DSSSB 2020 Number System Questions : 21st January 2020

Maths Questions

Q1. Simplify: 71562-34564-24321-4632-632-32?
सरलीकरण करें: 71562-34564-24321-4632-632-32?
(a) 7380
(b) 7381
(c) 7382
(d) None of these

Q2. Simplify: (2×46×43+43×43+46×46)
सरलीकरण करें: (2×46×43+43×43+46×46)
(a) 7921
(b) 7821
(c) 7961
(d) 7941

(a) 9396
(b) 9368
(c) 9398
(d) 9364

Q4. What least value must be assigned to q so that the number 267q3285 is divisible by 3?
q को कम से कम मान वाली कौन-सी संख्या दी जाएगी ताकि 267q3285 संख्या 3 से विभाज्य हो?
(a) 3
(b) 6
(c) 9
(d) All of the above/ उपरोक्त सभी

Q5. If ‘a’ is a positive Integer such that (a²+12+14a) is exactly divisible by ‘a’ find the possible value ‘a’.
यदि ‘a’ एक धनात्मक पूर्णांक है कि (a²+12+14a) ‘a’ से पूरी तरह विभाजित हो. तो ‘a’ का संभावित मान ज्ञात करें.
(a) 2
(b) 3
(c) 6
(d) All of the above/ उपरोक्त सभी

(a) 16
(b) 36
(c) 19
(d) 36

Q7. A number when divided by 14 leaves remainder 5 when the cube of the same number is divided by 8, find the remainder.
14 से विभाजित होने पर एक संख्या का शेषफल 5 आता है. यदि उसी संख्या का घन 8 से विभाजित होगा तो शेषफल क्या होगा?
(a) 3
(b) 5
(c) 8
(d) 6

Q8. 246×?×46= 4,86,588
(a) 47
(b) 45
(c) 43
(d) 44

Q9. (x+y)=21 and xy=108, then what is the value of x²+y² ?
(x+y)=21 और xy=108, तो x²+y² का मान ज्ञात करें?
(a) 256
(b) 225
(c) 259
(d) 279

(a) 60
(b) 30
(c) 120
(d) 150

Solutions

S1. Ans.(b)
Sol. 71562-34564-24321-4632-632-32
= 71562-64181
= 7381

S2. Ans.(a)
Sol. (2×46×43+43×43+46×46)
(a²+b²+2ab)= (a+b)²
(46+43)²= (89)²
= 7921

S4. Ans.(d)
Sol. 267q3285÷3
The value of q = 3,6,9

S5. Ans.(d)
Sol. Let a= 2
a²+12+14a = (2)²+12+28
= 4+12+28
= 44
So,the value of a would be 2,3,6

S7. Ans.(a)
Sol. 14+5 = 19
(19)³= 6859
= 6859÷8
Remained = 3

S9. Ans.(b)
Sol. x+y= 21
xy= 108
(x+y)² = x²+y²+2xy
(21)² = x²+y²+2×108
441 = x²+y²+216
x²+y² = 225

 
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