SSC MTS | CHSL Quiz : Quantitative Aptitude | 31-08-2022

Dear Readers,

As SSC  MTS | CHSL  notification is out and candidates have started their preparation for this exam. Mahendras also has started special quizzes for this examination. This series of quizzes are based on the latest pattern of the   SSC  MTS | CHSL  examination. Regular practice of the questions included in the quizzes will boost up your preparations and it will be very helpful in scoring good marks in the examination.

Q-1

(256)^0.16 × (16)^0.18  equal to-

(256)^0.16 × (16)^0.18  बराबर है-

A. 4

B. 16

C. 64

D. 256.25

Q-2

If x = 3 + the x2 + is equal to.

यदि x = 3 + हो, तो x2 + बराबर होगा।

A. 38

B. 36

C. 34

D. 30

Q-3

 Sum and product of two numbers is 12 and 15 respectively, then what will be the sum of their reciprocals?

दो संख्याओं के योगफल और गुणनफल क्रमशः 12 और 35 है। उनके व्युत्क्रमों का योगफल कितना होगा?

A. 12/35

B. 1/35

C. 35/8

D. 7/32

Q-4

 A can do a piece of work in 10 days and B in 20 days. They work together but 2 days before the completion of the work A leaves. In how many days remaining work will be completed by B?

A किसी काम को 10 दिन में करता है और B 20 दिन में करता है। दोनों साथ साथ काम शुरू करते है और काम पूरा होने से दो दिन पहले A काम छोड़ देता है। शेष काम को B कितने दिनों में पूरा करेगा?

A. 6 day/दिन

B. 8 day/दिन

C. 4 day/दिन

D. 12 day/दिन

Q-5

 If x = , find he value of

यदि x = तो का मान क्या होगा?

A.

B.

C.

D.

Q-6

tan5⁰. tan35⁰ . tan45⁰ . tan55⁰ . tan85⁰ = ?

A. -1

B.

C. 0

D. 1

Q-7

 A person covers 9 km at a speed of 3 km/hr, 25 km at a speed of 5 km/hr and 30 km at a speed of 10 km/hr. Find the average speed for the entire journey.

एक आदमी 3 किमी./घं. की चाल से 9 किमी, 5 किमी./घं. की चाल से 25 किमी. और 10 किमी/घं. की चाल से 30 किमी. की दूरी तय करता है, तो उसकी पूरा यात्रा की औसत चाल ज्ञात कीजिये।

A. 7km/hr/किमी/घं.

B. 5km/hr/किमी/घं.

C. 4km/hr/किमी/घं.

D. 5km/hr/किमी/घं.

Q-8

 The average of 8 men is increased by 2 years when 2 of them whose ages are 21 and 23 years are replaced by two new men. The average age of two new men is.

8 आदमी की औसत आयु 2 वर्ष ब<+ tkrh tc 21 o"kZ vkSj 23 o"kZ ds LFkku ij nks u;s vkneh vk tkrs gS nksuksa u;s vkneh dk vkSlr vk;q D;k gksxh \

A. 28 years/वर्ष

B. 30 years/वर्ष

C. 22 years/वर्ष

D. 20 years/वर्ष

Q-9

In an mixture the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17.5 kg of alloy then the ratio of copper and zinc will be-

किसी मिश्रण में तांबा और जस्ता का अनुपात 5 : 2 है। यदि 1.250 किग्रा. जस्ते को 17.5 किग्रा. मिश्रण में मिला दिया जाता है, तो तांबा और जस्ता का अनुपात होगा-

A. 2 : 1

B. 2 : 3

C. 3 : 2

D. 1 : 2

Q-10

What sum of money will amount to Rs. 520 in 5 years and 568 in 7 years at simple interest?

किसी साधारण ब्याज से कोई धनराशि 5 वर्ष में 520 रू. और 7 वर्ष में 568 रू. हो जाती है। तो धन राशि क्या होगी?

A. Rs. 400

B. Rs. 350

C. Rs. 510

D. Rs. 375

ANSWER:-

Q-1(1)

Q-2(3)

Q-3(1)

Let no. x and y/ माना संख्या x और y है।

then/तब x+y = 12

xy = 35,

x2 + 35 = 12x ⇒ x2 – 12x + 35 = 0

x2– 7x–5x + 35 = 0⇒ x(x–7)–5(x–7) = 0

(x–7) (x–5) = 0, x = 7, 5 , x = 7

y = 12 – 7 = 5

Q-4(2)

A leaves 2 days before the completion of work.

A dke iwjk djus ds nks fnu igys dke NksM+ nsrk gSA

Now B's one day work=

B dk ,d fnu dk dke =

B's 2 days work = 2 × =

B dk nks fnu dk dke = 2 × =

Remaing work = 1 - =

'ks"k dke = 1 - =

A's one day work =

A dk ,d fnu dk dke =

B's one day work =

B dk ,d fnu dk dke =

(A+B)'s on days work =

(A+B) dk ,d fnu dk dke =

work is done by A & B in one days.

 dke (A+B) }kjk 1 fnu esa fd;k x;kA

work done A & B in =

dke A+B}kjk  =

Total time = 2 + 6 = 8 days

1 iwjk le; = 2 + 6 = 8 fnu

Q-5(2)

Q-6(4)

tan5⁰ . tan35⁰ . tan45⁰. tan55⁰ . tan 85⁰

= tan(90-85)tan(90-55)tan 45⁰. tan 55⁰ tan 85⁰

= cot85⁰ .cot55⁰.tan45⁰ . tan55⁰ tan 85⁰

 tan55⁰. tan 85⁰ = 1

Q-7(4)

Total distance/dqy nwjh

= (9 + 25 + 30) km = 64 km/fdeh

Total time/dqy le;

= = 3 + 5 + 3 = 11 hour@?ka-

Average speed/vkSlr pky

= km/hr/fdeh@?ka-

Q-8(2)

When 2 new men are replaced, average age increased by 2 years

tc nks u;s vkneh cny fn;s tkrs gS rks vkSlr vk;q nks lky c<+ tkrh gSA

Increase in total age of 8 men = 8 × 2

8 vkneh dh c<+h gqbZ vk;q = 8 × 2

= 16 years/o"kZ

Total age of two new men = 16+44 = 60 years

nks u;s vknfe;ksa dh vk;q = 16+44 = 60 o"kZ

Average age = 60/2= 30 years

vkSlr vk;q =60/2 = 30 o"kZ

Q-9(1)

Amount of copper =kg. = 12.5 kg.

rk¡cs dh ek=k=fdxzk- = 12.5fdxzk-

Amount of zinc kg. = 5 kg.

tLrs dh ek=kfdxzk- = 5 fdxzk-

New amount of zinc = 5+1.250 kg.= 6.250 kg

tLrs dh u;h ek=k = 5+1.250 fdxzk- = 6.250 fdxzk-

Ratio/vuqikr = 12.5 : 6.250 = 2 : 1

Q-10(1)

Amount/ewY; = P + I , I =

Ist condition/izFke 'krZ -

520=P+ ⇒52000 = 100P+PR×5

IInd condition/f}rh; 'krZ-

568=P+ 56800 = 100P + 7PR

7PR + 100 P = 56800

5PR + 100P = 52000

2PR = 4800

PR = 2400 100P = 52000 - 2400 × 5

= 52000 - 12000, 100P = 40000, P = Rs. 400