) = 100 + 1 = 101

⇒ Sum of digits = 1 + 0 + 1 = 2

This means that for any whole number n, the sum of digits is 2.

Hence, option 2 is the correct answer.

443.

16.8 % of 705= ?A. 116.88B. 109.66C. 118.44D. 121.22

Answer» Correct Answer - C
`(16.8)/(100)xx705=118.44`
444.

13% of `258-? = 10`A. 23.45B. 24.53C. 23.54D. 24.35

Answer» Correct Answer - C
13% of `258-?=10`
`:. ?=13% ` of 158 - 10
`=258xx(13)/(100)-10=33.54-10=23.54`
445.

13% of 190 + ? = 111A. 68.7B. 93.3C. 24.7D. None of these

Answer» Correct Answer - D
`13% ` of `190+?=111`
or, `24.7+?=111`
or, `?=111-24.7=86.3`
446.

`628.88-410.25+153.05=?`A. 371.68B. 56.58C. 317.68D. 65.58

Answer» Correct Answer - A
371.68
447.

`672div24xx18+153-345=?`A. 318B. 324C. 314D. None of these

Answer» Correct Answer - D
`?=672div24xx18+153-345`
`=28xx18+153-345=312`
448.

What should be subtracted from -5/7 to get -11. -2/72. 4/73. 2/74. -4/7

Answer» Correct Answer - Option 3 : 2/7

Given:

Let,

x is subtracted from the -5/7 to get -1.

Calculation:

\(\frac{-5}{7}\) - x = -1

Then, 

⇒ x = \(\frac{-5}{7}\) +1 

\(\frac{2}{7}\)

449.

`(3.25xx3.20-3.20xx3.05)/0.064` के बराबर है?A. 1B. `1/2`C. `1/10`D. `10`

Answer» Correct Answer - D
According to the question
`implies(3.25xx3.20-3.20xx3.05)/0.064`
`implies (10.4-9.76)/0.064implies0.64/0.064=10`
450.

5 \(\frac{3}{4}\) + x + 2 \(\frac{1}{2}\) = 10 \(\frac{1}{8}\) Find the value of x.1. \(2\frac{1}{4}\)2. \(2\frac{7}{8}\)3. \(1\frac{7}{8}\)4. \(1\frac{7}{6}\)

Answer» Correct Answer - Option 3 : \(1\frac{7}{8}\)

Given:

\(\frac{3}{4}\) + x + 2 \(\frac{1}{2}\) = 10 \(\frac{1}{8}\) 

Calculation:

⇒ 5 \(\frac{3}{4}\) + x + 2 \(\frac{1}{2}\) = 10 \(\frac{1}{8}\) 

⇒ 23/4 + x + 5/2 = 81/8

⇒ 33/4 + x = 81/8

⇒ x = 15/8 = \(1\frac{7}{8}\)

∴ The value of x is \(1\frac{7}{8}\)