DSSSB 2020 Square Roots And HCF And LCM Questions : 25th January 2020

Maths Questions

Q1. Find the HCF of 972, 2268 and 2430
972, 2268 और 2430 का HCF बताएं
(a) 126
(b) 62
(c) 162
(d) 61

Q2. The sum and difference of the LCM and HCF of two numbers are 112 and 72 respectively. If the one of the numbers is 46, find the 2nd number.
दो संख्याओं के LCM और HCF का योग और अंतर क्रमशः 112 और 72 है. यदि एक संख्या 76 है तो दूसरी संख्या बताएं.
(a) 45
(b) 40
(c) 43
(d) None of these/ इनमें से कोई नहीं

Q3. Find the greatest number which on dividing 1652 and 3023 leaves the remainder 7 and 8 respectively.
सबसे बड़ी संख्या ज्ञात करें जो 1652 और 3023 को विभाजित करने पर क्रमशः शेष 7 और 8 शेषफल देती है
(a) 270
(b) 5
(c) 225
(d) 25

Q4. Find the smallest four digits exactly divisible by 24,36,54 and 81
सबसे छोटी चार अंकों की संख्या ज्ञात करें जो 24,36,54 और 81 से पूरी तरह विभाज्य हो.
(a) 1296
(b) 1046
(c) 1268
(d) 1248

Q5. Anil, Ram, Shiv begin to run around a square park and they complete their revolutions in 27 seconds, 21 seconds and 42 seconds respectively. After how much time will they come together at the starting point?
अनिल, राम, शिव एक वर्गीय आकार के पार्क के चारों ओर दौड़ना शुरू करते हैं और वे क्रमशः 27 सेकंड, 21 सेकंड और 42 सेकंड में अपना चक्कर पूरा करते हैं. अपने शुरूआती बिंदु पर वे एक साथ कितने समय के बाद आएंगे?
(a) 5 min 18 sec/ 5 मिनट 18 सेकंड
(b) 6 min 24 sec/ 6 मिनट 24 सेकंड
(c) 6 min 18 sec/ 6 मिनट 18 सेकंड
(d) None of these/ इनमें से कोई नहीं

(a) 3
(b) 2
(c) 1
(d) 0

(a) 196
(b) 169
(c) 144
(d) 196

Solutions

S1. Ans.(c)
Sol. HCF of 972, 2268 and 2430 = 162

S3. Ans.(b)
Sol. 1652-7 = 1645
3023-8 = 3015
HCF of 1645, 3015 = 5

S4. Ans.(a)
Sol. LCM of 24, 36, 54 and 81 = 648
= 1296 is smallest 4 digits number

S5. Ans.(c)
Sol. LCM of 27, 21, 42 = 378 sec
They will come together after 378 sec
Or 6 min 18 sec

 
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